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Extensions

Extensions of DHOs of rank=4, dim(U)=7 to rank 5, dim(U)=12

source Ext_ID GAP_id |Aut| dim(P) bilinear univ.cov.
r4_d7_1 49 r5_d12_49 86016 8 1 r5_d15_2
r4_d7_2 2939 r5_d12_2939 30720 11 1 s.c.
r4_d7_3 2938 r5_d12_2938 12288 9 1 r5_d13_121
r4_d7_4 2940 r5_d12_2940 9216 11 1 r5_d14_15
r4_d7_5 2941 r5_d12_2941 3584 11 1 s.c.
r4_d7_6 2937 r5_d12_2937 3072 10 1 s.c.
r4_d7_7 3138 r5_d12_3138 2048 11 0 r5_d13_146

Extensions of DHOs of rank=4, dim(U)=8 to rank 5, dim(U)=13

source Ext_ID GAP_id |Aut| dim(P) bilinear univ.cov.
r4_d8_1 1 r5_d13_1 184320 8 1 r5_d15_1
r4_d8_2 121 r5_d13_121 12288 10 1 s.c.
r4_d8_3 9 r5_d13_9 12288 9 1 r5_d15_2
r4_d8_5 122 r5_d13_122 3072 12 1 r5_d14_14
r4_d8_6 123 r5_d13_123 3072 12 1 r5_d14_15
r4_d8_7 140 r5_d13_140 3072 12 0 r5_d14_15
r4_d8_8 146 r5_d13_146 2048 12 0 s.c.
r4_d8_9 128 r5_d13_128 2048 12 0 r5_d14_14
r4_d8_12 124 r5_d13_124 1024 12 1 s.c.
r4_d8_17 147 r5_d13_147 512 12 0 s.c.

Extensions of DHOs of rank=4, dim(U)=9 to rank 5, dim(U)=14

source Ext_ID GAP_id |Aut| dim(P) bilinear univ.cov.
r4_d9_1 1 r5_d14_1 368640 9 1 r5_d15_1
r4_d9_2 3 r5_d14_3 24576 10 1 r5_d15_2
r4_d9_5 16 r5_d14_16 36864 12 0 s.c.
r4_d9_6 15 r5_d14_15 9216 13 0 s.c.
r4_d9_7 14 r5_d14_14 6144 13 0 s.c.

Extensions of DHOs of rank=4, dim(U)=10 to rank 5, dim(U)=15

source Ext_ID GAP_id |Aut| dim(P) bilinear univ.cov.
r4_d10_1 1 r5_d15_1 319979520 10 1 s.c.
r4_d10_2 2 r5_d15_2 10321920 11 1 s.c.

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