Extensions 1→N→G→Q→1 with N=C6 and Q=C4○D4

Direct product G=N×Q with N=C6 and Q=C4○D4
dρLabelID
C6×C4○D448C6xC4oD496,223

Semidirect products G=N:Q with N=C6 and Q=C4○D4
extensionφ:Q→Aut NdρLabelID
C61(C4○D4) = C2×C4○D12φ: C4○D4/C2×C4C2 ⊆ Aut C648C6:1(C4oD4)96,208
C62(C4○D4) = C2×D42S3φ: C4○D4/D4C2 ⊆ Aut C648C6:2(C4oD4)96,210
C63(C4○D4) = C2×Q83S3φ: C4○D4/Q8C2 ⊆ Aut C648C6:3(C4oD4)96,213

Non-split extensions G=N.Q with N=C6 and Q=C4○D4
extensionφ:Q→Aut NdρLabelID
C6.1(C4○D4) = C4×Dic6φ: C4○D4/C2×C4C2 ⊆ Aut C696C6.1(C4oD4)96,75
C6.2(C4○D4) = C12.6Q8φ: C4○D4/C2×C4C2 ⊆ Aut C696C6.2(C4oD4)96,77
C6.3(C4○D4) = C422S3φ: C4○D4/C2×C4C2 ⊆ Aut C648C6.3(C4oD4)96,79
C6.4(C4○D4) = C4×D12φ: C4○D4/C2×C4C2 ⊆ Aut C648C6.4(C4oD4)96,80
C6.5(C4○D4) = C427S3φ: C4○D4/C2×C4C2 ⊆ Aut C648C6.5(C4oD4)96,82
C6.6(C4○D4) = C423S3φ: C4○D4/C2×C4C2 ⊆ Aut C648C6.6(C4oD4)96,83
C6.7(C4○D4) = C23.8D6φ: C4○D4/C2×C4C2 ⊆ Aut C648C6.7(C4oD4)96,86
C6.8(C4○D4) = C23.9D6φ: C4○D4/C2×C4C2 ⊆ Aut C648C6.8(C4oD4)96,90
C6.9(C4○D4) = Dic3⋊D4φ: C4○D4/C2×C4C2 ⊆ Aut C648C6.9(C4oD4)96,91
C6.10(C4○D4) = C23.11D6φ: C4○D4/C2×C4C2 ⊆ Aut C648C6.10(C4oD4)96,92
C6.11(C4○D4) = Dic3.Q8φ: C4○D4/C2×C4C2 ⊆ Aut C696C6.11(C4oD4)96,96
C6.12(C4○D4) = D6.D4φ: C4○D4/C2×C4C2 ⊆ Aut C648C6.12(C4oD4)96,101
C6.13(C4○D4) = D6⋊Q8φ: C4○D4/C2×C4C2 ⊆ Aut C648C6.13(C4oD4)96,103
C6.14(C4○D4) = C4⋊C4⋊S3φ: C4○D4/C2×C4C2 ⊆ Aut C648C6.14(C4oD4)96,105
C6.15(C4○D4) = C12.48D4φ: C4○D4/C2×C4C2 ⊆ Aut C648C6.15(C4oD4)96,131
C6.16(C4○D4) = C23.26D6φ: C4○D4/C2×C4C2 ⊆ Aut C648C6.16(C4oD4)96,133
C6.17(C4○D4) = C4×C3⋊D4φ: C4○D4/C2×C4C2 ⊆ Aut C648C6.17(C4oD4)96,135
C6.18(C4○D4) = C23.28D6φ: C4○D4/C2×C4C2 ⊆ Aut C648C6.18(C4oD4)96,136
C6.19(C4○D4) = C127D4φ: C4○D4/C2×C4C2 ⊆ Aut C648C6.19(C4oD4)96,137
C6.20(C4○D4) = C23.16D6φ: C4○D4/D4C2 ⊆ Aut C648C6.20(C4oD4)96,84
C6.21(C4○D4) = Dic3.D4φ: C4○D4/D4C2 ⊆ Aut C648C6.21(C4oD4)96,85
C6.22(C4○D4) = Dic34D4φ: C4○D4/D4C2 ⊆ Aut C648C6.22(C4oD4)96,88
C6.23(C4○D4) = C23.21D6φ: C4○D4/D4C2 ⊆ Aut C648C6.23(C4oD4)96,93
C6.24(C4○D4) = Dic6⋊C4φ: C4○D4/D4C2 ⊆ Aut C696C6.24(C4oD4)96,94
C6.25(C4○D4) = C4.Dic6φ: C4○D4/D4C2 ⊆ Aut C696C6.25(C4oD4)96,97
C6.26(C4○D4) = C4⋊C47S3φ: C4○D4/D4C2 ⊆ Aut C648C6.26(C4oD4)96,99
C6.27(C4○D4) = C4.D12φ: C4○D4/D4C2 ⊆ Aut C648C6.27(C4oD4)96,104
C6.28(C4○D4) = D4×Dic3φ: C4○D4/D4C2 ⊆ Aut C648C6.28(C4oD4)96,141
C6.29(C4○D4) = C23.23D6φ: C4○D4/D4C2 ⊆ Aut C648C6.29(C4oD4)96,142
C6.30(C4○D4) = C23.12D6φ: C4○D4/D4C2 ⊆ Aut C648C6.30(C4oD4)96,143
C6.31(C4○D4) = D63D4φ: C4○D4/D4C2 ⊆ Aut C648C6.31(C4oD4)96,145
C6.32(C4○D4) = C23.14D6φ: C4○D4/D4C2 ⊆ Aut C648C6.32(C4oD4)96,146
C6.33(C4○D4) = Dic35D4φ: C4○D4/Q8C2 ⊆ Aut C648C6.33(C4oD4)96,100
C6.34(C4○D4) = C12⋊D4φ: C4○D4/Q8C2 ⊆ Aut C648C6.34(C4oD4)96,102
C6.35(C4○D4) = Q8×Dic3φ: C4○D4/Q8C2 ⊆ Aut C696C6.35(C4oD4)96,152
C6.36(C4○D4) = D63Q8φ: C4○D4/Q8C2 ⊆ Aut C648C6.36(C4oD4)96,153
C6.37(C4○D4) = C12.23D4φ: C4○D4/Q8C2 ⊆ Aut C648C6.37(C4oD4)96,154
C6.38(C4○D4) = C3×C42⋊C2central extension (φ=1)48C6.38(C4oD4)96,164
C6.39(C4○D4) = D4×C12central extension (φ=1)48C6.39(C4oD4)96,165
C6.40(C4○D4) = Q8×C12central extension (φ=1)96C6.40(C4oD4)96,166
C6.41(C4○D4) = C3×C4⋊D4central extension (φ=1)48C6.41(C4oD4)96,168
C6.42(C4○D4) = C3×C22⋊Q8central extension (φ=1)48C6.42(C4oD4)96,169
C6.43(C4○D4) = C3×C22.D4central extension (φ=1)48C6.43(C4oD4)96,170
C6.44(C4○D4) = C3×C4.4D4central extension (φ=1)48C6.44(C4oD4)96,171
C6.45(C4○D4) = C3×C42.C2central extension (φ=1)96C6.45(C4oD4)96,172
C6.46(C4○D4) = C3×C422C2central extension (φ=1)48C6.46(C4oD4)96,173

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