Extensions 1→N→G→Q→1 with N=C6 and Q=C8○D4

Direct product G=N×Q with N=C6 and Q=C8○D4
dρLabelID
C6×C8○D496C6xC8oD4192,1456

Semidirect products G=N:Q with N=C6 and Q=C8○D4
extensionφ:Q→Aut NdρLabelID
C61(C8○D4) = C2×C8○D12φ: C8○D4/C2×C8C2 ⊆ Aut C696C6:1(C8oD4)192,1297
C62(C8○D4) = C2×D12.C4φ: C8○D4/M4(2)C2 ⊆ Aut C696C6:2(C8oD4)192,1303
C63(C8○D4) = C2×D4.Dic3φ: C8○D4/C4○D4C2 ⊆ Aut C696C6:3(C8oD4)192,1377

Non-split extensions G=N.Q with N=C6 and Q=C8○D4
extensionφ:Q→Aut NdρLabelID
C6.1(C8○D4) = C8×Dic6φ: C8○D4/C2×C8C2 ⊆ Aut C6192C6.1(C8oD4)192,237
C6.2(C8○D4) = C2412Q8φ: C8○D4/C2×C8C2 ⊆ Aut C6192C6.2(C8oD4)192,238
C6.3(C8○D4) = C8×D12φ: C8○D4/C2×C8C2 ⊆ Aut C696C6.3(C8oD4)192,245
C6.4(C8○D4) = C86D12φ: C8○D4/C2×C8C2 ⊆ Aut C696C6.4(C8oD4)192,247
C6.5(C8○D4) = D6.C42φ: C8○D4/C2×C8C2 ⊆ Aut C696C6.5(C8oD4)192,248
C6.6(C8○D4) = C42.243D6φ: C8○D4/C2×C8C2 ⊆ Aut C696C6.6(C8oD4)192,249
C6.7(C8○D4) = C24⋊C4⋊C2φ: C8○D4/C2×C8C2 ⊆ Aut C696C6.7(C8oD4)192,279
C6.8(C8○D4) = D6⋊C8⋊C2φ: C8○D4/C2×C8C2 ⊆ Aut C696C6.8(C8oD4)192,286
C6.9(C8○D4) = D62M4(2)φ: C8○D4/C2×C8C2 ⊆ Aut C696C6.9(C8oD4)192,287
C6.10(C8○D4) = Dic3⋊M4(2)φ: C8○D4/C2×C8C2 ⊆ Aut C696C6.10(C8oD4)192,288
C6.11(C8○D4) = C42.27D6φ: C8○D4/C2×C8C2 ⊆ Aut C6192C6.11(C8oD4)192,387
C6.12(C8○D4) = D63M4(2)φ: C8○D4/C2×C8C2 ⊆ Aut C696C6.12(C8oD4)192,395
C6.13(C8○D4) = C42.30D6φ: C8○D4/C2×C8C2 ⊆ Aut C696C6.13(C8oD4)192,398
C6.14(C8○D4) = C42.31D6φ: C8○D4/C2×C8C2 ⊆ Aut C696C6.14(C8oD4)192,399
C6.15(C8○D4) = C12.12C42φ: C8○D4/C2×C8C2 ⊆ Aut C696C6.15(C8oD4)192,660
C6.16(C8○D4) = Dic3⋊C8⋊C2φ: C8○D4/C2×C8C2 ⊆ Aut C696C6.16(C8oD4)192,661
C6.17(C8○D4) = C8×C3⋊D4φ: C8○D4/C2×C8C2 ⊆ Aut C696C6.17(C8oD4)192,668
C6.18(C8○D4) = (C22×C8)⋊7S3φ: C8○D4/C2×C8C2 ⊆ Aut C696C6.18(C8oD4)192,669
C6.19(C8○D4) = C2433D4φ: C8○D4/C2×C8C2 ⊆ Aut C696C6.19(C8oD4)192,670
C6.20(C8○D4) = C24⋊Q8φ: C8○D4/M4(2)C2 ⊆ Aut C6192C6.20(C8oD4)192,260
C6.21(C8○D4) = C89D12φ: C8○D4/M4(2)C2 ⊆ Aut C696C6.21(C8oD4)192,265
C6.22(C8○D4) = D6.4C42φ: C8○D4/M4(2)C2 ⊆ Aut C696C6.22(C8oD4)192,267
C6.23(C8○D4) = C42.185D6φ: C8○D4/M4(2)C2 ⊆ Aut C696C6.23(C8oD4)192,268
C6.24(C8○D4) = C3⋊D4⋊C8φ: C8○D4/M4(2)C2 ⊆ Aut C696C6.24(C8oD4)192,284
C6.25(C8○D4) = C3⋊C826D4φ: C8○D4/M4(2)C2 ⊆ Aut C696C6.25(C8oD4)192,289
C6.26(C8○D4) = Dic6⋊C8φ: C8○D4/M4(2)C2 ⊆ Aut C6192C6.26(C8oD4)192,389
C6.27(C8○D4) = C42.198D6φ: C8○D4/M4(2)C2 ⊆ Aut C6192C6.27(C8oD4)192,390
C6.28(C8○D4) = D12⋊C8φ: C8○D4/M4(2)C2 ⊆ Aut C696C6.28(C8oD4)192,393
C6.29(C8○D4) = C122M4(2)φ: C8○D4/M4(2)C2 ⊆ Aut C696C6.29(C8oD4)192,397
C6.30(C8○D4) = C12.88(C2×Q8)φ: C8○D4/M4(2)C2 ⊆ Aut C696C6.30(C8oD4)192,678
C6.31(C8○D4) = C12.7C42φ: C8○D4/M4(2)C2 ⊆ Aut C696C6.31(C8oD4)192,681
C6.32(C8○D4) = C24⋊D4φ: C8○D4/M4(2)C2 ⊆ Aut C696C6.32(C8oD4)192,686
C6.33(C8○D4) = C2421D4φ: C8○D4/M4(2)C2 ⊆ Aut C696C6.33(C8oD4)192,687
C6.34(C8○D4) = D6⋊C840C2φ: C8○D4/M4(2)C2 ⊆ Aut C696C6.34(C8oD4)192,688
C6.35(C8○D4) = C12.5C42φ: C8○D4/C4○D4C2 ⊆ Aut C696C6.35(C8oD4)192,556
C6.36(C8○D4) = C42.43D6φ: C8○D4/C4○D4C2 ⊆ Aut C696C6.36(C8oD4)192,558
C6.37(C8○D4) = C42.187D6φ: C8○D4/C4○D4C2 ⊆ Aut C696C6.37(C8oD4)192,559
C6.38(C8○D4) = D4×C3⋊C8φ: C8○D4/C4○D4C2 ⊆ Aut C696C6.38(C8oD4)192,569
C6.39(C8○D4) = C42.47D6φ: C8○D4/C4○D4C2 ⊆ Aut C696C6.39(C8oD4)192,570
C6.40(C8○D4) = C123M4(2)φ: C8○D4/C4○D4C2 ⊆ Aut C696C6.40(C8oD4)192,571
C6.41(C8○D4) = Q8×C3⋊C8φ: C8○D4/C4○D4C2 ⊆ Aut C6192C6.41(C8oD4)192,582
C6.42(C8○D4) = C42.210D6φ: C8○D4/C4○D4C2 ⊆ Aut C6192C6.42(C8oD4)192,583
C6.43(C8○D4) = (C6×D4).11C4φ: C8○D4/C4○D4C2 ⊆ Aut C696C6.43(C8oD4)192,793
C6.44(C8○D4) = C3×C82M4(2)central extension (φ=1)96C6.44(C8oD4)192,838
C6.45(C8○D4) = C3×(C22×C8)⋊C2central extension (φ=1)96C6.45(C8oD4)192,841
C6.46(C8○D4) = C3×C42.6C22central extension (φ=1)96C6.46(C8oD4)192,857
C6.47(C8○D4) = C3×C42.7C22central extension (φ=1)96C6.47(C8oD4)192,866
C6.48(C8○D4) = D4×C24central extension (φ=1)96C6.48(C8oD4)192,867
C6.49(C8○D4) = C3×C89D4central extension (φ=1)96C6.49(C8oD4)192,868
C6.50(C8○D4) = C3×C86D4central extension (φ=1)96C6.50(C8oD4)192,869
C6.51(C8○D4) = Q8×C24central extension (φ=1)192C6.51(C8oD4)192,878
C6.52(C8○D4) = C3×C84Q8central extension (φ=1)192C6.52(C8oD4)192,879

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