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Extensions 1→N→G→Q→1 with N=C6 and Q=C42.C2

Direct product G=N×Q with N=C6 and Q=C42.C2
dρLabelID
C6×C42.C2192C6xC4^2.C2192,1416

Semidirect products G=N:Q with N=C6 and Q=C42.C2
extensionφ:Q→Aut NdρLabelID
C6⋊1(C42.C2) = C2×C12.6Q8φ: C42.C2/C42 → C2 ⊆ Aut C6192C6:1(C4^2.C2)192,1028
C6⋊2(C42.C2) = C2×Dic3.Q8φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C6192C6:2(C4^2.C2)192,1057
C6⋊3(C42.C2) = C2×C4.Dic6φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C6192C6:3(C4^2.C2)192,1058

Non-split extensions G=N.Q with N=C6 and Q=C42.C2
extensionφ:Q→Aut NdρLabelID
C6.1(C42.C2) = (C2×C4).Dic6φ: C42.C2/C42 → C2 ⊆ Aut C6192C6.1(C4^2.C2)192,219
C6.2(C42.C2) = C12⋊4(C4⋊C4)φ: C42.C2/C42 → C2 ⊆ Aut C6192C6.2(C4^2.C2)192,487
C6.3(C42.C2) = (C2×C42).6S3φ: C42.C2/C42 → C2 ⊆ Aut C6192C6.3(C4^2.C2)192,492
C6.4(C42.C2) = C42⋊11Dic3φ: C42.C2/C42 → C2 ⊆ Aut C6192C6.4(C4^2.C2)192,495
C6.5(C42.C2) = C6.(C4×Q8)φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C6192C6.5(C4^2.C2)192,206
C6.6(C42.C2) = C3⋊(C42⋊8C4)φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C6192C6.6(C4^2.C2)192,209
C6.7(C42.C2) = C6.(C4×D4)φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C6192C6.7(C4^2.C2)192,211
C6.8(C42.C2) = C2.(C4×D12)φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C6192C6.8(C4^2.C2)192,212
C6.9(C42.C2) = C2.(C4×Dic6)φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C6192C6.9(C4^2.C2)192,213
C6.10(C42.C2) = Dic3⋊C4⋊C4φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C6192C6.10(C4^2.C2)192,214
C6.11(C42.C2) = C6.(C4⋊Q8)φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C6192C6.11(C4^2.C2)192,216
C6.12(C42.C2) = (C2×Dic3).9D4φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C6192C6.12(C4^2.C2)192,217
C6.13(C42.C2) = (C2×C4).17D12φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C6192C6.13(C4^2.C2)192,218
C6.14(C42.C2) = (C22×C4).85D6φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C6192C6.14(C4^2.C2)192,220
C6.15(C42.C2) = C12⋊(C4⋊C4)φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C6192C6.15(C4^2.C2)192,531
C6.16(C42.C2) = Dic3⋊(C4⋊C4)φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C6192C6.16(C4^2.C2)192,535
C6.17(C42.C2) = (C4×Dic3)⋊9C4φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C6192C6.17(C4^2.C2)192,536
C6.18(C42.C2) = C6.67(C4×D4)φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C6192C6.18(C4^2.C2)192,537
C6.19(C42.C2) = C4⋊C4⋊5Dic3φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C6192C6.19(C4^2.C2)192,539
C6.20(C42.C2) = (C2×C4).44D12φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C6192C6.20(C4^2.C2)192,540
C6.21(C42.C2) = (C2×C12).54D4φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C6192C6.21(C4^2.C2)192,541
C6.22(C42.C2) = (C2×Dic3).Q8φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C6192C6.22(C4^2.C2)192,542
C6.23(C42.C2) = C4⋊C4⋊6Dic3φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C6192C6.23(C4^2.C2)192,543
C6.24(C42.C2) = (C2×C12).288D4φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C6192C6.24(C4^2.C2)192,544
C6.25(C42.C2) = (C2×C12).55D4φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C6192C6.25(C4^2.C2)192,545
C6.26(C42.C2) = C3×C42⋊8C4central extension (φ=1)192C6.26(C4^2.C2)192,815
C6.27(C42.C2) = C3×C23.63C23central extension (φ=1)192C6.27(C4^2.C2)192,820
C6.28(C42.C2) = C3×C23.65C23central extension (φ=1)192C6.28(C4^2.C2)192,822
C6.29(C42.C2) = C3×C23.81C23central extension (φ=1)192C6.29(C4^2.C2)192,831
C6.30(C42.C2) = C3×C23.83C23central extension (φ=1)192C6.30(C4^2.C2)192,833

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