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Extensions 1→N→G→Q→1 with N=C4 and Q=Dic3⋊C4

Direct product G=N×Q with N=C4 and Q=Dic3⋊C4
dρLabelID
C4×Dic3⋊C4192C4xDic3:C4192,490

Semidirect products G=N:Q with N=C4 and Q=Dic3⋊C4
extensionφ:Q→Aut NdρLabelID
C4⋊1(Dic3⋊C4) = C12⋊(C4⋊C4)φ: Dic3⋊C4/C2×Dic3 → C2 ⊆ Aut C4192C4:1(Dic3:C4)192,531
C4⋊2(Dic3⋊C4) = (C4×Dic3)⋊8C4φ: Dic3⋊C4/C2×Dic3 → C2 ⊆ Aut C4192C4:2(Dic3:C4)192,534
C4⋊3(Dic3⋊C4) = C12⋊4(C4⋊C4)φ: Dic3⋊C4/C2×C12 → C2 ⊆ Aut C4192C4:3(Dic3:C4)192,487

Non-split extensions G=N.Q with N=C4 and Q=Dic3⋊C4
extensionφ:Q→Aut NdρLabelID
C4.1(Dic3⋊C4) = C8.Dic6φ: Dic3⋊C4/C2×Dic3 → C2 ⊆ Aut C4484C4.1(Dic3:C4)192,46
C4.2(Dic3⋊C4) = C6.6D16φ: Dic3⋊C4/C2×Dic3 → C2 ⊆ Aut C4192C4.2(Dic3:C4)192,48
C4.3(Dic3⋊C4) = C6.SD32φ: Dic3⋊C4/C2×Dic3 → C2 ⊆ Aut C4192C4.3(Dic3:C4)192,49
C4.4(Dic3⋊C4) = C24.7Q8φ: Dic3⋊C4/C2×Dic3 → C2 ⊆ Aut C4964C4.4(Dic3:C4)192,52
C4.5(Dic3⋊C4) = C24.6Q8φ: Dic3⋊C4/C2×Dic3 → C2 ⊆ Aut C4484C4.5(Dic3:C4)192,53
C4.6(Dic3⋊C4) = C12.C42φ: Dic3⋊C4/C2×Dic3 → C2 ⊆ Aut C4192C4.6(Dic3:C4)192,88
C4.7(Dic3⋊C4) = C12.(C4⋊C4)φ: Dic3⋊C4/C2×Dic3 → C2 ⊆ Aut C496C4.7(Dic3:C4)192,89
C4.8(Dic3⋊C4) = C42⋊3Dic3φ: Dic3⋊C4/C2×Dic3 → C2 ⊆ Aut C4484C4.8(Dic3:C4)192,90
C4.9(Dic3⋊C4) = (C2×C12).Q8φ: Dic3⋊C4/C2×Dic3 → C2 ⊆ Aut C4484C4.9(Dic3:C4)192,92
C4.10(Dic3⋊C4) = C12.3C42φ: Dic3⋊C4/C2×Dic3 → C2 ⊆ Aut C448C4.10(Dic3:C4)192,114
C4.11(Dic3⋊C4) = (C2×C24)⋊C4φ: Dic3⋊C4/C2×Dic3 → C2 ⊆ Aut C4484C4.11(Dic3:C4)192,115
C4.12(Dic3⋊C4) = C12.20C42φ: Dic3⋊C4/C2×Dic3 → C2 ⊆ Aut C4484C4.12(Dic3:C4)192,116
C4.13(Dic3⋊C4) = M4(2)⋊4Dic3φ: Dic3⋊C4/C2×Dic3 → C2 ⊆ Aut C4484C4.13(Dic3:C4)192,118
C4.14(Dic3⋊C4) = C2×C6.Q16φ: Dic3⋊C4/C2×Dic3 → C2 ⊆ Aut C4192C4.14(Dic3:C4)192,521
C4.15(Dic3⋊C4) = C2×C12.Q8φ: Dic3⋊C4/C2×Dic3 → C2 ⊆ Aut C4192C4.15(Dic3:C4)192,522
C4.16(Dic3⋊C4) = C4⋊C4.225D6φ: Dic3⋊C4/C2×Dic3 → C2 ⊆ Aut C496C4.16(Dic3:C4)192,523
C4.17(Dic3⋊C4) = (C4×Dic3)⋊9C4φ: Dic3⋊C4/C2×Dic3 → C2 ⊆ Aut C4192C4.17(Dic3:C4)192,536
C4.18(Dic3⋊C4) = Dic3⋊4M4(2)φ: Dic3⋊C4/C2×Dic3 → C2 ⊆ Aut C496C4.18(Dic3:C4)192,677
C4.19(Dic3⋊C4) = C12.88(C2×Q8)φ: Dic3⋊C4/C2×Dic3 → C2 ⊆ Aut C496C4.19(Dic3:C4)192,678
C4.20(Dic3⋊C4) = C2×C12.53D4φ: Dic3⋊C4/C2×Dic3 → C2 ⊆ Aut C496C4.20(Dic3:C4)192,682
C4.21(Dic3⋊C4) = C23.8Dic6φ: Dic3⋊C4/C2×Dic3 → C2 ⊆ Aut C4484C4.21(Dic3:C4)192,683
C4.22(Dic3⋊C4) = C12.8C42φ: Dic3⋊C4/C2×C12 → C2 ⊆ Aut C448C4.22(Dic3:C4)192,82
C4.23(Dic3⋊C4) = C12.9C42φ: Dic3⋊C4/C2×C12 → C2 ⊆ Aut C4192C4.23(Dic3:C4)192,110
C4.24(Dic3⋊C4) = M4(2)⋊Dic3φ: Dic3⋊C4/C2×C12 → C2 ⊆ Aut C496C4.24(Dic3:C4)192,113
C4.25(Dic3⋊C4) = C4⋊C4.232D6φ: Dic3⋊C4/C2×C12 → C2 ⊆ Aut C496C4.25(Dic3:C4)192,554
C4.26(Dic3⋊C4) = Dic3⋊C8⋊C2φ: Dic3⋊C4/C2×C12 → C2 ⊆ Aut C496C4.26(Dic3:C4)192,661
C4.27(Dic3⋊C4) = Dic3⋊C16central extension (φ=1)192C4.27(Dic3:C4)192,60
C4.28(Dic3⋊C4) = C24.97D4central extension (φ=1)484C4.28(Dic3:C4)192,70
C4.29(Dic3⋊C4) = (C2×C12)⋊3C8central extension (φ=1)192C4.29(Dic3:C4)192,83
C4.30(Dic3⋊C4) = C12.2C42central extension (φ=1)48C4.30(Dic3:C4)192,91
C4.31(Dic3⋊C4) = (C2×C24)⋊5C4central extension (φ=1)192C4.31(Dic3:C4)192,109
C4.32(Dic3⋊C4) = C4⋊C4.234D6central extension (φ=1)96C4.32(Dic3:C4)192,557
C4.33(Dic3⋊C4) = C2×Dic3⋊C8central extension (φ=1)192C4.33(Dic3:C4)192,658

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