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Extensions 1→N→G→Q→1 with N=C22 and Q=Dic3⋊C4

Direct product G=N×Q with N=C22 and Q=Dic3⋊C4
dρLabelID
C22×Dic3⋊C4192C2^2xDic3:C4192,1342

Semidirect products G=N:Q with N=C22 and Q=Dic3⋊C4
extensionφ:Q→Aut NdρLabelID
C22⋊(Dic3⋊C4) = C24.3D6φ: Dic3⋊C4/C2×C4 → S3 ⊆ Aut C2248C2^2:(Dic3:C4)192,970
C22⋊2(Dic3⋊C4) = C24.55D6φ: Dic3⋊C4/C2×Dic3 → C2 ⊆ Aut C2296C2^2:2(Dic3:C4)192,501
C22⋊3(Dic3⋊C4) = C24.57D6φ: Dic3⋊C4/C2×Dic3 → C2 ⊆ Aut C2296C2^2:3(Dic3:C4)192,505
C22⋊4(Dic3⋊C4) = C24.73D6φ: Dic3⋊C4/C2×C12 → C2 ⊆ Aut C2296C2^2:4(Dic3:C4)192,769

Non-split extensions G=N.Q with N=C22 and Q=Dic3⋊C4
extensionφ:Q→Aut NdρLabelID
C22.1(Dic3⋊C4) = C24.12D6φ: Dic3⋊C4/C2×Dic3 → C2 ⊆ Aut C2248C2^2.1(Dic3:C4)192,85
C22.2(Dic3⋊C4) = C24.13D6φ: Dic3⋊C4/C2×Dic3 → C2 ⊆ Aut C2248C2^2.2(Dic3:C4)192,86
C22.3(Dic3⋊C4) = C42⋊3Dic3φ: Dic3⋊C4/C2×Dic3 → C2 ⊆ Aut C22484C2^2.3(Dic3:C4)192,90
C22.4(Dic3⋊C4) = C12.2C42φ: Dic3⋊C4/C2×Dic3 → C2 ⊆ Aut C2248C2^2.4(Dic3:C4)192,91
C22.5(Dic3⋊C4) = M4(2)⋊Dic3φ: Dic3⋊C4/C2×Dic3 → C2 ⊆ Aut C2296C2^2.5(Dic3:C4)192,113
C22.6(Dic3⋊C4) = (C2×C24)⋊C4φ: Dic3⋊C4/C2×Dic3 → C2 ⊆ Aut C22484C2^2.6(Dic3:C4)192,115
C22.7(Dic3⋊C4) = C12.21C42φ: Dic3⋊C4/C2×Dic3 → C2 ⊆ Aut C22484C2^2.7(Dic3:C4)192,119
C22.8(Dic3⋊C4) = C4⋊C4.232D6φ: Dic3⋊C4/C2×Dic3 → C2 ⊆ Aut C2296C2^2.8(Dic3:C4)192,554
C22.9(Dic3⋊C4) = C4⋊C4.234D6φ: Dic3⋊C4/C2×Dic3 → C2 ⊆ Aut C2296C2^2.9(Dic3:C4)192,557
C22.10(Dic3⋊C4) = Dic3⋊4M4(2)φ: Dic3⋊C4/C2×Dic3 → C2 ⊆ Aut C2296C2^2.10(Dic3:C4)192,677
C22.11(Dic3⋊C4) = C12.88(C2×Q8)φ: Dic3⋊C4/C2×Dic3 → C2 ⊆ Aut C2296C2^2.11(Dic3:C4)192,678
C22.12(Dic3⋊C4) = C12.8C42φ: Dic3⋊C4/C2×C12 → C2 ⊆ Aut C2248C2^2.12(Dic3:C4)192,82
C22.13(Dic3⋊C4) = C12.10C42φ: Dic3⋊C4/C2×C12 → C2 ⊆ Aut C2296C2^2.13(Dic3:C4)192,111
C22.14(Dic3⋊C4) = M4(2)⋊4Dic3φ: Dic3⋊C4/C2×C12 → C2 ⊆ Aut C22484C2^2.14(Dic3:C4)192,118
C22.15(Dic3⋊C4) = C4⋊C4.225D6φ: Dic3⋊C4/C2×C12 → C2 ⊆ Aut C2296C2^2.15(Dic3:C4)192,523
C22.16(Dic3⋊C4) = Dic3⋊C8⋊C2φ: Dic3⋊C4/C2×C12 → C2 ⊆ Aut C2296C2^2.16(Dic3:C4)192,661
C22.17(Dic3⋊C4) = C23.8Dic6φ: Dic3⋊C4/C2×C12 → C2 ⊆ Aut C22484C2^2.17(Dic3:C4)192,683
C22.18(Dic3⋊C4) = C12.53D8central extension (φ=1)192C2^2.18(Dic3:C4)192,38
C22.19(Dic3⋊C4) = C12.39SD16central extension (φ=1)192C2^2.19(Dic3:C4)192,39
C22.20(Dic3⋊C4) = C12.C42central extension (φ=1)192C2^2.20(Dic3:C4)192,88
C22.21(Dic3⋊C4) = (C2×C24)⋊5C4central extension (φ=1)192C2^2.21(Dic3:C4)192,109
C22.22(Dic3⋊C4) = C12.4C42central extension (φ=1)96C2^2.22(Dic3:C4)192,117
C22.23(Dic3⋊C4) = C2×C6.Q16central extension (φ=1)192C2^2.23(Dic3:C4)192,521
C22.24(Dic3⋊C4) = C2×C12.Q8central extension (φ=1)192C2^2.24(Dic3:C4)192,522
C22.25(Dic3⋊C4) = C2×Dic3⋊C8central extension (φ=1)192C2^2.25(Dic3:C4)192,658
C22.26(Dic3⋊C4) = C2×C12.53D4central extension (φ=1)96C2^2.26(Dic3:C4)192,682
C22.27(Dic3⋊C4) = C2×C6.C42central extension (φ=1)192C2^2.27(Dic3:C4)192,767

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