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

Direct product G=N×Q with N=C22 and Q=C4⋊Dic3
dρLabelID
C22×C4⋊Dic3192C2^2xC4:Dic3192,1344

Semidirect products G=N:Q with N=C22 and Q=C4⋊Dic3
extensionφ:Q→Aut NdρLabelID
C22⋊(C4⋊Dic3) = C24.4D6φ: C4⋊Dic3/C2×C4 → S3 ⊆ Aut C2248C2^2:(C4:Dic3)192,971
C22⋊2(C4⋊Dic3) = C24.58D6φ: C4⋊Dic3/C2×Dic3 → C2 ⊆ Aut C2296C2^2:2(C4:Dic3)192,509
C22⋊3(C4⋊Dic3) = C24.75D6φ: C4⋊Dic3/C2×C12 → C2 ⊆ Aut C2296C2^2:3(C4:Dic3)192,771

Non-split extensions G=N.Q with N=C22 and Q=C4⋊Dic3
extensionφ:Q→Aut NdρLabelID
C22.1(C4⋊Dic3) = C24.13D6φ: C4⋊Dic3/C2×Dic3 → C2 ⊆ Aut C2248C2^2.1(C4:Dic3)192,86
C22.2(C4⋊Dic3) = (C2×C12).Q8φ: C4⋊Dic3/C2×Dic3 → C2 ⊆ Aut C22484C2^2.2(C4:Dic3)192,92
C22.3(C4⋊Dic3) = C12.3C42φ: C4⋊Dic3/C2×Dic3 → C2 ⊆ Aut C2248C2^2.3(C4:Dic3)192,114
C22.4(C4⋊Dic3) = C12.4C42φ: C4⋊Dic3/C2×Dic3 → C2 ⊆ Aut C2296C2^2.4(C4:Dic3)192,117
C22.5(C4⋊Dic3) = C42.43D6φ: C4⋊Dic3/C2×Dic3 → C2 ⊆ Aut C2296C2^2.5(C4:Dic3)192,558
C22.6(C4⋊Dic3) = C23.52D12φ: C4⋊Dic3/C2×Dic3 → C2 ⊆ Aut C2296C2^2.6(C4:Dic3)192,680
C22.7(C4⋊Dic3) = C23.9Dic6φ: C4⋊Dic3/C2×Dic3 → C2 ⊆ Aut C22484C2^2.7(C4:Dic3)192,684
C22.8(C4⋊Dic3) = C24.12D6φ: C4⋊Dic3/C2×C12 → C2 ⊆ Aut C2248C2^2.8(C4:Dic3)192,85
C22.9(C4⋊Dic3) = C12.(C4⋊C4)φ: C4⋊Dic3/C2×C12 → C2 ⊆ Aut C2296C2^2.9(C4:Dic3)192,89
C22.10(C4⋊Dic3) = C12.20C42φ: C4⋊Dic3/C2×C12 → C2 ⊆ Aut C22484C2^2.10(C4:Dic3)192,116
C22.11(C4⋊Dic3) = C12.21C42φ: C4⋊Dic3/C2×C12 → C2 ⊆ Aut C22484C2^2.11(C4:Dic3)192,119
C22.12(C4⋊Dic3) = C12⋊7M4(2)φ: C4⋊Dic3/C2×C12 → C2 ⊆ Aut C2296C2^2.12(C4:Dic3)192,483
C22.13(C4⋊Dic3) = C23.27D12φ: C4⋊Dic3/C2×C12 → C2 ⊆ Aut C2296C2^2.13(C4:Dic3)192,665
C22.14(C4⋊Dic3) = C2×C24.C4φ: C4⋊Dic3/C2×C12 → C2 ⊆ Aut C2296C2^2.14(C4:Dic3)192,666
C22.15(C4⋊Dic3) = C24⋊2C8central extension (φ=1)192C2^2.15(C4:Dic3)192,16
C22.16(C4⋊Dic3) = C24⋊1C8central extension (φ=1)192C2^2.16(C4:Dic3)192,17
C22.17(C4⋊Dic3) = (C2×C12)⋊3C8central extension (φ=1)192C2^2.17(C4:Dic3)192,83
C22.18(C4⋊Dic3) = C12.9C42central extension (φ=1)192C2^2.18(C4:Dic3)192,110
C22.19(C4⋊Dic3) = C12.10C42central extension (φ=1)96C2^2.19(C4:Dic3)192,111
C22.20(C4⋊Dic3) = C2×C12⋊C8central extension (φ=1)192C2^2.20(C4:Dic3)192,482
C22.21(C4⋊Dic3) = C2×C8⋊Dic3central extension (φ=1)192C2^2.21(C4:Dic3)192,663
C22.22(C4⋊Dic3) = C2×C24⋊1C4central extension (φ=1)192C2^2.22(C4:Dic3)192,664
C22.23(C4⋊Dic3) = C2×C6.C42central extension (φ=1)192C2^2.23(C4:Dic3)192,767

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