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Extensions 1→N→G→Q→1 with N=C22 and Q=C3xC4:C4

Direct product G=NxQ with N=C22 and Q=C3xC4:C4
dρLabelID
C2xC6xC4:C4192C2xC6xC4:C4192,1402

Semidirect products G=N:Q with N=C22 and Q=C3xC4:C4
extensionφ:Q→Aut NdρLabelID
C22:(C3xC4:C4) = A4xC4:C4φ: C3xC4:C4/C4:C4 → C3 ⊆ Aut C2248C2^2:(C3xC4:C4)192,995
C22:2(C3xC4:C4) = C3xC23.7Q8φ: C3xC4:C4/C2xC12 → C2 ⊆ Aut C2296C2^2:2(C3xC4:C4)192,813
C22:3(C3xC4:C4) = C3xC23.8Q8φ: C3xC4:C4/C2xC12 → C2 ⊆ Aut C2296C2^2:3(C3xC4:C4)192,818

Non-split extensions G=N.Q with N=C22 and Q=C3xC4:C4
extensionφ:Q→Aut NdρLabelID
C22.1(C3xC4:C4) = C3xC4.9C42φ: C3xC4:C4/C2xC12 → C2 ⊆ Aut C22484C2^2.1(C3xC4:C4)192,143
C22.2(C3xC4:C4) = C3xC4.10C42φ: C3xC4:C4/C2xC12 → C2 ⊆ Aut C22484C2^2.2(C3xC4:C4)192,144
C22.3(C3xC4:C4) = C3xC42:6C4φ: C3xC4:C4/C2xC12 → C2 ⊆ Aut C2248C2^2.3(C3xC4:C4)192,145
C22.4(C3xC4:C4) = C3xC23.9D4φ: C3xC4:C4/C2xC12 → C2 ⊆ Aut C2248C2^2.4(C3xC4:C4)192,148
C22.5(C3xC4:C4) = C3xC22.C42φ: C3xC4:C4/C2xC12 → C2 ⊆ Aut C2296C2^2.5(C3xC4:C4)192,149
C22.6(C3xC4:C4) = C3xM4(2):4C4φ: C3xC4:C4/C2xC12 → C2 ⊆ Aut C22484C2^2.6(C3xC4:C4)192,150
C22.7(C3xC4:C4) = C3xC4:M4(2)φ: C3xC4:C4/C2xC12 → C2 ⊆ Aut C2296C2^2.7(C3xC4:C4)192,856
C22.8(C3xC4:C4) = C3xC42.6C22φ: C3xC4:C4/C2xC12 → C2 ⊆ Aut C2296C2^2.8(C3xC4:C4)192,857
C22.9(C3xC4:C4) = C3xC23.25D4φ: C3xC4:C4/C2xC12 → C2 ⊆ Aut C2296C2^2.9(C3xC4:C4)192,860
C22.10(C3xC4:C4) = C3xM4(2):C4φ: C3xC4:C4/C2xC12 → C2 ⊆ Aut C2296C2^2.10(C3xC4:C4)192,861
C22.11(C3xC4:C4) = C6xC8.C4φ: C3xC4:C4/C2xC12 → C2 ⊆ Aut C2296C2^2.11(C3xC4:C4)192,862
C22.12(C3xC4:C4) = C3xM4(2).C4φ: C3xC4:C4/C2xC12 → C2 ⊆ Aut C22484C2^2.12(C3xC4:C4)192,863
C22.13(C3xC4:C4) = C3xC8:2C8central extension (φ=1)192C2^2.13(C3xC4:C4)192,140
C22.14(C3xC4:C4) = C3xC8:1C8central extension (φ=1)192C2^2.14(C3xC4:C4)192,141
C22.15(C3xC4:C4) = C3xC22.7C42central extension (φ=1)192C2^2.15(C3xC4:C4)192,142
C22.16(C3xC4:C4) = C3xC22.4Q16central extension (φ=1)192C2^2.16(C3xC4:C4)192,146
C22.17(C3xC4:C4) = C3xC4.C42central extension (φ=1)96C2^2.17(C3xC4:C4)192,147
C22.18(C3xC4:C4) = C6xC2.C42central extension (φ=1)192C2^2.18(C3xC4:C4)192,808
C22.19(C3xC4:C4) = C6xC4:C8central extension (φ=1)192C2^2.19(C3xC4:C4)192,855
C22.20(C3xC4:C4) = C6xC4.Q8central extension (φ=1)192C2^2.20(C3xC4:C4)192,858
C22.21(C3xC4:C4) = C6xC2.D8central extension (φ=1)192C2^2.21(C3xC4:C4)192,859

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