Extensions 1→N→G→Q→1 with N=C22 and Q=C2xC32:C4

Direct product G=NxQ with N=C22 and Q=C2xC32:C4
dρLabelID
C23xC32:C448C2^3xC3^2:C4288,1039

Semidirect products G=N:Q with N=C22 and Q=C2xC32:C4
extensionφ:Q→Aut NdρLabelID
C22:1(C2xC32:C4) = D4xC32:C4φ: C2xC32:C4/C32:C4C2 ⊆ Aut C22248+C2^2:1(C2xC3^2:C4)288,936
C22:2(C2xC32:C4) = C2xC62:C4φ: C2xC32:C4/C2xC3:S3C2 ⊆ Aut C2224C2^2:2(C2xC3^2:C4)288,941

Non-split extensions G=N.Q with N=C22 and Q=C2xC32:C4
extensionφ:Q→Aut NdρLabelID
C22.1(C2xC32:C4) = C62.(C2xC4)φ: C2xC32:C4/C32:C4C2 ⊆ Aut C22488-C2^2.1(C2xC3^2:C4)288,935
C22.2(C2xC32:C4) = (C6xC12):C4φ: C2xC32:C4/C2xC3:S3C2 ⊆ Aut C22244+C2^2.2(C2xC3^2:C4)288,422
C22.3(C2xC32:C4) = C3:Dic3.D4φ: C2xC32:C4/C2xC3:S3C2 ⊆ Aut C22484-C2^2.3(C2xC3^2:C4)288,428
C22.4(C2xC32:C4) = (C2xC62):C4φ: C2xC32:C4/C2xC3:S3C2 ⊆ Aut C22244C2^2.4(C2xC3^2:C4)288,434
C22.5(C2xC32:C4) = (C2xC62).C4φ: C2xC32:C4/C2xC3:S3C2 ⊆ Aut C22244C2^2.5(C2xC3^2:C4)288,436
C22.6(C2xC32:C4) = C3:S3:M4(2)φ: C2xC32:C4/C2xC3:S3C2 ⊆ Aut C22244C2^2.6(C2xC3^2:C4)288,931
C22.7(C2xC32:C4) = (C6xC12):5C4φ: C2xC32:C4/C2xC3:S3C2 ⊆ Aut C22244C2^2.7(C2xC3^2:C4)288,934
C22.8(C2xC32:C4) = C4xC32:2C8central extension (φ=1)96C2^2.8(C2xC3^2:C4)288,423
C22.9(C2xC32:C4) = (C3xC12):4C8central extension (φ=1)96C2^2.9(C2xC3^2:C4)288,424
C22.10(C2xC32:C4) = C32:2C8:C4central extension (φ=1)96C2^2.10(C2xC3^2:C4)288,425
C22.11(C2xC32:C4) = C62.6(C2xC4)central extension (φ=1)48C2^2.11(C2xC3^2:C4)288,426
C22.12(C2xC32:C4) = C32:5(C4:C8)central extension (φ=1)96C2^2.12(C2xC3^2:C4)288,427
C22.13(C2xC32:C4) = (C6xC12):2C4central extension (φ=1)48C2^2.13(C2xC3^2:C4)288,429
C22.14(C2xC32:C4) = C62:3C8central extension (φ=1)48C2^2.14(C2xC3^2:C4)288,435
C22.15(C2xC32:C4) = C2xC3:S3:3C8central extension (φ=1)48C2^2.15(C2xC3^2:C4)288,929
C22.16(C2xC32:C4) = C2xC32:M4(2)central extension (φ=1)48C2^2.16(C2xC3^2:C4)288,930
C22.17(C2xC32:C4) = C2xC4xC32:C4central extension (φ=1)48C2^2.17(C2xC3^2:C4)288,932
C22.18(C2xC32:C4) = C2xC4:(C32:C4)central extension (φ=1)48C2^2.18(C2xC3^2:C4)288,933
C22.19(C2xC32:C4) = C22xC32:2C8central extension (φ=1)96C2^2.19(C2xC3^2:C4)288,939
C22.20(C2xC32:C4) = C2xC62.C4central extension (φ=1)48C2^2.20(C2xC3^2:C4)288,940

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