Extensions 1→N→G→Q→1 with N=C12 and Q=C32:C4

Direct product G=NxQ with N=C12 and Q=C32:C4
dρLabelID
C12xC32:C4484C12xC3^2:C4432,630

Semidirect products G=N:Q with N=C12 and Q=C32:C4
extensionφ:Q→Aut NdρLabelID
C12:1(C32:C4) = C33:9(C4:C4)φ: C32:C4/C3:S3C2 ⊆ Aut C12484C12:1(C3^2:C4)432,638
C12:2(C32:C4) = C4xC33:C4φ: C32:C4/C3:S3C2 ⊆ Aut C12484C12:2(C3^2:C4)432,637
C12:3(C32:C4) = C3xC4:(C32:C4)φ: C32:C4/C3:S3C2 ⊆ Aut C12484C12:3(C3^2:C4)432,631

Non-split extensions G=N.Q with N=C12 and Q=C32:C4
extensionφ:Q→Aut NdρLabelID
C12.1(C32:C4) = C33:4M4(2)φ: C32:C4/C3:S3C2 ⊆ Aut C12484C12.1(C3^2:C4)432,636
C12.2(C32:C4) = C33:4C16φ: C32:C4/C3:S3C2 ⊆ Aut C12484C12.2(C3^2:C4)432,413
C12.3(C32:C4) = C33:7(C2xC8)φ: C32:C4/C3:S3C2 ⊆ Aut C12484C12.3(C3^2:C4)432,635
C12.4(C32:C4) = He3:1M4(2)φ: C32:C4/C3:S3C2 ⊆ Aut C12726C12.4(C3^2:C4)432,274
C12.5(C32:C4) = C4:(He3:C4)φ: C32:C4/C3:S3C2 ⊆ Aut C12726C12.5(C3^2:C4)432,276
C12.6(C32:C4) = C3xC32:M4(2)φ: C32:C4/C3:S3C2 ⊆ Aut C12484C12.6(C3^2:C4)432,629
C12.7(C32:C4) = He3:2C16central extension (φ=1)1443C12.7(C3^2:C4)432,57
C12.8(C32:C4) = He3:2(C2xC8)central extension (φ=1)723C12.8(C3^2:C4)432,273
C12.9(C32:C4) = C4xHe3:C4central extension (φ=1)723C12.9(C3^2:C4)432,275
C12.10(C32:C4) = C3xC32:2C16central extension (φ=1)484C12.10(C3^2:C4)432,412
C12.11(C32:C4) = C3xC3:S3:3C8central extension (φ=1)484C12.11(C3^2:C4)432,628

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