Extensions 1→N→G→Q→1 with N=C3 and Q=C2×C4×Dic3

Direct product G=N×Q with N=C3 and Q=C2×C4×Dic3
dρLabelID
Dic3×C2×C1296Dic3xC2xC12288,693

Semidirect products G=N:Q with N=C3 and Q=C2×C4×Dic3
extensionφ:Q→Aut NdρLabelID
C31(C2×C4×Dic3) = C4×S3×Dic3φ: C2×C4×Dic3/C4×Dic3C2 ⊆ Aut C396C3:1(C2xC4xDic3)288,523
C32(C2×C4×Dic3) = C2×Dic32φ: C2×C4×Dic3/C22×Dic3C2 ⊆ Aut C396C3:2(C2xC4xDic3)288,602
C33(C2×C4×Dic3) = C2×C4×C3⋊Dic3φ: C2×C4×Dic3/C22×C12C2 ⊆ Aut C3288C3:3(C2xC4xDic3)288,779

Non-split extensions G=N.Q with N=C3 and Q=C2×C4×Dic3
extensionφ:Q→Aut NdρLabelID
C3.(C2×C4×Dic3) = C2×C4×Dic9φ: C2×C4×Dic3/C22×C12C2 ⊆ Aut C3288C3.(C2xC4xDic3)288,132

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