Extensions 1→N→G→Q→1 with N=C3 and Q=C2×C6.D6

Direct product G=N×Q with N=C3 and Q=C2×C6.D6
dρLabelID
C6×C6.D648C6xC6.D6432,654

Semidirect products G=N:Q with N=C3 and Q=C2×C6.D6
extensionφ:Q→Aut NdρLabelID
C31(C2×C6.D6) = S3×C6.D6φ: C2×C6.D6/C6.D6C2 ⊆ Aut C3248+C3:1(C2xC6.D6)432,595
C32(C2×C6.D6) = C2×C338(C2×C4)φ: C2×C6.D6/C6×Dic3C2 ⊆ Aut C372C3:2(C2xC6.D6)432,679
C33(C2×C6.D6) = C2×C339(C2×C4)φ: C2×C6.D6/C22×C3⋊S3C2 ⊆ Aut C348C3:3(C2xC6.D6)432,692

Non-split extensions G=N.Q with N=C3 and Q=C2×C6.D6
extensionφ:Q→Aut NdρLabelID
C3.1(C2×C6.D6) = C2×C18.D6φ: C2×C6.D6/C6×Dic3C2 ⊆ Aut C372C3.1(C2xC6.D6)432,306
C3.2(C2×C6.D6) = C2×He3⋊(C2×C4)φ: C2×C6.D6/C22×C3⋊S3C2 ⊆ Aut C372C3.2(C2xC6.D6)432,321

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