Extensions 1→N→G→Q→1 with N=C3 and Q=C2×C32⋊2Q8

Direct product G=N×Q with N=C3 and Q=C2×C32⋊2Q8
dρLabelID
C6×C32⋊2Q848C6xC3^2:2Q8432,657

Semidirect products G=N:Q with N=C3 and Q=C2×C32⋊2Q8
extensionφ:Q→Aut NdρLabelID
C3⋊1(C2×C32⋊2Q8) = S3×C32⋊2Q8φ: C2×C32⋊2Q8/C32⋊2Q8 → C2 ⊆ Aut C3488-C3:1(C2xC3^2:2Q8)432,603
C3⋊2(C2×C32⋊2Q8) = C2×C33⋊4Q8φ: C2×C32⋊2Q8/C6×Dic3 → C2 ⊆ Aut C3144C3:2(C2xC3^2:2Q8)432,683
C3⋊3(C2×C32⋊2Q8) = C2×C33⋊5Q8φ: C2×C32⋊2Q8/C2×C3⋊Dic3 → C2 ⊆ Aut C348C3:3(C2xC3^2:2Q8)432,695

Non-split extensions G=N.Q with N=C3 and Q=C2×C32⋊2Q8
extensionφ:Q→Aut NdρLabelID
C3.1(C2×C32⋊2Q8) = C2×C9⋊Dic6φ: C2×C32⋊2Q8/C6×Dic3 → C2 ⊆ Aut C3144C3.1(C2xC3^2:2Q8)432,303
C3.2(C2×C32⋊2Q8) = C2×He3⋊2Q8φ: C2×C32⋊2Q8/C2×C3⋊Dic3 → C2 ⊆ Aut C3144C3.2(C2xC3^2:2Q8)432,316

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