Extensions 1→N→G→Q→1 with N=C3 and Q=C2×C3⋊C8

Direct product G=N×Q with N=C3 and Q=C2×C3⋊C8
dρLabelID
C6×C3⋊C848C6xC3:C8144,74

Semidirect products G=N:Q with N=C3 and Q=C2×C3⋊C8
extensionφ:Q→Aut NdρLabelID
C3⋊1(C2×C3⋊C8) = S3×C3⋊C8φ: C2×C3⋊C8/C3⋊C8 → C2 ⊆ Aut C3484C3:1(C2xC3:C8)144,52
C3⋊2(C2×C3⋊C8) = C2×C32⋊4C8φ: C2×C3⋊C8/C2×C12 → C2 ⊆ Aut C3144C3:2(C2xC3:C8)144,90

Non-split extensions G=N.Q with N=C3 and Q=C2×C3⋊C8
extensionφ:Q→Aut NdρLabelID
C3.(C2×C3⋊C8) = C2×C9⋊C8φ: C2×C3⋊C8/C2×C12 → C2 ⊆ Aut C3144C3.(C2xC3:C8)144,9

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