Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂×C₃²⋊₄C₈

Direct product G=N×Q with N=C₃ and Q=C₂×C₃²⋊₄C₈

		d	ρ	Label	ID
C₆×C₃²⋊₄C₈		144		C6xC3^2:4C8	432,485

Semidirect products G=N:Q with N=C₃ and Q=C₂×C₃²⋊₄C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂×C₃²⋊₄C₈) = S₃×C₃²⋊₄C₈	φ: C₂×C₃²⋊₄C₈/C₃²⋊₄C₈ → C₂ ⊆ Aut C₃	144		C3:1(C2xC3^2:4C8)	432,430
C₃⋊₂(C₂×C₃²⋊₄C₈) = C₂×C₃³⋊₇C₈	φ: C₂×C₃²⋊₄C₈/C₆×C₁₂ → C₂ ⊆ Aut C₃	432		C3:2(C2xC3^2:4C8)	432,501

Non-split extensions G=N.Q with N=C₃ and Q=C₂×C₃²⋊₄C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂×C₃²⋊₄C₈) = C₂×C₃₆.S₃	φ: C₂×C₃²⋊₄C₈/C₆×C₁₂ → C₂ ⊆ Aut C₃	432		C3.(C2xC3^2:4C8)	432,178
C₃.₂(C₂×C₃²⋊₄C₈) = C₂×He₃⋊₄C₈	central stem extension (φ=1)	144		C3.2(C2xC3^2:4C8)	432,184

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Extensions 1→N→G→Q→1 with N=C3 and Q=C2×C32⋊4C8