Extensions 1→N→G→Q→1 with N=C₆ and Q=C₃²⋊₄C₈

Direct product G=N×Q with N=C₆ and Q=C₃²⋊₄C₈

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

Semidirect products G=N:Q with N=C₆ and Q=C₃²⋊₄C₈

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

Non-split extensions G=N.Q with N=C₆ and Q=C₃²⋊₄C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₃²⋊₄C₈) = C₇₂.S₃	φ: C₃²⋊₄C₈/C₃×C₁₂ → C₂ ⊆ Aut C₆	432		C6.1(C3^2:4C8)	432,32
C₆.₂(C₃²⋊₄C₈) = C₂×C₃₆.S₃	φ: C₃²⋊₄C₈/C₃×C₁₂ → C₂ ⊆ Aut C₆	432		C6.2(C3^2:4C8)	432,178
C₆.₃(C₃²⋊₄C₈) = C₃³⋊₇C₁₆	φ: C₃²⋊₄C₈/C₃×C₁₂ → C₂ ⊆ Aut C₆	432		C6.3(C3^2:4C8)	432,231
C₆.₄(C₃²⋊₄C₈) = He₃⋊₄C₁₆	central extension (φ=1)	144	3	C6.4(C3^2:4C8)	432,33
C₆.₅(C₃²⋊₄C₈) = C₂×He₃⋊₄C₈	central extension (φ=1)	144		C6.5(C3^2:4C8)	432,184
C₆.₆(C₃²⋊₄C₈) = C₃×C₂₄.S₃	central extension (φ=1)	144		C6.6(C3^2:4C8)	432,230

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