Extensions 1→N→G→Q→1 with N=C₂×C₃²⋊C₆ and Q=C₄

Direct product G=N×Q with N=C₂×C₃²⋊C₆ and Q=C₄

		d	ρ	Label	ID
C₂×C₄×C₃²⋊C₆		72		C2xC4xC3^2:C6	432,349

Semidirect products G=N:Q with N=C₂×C₃²⋊C₆ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₃²⋊C₆)⋊₁C₄ = C₆².₄D₆	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₃²⋊C₆	72		(C2xC3^2:C6):1C4	432,97
(C₂×C₃²⋊C₆)⋊₂C₄ = C₆².₂₁D₆	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₃²⋊C₆	72		(C2xC3^2:C6):2C4	432,141
(C₂×C₃²⋊C₆)⋊₃C₄ = C₂×C₆.S₃²	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₃²⋊C₆	72		(C2xC3^2:C6):3C4	432,317

Non-split extensions G=N.Q with N=C₂×C₃²⋊C₆ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₃²⋊C₆).₁C₄ = C₃²⋊C₆⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₃²⋊C₆	72	6	(C2xC3^2:C6).1C4	432,76
(C₂×C₃²⋊C₆).₂C₄ = He₃⋊M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₃²⋊C₆	72	6	(C2xC3^2:C6).2C4	432,77
(C₂×C₃²⋊C₆).₃C₄ = He₃⋊₅M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₃²⋊C₆	72	6	(C2xC3^2:C6).3C4	432,116
(C₂×C₃²⋊C₆).₄C₄ = C₈×C₃²⋊C₆	φ: trivial image	72	6	(C2xC3^2:C6).4C4	432,115

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