Extensions 1→N→G→Q→1 with N=C₆×C₁₈ and Q=C₄

Direct product G=N×Q with N=C₆×C₁₈ and Q=C₄

		d	ρ	Label	ID
C₂×C₆×C₃₆		432		C2xC6xC36	432,400

Semidirect products G=N:Q with N=C₆×C₁₈ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₆×C₁₈)⋊₁C₄ = C₉×C₆.D₄	φ: C₄/C₂ → C₂ ⊆ Aut C₆×C₁₈	72		(C6xC18):1C4	432,165
(C₆×C₁₈)⋊₂C₄ = C₂²⋊C₄×C₃×C₉	φ: C₄/C₂ → C₂ ⊆ Aut C₆×C₁₈	216		(C6xC18):2C4	432,203
(C₆×C₁₈)⋊₃C₄ = Dic₃×C₂×C₁₈	φ: C₄/C₂ → C₂ ⊆ Aut C₆×C₁₈	144		(C6xC18):3C4	432,373
(C₆×C₁₈)⋊₄C₄ = C₃×C₁₈.D₄	φ: C₄/C₂ → C₂ ⊆ Aut C₆×C₁₈	72		(C6xC18):4C4	432,164
(C₆×C₁₈)⋊₅C₄ = C₆².₁₂₇D₆	φ: C₄/C₂ → C₂ ⊆ Aut C₆×C₁₈	216		(C6xC18):5C4	432,198
(C₆×C₁₈)⋊₆C₄ = C₂×C₆×Dic₉	φ: C₄/C₂ → C₂ ⊆ Aut C₆×C₁₈	144		(C6xC18):6C4	432,372
(C₆×C₁₈)⋊₇C₄ = C₂²×C₉⋊Dic₃	φ: C₄/C₂ → C₂ ⊆ Aut C₆×C₁₈	432		(C6xC18):7C4	432,396

Non-split extensions G=N.Q with N=C₆×C₁₈ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₆×C₁₈).₁C₄ = C₁₈×C₃⋊C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₆×C₁₈	144		(C6xC18).1C4	432,126
(C₆×C₁₈).₂C₄ = C₉×C₄.Dic₃	φ: C₄/C₂ → C₂ ⊆ Aut C₆×C₁₈	72	2	(C6xC18).2C4	432,127
(C₆×C₁₈).₃C₄ = M₄(2)×C₃×C₉	φ: C₄/C₂ → C₂ ⊆ Aut C₆×C₁₈	216		(C6xC18).3C4	432,212
(C₆×C₁₈).₄C₄ = C₆×C₉⋊C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₆×C₁₈	144		(C6xC18).4C4	432,124
(C₆×C₁₈).₅C₄ = C₃×C₄.Dic₉	φ: C₄/C₂ → C₂ ⊆ Aut C₆×C₁₈	72	2	(C6xC18).5C4	432,125
(C₆×C₁₈).₆C₄ = C₂×C₃₆.S₃	φ: C₄/C₂ → C₂ ⊆ Aut C₆×C₁₈	432		(C6xC18).6C4	432,178
(C₆×C₁₈).₇C₄ = C₃₆.₆₉D₆	φ: C₄/C₂ → C₂ ⊆ Aut C₆×C₁₈	216		(C6xC18).7C4	432,179

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