Extensions 1→N→G→Q→1 with N=C₂×C₆ and Q=C₃₆

Direct product G=N×Q with N=C₂×C₆ and Q=C₃₆

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

Semidirect products G=N:Q with N=C₂×C₆ and Q=C₃₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆)⋊C₃₆ = Dic₃×C₃.A₄	φ: C₃₆/C₆ → C₆ ⊆ Aut C₂×C₆	36	6	(C2xC6):C36	432,271
(C₂×C₆)⋊₂C₃₆ = C₁₂×C₃.A₄	φ: C₃₆/C₁₂ → C₃ ⊆ Aut C₂×C₆	108		(C2xC6):2C36	432,331
(C₂×C₆)⋊₃C₃₆ = C₂²⋊C₄×C₃×C₉	φ: C₃₆/C₁₈ → C₂ ⊆ Aut C₂×C₆	216		(C2xC6):3C36	432,203
(C₂×C₆)⋊₄C₃₆ = C₉×C₆.D₄	φ: C₃₆/C₁₈ → C₂ ⊆ Aut C₂×C₆	72		(C2xC6):4C36	432,165
(C₂×C₆)⋊₅C₃₆ = Dic₃×C₂×C₁₈	φ: C₃₆/C₁₈ → C₂ ⊆ Aut C₂×C₆	144		(C2xC6):5C36	432,373

Non-split extensions G=N.Q with N=C₂×C₆ and Q=C₃₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆).C₃₆ = C₄×C₉.A₄	φ: C₃₆/C₁₂ → C₃ ⊆ Aut C₂×C₆	108	3	(C2xC6).C36	432,40
(C₂×C₆).₂C₃₆ = C₂²⋊C₄×C₂₇	φ: C₃₆/C₁₈ → C₂ ⊆ Aut C₂×C₆	216		(C2xC6).2C36	432,21
(C₂×C₆).₃C₃₆ = M₄(2)×C₂₇	φ: C₃₆/C₁₈ → C₂ ⊆ Aut C₂×C₆	216	2	(C2xC6).3C36	432,24
(C₂×C₆).₄C₃₆ = M₄(2)×C₃×C₉	φ: C₃₆/C₁₈ → C₂ ⊆ Aut C₂×C₆	216		(C2xC6).4C36	432,212
(C₂×C₆).₅C₃₆ = C₁₈×C₃⋊C₈	φ: C₃₆/C₁₈ → C₂ ⊆ Aut C₂×C₆	144		(C2xC6).5C36	432,126
(C₂×C₆).₆C₃₆ = C₉×C₄.Dic₃	φ: C₃₆/C₁₈ → C₂ ⊆ Aut C₂×C₆	72	2	(C2xC6).6C36	432,127

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