Extensions 1→N→G→Q→1 with N=C₃×C₃₆ and Q=C₂

Direct product G=N×Q with N=C₃×C₃₆ and Q=C₂

		d	ρ	Label	ID
C₆×C₃₆		216		C6xC36	216,73

Semidirect products G=N:Q with N=C₃×C₃₆ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₃₆)⋊₁C₂ = S₃×C₃₆	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₃₆	72	2	(C3xC36):1C2	216,47
(C₃×C₃₆)⋊₂C₂ = C₃×D₃₆	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₃₆	72	2	(C3xC36):2C2	216,46
(C₃×C₃₆)⋊₃C₂ = C₃₆⋊S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₃₆	108		(C3xC36):3C2	216,65
(C₃×C₃₆)⋊₄C₂ = C₁₂×D₉	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₃₆	72	2	(C3xC36):4C2	216,45
(C₃×C₃₆)⋊₅C₂ = C₄×C₉⋊S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₃₆	108		(C3xC36):5C2	216,64
(C₃×C₃₆)⋊₆C₂ = C₉×D₁₂	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₃₆	72	2	(C3xC36):6C2	216,48
(C₃×C₃₆)⋊₇C₂ = D₄×C₃×C₉	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₃₆	108		(C3xC36):7C2	216,76

Non-split extensions G=N.Q with N=C₃×C₃₆ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₃₆).₁C₂ = C₉×C₃⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₃₆	72	2	(C3xC36).1C2	216,13
(C₃×C₃₆).₂C₂ = C₃×Dic₁₈	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₃₆	72	2	(C3xC36).2C2	216,43
(C₃×C₃₆).₃C₂ = C₁₂.D₉	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₃₆	216		(C3xC36).3C2	216,63
(C₃×C₃₆).₄C₂ = C₃×C₉⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₃₆	72	2	(C3xC36).4C2	216,12
(C₃×C₃₆).₅C₂ = C₃₆.S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₃₆	216		(C3xC36).5C2	216,16
(C₃×C₃₆).₆C₂ = C₉×Dic₆	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₃₆	72	2	(C3xC36).6C2	216,44
(C₃×C₃₆).₇C₂ = Q₈×C₃×C₉	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₃₆	216		(C3xC36).7C2	216,79

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