Extensions 1→N→G→Q→1 with N=C₆×He₃ and Q=C₂

Direct product G=N×Q with N=C₆×He₃ and Q=C₂

		d	ρ	Label	ID
C₂×C₆×He₃		108		C2xC6xHe3	324,152

Semidirect products G=N:Q with N=C₆×He₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×He₃)⋊₁C₂ = C₆×C₃²⋊C₆	φ: C₂/C₁ → C₂ ⊆ Out C₆×He₃	36	6	(C6xHe3):1C2	324,138
(C₆×He₃)⋊₂C₂ = C₂×S₃×He₃	φ: C₂/C₁ → C₂ ⊆ Out C₆×He₃	36	6	(C6xHe3):2C2	324,139
(C₆×He₃)⋊₃C₂ = C₂×He₃⋊₄S₃	φ: C₂/C₁ → C₂ ⊆ Out C₆×He₃	54		(C6xHe3):3C2	324,144
(C₆×He₃)⋊₄C₂ = C₆×He₃⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₆×He₃	54		(C6xHe3):4C2	324,145
(C₆×He₃)⋊₅C₂ = C₂×He₃⋊₅S₃	φ: C₂/C₁ → C₂ ⊆ Out C₆×He₃	36	6	(C6xHe3):5C2	324,150

Non-split extensions G=N.Q with N=C₆×He₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×He₃).₁C₂ = C₃×C₃²⋊C₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₆×He₃	36	6	(C6xHe3).1C2	324,92
(C₆×He₃).₂C₂ = Dic₃×He₃	φ: C₂/C₁ → C₂ ⊆ Out C₆×He₃	36	6	(C6xHe3).2C2	324,93
(C₆×He₃).₃C₂ = C₃³⋊₄C₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₆×He₃	108		(C6xHe3).3C2	324,98
(C₆×He₃).₄C₂ = C₃×He₃⋊₃C₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×He₃	108		(C6xHe3).4C2	324,99
(C₆×He₃).₅C₂ = He₃⋊₆Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₆×He₃	36	6	(C6xHe3).5C2	324,104
(C₆×He₃).₆C₂ = C₁₂×He₃	φ: trivial image	108		(C6xHe3).6C2	324,106

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