Extensions 1→N→G→Q→1 with N=C₆xHe₃ and Q=C₂

Direct product G=NxQ with N=C₆xHe₃ and Q=C₂

		d	ρ	Label	ID
C₂xC₆xHe₃		108		C2xC6xHe3	324,152

Semidirect products G=N:Q with N=C₆xHe₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆xHe₃):₁C₂ = C₆xC₃²:C₆	φ: C₂/C₁ → C₂ ⊆ Out C₆xHe₃	36	6	(C6xHe3):1C2	324,138
(C₆xHe₃):₂C₂ = C₂xS₃xHe₃	φ: C₂/C₁ → C₂ ⊆ Out C₆xHe₃	36	6	(C6xHe3):2C2	324,139
(C₆xHe₃):₃C₂ = C₂xHe₃:₄S₃	φ: C₂/C₁ → C₂ ⊆ Out C₆xHe₃	54		(C6xHe3):3C2	324,144
(C₆xHe₃):₄C₂ = C₆xHe₃:C₂	φ: C₂/C₁ → C₂ ⊆ Out C₆xHe₃	54		(C6xHe3):4C2	324,145
(C₆xHe₃):₅C₂ = C₂xHe₃:₅S₃	φ: C₂/C₁ → C₂ ⊆ Out C₆xHe₃	36	6	(C6xHe3):5C2	324,150

Non-split extensions G=N.Q with N=C₆xHe₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆xHe₃).₁C₂ = C₃xC₃²:C₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₆xHe₃	36	6	(C6xHe3).1C2	324,92
(C₆xHe₃).₂C₂ = Dic₃xHe₃	φ: C₂/C₁ → C₂ ⊆ Out C₆xHe₃	36	6	(C6xHe3).2C2	324,93
(C₆xHe₃).₃C₂ = C₃³:₄C₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₆xHe₃	108		(C6xHe3).3C2	324,98
(C₆xHe₃).₄C₂ = C₃xHe₃:₃C₄	φ: C₂/C₁ → C₂ ⊆ Out C₆xHe₃	108		(C6xHe3).4C2	324,99
(C₆xHe₃).₅C₂ = He₃:₆Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₆xHe₃	36	6	(C6xHe3).5C2	324,104
(C₆xHe₃).₆C₂ = C₁₂xHe₃	φ: trivial image	108		(C6xHe3).6C2	324,106

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