Extensions 1→N→G→Q→1 with N=C₂xHe₃ and Q=C₆

Direct product G=NxQ with N=C₂xHe₃ and Q=C₆

		d	ρ	Label	ID
C₂xC₆xHe₃		108		C2xC6xHe3	324,152

Semidirect products G=N:Q with N=C₂xHe₃ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xHe₃):C₆ = C₂xC₃wrS₃	φ: C₆/C₁ → C₆ ⊆ Out C₂xHe₃	18	3	(C2xHe3):C6	324,68
(C₂xHe₃):₂C₆ = C₂²xC₃wrC₃	φ: C₆/C₂ → C₃ ⊆ Out C₂xHe₃	36		(C2xHe3):2C6	324,86
(C₂xHe₃):₃C₆ = C₂²xHe₃:C₃	φ: C₆/C₂ → C₃ ⊆ Out C₂xHe₃	108		(C2xHe3):3C6	324,88
(C₂xHe₃):₄C₆ = C₆xC₃²:C₆	φ: C₆/C₃ → C₂ ⊆ Out C₂xHe₃	36	6	(C2xHe3):4C6	324,138
(C₂xHe₃):₅C₆ = C₆xHe₃:C₂	φ: C₆/C₃ → C₂ ⊆ Out C₂xHe₃	54		(C2xHe3):5C6	324,145

Non-split extensions G=N.Q with N=C₂xHe₃ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xHe₃).₁C₆ = He₃:C₁₂	φ: C₆/C₁ → C₆ ⊆ Out C₂xHe₃	36	3	(C2xHe3).1C6	324,13
(C₂xHe₃).₂C₆ = He₃.C₁₂	φ: C₆/C₁ → C₆ ⊆ Out C₂xHe₃	108	3	(C2xHe3).2C6	324,15
(C₂xHe₃).₃C₆ = He₃.₂C₁₂	φ: C₆/C₁ → C₆ ⊆ Out C₂xHe₃	108	3	(C2xHe3).3C6	324,17
(C₂xHe₃).₄C₆ = C₂xHe₃.C₆	φ: C₆/C₁ → C₆ ⊆ Out C₂xHe₃	54	3	(C2xHe3).4C6	324,70
(C₂xHe₃).₅C₆ = C₂xHe₃.₂C₆	φ: C₆/C₁ → C₆ ⊆ Out C₂xHe₃	54	3	(C2xHe3).5C6	324,72
(C₂xHe₃).₆C₆ = C₄xC₃wrC₃	φ: C₆/C₂ → C₃ ⊆ Out C₂xHe₃	36	3	(C2xHe3).6C6	324,31
(C₂xHe₃).₇C₆ = C₄xHe₃.C₃	φ: C₆/C₂ → C₃ ⊆ Out C₂xHe₃	108	3	(C2xHe3).7C6	324,32
(C₂xHe₃).₈C₆ = C₄xHe₃:C₃	φ: C₆/C₂ → C₃ ⊆ Out C₂xHe₃	108	3	(C2xHe3).8C6	324,33
(C₂xHe₃).₉C₆ = C₂²xHe₃.C₃	φ: C₆/C₂ → C₃ ⊆ Out C₂xHe₃	108		(C2xHe3).9C6	324,87
(C₂xHe₃).₁₀C₆ = C₃xC₃²:C₁₂	φ: C₆/C₃ → C₂ ⊆ Out C₂xHe₃	36	6	(C2xHe3).10C6	324,92
(C₂xHe₃).₁₁C₆ = C₃xHe₃:₃C₄	φ: C₆/C₃ → C₂ ⊆ Out C₂xHe₃	108		(C2xHe3).11C6	324,99
(C₂xHe₃).₁₂C₆ = He₃.₅C₁₂	φ: C₆/C₃ → C₂ ⊆ Out C₂xHe₃	108	3	(C2xHe3).12C6	324,102
(C₂xHe₃).₁₃C₆ = C₂xHe₃.₄C₆	φ: C₆/C₃ → C₂ ⊆ Out C₂xHe₃	54	3	(C2xHe3).13C6	324,148
(C₂xHe₃).₁₄C₆ = C₁₂xHe₃	φ: trivial image	108		(C2xHe3).14C6	324,106
(C₂xHe₃).₁₅C₆ = C₄xC₉oHe₃	φ: trivial image	108	3	(C2xHe3).15C6	324,108
(C₂xHe₃).₁₆C₆ = C₂²xC₉oHe₃	φ: trivial image	108		(C2xHe3).16C6	324,154

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