Extensions 1→N→G→Q→1 with N=C₈xHe₃ and Q=C₂

Direct product G=NxQ with N=C₈xHe₃ and Q=C₂

		d	ρ	Label	ID
C₂xC₈xHe₃		144		C2xC8xHe3	432,210

Semidirect products G=N:Q with N=C₈xHe₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₈xHe₃):₁C₂ = He₃:₄D₈	φ: C₂/C₁ → C₂ ⊆ Out C₈xHe₃	72	6+	(C8xHe3):1C2	432,118
(C₈xHe₃):₂C₂ = He₃:₅D₈	φ: C₂/C₁ → C₂ ⊆ Out C₈xHe₃	72	6	(C8xHe3):2C2	432,176
(C₈xHe₃):₃C₂ = He₃:₆SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈xHe₃	72	6	(C8xHe3):3C2	432,117
(C₈xHe₃):₄C₂ = He₃:₇SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈xHe₃	72	6	(C8xHe3):4C2	432,175
(C₈xHe₃):₅C₂ = D₈xHe₃	φ: C₂/C₁ → C₂ ⊆ Out C₈xHe₃	72	6	(C8xHe3):5C2	432,216
(C₈xHe₃):₆C₂ = C₈xC₃²:C₆	φ: C₂/C₁ → C₂ ⊆ Out C₈xHe₃	72	6	(C8xHe3):6C2	432,115
(C₈xHe₃):₇C₂ = C₈xHe₃:C₂	φ: C₂/C₁ → C₂ ⊆ Out C₈xHe₃	72	3	(C8xHe3):7C2	432,173
(C₈xHe₃):₈C₂ = He₃:₅M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₈xHe₃	72	6	(C8xHe3):8C2	432,116
(C₈xHe₃):₉C₂ = He₃:₆M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₈xHe₃	72	6	(C8xHe3):9C2	432,174
(C₈xHe₃):₁₀C₂ = SD₁₆xHe₃	φ: C₂/C₁ → C₂ ⊆ Out C₈xHe₃	72	6	(C8xHe3):10C2	432,219
(C₈xHe₃):₁₁C₂ = M₄(2)xHe₃	φ: C₂/C₁ → C₂ ⊆ Out C₈xHe₃	72	6	(C8xHe3):11C2	432,213

Non-split extensions G=N.Q with N=C₈xHe₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₈xHe₃).₁C₂ = He₃:₄Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈xHe₃	144	6-	(C8xHe3).1C2	432,114
(C₈xHe₃).₂C₂ = He₃:₅Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈xHe₃	144	6	(C8xHe3).2C2	432,177
(C₈xHe₃).₃C₂ = Q₁₆xHe₃	φ: C₂/C₁ → C₂ ⊆ Out C₈xHe₃	144	6	(C8xHe3).3C2	432,222
(C₈xHe₃).₄C₂ = He₃:₃C₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈xHe₃	144	6	(C8xHe3).4C2	432,30
(C₈xHe₃).₅C₂ = He₃:₄C₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈xHe₃	144	3	(C8xHe3).5C2	432,33
(C₈xHe₃).₆C₂ = C₁₆xHe₃	φ: trivial image	144	3	(C8xHe3).6C2	432,35

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