Extensions 1→N→G→Q→1 with N=C₂×C₁₁₆ and Q=C₂

Direct product G=N×Q with N=C₂×C₁₁₆ and Q=C₂

		d	ρ	Label	ID
C₂²×C₁₁₆		464		C2^2xC116	464,45

Semidirect products G=N:Q with N=C₂×C₁₁₆ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₁₆)⋊₁C₂ = D₅₈⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₁₆	232		(C2xC116):1C2	464,14
(C₂×C₁₁₆)⋊₂C₂ = C₂²⋊C₄×C₂₉	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₁₆	232		(C2xC116):2C2	464,21
(C₂×C₁₁₆)⋊₃C₂ = C₂×D₁₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₁₆	232		(C2xC116):3C2	464,37
(C₂×C₁₁₆)⋊₄C₂ = D₁₁₆⋊₅C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₁₆	232	2	(C2xC116):4C2	464,38
(C₂×C₁₁₆)⋊₅C₂ = C₂×C₄×D₂₉	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₁₆	232		(C2xC116):5C2	464,36
(C₂×C₁₁₆)⋊₆C₂ = D₄×C₅₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₁₆	232		(C2xC116):6C2	464,46
(C₂×C₁₁₆)⋊₇C₂ = C₄○D₄×C₂₉	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₁₆	232	2	(C2xC116):7C2	464,48

Non-split extensions G=N.Q with N=C₂×C₁₁₆ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₁₆).₁C₂ = C₅₈.D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₁₆	464		(C2xC116).1C2	464,12
(C₂×C₁₁₆).₂C₂ = C₄⋊C₄×C₂₉	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₁₆	464		(C2xC116).2C2	464,22
(C₂×C₁₁₆).₃C₂ = C₄⋊Dic₂₉	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₁₆	464		(C2xC116).3C2	464,13
(C₂×C₁₁₆).₄C₂ = C₂×Dic₅₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₁₆	464		(C2xC116).4C2	464,35
(C₂×C₁₁₆).₅C₂ = C₄.Dic₂₉	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₁₆	232	2	(C2xC116).5C2	464,10
(C₂×C₁₁₆).₆C₂ = C₂×C₂₉⋊₂C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₁₆	464		(C2xC116).6C2	464,9
(C₂×C₁₁₆).₇C₂ = C₄×Dic₂₉	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₁₆	464		(C2xC116).7C2	464,11
(C₂×C₁₁₆).₈C₂ = M₄(2)×C₂₉	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₁₆	232	2	(C2xC116).8C2	464,24
(C₂×C₁₁₆).₉C₂ = Q₈×C₅₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₁₆	464		(C2xC116).9C2	464,47

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