Extensions 1→N→G→Q→1 with N=C₂×C₇₈ and Q=C₂

Direct product G=N×Q with N=C₂×C₇₈ and Q=C₂

		d	ρ	Label	ID
C₂²×C₇₈		312		C2^2xC78	312,61

Semidirect products G=N:Q with N=C₂×C₇₈ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₇₈)⋊₁C₂ = D₄×C₃₉	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₈	156	2	(C2xC78):1C2	312,43
(C₂×C₇₈)⋊₂C₂ = C₃₉⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₈	156	2	(C2xC78):2C2	312,41
(C₂×C₇₈)⋊₃C₂ = C₂²×D₃₉	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₈	156		(C2xC78):3C2	312,60
(C₂×C₇₈)⋊₄C₂ = C₃×C₁₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₈	156	2	(C2xC78):4C2	312,31
(C₂×C₇₈)⋊₅C₂ = C₂×C₆×D₁₃	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₈	156		(C2xC78):5C2	312,58
(C₂×C₇₈)⋊₆C₂ = C₁₃×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₈	156	2	(C2xC78):6C2	312,36
(C₂×C₇₈)⋊₇C₂ = S₃×C₂×C₂₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₈	156		(C2xC78):7C2	312,59

Non-split extensions G=N.Q with N=C₂×C₇₈ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₇₈).₁C₂ = C₂×Dic₃₉	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₈	312		(C2xC78).1C2	312,40
(C₂×C₇₈).₂C₂ = C₆×Dic₁₃	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₈	312		(C2xC78).2C2	312,30
(C₂×C₇₈).₃C₂ = Dic₃×C₂₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₈	312		(C2xC78).3C2	312,35

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