Extensions 1→N→G→Q→1 with N=C₃×C₇₈ and Q=C₂

Direct product G=N×Q with N=C₃×C₇₈ and Q=C₂

		d	ρ	Label	ID
C₆×C₇₈		468		C6xC78	468,55

Semidirect products G=N:Q with N=C₃×C₇₈ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₇₈)⋊₁C₂ = C₂×C₃⋊D₃₉	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₇₈	234		(C3xC78):1C2	468,54
(C₃×C₇₈)⋊₂C₂ = C₆×D₃₉	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₇₈	156	2	(C3xC78):2C2	468,52
(C₃×C₇₈)⋊₃C₂ = C₃×C₆×D₁₃	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₇₈	234		(C3xC78):3C2	468,50
(C₃×C₇₈)⋊₄C₂ = S₃×C₇₈	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₇₈	156	2	(C3xC78):4C2	468,51
(C₃×C₇₈)⋊₅C₂ = C₃⋊S₃×C₂₆	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₇₈	234		(C3xC78):5C2	468,53

Non-split extensions G=N.Q with N=C₃×C₇₈ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₇₈).₁C₂ = C₃⋊Dic₃₉	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₇₈	468		(C3xC78).1C2	468,27
(C₃×C₇₈).₂C₂ = C₃×Dic₃₉	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₇₈	156	2	(C3xC78).2C2	468,25
(C₃×C₇₈).₃C₂ = C₃²×Dic₁₃	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₇₈	468		(C3xC78).3C2	468,23
(C₃×C₇₈).₄C₂ = Dic₃×C₃₉	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₇₈	156	2	(C3xC78).4C2	468,24
(C₃×C₇₈).₅C₂ = C₁₃×C₃⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₇₈	468		(C3xC78).5C2	468,26

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