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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₇₈)⋊₁C₃ = A₄×C₃₉	φ: C₃/C₁ → C₃ ⊆ Aut C₂×C₇₈	156	3	(C2xC78):1C3	468,48
(C₂×C₇₈)⋊₂C₃ = C₃×C₁₃⋊A₄	φ: C₃/C₁ → C₃ ⊆ Aut C₂×C₇₈	156	3	(C2xC78):2C3	468,49
(C₂×C₇₈)⋊₃C₃ = C₂×C₆×C₁₃⋊C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₂×C₇₈	156		(C2xC78):3C3	468,47

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₇₈).₁C₃ = C₁₃×C₃.A₄	φ: C₃/C₁ → C₃ ⊆ Aut C₂×C₇₈	234	3	(C2xC78).1C3	468,13
(C₂×C₇₈).₂C₃ = C₃₉.A₄	φ: C₃/C₁ → C₃ ⊆ Aut C₂×C₇₈	234	3	(C2xC78).2C3	468,14
(C₂×C₇₈).₃C₃ = C₂²×C₁₃⋊C₉	φ: C₃/C₁ → C₃ ⊆ Aut C₂×C₇₈	468		(C2xC78).3C3	468,12

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