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

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

		d	ρ	Label	ID
C₂×C₇₈		156		C2xC78	156,18

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇₈⋊₁C₂ = D₇₈	φ: C₂/C₁ → C₂ ⊆ Aut C₇₈	78	2+	C78:1C2	156,17
C₇₈⋊₂C₂ = C₆×D₁₃	φ: C₂/C₁ → C₂ ⊆ Aut C₇₈	78	2	C78:2C2	156,15
C₇₈⋊₃C₂ = S₃×C₂₆	φ: C₂/C₁ → C₂ ⊆ Aut C₇₈	78	2	C78:3C2	156,16

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇₈.₁C₂ = Dic₃₉	φ: C₂/C₁ → C₂ ⊆ Aut C₇₈	156	2-	C78.1C2	156,5
C₇₈.₂C₂ = C₃×Dic₁₃	φ: C₂/C₁ → C₂ ⊆ Aut C₇₈	156	2	C78.2C2	156,4
C₇₈.₃C₂ = Dic₃×C₁₃	φ: C₂/C₁ → C₂ ⊆ Aut C₇₈	156	2	C78.3C2	156,3

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