Extensions 1→N→G→Q→1 with N=D₇₈ and Q=C₂

Direct product G=N×Q with N=D₇₈ and Q=C₂

		d	ρ	Label	ID
C₂²×D₃₉		156		C2^2xD39	312,60

Semidirect products G=N:Q with N=D₇₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₇₈⋊₁C₂ = D₁₅₆	φ: C₂/C₁ → C₂ ⊆ Out D₇₈	156	2+	D78:1C2	312,39
D₇₈⋊₂C₂ = C₃₉⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out D₇₈	156	2	D78:2C2	312,41
D₇₈⋊₃C₂ = C₃⋊D₅₂	φ: C₂/C₁ → C₂ ⊆ Out D₇₈	156	4+	D78:3C2	312,19
D₇₈⋊₄C₂ = C₁₃⋊D₁₂	φ: C₂/C₁ → C₂ ⊆ Out D₇₈	156	4+	D78:4C2	312,20
D₇₈⋊₅C₂ = C₂×S₃×D₁₃	φ: C₂/C₁ → C₂ ⊆ Out D₇₈	78	4+	D78:5C2	312,54

Non-split extensions G=N.Q with N=D₇₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₇₈.C₂ = D₇₈.C₂	φ: C₂/C₁ → C₂ ⊆ Out D₇₈	156	4+	D78.C2	312,17
D₇₈.₂C₂ = C₄×D₃₉	φ: trivial image	156	2	D78.2C2	312,38

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