Extensions 1→N→G→Q→1 with N=C₇₆ and Q=C₂

Direct product G=N×Q with N=C₇₆ and Q=C₂

		d	ρ	Label	ID
C₂×C₇₆		152		C2xC76	152,8

Semidirect products G=N:Q with N=C₇₆ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇₆⋊₁C₂ = D₇₆	φ: C₂/C₁ → C₂ ⊆ Aut C₇₆	76	2+	C76:1C2	152,5
C₇₆⋊₂C₂ = C₄×D₁₉	φ: C₂/C₁ → C₂ ⊆ Aut C₇₆	76	2	C76:2C2	152,4
C₇₆⋊₃C₂ = D₄×C₁₉	φ: C₂/C₁ → C₂ ⊆ Aut C₇₆	76	2	C76:3C2	152,9

Non-split extensions G=N.Q with N=C₇₆ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇₆.₁C₂ = Dic₃₈	φ: C₂/C₁ → C₂ ⊆ Aut C₇₆	152	2-	C76.1C2	152,3
C₇₆.₂C₂ = C₁₉⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₇₆	152	2	C76.2C2	152,1
C₇₆.₃C₂ = Q₈×C₁₉	φ: C₂/C₁ → C₂ ⊆ Aut C₇₆	152	2	C76.3C2	152,10

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Extensions 1→N→G→Q→1 with N=C76 and Q=C2