Extensions 1→N→G→Q→1 with N=C₇₆ and Q=C₆

Direct product G=N×Q with N=C₇₆ and Q=C₆

		d	ρ	Label	ID
C₂×C₂₂₈		456		C2xC228	456,39

Semidirect products G=N:Q with N=C₇₆ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇₆⋊₁C₆ = D₇₆⋊C₃	φ: C₆/C₁ → C₆ ⊆ Aut C₇₆	76	6+	C76:1C6	456,9
C₇₆⋊₂C₆ = C₄×C₁₉⋊C₆	φ: C₆/C₁ → C₆ ⊆ Aut C₇₆	76	6	C76:2C6	456,8
C₇₆⋊₃C₆ = D₄×C₁₉⋊C₃	φ: C₆/C₁ → C₆ ⊆ Aut C₇₆	76	6	C76:3C6	456,20
C₇₆⋊₄C₆ = C₂×C₄×C₁₉⋊C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₇₆	152		C76:4C6	456,19
C₇₆⋊₅C₆ = C₃×D₇₆	φ: C₆/C₃ → C₂ ⊆ Aut C₇₆	228	2	C76:5C6	456,26
C₇₆⋊₆C₆ = C₁₂×D₁₉	φ: C₆/C₃ → C₂ ⊆ Aut C₇₆	228	2	C76:6C6	456,25
C₇₆⋊₇C₆ = D₄×C₅₇	φ: C₆/C₃ → C₂ ⊆ Aut C₇₆	228	2	C76:7C6	456,40

Non-split extensions G=N.Q with N=C₇₆ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇₆.₁C₆ = Dic₃₈⋊C₃	φ: C₆/C₁ → C₆ ⊆ Aut C₇₆	152	6-	C76.1C6	456,7
C₇₆.₂C₆ = C₁₉⋊C₂₄	φ: C₆/C₁ → C₆ ⊆ Aut C₇₆	152	6	C76.2C6	456,1
C₇₆.₃C₆ = Q₈×C₁₉⋊C₃	φ: C₆/C₁ → C₆ ⊆ Aut C₇₆	152	6	C76.3C6	456,21
C₇₆.₄C₆ = C₈×C₁₉⋊C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₇₆	152	3	C76.4C6	456,2
C₇₆.₅C₆ = C₃×Dic₃₈	φ: C₆/C₃ → C₂ ⊆ Aut C₇₆	456	2	C76.5C6	456,24
C₇₆.₆C₆ = C₃×C₁₉⋊C₈	φ: C₆/C₃ → C₂ ⊆ Aut C₇₆	456	2	C76.6C6	456,4
C₇₆.₇C₆ = Q₈×C₅₇	φ: C₆/C₃ → C₂ ⊆ Aut C₇₆	456	2	C76.7C6	456,41

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