Extensions 1→N→G→Q→1 with N=C₇₆ and Q=C₄

Direct product G=N×Q with N=C₇₆ and Q=C₄

		d	ρ	Label	ID
C₄×C₇₆		304		C4xC76	304,19

Semidirect products G=N:Q with N=C₇₆ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇₆⋊₁C₄ = C₇₆⋊C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₇₆	304		C76:1C4	304,12
C₇₆⋊₂C₄ = C₄×Dic₁₉	φ: C₄/C₂ → C₂ ⊆ Aut C₇₆	304		C76:2C4	304,10
C₇₆⋊₃C₄ = C₄⋊C₄×C₁₉	φ: C₄/C₂ → C₂ ⊆ Aut C₇₆	304		C76:3C4	304,21

Non-split extensions G=N.Q with N=C₇₆ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇₆.₁C₄ = C₇₆.C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₇₆	152	2	C76.1C4	304,9
C₇₆.₂C₄ = C₁₉⋊C₁₆	φ: C₄/C₂ → C₂ ⊆ Aut C₇₆	304	2	C76.2C4	304,1
C₇₆.₃C₄ = C₂×C₁₉⋊C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₇₆	304		C76.3C4	304,8
C₇₆.₄C₄ = M₄(2)×C₁₉	φ: C₄/C₂ → C₂ ⊆ Aut C₇₆	152	2	C76.4C4	304,23

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