Extensions 1→N→G→Q→1 with N=C₇₆ and Q=C₂²

Direct product G=N×Q with N=C₇₆ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₇₆		304		C2^2xC76	304,37

Semidirect products G=N:Q with N=C₇₆ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇₆⋊C₂² = D₄×D₁₉	φ: C₂²/C₁ → C₂² ⊆ Aut C₇₆	76	4+	C76:C2^2	304,31
C₇₆⋊₂C₂² = C₂×D₇₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₇₆	152		C76:2C2^2	304,29
C₇₆⋊₃C₂² = C₂×C₄×D₁₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₇₆	152		C76:3C2^2	304,28
C₇₆⋊₄C₂² = D₄×C₃₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₇₆	152		C76:4C2^2	304,38

Non-split extensions G=N.Q with N=C₇₆ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇₆.₁C₂² = D₄⋊D₁₉	φ: C₂²/C₁ → C₂² ⊆ Aut C₇₆	152	4+	C76.1C2^2	304,14
C₇₆.₂C₂² = D₄.D₁₉	φ: C₂²/C₁ → C₂² ⊆ Aut C₇₆	152	4-	C76.2C2^2	304,15
C₇₆.₃C₂² = Q₈⋊D₁₉	φ: C₂²/C₁ → C₂² ⊆ Aut C₇₆	152	4+	C76.3C2^2	304,16
C₇₆.₄C₂² = C₁₉⋊Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₇₆	304	4-	C76.4C2^2	304,17
C₇₆.₅C₂² = D₄⋊₂D₁₉	φ: C₂²/C₁ → C₂² ⊆ Aut C₇₆	152	4-	C76.5C2^2	304,32
C₇₆.₆C₂² = Q₈×D₁₉	φ: C₂²/C₁ → C₂² ⊆ Aut C₇₆	152	4-	C76.6C2^2	304,33
C₇₆.₇C₂² = D₇₆⋊C₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₇₆	152	4+	C76.7C2^2	304,34
C₇₆.₈C₂² = C₁₅₂⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₇₆	152	2	C76.8C2^2	304,5
C₇₆.₉C₂² = D₁₅₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₇₆	152	2+	C76.9C2^2	304,6
C₇₆.₁₀C₂² = Dic₇₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₇₆	304	2-	C76.10C2^2	304,7
C₇₆.₁₁C₂² = C₂×Dic₃₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₇₆	304		C76.11C2^2	304,27
C₇₆.₁₂C₂² = C₈×D₁₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₇₆	152	2	C76.12C2^2	304,3
C₇₆.₁₃C₂² = C₈⋊D₁₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₇₆	152	2	C76.13C2^2	304,4
C₇₆.₁₄C₂² = C₂×C₁₉⋊C₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₇₆	304		C76.14C2^2	304,8
C₇₆.₁₅C₂² = C₇₆.C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₇₆	152	2	C76.15C2^2	304,9
C₇₆.₁₆C₂² = D₇₆⋊₅C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₇₆	152	2	C76.16C2^2	304,30
C₇₆.₁₇C₂² = D₈×C₁₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₇₆	152	2	C76.17C2^2	304,24
C₇₆.₁₈C₂² = SD₁₆×C₁₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₇₆	152	2	C76.18C2^2	304,25
C₇₆.₁₉C₂² = Q₁₆×C₁₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₇₆	304	2	C76.19C2^2	304,26
C₇₆.₂₀C₂² = Q₈×C₃₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₇₆	304		C76.20C2^2	304,39
C₇₆.₂₁C₂² = C₄○D₄×C₁₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₇₆	152	2	C76.21C2^2	304,40
C₇₆.₂₂C₂² = M₄(2)×C₁₉	central extension (φ=1)	152	2	C76.22C2^2	304,23

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Extensions 1→N→G→Q→1 with N=C76 and Q=C22

Extensions 1→N→G→Q→1 with N=C₇₆ and Q=C₂²