Extensions 1→N→G→Q→1 with N=C₇×Q₈ and Q=C₂²

Direct product G=N×Q with N=C₇×Q₈ and Q=C₂²

		d	ρ	Label	ID
Q₈×C₂×C₁₄		224		Q8xC2xC14	224,191

Semidirect products G=N:Q with N=C₇×Q₈ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×Q₈)⋊₁C₂² = D₇×SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₇×Q₈	56	4	(C7xQ8):1C2^2	224,108
(C₇×Q₈)⋊₂C₂² = D₅₆⋊C₂	φ: C₂²/C₁ → C₂² ⊆ Out C₇×Q₈	56	4+	(C7xQ8):2C2^2	224,109
(C₇×Q₈)⋊₃C₂² = C₂×Q₈⋊D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₇×Q₈	112		(C7xQ8):3C2^2	224,136
(C₇×Q₈)⋊₄C₂² = D₄⋊D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×Q₈	56	4+	(C7xQ8):4C2^2	224,144
(C₇×Q₈)⋊₅C₂² = C₂×Q₈×D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₇×Q₈	112		(C7xQ8):5C2^2	224,181
(C₇×Q₈)⋊₆C₂² = C₂×Q₈⋊₂D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₇×Q₈	112		(C7xQ8):6C2^2	224,182
(C₇×Q₈)⋊₇C₂² = D₇×C₄○D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×Q₈	56	4	(C7xQ8):7C2^2	224,184
(C₇×Q₈)⋊₈C₂² = D₄⋊₈D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×Q₈	56	4+	(C7xQ8):8C2^2	224,185
(C₇×Q₈)⋊₉C₂² = C₁₄×SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₇×Q₈	112		(C7xQ8):9C2^2	224,168
(C₇×Q₈)⋊₁₀C₂² = C₇×C₈⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₇×Q₈	56	4	(C7xQ8):10C2^2	224,171
(C₇×Q₈)⋊₁₁C₂² = C₁₄×C₄○D₄	φ: trivial image	112		(C7xQ8):11C2^2	224,192
(C₇×Q₈)⋊₁₂C₂² = C₇×2₊¹⁺⁴	φ: trivial image	56	4	(C7xQ8):12C2^2	224,193

Non-split extensions G=N.Q with N=C₇×Q₈ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×Q₈).₁C₂² = SD₁₆⋊D₇	φ: C₂²/C₁ → C₂² ⊆ Out C₇×Q₈	112	4-	(C7xQ8).1C2^2	224,110
(C₇×Q₈).₂C₂² = SD₁₆⋊₃D₇	φ: C₂²/C₁ → C₂² ⊆ Out C₇×Q₈	112	4	(C7xQ8).2C2^2	224,111
(C₇×Q₈).₃C₂² = D₇×Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₇×Q₈	112	4-	(C7xQ8).3C2^2	224,112
(C₇×Q₈).₄C₂² = Q₁₆⋊D₇	φ: C₂²/C₁ → C₂² ⊆ Out C₇×Q₈	112	4	(C7xQ8).4C2^2	224,113
(C₇×Q₈).₅C₂² = Q₈.D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×Q₈	112	4+	(C7xQ8).5C2^2	224,114
(C₇×Q₈).₆C₂² = C₂₈.C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₇×Q₈	112	4	(C7xQ8).6C2^2	224,137
(C₇×Q₈).₇C₂² = C₂×C₇⋊Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₇×Q₈	224		(C7xQ8).7C2^2	224,138
(C₇×Q₈).₈C₂² = D₄.₈D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×Q₈	112	4	(C7xQ8).8C2^2	224,145
(C₇×Q₈).₉C₂² = D₄.₉D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×Q₈	112	4-	(C7xQ8).9C2^2	224,146
(C₇×Q₈).₁₀C₂² = Q₈.₁₀D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×Q₈	112	4	(C7xQ8).10C2^2	224,183
(C₇×Q₈).₁₁C₂² = D₄.₁₀D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×Q₈	112	4-	(C7xQ8).11C2^2	224,186
(C₇×Q₈).₁₂C₂² = C₁₄×Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₇×Q₈	224		(C7xQ8).12C2^2	224,169
(C₇×Q₈).₁₃C₂² = C₇×C₄○D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₇×Q₈	112	2	(C7xQ8).13C2^2	224,170
(C₇×Q₈).₁₄C₂² = C₇×C₈.C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₇×Q₈	112	4	(C7xQ8).14C2^2	224,172
(C₇×Q₈).₁₅C₂² = C₇×2_-¹⁺⁴	φ: trivial image	112	4	(C7xQ8).15C2^2	224,194

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