Extensions 1→N→G→Q→1 with N=Q₈×C₁₁ and Q=C₂²

Direct product G=N×Q with N=Q₈×C₁₁ and Q=C₂²

		d	ρ	Label	ID
Q₈×C₂×C₂₂		352		Q8xC2xC22	352,190

Semidirect products G=N:Q with N=Q₈×C₁₁ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₁₁)⋊₁C₂² = SD₁₆×D₁₁	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₁	88	4	(Q8xC11):1C2^2	352,108
(Q₈×C₁₁)⋊₂C₂² = D₈₈⋊C₂	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₁	88	4+	(Q8xC11):2C2^2	352,109
(Q₈×C₁₁)⋊₃C₂² = C₂×Q₈⋊D₁₁	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₁	176		(Q8xC11):3C2^2	352,136
(Q₈×C₁₁)⋊₄C₂² = Q₈⋊D₂₂	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₁	88	4+	(Q8xC11):4C2^2	352,144
(Q₈×C₁₁)⋊₅C₂² = C₂×Q₈×D₁₁	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₁	176		(Q8xC11):5C2^2	352,180
(Q₈×C₁₁)⋊₆C₂² = C₂×D₄₄⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₁	176		(Q8xC11):6C2^2	352,181
(Q₈×C₁₁)⋊₇C₂² = C₄○D₄×D₁₁	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₁	88	4	(Q8xC11):7C2^2	352,183
(Q₈×C₁₁)⋊₈C₂² = D₄⋊₈D₂₂	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₁	88	4+	(Q8xC11):8C2^2	352,184
(Q₈×C₁₁)⋊₉C₂² = SD₁₆×C₂₂	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₁	176		(Q8xC11):9C2^2	352,168
(Q₈×C₁₁)⋊₁₀C₂² = C₁₁×C₈⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₁	88	4	(Q8xC11):10C2^2	352,171
(Q₈×C₁₁)⋊₁₁C₂² = C₄○D₄×C₂₂	φ: trivial image	176		(Q8xC11):11C2^2	352,191
(Q₈×C₁₁)⋊₁₂C₂² = C₁₁×2₊¹⁺⁴	φ: trivial image	88	4	(Q8xC11):12C2^2	352,192

Non-split extensions G=N.Q with N=Q₈×C₁₁ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₁₁).₁C₂² = D₄.D₂₂	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₁	176	4-	(Q8xC11).1C2^2	352,110
(Q₈×C₁₁).₂C₂² = Q₈.D₂₂	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₁	176	4	(Q8xC11).2C2^2	352,111
(Q₈×C₁₁).₃C₂² = Q₁₆×D₁₁	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₁	176	4-	(Q8xC11).3C2^2	352,112
(Q₈×C₁₁).₄C₂² = Q₁₆⋊D₁₁	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₁	176	4	(Q8xC11).4C2^2	352,113
(Q₈×C₁₁).₅C₂² = D₈₈⋊₅C₂	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₁	176	4+	(Q8xC11).5C2^2	352,114
(Q₈×C₁₁).₆C₂² = C₄₄.C₂³	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₁	176	4	(Q8xC11).6C2^2	352,137
(Q₈×C₁₁).₇C₂² = C₂×C₁₁⋊Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₁	352		(Q8xC11).7C2^2	352,138
(Q₈×C₁₁).₈C₂² = D₄.₈D₂₂	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₁	176	4	(Q8xC11).8C2^2	352,145
(Q₈×C₁₁).₉C₂² = D₄.₉D₂₂	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₁	176	4-	(Q8xC11).9C2^2	352,146
(Q₈×C₁₁).₁₀C₂² = Q₈.₁₀D₂₂	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₁	176	4	(Q8xC11).10C2^2	352,182
(Q₈×C₁₁).₁₁C₂² = D₄.₁₀D₂₂	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₁	176	4-	(Q8xC11).11C2^2	352,185
(Q₈×C₁₁).₁₂C₂² = Q₁₆×C₂₂	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₁	352		(Q8xC11).12C2^2	352,169
(Q₈×C₁₁).₁₃C₂² = C₁₁×C₄○D₈	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₁	176	2	(Q8xC11).13C2^2	352,170
(Q₈×C₁₁).₁₄C₂² = C₁₁×C₈.C₂²	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₁	176	4	(Q8xC11).14C2^2	352,172
(Q₈×C₁₁).₁₅C₂² = C₁₁×2_-¹⁺⁴	φ: trivial image	176	4	(Q8xC11).15C2^2	352,193

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