Extensions 1→N→G→Q→1 with N=D₄×C₁₁ and Q=C₂²

Direct product G=N×Q with N=D₄×C₁₁ and Q=C₂²

		d	ρ	Label	ID
D₄×C₂×C₂₂		176		D4xC2xC22	352,189

Semidirect products G=N:Q with N=D₄×C₁₁ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₁₁)⋊₁C₂² = D₈×D₁₁	φ: C₂²/C₁ → C₂² ⊆ Out D₄×C₁₁	88	4+	(D4xC11):1C2^2	352,105
(D₄×C₁₁)⋊₂C₂² = D₄⋊D₂₂	φ: C₂²/C₁ → C₂² ⊆ Out D₄×C₁₁	88	4	(D4xC11):2C2^2	352,106
(D₄×C₁₁)⋊₃C₂² = C₂×D₄⋊D₁₁	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₁₁	176		(D4xC11):3C2^2	352,126
(D₄×C₁₁)⋊₄C₂² = Q₈⋊D₂₂	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₁₁	88	4+	(D4xC11):4C2^2	352,144
(D₄×C₁₁)⋊₅C₂² = C₂×D₄×D₁₁	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₁₁	88		(D4xC11):5C2^2	352,177
(D₄×C₁₁)⋊₆C₂² = C₂×D₄⋊₂D₁₁	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₁₁	176		(D4xC11):6C2^2	352,178
(D₄×C₁₁)⋊₇C₂² = D₄⋊₆D₂₂	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₁₁	88	4	(D4xC11):7C2^2	352,179
(D₄×C₁₁)⋊₈C₂² = C₄○D₄×D₁₁	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₁₁	88	4	(D4xC11):8C2^2	352,183
(D₄×C₁₁)⋊₉C₂² = D₄⋊₈D₂₂	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₁₁	88	4+	(D4xC11):9C2^2	352,184
(D₄×C₁₁)⋊₁₀C₂² = D₈×C₂₂	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₁₁	176		(D4xC11):10C2^2	352,167
(D₄×C₁₁)⋊₁₁C₂² = C₁₁×C₈⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₁₁	88	4	(D4xC11):11C2^2	352,171
(D₄×C₁₁)⋊₁₂C₂² = C₄○D₄×C₂₂	φ: trivial image	176		(D4xC11):12C2^2	352,191
(D₄×C₁₁)⋊₁₃C₂² = C₁₁×2₊¹⁺⁴	φ: trivial image	88	4	(D4xC11):13C2^2	352,192

Non-split extensions G=N.Q with N=D₄×C₁₁ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₁₁).₁C₂² = D₈⋊₃D₁₁	φ: C₂²/C₁ → C₂² ⊆ Out D₄×C₁₁	176	4-	(D4xC11).1C2^2	352,107
(D₄×C₁₁).₂C₂² = SD₁₆×D₁₁	φ: C₂²/C₁ → C₂² ⊆ Out D₄×C₁₁	88	4	(D4xC11).2C2^2	352,108
(D₄×C₁₁).₃C₂² = D₈₈⋊C₂	φ: C₂²/C₁ → C₂² ⊆ Out D₄×C₁₁	88	4+	(D4xC11).3C2^2	352,109
(D₄×C₁₁).₄C₂² = D₄.D₂₂	φ: C₂²/C₁ → C₂² ⊆ Out D₄×C₁₁	176	4-	(D4xC11).4C2^2	352,110
(D₄×C₁₁).₅C₂² = Q₈.D₂₂	φ: C₂²/C₁ → C₂² ⊆ Out D₄×C₁₁	176	4	(D4xC11).5C2^2	352,111
(D₄×C₁₁).₆C₂² = D₄₄⋊₆C₂²	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₁₁	88	4	(D4xC11).6C2^2	352,127
(D₄×C₁₁).₇C₂² = C₂×D₄.D₁₁	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₁₁	176		(D4xC11).7C2^2	352,128
(D₄×C₁₁).₈C₂² = D₄.₈D₂₂	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₁₁	176	4	(D4xC11).8C2^2	352,145
(D₄×C₁₁).₉C₂² = D₄.₉D₂₂	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₁₁	176	4-	(D4xC11).9C2^2	352,146
(D₄×C₁₁).₁₀C₂² = D₄.₁₀D₂₂	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₁₁	176	4-	(D4xC11).10C2^2	352,185
(D₄×C₁₁).₁₁C₂² = SD₁₆×C₂₂	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₁₁	176		(D4xC11).11C2^2	352,168
(D₄×C₁₁).₁₂C₂² = C₁₁×C₄○D₈	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₁₁	176	2	(D4xC11).12C2^2	352,170
(D₄×C₁₁).₁₃C₂² = C₁₁×C₈.C₂²	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₁₁	176	4	(D4xC11).13C2^2	352,172
(D₄×C₁₁).₁₄C₂² = C₁₁×2_-¹⁺⁴	φ: trivial image	176	4	(D4xC11).14C2^2	352,193

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁