Extensions 1→N→G→Q→1 with N=C₄×D₁₁ and Q=C₂²

Direct product G=N×Q with N=C₄×D₁₁ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₄×D₁₁		176		C2^2xC4xD11	352,174

Semidirect products G=N:Q with N=C₄×D₁₁ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₁₁)⋊₁C₂² = D₄⋊₆D₂₂	φ: C₂²/C₁ → C₂² ⊆ Out C₄×D₁₁	88	4	(C4xD11):1C2^2	352,179
(C₄×D₁₁)⋊₂C₂² = D₄⋊₈D₂₂	φ: C₂²/C₁ → C₂² ⊆ Out C₄×D₁₁	88	4+	(C4xD11):2C2^2	352,184
(C₄×D₁₁)⋊₃C₂² = C₂×D₄×D₁₁	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₁₁	88		(C4xD11):3C2^2	352,177
(C₄×D₁₁)⋊₄C₂² = C₂×D₄⋊₂D₁₁	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₁₁	176		(C4xD11):4C2^2	352,178
(C₄×D₁₁)⋊₅C₂² = C₂×D₄₄⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₁₁	176		(C4xD11):5C2^2	352,181
(C₄×D₁₁)⋊₆C₂² = C₂×D₄₄⋊₅C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₁₁	176		(C4xD11):6C2^2	352,176
(C₄×D₁₁)⋊₇C₂² = C₄○D₄×D₁₁	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₁₁	88	4	(C4xD11):7C2^2	352,183

Non-split extensions G=N.Q with N=C₄×D₁₁ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₁₁).₁C₂² = D₄⋊D₂₂	φ: C₂²/C₁ → C₂² ⊆ Out C₄×D₁₁	88	4	(C4xD11).1C2^2	352,106
(C₄×D₁₁).₂C₂² = D₈₈⋊C₂	φ: C₂²/C₁ → C₂² ⊆ Out C₄×D₁₁	88	4+	(C4xD11).2C2^2	352,109
(C₄×D₁₁).₃C₂² = D₄.D₂₂	φ: C₂²/C₁ → C₂² ⊆ Out C₄×D₁₁	176	4-	(C4xD11).3C2^2	352,110
(C₄×D₁₁).₄C₂² = Q₁₆⋊D₁₁	φ: C₂²/C₁ → C₂² ⊆ Out C₄×D₁₁	176	4	(C4xD11).4C2^2	352,113
(C₄×D₁₁).₅C₂² = Q₈.₁₀D₂₂	φ: C₂²/C₁ → C₂² ⊆ Out C₄×D₁₁	176	4	(C4xD11).5C2^2	352,182
(C₄×D₁₁).₆C₂² = D₄.₁₀D₂₂	φ: C₂²/C₁ → C₂² ⊆ Out C₄×D₁₁	176	4-	(C4xD11).6C2^2	352,185
(C₄×D₁₁).₇C₂² = D₈×D₁₁	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₁₁	88	4+	(C4xD11).7C2^2	352,105
(C₄×D₁₁).₈C₂² = D₈⋊₃D₁₁	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₁₁	176	4-	(C4xD11).8C2^2	352,107
(C₄×D₁₁).₉C₂² = SD₁₆×D₁₁	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₁₁	88	4	(C4xD11).9C2^2	352,108
(C₄×D₁₁).₁₀C₂² = Q₈.D₂₂	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₁₁	176	4	(C4xD11).10C2^2	352,111
(C₄×D₁₁).₁₁C₂² = Q₁₆×D₁₁	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₁₁	176	4-	(C4xD11).11C2^2	352,112
(C₄×D₁₁).₁₂C₂² = D₈₈⋊₅C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₁₁	176	4+	(C4xD11).12C2^2	352,114
(C₄×D₁₁).₁₃C₂² = C₂×Q₈×D₁₁	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₁₁	176		(C4xD11).13C2^2	352,180
(C₄×D₁₁).₁₄C₂² = C₂×C₈₈⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₁₁	176		(C4xD11).14C2^2	352,95
(C₄×D₁₁).₁₅C₂² = D₄₄.₂C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₁₁	176	2	(C4xD11).15C2^2	352,96
(C₄×D₁₁).₁₆C₂² = D₄₄.C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₁₁	176	4	(C4xD11).16C2^2	352,102
(C₄×D₁₁).₁₇C₂² = C₂×C₈×D₁₁	φ: trivial image	176		(C4xD11).17C2^2	352,94
(C₄×D₁₁).₁₈C₂² = M₄(2)×D₁₁	φ: trivial image	88	4	(C4xD11).18C2^2	352,101

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁