Extensions 1→N→G→Q→1 with N=Dic₁₁ and Q=C₂²

Direct product G=N×Q with N=Dic₁₁ and Q=C₂²

		d	ρ	Label	ID
C₂²×Dic₁₁		176		C2^2xDic11	176,35

Semidirect products G=N:Q with N=Dic₁₁ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₁⋊₁C₂² = D₄×D₁₁	φ: C₂²/C₂ → C₂ ⊆ Out Dic₁₁	44	4+	Dic11:1C2^2	176,31
Dic₁₁⋊₂C₂² = C₂×C₁₁⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out Dic₁₁	88		Dic11:2C2^2	176,36
Dic₁₁⋊₃C₂² = C₂×C₄×D₁₁	φ: trivial image	88		Dic11:3C2^2	176,28

Non-split extensions G=N.Q with N=Dic₁₁ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₁.₁C₂² = C₂×Dic₂₂	φ: C₂²/C₂ → C₂ ⊆ Out Dic₁₁	176		Dic11.1C2^2	176,27
Dic₁₁.₂C₂² = D₄₄⋊₅C₂	φ: C₂²/C₂ → C₂ ⊆ Out Dic₁₁	88	2	Dic11.2C2^2	176,30
Dic₁₁.₃C₂² = Q₈×D₁₁	φ: C₂²/C₂ → C₂ ⊆ Out Dic₁₁	88	4-	Dic11.3C2^2	176,33
Dic₁₁.₄C₂² = D₄⋊₂D₁₁	φ: trivial image	88	4-	Dic11.4C2^2	176,32
Dic₁₁.₅C₂² = D₄₄⋊C₂	φ: trivial image	88	4+	Dic11.5C2^2	176,34

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁