Extensions 1→N→G→Q→1 with N=C₂²×C₂₂ and Q=C₂

Direct product G=N×Q with N=C₂²×C₂₂ and Q=C₂

		d	ρ	Label	ID
C₂³×C₂₂		176		C2^3xC22	176,42

Semidirect products G=N:Q with N=C₂²×C₂₂ and Q=C₂

extension	φ:Q→Aut N	d	Label	ID
(C₂²×C₂₂)⋊₁C₂ = D₄×C₂₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₂	88	(C2^2xC22):1C2	176,38
(C₂²×C₂₂)⋊₂C₂ = C₂×C₁₁⋊D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₂	88	(C2^2xC22):2C2	176,36
(C₂²×C₂₂)⋊₃C₂ = C₂³×D₁₁	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₂	88	(C2^2xC22):3C2	176,41

Non-split extensions G=N.Q with N=C₂²×C₂₂ and Q=C₂

extension	φ:Q→Aut N	d	Label	ID
(C₂²×C₂₂).₁C₂ = C₁₁×C₂²⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₂	88	(C2^2xC22).1C2	176,20
(C₂²×C₂₂).₂C₂ = C₂³.D₁₁	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₂	88	(C2^2xC22).2C2	176,18
(C₂²×C₂₂).₃C₂ = C₂²×Dic₁₁	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₂	176	(C2^2xC22).3C2	176,35

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C22×C22 and Q=C2