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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₂₂)⋊C₂² = D₄×D₁₁	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₂	44	4+	(C2xC22):C2^2	176,31
(C₂×C₂₂)⋊₂C₂² = D₄×C₂₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₂	88		(C2xC22):2C2^2	176,38
(C₂×C₂₂)⋊₃C₂² = C₂×C₁₁⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₂	88		(C2xC22):3C2^2	176,36
(C₂×C₂₂)⋊₄C₂² = C₂³×D₁₁	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₂	88		(C2xC22):4C2^2	176,41

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₂₂).C₂² = D₄⋊₂D₁₁	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₂	88	4-	(C2xC22).C2^2	176,32
(C₂×C₂₂).₂C₂² = C₁₁×C₄○D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₂	88	2	(C2xC22).2C2^2	176,40
(C₂×C₂₂).₃C₂² = C₄×Dic₁₁	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₂	176		(C2xC22).3C2^2	176,10
(C₂×C₂₂).₄C₂² = Dic₁₁⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₂	176		(C2xC22).4C2^2	176,11
(C₂×C₂₂).₅C₂² = C₄₄⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₂	176		(C2xC22).5C2^2	176,12
(C₂×C₂₂).₆C₂² = D₂₂⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₂	88		(C2xC22).6C2^2	176,13
(C₂×C₂₂).₇C₂² = C₂³.D₁₁	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₂	88		(C2xC22).7C2^2	176,18
(C₂×C₂₂).₈C₂² = C₂×Dic₂₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₂	176		(C2xC22).8C2^2	176,27
(C₂×C₂₂).₉C₂² = C₂×C₄×D₁₁	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₂	88		(C2xC22).9C2^2	176,28
(C₂×C₂₂).₁₀C₂² = C₂×D₄₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₂	88		(C2xC22).10C2^2	176,29
(C₂×C₂₂).₁₁C₂² = D₄₄⋊₅C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₂	88	2	(C2xC22).11C2^2	176,30
(C₂×C₂₂).₁₂C₂² = C₂²×Dic₁₁	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₂	176		(C2xC22).12C2^2	176,35
(C₂×C₂₂).₁₃C₂² = C₁₁×C₂²⋊C₄	central extension (φ=1)	88		(C2xC22).13C2^2	176,20
(C₂×C₂₂).₁₄C₂² = C₁₁×C₄⋊C₄	central extension (φ=1)	176		(C2xC22).14C2^2	176,21
(C₂×C₂₂).₁₅C₂² = Q₈×C₂₂	central extension (φ=1)	176		(C2xC22).15C2^2	176,39

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁