Extensions 1→N→G→Q→1 with N=C₂×C₈ and Q=C₂₂

Direct product G=N×Q with N=C₂×C₈ and Q=C₂₂

		d	ρ	Label	ID
C₂²×C₈₈		352		C2^2xC88	352,164

Semidirect products G=N:Q with N=C₂×C₈ and Q=C₂₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₈)⋊₁C₂₂ = C₁₁×C₂²⋊C₈	φ: C₂₂/C₁₁ → C₂ ⊆ Aut C₂×C₈	176		(C2xC8):1C22	352,47
(C₂×C₈)⋊₂C₂₂ = C₁₁×D₄⋊C₄	φ: C₂₂/C₁₁ → C₂ ⊆ Aut C₂×C₈	176		(C2xC8):2C22	352,51
(C₂×C₈)⋊₃C₂₂ = D₈×C₂₂	φ: C₂₂/C₁₁ → C₂ ⊆ Aut C₂×C₈	176		(C2xC8):3C22	352,167
(C₂×C₈)⋊₄C₂₂ = C₁₁×C₄○D₈	φ: C₂₂/C₁₁ → C₂ ⊆ Aut C₂×C₈	176	2	(C2xC8):4C22	352,170
(C₂×C₈)⋊₅C₂₂ = SD₁₆×C₂₂	φ: C₂₂/C₁₁ → C₂ ⊆ Aut C₂×C₈	176		(C2xC8):5C22	352,168
(C₂×C₈)⋊₆C₂₂ = M₄(2)×C₂₂	φ: C₂₂/C₁₁ → C₂ ⊆ Aut C₂×C₈	176		(C2xC8):6C22	352,165
(C₂×C₈)⋊₇C₂₂ = C₁₁×C₈○D₄	φ: C₂₂/C₁₁ → C₂ ⊆ Aut C₂×C₈	176	2	(C2xC8):7C22	352,166

Non-split extensions G=N.Q with N=C₂×C₈ and Q=C₂₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₈).₁C₂₂ = C₁₁×Q₈⋊C₄	φ: C₂₂/C₁₁ → C₂ ⊆ Aut C₂×C₈	352		(C2xC8).1C22	352,52
(C₂×C₈).₂C₂₂ = C₁₁×C₄⋊C₈	φ: C₂₂/C₁₁ → C₂ ⊆ Aut C₂×C₈	352		(C2xC8).2C22	352,54
(C₂×C₈).₃C₂₂ = C₁₁×C₂.D₈	φ: C₂₂/C₁₁ → C₂ ⊆ Aut C₂×C₈	352		(C2xC8).3C22	352,56
(C₂×C₈).₄C₂₂ = Q₁₆×C₂₂	φ: C₂₂/C₁₁ → C₂ ⊆ Aut C₂×C₈	352		(C2xC8).4C22	352,169
(C₂×C₈).₅C₂₂ = C₁₁×C₈.C₄	φ: C₂₂/C₁₁ → C₂ ⊆ Aut C₂×C₈	176	2	(C2xC8).5C22	352,57
(C₂×C₈).₆C₂₂ = C₁₁×C₄.Q₈	φ: C₂₂/C₁₁ → C₂ ⊆ Aut C₂×C₈	352		(C2xC8).6C22	352,55
(C₂×C₈).₇C₂₂ = C₁₁×C₈⋊C₄	φ: C₂₂/C₁₁ → C₂ ⊆ Aut C₂×C₈	352		(C2xC8).7C22	352,46
(C₂×C₈).₈C₂₂ = C₁₁×M₅(2)	φ: C₂₂/C₁₁ → C₂ ⊆ Aut C₂×C₈	176	2	(C2xC8).8C22	352,59

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁