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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊(C₂×C₂₂) = C₁₁×C₈⋊C₂²	φ: C₂×C₂₂/C₁₁ → C₂² ⊆ Aut C₈	88	4	C8:(C2xC22)	352,171
C₈⋊₂(C₂×C₂₂) = D₈×C₂₂	φ: C₂×C₂₂/C₂₂ → C₂ ⊆ Aut C₈	176		C8:2(C2xC22)	352,167
C₈⋊₃(C₂×C₂₂) = SD₁₆×C₂₂	φ: C₂×C₂₂/C₂₂ → C₂ ⊆ Aut C₈	176		C8:3(C2xC22)	352,168
C₈⋊₄(C₂×C₂₂) = M₄(2)×C₂₂	φ: C₂×C₂₂/C₂₂ → C₂ ⊆ Aut C₈	176		C8:4(C2xC22)	352,165

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.(C₂×C₂₂) = C₁₁×C₈.C₂²	φ: C₂×C₂₂/C₁₁ → C₂² ⊆ Aut C₈	176	4	C8.(C2xC22)	352,172
C₈.₂(C₂×C₂₂) = C₁₁×D₁₆	φ: C₂×C₂₂/C₂₂ → C₂ ⊆ Aut C₈	176	2	C8.2(C2xC22)	352,60
C₈.₃(C₂×C₂₂) = C₁₁×SD₃₂	φ: C₂×C₂₂/C₂₂ → C₂ ⊆ Aut C₈	176	2	C8.3(C2xC22)	352,61
C₈.₄(C₂×C₂₂) = C₁₁×Q₃₂	φ: C₂×C₂₂/C₂₂ → C₂ ⊆ Aut C₈	352	2	C8.4(C2xC22)	352,62
C₈.₅(C₂×C₂₂) = Q₁₆×C₂₂	φ: C₂×C₂₂/C₂₂ → C₂ ⊆ Aut C₈	352		C8.5(C2xC22)	352,169
C₈.₆(C₂×C₂₂) = C₁₁×C₄○D₈	φ: C₂×C₂₂/C₂₂ → C₂ ⊆ Aut C₈	176	2	C8.6(C2xC22)	352,170
C₈.₇(C₂×C₂₂) = C₁₁×C₈○D₄	φ: C₂×C₂₂/C₂₂ → C₂ ⊆ Aut C₈	176	2	C8.7(C2xC22)	352,166
C₈.₈(C₂×C₂₂) = C₁₁×M₅(2)	central extension (φ=1)	176	2	C8.8(C2xC22)	352,59

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