Extensions 1→N→G→Q→1 with N=C₄₄ and Q=C₈

Direct product G=N×Q with N=C₄₄ and Q=C₈

		d	ρ	Label	ID
C₄×C₈₈		352		C4xC88	352,45

Semidirect products G=N:Q with N=C₄₄ and Q=C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₄⋊₁C₈ = C₄₄⋊C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₄₄	352		C44:1C8	352,10
C₄₄⋊₂C₈ = C₄×C₁₁⋊C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₄₄	352		C44:2C8	352,8
C₄₄⋊₃C₈ = C₁₁×C₄⋊C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₄₄	352		C44:3C8	352,54

Non-split extensions G=N.Q with N=C₄₄ and Q=C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₄.₁C₈ = C₄₄.C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₄₄	176	2	C44.1C8	352,18
C₄₄.₂C₈ = C₁₁⋊C₃₂	φ: C₈/C₄ → C₂ ⊆ Aut C₄₄	352	2	C44.2C8	352,1
C₄₄.₃C₈ = C₂×C₁₁⋊C₁₆	φ: C₈/C₄ → C₂ ⊆ Aut C₄₄	352		C44.3C8	352,17
C₄₄.₄C₈ = C₁₁×M₅(2)	φ: C₈/C₄ → C₂ ⊆ Aut C₄₄	176	2	C44.4C8	352,59

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