Extensions 1→N→G→Q→1 with N=C₂₂ and Q=D₈

Direct product G=N×Q with N=C₂₂ and Q=D₈

		d	ρ	Label	ID
D₈×C₂₂		176		D8xC22	352,167

Semidirect products G=N:Q with N=C₂₂ and Q=D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₂⋊₁D₈ = C₂×D₈₈	φ: D₈/C₈ → C₂ ⊆ Aut C₂₂	176		C22:1D8	352,98
C₂₂⋊₂D₈ = C₂×D₄⋊D₁₁	φ: D₈/D₄ → C₂ ⊆ Aut C₂₂	176		C22:2D8	352,126

Non-split extensions G=N.Q with N=C₂₂ and Q=D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₂.₁D₈ = D₁₇₆	φ: D₈/C₈ → C₂ ⊆ Aut C₂₂	176	2+	C22.1D8	352,5
C₂₂.₂D₈ = C₁₇₆⋊C₂	φ: D₈/C₈ → C₂ ⊆ Aut C₂₂	176	2	C22.2D8	352,6
C₂₂.₃D₈ = Dic₈₈	φ: D₈/C₈ → C₂ ⊆ Aut C₂₂	352	2-	C22.3D8	352,7
C₂₂.₄D₈ = C₄₄.₅Q₈	φ: D₈/C₈ → C₂ ⊆ Aut C₂₂	352		C22.4D8	352,24
C₂₂.₅D₈ = C₂.D₈₈	φ: D₈/C₈ → C₂ ⊆ Aut C₂₂	176		C22.5D8	352,27
C₂₂.₆D₈ = C₄₄.Q₈	φ: D₈/D₄ → C₂ ⊆ Aut C₂₂	352		C22.6D8	352,13
C₂₂.₇D₈ = C₂₂.D₈	φ: D₈/D₄ → C₂ ⊆ Aut C₂₂	176		C22.7D8	352,15
C₂₂.₈D₈ = C₁₁⋊D₁₆	φ: D₈/D₄ → C₂ ⊆ Aut C₂₂	176	4+	C22.8D8	352,32
C₂₂.₉D₈ = D₈.D₁₁	φ: D₈/D₄ → C₂ ⊆ Aut C₂₂	176	4-	C22.9D8	352,33
C₂₂.₁₀D₈ = C₈.₆D₂₂	φ: D₈/D₄ → C₂ ⊆ Aut C₂₂	176	4+	C22.10D8	352,34
C₂₂.₁₁D₈ = C₁₁⋊Q₃₂	φ: D₈/D₄ → C₂ ⊆ Aut C₂₂	352	4-	C22.11D8	352,35
C₂₂.₁₂D₈ = D₄⋊Dic₁₁	φ: D₈/D₄ → C₂ ⊆ Aut C₂₂	176		C22.12D8	352,38
C₂₂.₁₃D₈ = C₁₁×D₄⋊C₄	central extension (φ=1)	176		C22.13D8	352,51
C₂₂.₁₄D₈ = C₁₁×C₂.D₈	central extension (φ=1)	352		C22.14D8	352,56
C₂₂.₁₅D₈ = C₁₁×D₁₆	central extension (φ=1)	176	2	C22.15D8	352,60
C₂₂.₁₆D₈ = C₁₁×SD₃₂	central extension (φ=1)	176	2	C22.16D8	352,61
C₂₂.₁₇D₈ = C₁₁×Q₃₂	central extension (φ=1)	352	2	C22.17D8	352,62

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