Extensions 1→N→G→Q→1 with N=C₂₂ and Q=C₂xQ₈

Direct product G=NxQ with N=C₂₂ and Q=C₂xQ₈

		d	ρ	Label	ID
Q₈xC₂xC₂₂		352		Q8xC2xC22	352,190

Semidirect products G=N:Q with N=C₂₂ and Q=C₂xQ₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₂:₁(C₂xQ₈) = C₂²xDic₂₂	φ: C₂xQ₈/C₂xC₄ → C₂ ⊆ Aut C₂₂	352		C22:1(C2xQ8)	352,173
C₂₂:₂(C₂xQ₈) = C₂xQ₈xD₁₁	φ: C₂xQ₈/Q₈ → C₂ ⊆ Aut C₂₂	176		C22:2(C2xQ8)	352,180

Non-split extensions G=N.Q with N=C₂₂ and Q=C₂xQ₈

extension	φ:Q→Aut N	d	Label	ID
C₂₂.₁(C₂xQ₈) = C₄xDic₂₂	φ: C₂xQ₈/C₂xC₄ → C₂ ⊆ Aut C₂₂	352	C22.1(C2xQ8)	352,63
C₂₂.₂(C₂xQ₈) = C₄₄:₂Q₈	φ: C₂xQ₈/C₂xC₄ → C₂ ⊆ Aut C₂₂	352	C22.2(C2xQ8)	352,64
C₂₂.₃(C₂xQ₈) = C₄₄.₆Q₈	φ: C₂xQ₈/C₂xC₄ → C₂ ⊆ Aut C₂₂	352	C22.3(C2xQ8)	352,65
C₂₂.₄(C₂xQ₈) = C₂²:Dic₂₂	φ: C₂xQ₈/C₂xC₄ → C₂ ⊆ Aut C₂₂	176	C22.4(C2xQ8)	352,73
C₂₂.₅(C₂xQ₈) = C₄₄:Q₈	φ: C₂xQ₈/C₂xC₄ → C₂ ⊆ Aut C₂₂	352	C22.5(C2xQ8)	352,83
C₂₂.₆(C₂xQ₈) = C₄₄.₃Q₈	φ: C₂xQ₈/C₂xC₄ → C₂ ⊆ Aut C₂₂	352	C22.6(C2xQ8)	352,85
C₂₂.₇(C₂xQ₈) = C₂xDic₁₁:C₄	φ: C₂xQ₈/C₂xC₄ → C₂ ⊆ Aut C₂₂	352	C22.7(C2xQ8)	352,118
C₂₂.₈(C₂xQ₈) = C₄₄.₄₈D₄	φ: C₂xQ₈/C₂xC₄ → C₂ ⊆ Aut C₂₂	176	C22.8(C2xQ8)	352,119
C₂₂.₉(C₂xQ₈) = C₂xC₄₄:C₄	φ: C₂xQ₈/C₂xC₄ → C₂ ⊆ Aut C₂₂	352	C22.9(C2xQ8)	352,120
C₂₂.₁₀(C₂xQ₈) = Dic₂₂:C₄	φ: C₂xQ₈/Q₈ → C₂ ⊆ Aut C₂₂	352	C22.10(C2xQ8)	352,82
C₂₂.₁₁(C₂xQ₈) = Dic₁₁.Q₈	φ: C₂xQ₈/Q₈ → C₂ ⊆ Aut C₂₂	352	C22.11(C2xQ8)	352,84
C₂₂.₁₂(C₂xQ₈) = C₄:C₄xD₁₁	φ: C₂xQ₈/Q₈ → C₂ ⊆ Aut C₂₂	176	C22.12(C2xQ8)	352,86
C₂₂.₁₃(C₂xQ₈) = D₂₂:Q₈	φ: C₂xQ₈/Q₈ → C₂ ⊆ Aut C₂₂	176	C22.13(C2xQ8)	352,91
C₂₂.₁₄(C₂xQ₈) = D₂₂:₂Q₈	φ: C₂xQ₈/Q₈ → C₂ ⊆ Aut C₂₂	176	C22.14(C2xQ8)	352,92
C₂₂.₁₅(C₂xQ₈) = Dic₁₁:Q₈	φ: C₂xQ₈/Q₈ → C₂ ⊆ Aut C₂₂	352	C22.15(C2xQ8)	352,139
C₂₂.₁₆(C₂xQ₈) = Q₈xDic₁₁	φ: C₂xQ₈/Q₈ → C₂ ⊆ Aut C₂₂	352	C22.16(C2xQ8)	352,140
C₂₂.₁₇(C₂xQ₈) = D₂₂:₃Q₈	φ: C₂xQ₈/Q₈ → C₂ ⊆ Aut C₂₂	176	C22.17(C2xQ8)	352,141
C₂₂.₁₈(C₂xQ₈) = C₄:C₄xC₂₂	central extension (φ=1)	352	C22.18(C2xQ8)	352,151
C₂₂.₁₉(C₂xQ₈) = Q₈xC₄₄	central extension (φ=1)	352	C22.19(C2xQ8)	352,154
C₂₂.₂₀(C₂xQ₈) = C₁₁xC₂²:Q₈	central extension (φ=1)	176	C22.20(C2xQ8)	352,157
C₂₂.₂₁(C₂xQ₈) = C₁₁xC₄².C₂	central extension (φ=1)	352	C22.21(C2xQ8)	352,160
C₂₂.₂₂(C₂xQ₈) = C₁₁xC₄:Q₈	central extension (φ=1)	352	C22.22(C2xQ8)	352,163

Extensions 1→N→G→Q→1 with N=C22 and Q=C2xQ8

Extensions 1→N→G→Q→1 with N=C₂₂ and Q=C₂xQ₈