Extensions 1→N→G→Q→1 with N=C₈ and Q=D₂₂

Direct product G=N×Q with N=C₈ and Q=D₂₂

		d	ρ	Label	ID
C₂×C₈×D₁₁		176		C2xC8xD11	352,94

Semidirect products G=N:Q with N=C₈ and Q=D₂₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊₁D₂₂ = C₈⋊D₂₂	φ: D₂₂/C₁₁ → C₂² ⊆ Aut C₈	88	4+	C8:1D22	352,103
C₈⋊₂D₂₂ = D₄⋊D₂₂	φ: D₂₂/C₁₁ → C₂² ⊆ Aut C₈	88	4	C8:2D22	352,106
C₈⋊₃D₂₂ = D₈₈⋊C₂	φ: D₂₂/C₁₁ → C₂² ⊆ Aut C₈	88	4+	C8:3D22	352,109
C₈⋊₄D₂₂ = D₈×D₁₁	φ: D₂₂/D₁₁ → C₂ ⊆ Aut C₈	88	4+	C8:4D22	352,105
C₈⋊₅D₂₂ = SD₁₆×D₁₁	φ: D₂₂/D₁₁ → C₂ ⊆ Aut C₈	88	4	C8:5D22	352,108
C₈⋊₆D₂₂ = M₄(2)×D₁₁	φ: D₂₂/D₁₁ → C₂ ⊆ Aut C₈	88	4	C8:6D22	352,101
C₈⋊₇D₂₂ = C₂×D₈₈	φ: D₂₂/C₂₂ → C₂ ⊆ Aut C₈	176		C8:7D22	352,98
C₈⋊₈D₂₂ = C₂×C₈⋊D₁₁	φ: D₂₂/C₂₂ → C₂ ⊆ Aut C₈	176		C8:8D22	352,97
C₈⋊₉D₂₂ = C₂×C₈₈⋊C₂	φ: D₂₂/C₂₂ → C₂ ⊆ Aut C₈	176		C8:9D22	352,95

Non-split extensions G=N.Q with N=C₈ and Q=D₂₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁D₂₂ = C₈.D₂₂	φ: D₂₂/C₁₁ → C₂² ⊆ Aut C₈	176	4-	C8.1D22	352,104
C₈.₂D₂₂ = D₄.D₂₂	φ: D₂₂/C₁₁ → C₂² ⊆ Aut C₈	176	4-	C8.2D22	352,110
C₈.₃D₂₂ = Q₁₆⋊D₁₁	φ: D₂₂/C₁₁ → C₂² ⊆ Aut C₈	176	4	C8.3D22	352,113
C₈.₄D₂₂ = C₁₁⋊D₁₆	φ: D₂₂/D₁₁ → C₂ ⊆ Aut C₈	176	4+	C8.4D22	352,32
C₈.₅D₂₂ = D₈.D₁₁	φ: D₂₂/D₁₁ → C₂ ⊆ Aut C₈	176	4-	C8.5D22	352,33
C₈.₆D₂₂ = C₈.₆D₂₂	φ: D₂₂/D₁₁ → C₂ ⊆ Aut C₈	176	4+	C8.6D22	352,34
C₈.₇D₂₂ = C₁₁⋊Q₃₂	φ: D₂₂/D₁₁ → C₂ ⊆ Aut C₈	352	4-	C8.7D22	352,35
C₈.₈D₂₂ = D₈⋊₃D₁₁	φ: D₂₂/D₁₁ → C₂ ⊆ Aut C₈	176	4-	C8.8D22	352,107
C₈.₉D₂₂ = Q₁₆×D₁₁	φ: D₂₂/D₁₁ → C₂ ⊆ Aut C₈	176	4-	C8.9D22	352,112
C₈.₁₀D₂₂ = D₈₈⋊₅C₂	φ: D₂₂/D₁₁ → C₂ ⊆ Aut C₈	176	4+	C8.10D22	352,114
C₈.₁₁D₂₂ = Q₈.D₂₂	φ: D₂₂/D₁₁ → C₂ ⊆ Aut C₈	176	4	C8.11D22	352,111
C₈.₁₂D₂₂ = D₄₄.C₄	φ: D₂₂/D₁₁ → C₂ ⊆ Aut C₈	176	4	C8.12D22	352,102
C₈.₁₃D₂₂ = D₁₇₆	φ: D₂₂/C₂₂ → C₂ ⊆ Aut C₈	176	2+	C8.13D22	352,5
C₈.₁₄D₂₂ = C₁₇₆⋊C₂	φ: D₂₂/C₂₂ → C₂ ⊆ Aut C₈	176	2	C8.14D22	352,6
C₈.₁₅D₂₂ = Dic₈₈	φ: D₂₂/C₂₂ → C₂ ⊆ Aut C₈	352	2-	C8.15D22	352,7
C₈.₁₆D₂₂ = C₂×Dic₄₄	φ: D₂₂/C₂₂ → C₂ ⊆ Aut C₈	352		C8.16D22	352,100
C₈.₁₇D₂₂ = D₈₈⋊₇C₂	φ: D₂₂/C₂₂ → C₂ ⊆ Aut C₈	176	2	C8.17D22	352,99
C₈.₁₈D₂₂ = D₄₄.₂C₄	φ: D₂₂/C₂₂ → C₂ ⊆ Aut C₈	176	2	C8.18D22	352,96
C₈.₁₉D₂₂ = C₁₆×D₁₁	central extension (φ=1)	176	2	C8.19D22	352,3
C₈.₂₀D₂₂ = D₂₂.C₈	central extension (φ=1)	176	2	C8.20D22	352,4
C₈.₂₁D₂₂ = C₂×C₁₁⋊C₁₆	central extension (φ=1)	352		C8.21D22	352,17
C₈.₂₂D₂₂ = C₄₄.C₈	central extension (φ=1)	176	2	C8.22D22	352,18

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Extensions 1→N→G→Q→1 with N=C8 and Q=D22

Extensions 1→N→G→Q→1 with N=C₈ and Q=D₂₂