Extensions 1→N→G→Q→1 with N=C₂₂ and Q=C₂⁴

Direct product G=N×Q with N=C₂₂ and Q=C₂⁴

		d	ρ	Label	ID
C₂⁴×C₂₂		352		C2^4xC22	352,195

Semidirect products G=N:Q with N=C₂₂ and Q=C₂⁴

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₂⋊C₂⁴ = C₂⁴×D₁₁	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂₂	176		C22:C2^4	352,194

Non-split extensions G=N.Q with N=C₂₂ and Q=C₂⁴

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₂.₁C₂⁴ = C₂²×Dic₂₂	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂₂	352		C22.1C2^4	352,173
C₂₂.₂C₂⁴ = C₂²×C₄×D₁₁	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂₂	176		C22.2C2^4	352,174
C₂₂.₃C₂⁴ = C₂²×D₄₄	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂₂	176		C22.3C2^4	352,175
C₂₂.₄C₂⁴ = C₂×D₄₄⋊₅C₂	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂₂	176		C22.4C2^4	352,176
C₂₂.₅C₂⁴ = C₂×D₄×D₁₁	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂₂	88		C22.5C2^4	352,177
C₂₂.₆C₂⁴ = C₂×D₄⋊₂D₁₁	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂₂	176		C22.6C2^4	352,178
C₂₂.₇C₂⁴ = D₄⋊₆D₂₂	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂₂	88	4	C22.7C2^4	352,179
C₂₂.₈C₂⁴ = C₂×Q₈×D₁₁	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂₂	176		C22.8C2^4	352,180
C₂₂.₉C₂⁴ = C₂×D₄₄⋊C₂	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂₂	176		C22.9C2^4	352,181
C₂₂.₁₀C₂⁴ = Q₈.₁₀D₂₂	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂₂	176	4	C22.10C2^4	352,182
C₂₂.₁₁C₂⁴ = C₄○D₄×D₁₁	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂₂	88	4	C22.11C2^4	352,183
C₂₂.₁₂C₂⁴ = D₄⋊₈D₂₂	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂₂	88	4+	C22.12C2^4	352,184
C₂₂.₁₃C₂⁴ = D₄.₁₀D₂₂	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂₂	176	4-	C22.13C2^4	352,185
C₂₂.₁₄C₂⁴ = C₂³×Dic₁₁	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂₂	352		C22.14C2^4	352,186
C₂₂.₁₅C₂⁴ = C₂²×C₁₁⋊D₄	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂₂	176		C22.15C2^4	352,187
C₂₂.₁₆C₂⁴ = D₄×C₂×C₂₂	central extension (φ=1)	176		C22.16C2^4	352,189
C₂₂.₁₇C₂⁴ = Q₈×C₂×C₂₂	central extension (φ=1)	352		C22.17C2^4	352,190
C₂₂.₁₈C₂⁴ = C₄○D₄×C₂₂	central extension (φ=1)	176		C22.18C2^4	352,191
C₂₂.₁₉C₂⁴ = C₁₁×2₊¹⁺⁴	central extension (φ=1)	88	4	C22.19C2^4	352,192
C₂₂.₂₀C₂⁴ = C₁₁×2_-¹⁺⁴	central extension (φ=1)	176	4	C22.20C2^4	352,193

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Extensions 1→N→G→Q→1 with N=C22 and Q=C24

Extensions 1→N→G→Q→1 with N=C₂₂ and Q=C₂⁴