Extensions 1→N→G→Q→1 with N=C₂₂ and Q=SD₁₆

Direct product G=N×Q with N=C₂₂ and Q=SD₁₆

		d	ρ	Label	ID
SD₁₆×C₂₂		176		SD16xC22	352,168

Semidirect products G=N:Q with N=C₂₂ and Q=SD₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₂⋊₁SD₁₆ = C₂×C₈⋊D₁₁	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₂₂	176		C22:1SD16	352,97
C₂₂⋊₂SD₁₆ = C₂×D₄.D₁₁	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₂₂	176		C22:2SD16	352,128
C₂₂⋊₃SD₁₆ = C₂×Q₈⋊D₁₁	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₂₂	176		C22:3SD16	352,136

Non-split extensions G=N.Q with N=C₂₂ and Q=SD₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₂.₁SD₁₆ = C₄₄.₄₄D₄	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₂₂	352		C22.1SD16	352,22
C₂₂.₂SD₁₆ = C₄₄.₄Q₈	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₂₂	352		C22.2SD16	352,23
C₂₂.₃SD₁₆ = C₂.D₈₈	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₂₂	176		C22.3SD16	352,27
C₂₂.₄SD₁₆ = C₄.Dic₂₂	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₂₂	352		C22.4SD16	352,14
C₂₂.₅SD₁₆ = C₂₂.Q₁₆	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₂₂	352		C22.5SD16	352,16
C₂₂.₆SD₁₆ = D₄⋊Dic₁₁	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₂₂	176		C22.6SD16	352,38
C₂₂.₇SD₁₆ = C₂₂.D₈	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₂₂	176		C22.7SD16	352,15
C₂₂.₈SD₁₆ = Q₈⋊Dic₁₁	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₂₂	352		C22.8SD16	352,41
C₂₂.₉SD₁₆ = C₁₁×D₄⋊C₄	central extension (φ=1)	176		C22.9SD16	352,51
C₂₂.₁₀SD₁₆ = C₁₁×Q₈⋊C₄	central extension (φ=1)	352		C22.10SD16	352,52
C₂₂.₁₁SD₁₆ = C₁₁×C₄.Q₈	central extension (φ=1)	352		C22.11SD16	352,55

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁