Extensions 1→N→G→Q→1 with N=C₂₂ and Q=M₄(2)

Direct product G=N×Q with N=C₂₂ and Q=M₄(2)

		d	ρ	Label	ID
M₄(2)×C₂₂		176		M4(2)xC22	352,165

Semidirect products G=N:Q with N=C₂₂ and Q=M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₂⋊₁M₄(2) = C₂×C₈₈⋊C₂	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₂₂	176		C22:1M4(2)	352,95
C₂₂⋊₂M₄(2) = C₂×C₄₄.C₄	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₂₂	176		C22:2M4(2)	352,116

Non-split extensions G=N.Q with N=C₂₂ and Q=M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₂.₁M₄(2) = Dic₁₁⋊C₈	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₂₂	352		C22.1M4(2)	352,20
C₂₂.₂M₄(2) = C₈₈⋊C₄	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₂₂	352		C22.2M4(2)	352,21
C₂₂.₃M₄(2) = D₂₂⋊C₈	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₂₂	176		C22.3M4(2)	352,26
C₂₂.₄M₄(2) = C₄².D₁₁	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₂₂	352		C22.4M4(2)	352,9
C₂₂.₅M₄(2) = C₄₄⋊C₈	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₂₂	352		C22.5M4(2)	352,10
C₂₂.₆M₄(2) = C₄₄.₅₅D₄	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₂₂	176		C22.6M4(2)	352,36
C₂₂.₇M₄(2) = C₁₁×C₈⋊C₄	central extension (φ=1)	352		C22.7M4(2)	352,46
C₂₂.₈M₄(2) = C₁₁×C₂²⋊C₈	central extension (φ=1)	176		C22.8M4(2)	352,47
C₂₂.₉M₄(2) = C₁₁×C₄⋊C₈	central extension (φ=1)	352		C22.9M4(2)	352,54

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁