Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂×Dic₁₁

Direct product G=N×Q with N=C₂² and Q=C₂×Dic₁₁

		d	ρ	Label	ID
C₂³×Dic₁₁		352		C2^3xDic11	352,186

Semidirect products G=N:Q with N=C₂² and Q=C₂×Dic₁₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁(C₂×Dic₁₁) = D₄×Dic₁₁	φ: C₂×Dic₁₁/Dic₁₁ → C₂ ⊆ Aut C₂²	176		C2^2:1(C2xDic11)	352,129
C₂²⋊₂(C₂×Dic₁₁) = C₂×C₂³.D₁₁	φ: C₂×Dic₁₁/C₂×C₂₂ → C₂ ⊆ Aut C₂²	176		C2^2:2(C2xDic11)	352,147

Non-split extensions G=N.Q with N=C₂² and Q=C₂×Dic₁₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₂×Dic₁₁) = Q₈.Dic₁₁	φ: C₂×Dic₁₁/Dic₁₁ → C₂ ⊆ Aut C₂²	176	4	C2^2.1(C2xDic11)	352,143
C₂².₂(C₂×Dic₁₁) = C₄₄.D₄	φ: C₂×Dic₁₁/C₂×C₂₂ → C₂ ⊆ Aut C₂²	88	4	C2^2.2(C2xDic11)	352,39
C₂².₃(C₂×Dic₁₁) = C₂³⋊Dic₁₁	φ: C₂×Dic₁₁/C₂×C₂₂ → C₂ ⊆ Aut C₂²	88	4	C2^2.3(C2xDic11)	352,40
C₂².₄(C₂×Dic₁₁) = C₄₄.₁₀D₄	φ: C₂×Dic₁₁/C₂×C₂₂ → C₂ ⊆ Aut C₂²	176	4	C2^2.4(C2xDic11)	352,42
C₂².₅(C₂×Dic₁₁) = C₂³.₂₁D₂₂	φ: C₂×Dic₁₁/C₂×C₂₂ → C₂ ⊆ Aut C₂²	176		C2^2.5(C2xDic11)	352,121
C₂².₆(C₂×Dic₁₁) = C₄×C₁₁⋊C₈	central extension (φ=1)	352		C2^2.6(C2xDic11)	352,8
C₂².₇(C₂×Dic₁₁) = C₄².D₁₁	central extension (φ=1)	352		C2^2.7(C2xDic11)	352,9
C₂².₈(C₂×Dic₁₁) = C₄₄⋊C₈	central extension (φ=1)	352		C2^2.8(C2xDic11)	352,10
C₂².₉(C₂×Dic₁₁) = C₄₄.₅₅D₄	central extension (φ=1)	176		C2^2.9(C2xDic11)	352,36
C₂².₁₀(C₂×Dic₁₁) = C₂₂.C₄²	central extension (φ=1)	352		C2^2.10(C2xDic11)	352,37
C₂².₁₁(C₂×Dic₁₁) = C₂²×C₁₁⋊C₈	central extension (φ=1)	352		C2^2.11(C2xDic11)	352,115
C₂².₁₂(C₂×Dic₁₁) = C₂×C₄₄.C₄	central extension (φ=1)	176		C2^2.12(C2xDic11)	352,116
C₂².₁₃(C₂×Dic₁₁) = C₂×C₄×Dic₁₁	central extension (φ=1)	352		C2^2.13(C2xDic11)	352,117
C₂².₁₄(C₂×Dic₁₁) = C₂×C₄₄⋊C₄	central extension (φ=1)	352		C2^2.14(C2xDic11)	352,120

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁