Extensions 1→N→G→Q→1 with N=C₄ and Q=C₂×Dic₁₁

Direct product G=N×Q with N=C₄ and Q=C₂×Dic₁₁

		d	ρ	Label	ID
C₂×C₄×Dic₁₁		352		C2xC4xDic11	352,117

Semidirect products G=N:Q with N=C₄ and Q=C₂×Dic₁₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊₁(C₂×Dic₁₁) = D₄×Dic₁₁	φ: C₂×Dic₁₁/Dic₁₁ → C₂ ⊆ Aut C₄	176		C4:1(C2xDic11)	352,129
C₄⋊₂(C₂×Dic₁₁) = C₂×C₄₄⋊C₄	φ: C₂×Dic₁₁/C₂×C₂₂ → C₂ ⊆ Aut C₄	352		C4:2(C2xDic11)	352,120

Non-split extensions G=N.Q with N=C₄ and Q=C₂×Dic₁₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₂×Dic₁₁) = D₄⋊Dic₁₁	φ: C₂×Dic₁₁/Dic₁₁ → C₂ ⊆ Aut C₄	176		C4.1(C2xDic11)	352,38
C₄.₂(C₂×Dic₁₁) = Q₈⋊Dic₁₁	φ: C₂×Dic₁₁/Dic₁₁ → C₂ ⊆ Aut C₄	352		C4.2(C2xDic11)	352,41
C₄.₃(C₂×Dic₁₁) = C₄₄.₅₆D₄	φ: C₂×Dic₁₁/Dic₁₁ → C₂ ⊆ Aut C₄	88	4	C4.3(C2xDic11)	352,43
C₄.₄(C₂×Dic₁₁) = Q₈×Dic₁₁	φ: C₂×Dic₁₁/Dic₁₁ → C₂ ⊆ Aut C₄	352		C4.4(C2xDic11)	352,140
C₄.₅(C₂×Dic₁₁) = Q₈.Dic₁₁	φ: C₂×Dic₁₁/Dic₁₁ → C₂ ⊆ Aut C₄	176	4	C4.5(C2xDic11)	352,143
C₄.₆(C₂×Dic₁₁) = C₄₄.₄Q₈	φ: C₂×Dic₁₁/C₂×C₂₂ → C₂ ⊆ Aut C₄	352		C4.6(C2xDic11)	352,23
C₄.₇(C₂×Dic₁₁) = C₄₄.₅Q₈	φ: C₂×Dic₁₁/C₂×C₂₂ → C₂ ⊆ Aut C₄	352		C4.7(C2xDic11)	352,24
C₄.₈(C₂×Dic₁₁) = C₈₈.C₄	φ: C₂×Dic₁₁/C₂×C₂₂ → C₂ ⊆ Aut C₄	176	2	C4.8(C2xDic11)	352,25
C₄.₉(C₂×Dic₁₁) = C₂×C₄₄.C₄	φ: C₂×Dic₁₁/C₂×C₂₂ → C₂ ⊆ Aut C₄	176		C4.9(C2xDic11)	352,116
C₄.₁₀(C₂×Dic₁₁) = C₂×C₁₁⋊C₁₆	central extension (φ=1)	352		C4.10(C2xDic11)	352,17
C₄.₁₁(C₂×Dic₁₁) = C₄₄.C₈	central extension (φ=1)	176	2	C4.11(C2xDic11)	352,18
C₄.₁₂(C₂×Dic₁₁) = C₈×Dic₁₁	central extension (φ=1)	352		C4.12(C2xDic11)	352,19
C₄.₁₃(C₂×Dic₁₁) = C₈₈⋊C₄	central extension (φ=1)	352		C4.13(C2xDic11)	352,21
C₄.₁₄(C₂×Dic₁₁) = C₂²×C₁₁⋊C₈	central extension (φ=1)	352		C4.14(C2xDic11)	352,115
C₄.₁₅(C₂×Dic₁₁) = C₂³.₂₁D₂₂	central extension (φ=1)	176		C4.15(C2xDic11)	352,121

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁