Extensions 1→N→G→Q→1 with N=C₅₅ and Q=D₄

Direct product G=N×Q with N=C₅₅ and Q=D₄

		d	ρ	Label	ID
D₄×C₅₅		220	2	D4xC55	440,40

Semidirect products G=N:Q with N=C₅₅ and Q=D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅₅⋊₁D₄ = C₅₅⋊D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₅₅	220	4-	C55:1D4	440,20
C₅₅⋊₂D₄ = C₅⋊D₄₄	φ: D₄/C₂ → C₂² ⊆ Aut C₅₅	220	4+	C55:2D4	440,21
C₅₅⋊₃D₄ = C₁₁⋊D₂₀	φ: D₄/C₂ → C₂² ⊆ Aut C₅₅	220	4+	C55:3D4	440,22
C₅₅⋊₄D₄ = D₂₂₀	φ: D₄/C₄ → C₂ ⊆ Aut C₅₅	220	2+	C55:4D4	440,36
C₅₅⋊₅D₄ = C₅×D₄₄	φ: D₄/C₄ → C₂ ⊆ Aut C₅₅	220	2	C55:5D4	440,26
C₅₅⋊₆D₄ = C₁₁×D₂₀	φ: D₄/C₄ → C₂ ⊆ Aut C₅₅	220	2	C55:6D4	440,31
C₅₅⋊₇D₄ = C₅₅⋊₇D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₅₅	220	2	C55:7D4	440,38
C₅₅⋊₈D₄ = C₅×C₁₁⋊D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₅₅	220	2	C55:8D4	440,28
C₅₅⋊₉D₄ = C₁₁×C₅⋊D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₅₅	220	2	C55:9D4	440,33

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁