Extensions 1→N→G→Q→1 with N=C₅₃ and Q=D₄

Direct product G=N×Q with N=C₅₃ and Q=D₄

		d	ρ	Label	ID
D₄×C₅₃		212	2	D4xC53	424,10

Semidirect products G=N:Q with N=C₅₃ and Q=D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅₃⋊₁D₄ = D₂₁₂	φ: D₄/C₄ → C₂ ⊆ Aut C₅₃	212	2+	C53:1D4	424,6
C₅₃⋊₂D₄ = C₅₃⋊D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₅₃	212	2	C53:2D4	424,8

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁