Extensions 1→N→G→Q→1 with N=C₅₇ and Q=D₄

Direct product G=N×Q with N=C₅₇ and Q=D₄

		d	ρ	Label	ID
D₄×C₅₇		228	2	D4xC57	456,40

Semidirect products G=N:Q with N=C₅₇ and Q=D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅₇⋊₁D₄ = C₅₇⋊D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₅₇	228	4-	C57:1D4	456,15
C₅₇⋊₂D₄ = C₃⋊D₇₆	φ: D₄/C₂ → C₂² ⊆ Aut C₅₇	228	4+	C57:2D4	456,16
C₅₇⋊₃D₄ = C₁₉⋊D₁₂	φ: D₄/C₂ → C₂² ⊆ Aut C₅₇	228	4+	C57:3D4	456,17
C₅₇⋊₄D₄ = D₂₂₈	φ: D₄/C₄ → C₂ ⊆ Aut C₅₇	228	2+	C57:4D4	456,36
C₅₇⋊₅D₄ = C₃×D₇₆	φ: D₄/C₄ → C₂ ⊆ Aut C₅₇	228	2	C57:5D4	456,26
C₅₇⋊₆D₄ = C₁₉×D₁₂	φ: D₄/C₄ → C₂ ⊆ Aut C₅₇	228	2	C57:6D4	456,31
C₅₇⋊₇D₄ = C₅₇⋊₇D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₅₇	228	2	C57:7D4	456,38
C₅₇⋊₈D₄ = C₃×C₁₉⋊D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₅₇	228	2	C57:8D4	456,28
C₅₇⋊₉D₄ = C₁₉×C₃⋊D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₅₇	228	2	C57:9D4	456,33

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁