Extensions 1→N→G→Q→1 with N=C₄ and Q=D₅₇

Direct product G=N×Q with N=C₄ and Q=D₅₇

		d	ρ	Label	ID
C₄×D₅₇		228	2	C4xD57	456,35

Semidirect products G=N:Q with N=C₄ and Q=D₅₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊D₅₇ = D₂₂₈	φ: D₅₇/C₅₇ → C₂ ⊆ Aut C₄	228	2+	C4:D57	456,36

Non-split extensions G=N.Q with N=C₄ and Q=D₅₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.D₅₇ = Dic₁₁₄	φ: D₅₇/C₅₇ → C₂ ⊆ Aut C₄	456	2-	C4.D57	456,34
C₄.₂D₅₇ = C₅₇⋊C₈	central extension (φ=1)	456	2	C4.2D57	456,5

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Extensions 1→N→G→Q→1 with N=C4 and Q=D57