Extensions 1→N→G→Q→1 with N=D₅ and Q=C₈⋊S₃

Direct product G=N×Q with N=D₅ and Q=C₈⋊S₃

		d	ρ	Label	ID
D₅×C₈⋊S₃		120	4	D5xC8:S3	480,320

Semidirect products G=N:Q with N=D₅ and Q=C₈⋊S₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₅⋊(C₈⋊S₃) = C₅⋊C₈⋊D₆	φ: C₈⋊S₃/C₄×S₃ → C₂ ⊆ Out D₅	120	8	D5:(C8:S3)	480,993

Non-split extensions G=N.Q with N=D₅ and Q=C₈⋊S₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₅.₁(C₈⋊S₃) = C₃₀.₄C₄²	φ: C₈⋊S₃/C₃⋊C₈ → C₂ ⊆ Out D₅	120	8	D5.1(C8:S3)	480,226
D₅.₂(C₈⋊S₃) = C₂₄⋊F₅	φ: C₈⋊S₃/C₂₄ → C₂ ⊆ Out D₅	120	4	D5.2(C8:S3)	480,297

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Extensions 1→N→G→Q→1 with N=D5 and Q=C8⋊S3