Extensions 1→N→G→Q→1 with N=C₅⋊D₅ and Q=C₆

Direct product G=N×Q with N=C₅⋊D₅ and Q=C₆

		d	ρ	Label	ID
C₆×C₅⋊D₅		150		C6xC5:D5	300,45

Semidirect products G=N:Q with N=C₅⋊D₅ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊D₅⋊C₆ = C₂×C₅²⋊C₆	φ: C₆/C₂ → C₃ ⊆ Out C₅⋊D₅	30	6+	C5:D5:C6	300,27
C₅⋊D₅⋊₂C₆ = C₃×D₅²	φ: C₆/C₃ → C₂ ⊆ Out C₅⋊D₅	30	4	C5:D5:2C6	300,36

Non-split extensions G=N.Q with N=C₅⋊D₅ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊D₅.C₆ = C₅²⋊C₁₂	φ: C₆/C₁ → C₆ ⊆ Out C₅⋊D₅	15	12+	C5:D5.C6	300,24
C₅⋊D₅.₂C₆ = C₃×C₅⋊F₅	φ: C₆/C₃ → C₂ ⊆ Out C₅⋊D₅	75		C5:D5.2C6	300,30
C₅⋊D₅.₃C₆ = C₃×C₅²⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out C₅⋊D₅	30	4	C5:D5.3C6	300,31

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Extensions 1→N→G→Q→1 with N=C5⋊D5 and Q=C6