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

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

		d	ρ	Label	ID
D₅×C₃₀		60	2	D5xC30	300,44

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊(C₅×D₅) = C₁₀×D₁₅	φ: C₅×D₅/C₅² → C₂ ⊆ Aut C₆	60	2	C6:(C5xD5)	300,47

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.(C₅×D₅) = C₅×Dic₁₅	φ: C₅×D₅/C₅² → C₂ ⊆ Aut C₆	60	2	C6.(C5xD5)	300,19
C₆.₂(C₅×D₅) = C₁₅×Dic₅	central extension (φ=1)	60	2	C6.2(C5xD5)	300,16

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