Extensions 1→N→G→Q→1 with N=C₂² and Q=C₅×C₃⋊S₃

Direct product G=N×Q with N=C₂² and Q=C₅×C₃⋊S₃

		d	ρ	Label	ID
C₃⋊S₃×C₂×C₁₀		180		C3:S3xC2xC10	360,160

Semidirect products G=N:Q with N=C₂² and Q=C₅×C₃⋊S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₅×C₃⋊S₃) = C₅×C₃⋊S₄	φ: C₅×C₃⋊S₃/C₁₅ → S₃ ⊆ Aut C₂²	60	6	C2^2:(C5xC3:S3)	360,140
C₂²⋊₂(C₅×C₃⋊S₃) = C₅×C₃²⋊₇D₄	φ: C₅×C₃⋊S₃/C₃×C₁₅ → C₂ ⊆ Aut C₂²	180		C2^2:2(C5xC3:S3)	360,109

Non-split extensions G=N.Q with N=C₂² and Q=C₅×C₃⋊S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₅×C₃⋊S₃) = C₁₀×C₃⋊Dic₃	central extension (φ=1)	360		C2^2.(C5xC3:S3)	360,108

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C22 and Q=C5×C3⋊S3