Extensions 1→N→G→Q→1 with N=C₄ and Q=C₃×D₁₅

Direct product G=N×Q with N=C₄ and Q=C₃×D₁₅

		d	ρ	Label	ID
C₁₂×D₁₅		120	2	C12xD15	360,101

Semidirect products G=N:Q with N=C₄ and Q=C₃×D₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₃×D₁₅) = C₃×D₆₀	φ: C₃×D₁₅/C₃×C₁₅ → C₂ ⊆ Aut C₄	120	2	C4:(C3xD15)	360,102

Non-split extensions G=N.Q with N=C₄ and Q=C₃×D₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₃×D₁₅) = C₃×Dic₃₀	φ: C₃×D₁₅/C₃×C₁₅ → C₂ ⊆ Aut C₄	120	2	C4.(C3xD15)	360,100
C₄.₂(C₃×D₁₅) = C₃×C₁₅⋊₃C₈	central extension (φ=1)	120	2	C4.2(C3xD15)	360,35

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C4 and Q=C3×D15