Extensions 1→N→G→Q→1 with N=C₃ and Q=D₅×M₄(2)

Direct product G=N×Q with N=C₃ and Q=D₅×M₄(2)

		d	ρ	Label	ID
C₃×D₅×M₄(2)		120	4	C3xD5xM4(2)	480,699

Semidirect products G=N:Q with N=C₃ and Q=D₅×M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₅×M₄(2)) = D₅×C₈⋊S₃	φ: D₅×M₄(2)/C₈×D₅ → C₂ ⊆ Aut C₃	120	4	C3:1(D5xM4(2))	480,320
C₃⋊₂(D₅×M₄(2)) = C₄₀⋊D₆	φ: D₅×M₄(2)/C₈⋊D₅ → C₂ ⊆ Aut C₃	120	4	C3:2(D5xM4(2))	480,322
C₃⋊₃(D₅×M₄(2)) = D₁₅⋊₄M₄(2)	φ: D₅×M₄(2)/C₄.Dic₅ → C₂ ⊆ Aut C₃	120	4	C3:3(D5xM4(2))	480,368
C₃⋊₄(D₅×M₄(2)) = M₄(2)×D₁₅	φ: D₅×M₄(2)/C₅×M₄(2) → C₂ ⊆ Aut C₃	120	4	C3:4(D5xM4(2))	480,871
C₃⋊₅(D₅×M₄(2)) = D₅×C₄.Dic₃	φ: D₅×M₄(2)/C₂×C₄×D₅ → C₂ ⊆ Aut C₃	120	4	C3:5(D5xM4(2))	480,358

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁