Extensions 1→N→G→Q→1 with N=C₅ and Q=C₃²⋊₂C₈

Direct product G=N×Q with N=C₅ and Q=C₃²⋊₂C₈

		d	ρ	Label	ID
C₅×C₃²⋊₂C₈		120	4	C5xC3^2:2C8	360,55

Semidirect products G=N:Q with N=C₅ and Q=C₃²⋊₂C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₃²⋊₂C₈) = (C₃×C₆).F₅	φ: C₃²⋊₂C₈/C₃×C₆ → C₄ ⊆ Aut C₅	120	4-	C5:(C3^2:2C8)	360,57
C₅⋊₂(C₃²⋊₂C₈) = (C₃×C₁₅)⋊₉C₈	φ: C₃²⋊₂C₈/C₃⋊Dic₃ → C₂ ⊆ Aut C₅	120	4	C5:2(C3^2:2C8)	360,56

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁