Extensions 1→N→G→Q→1 with N=C₅ and Q=C₈.C₈

Direct product G=N×Q with N=C₅ and Q=C₈.C₈

		d	ρ	Label	ID
C₅×C₈.C₈		80	2	C5xC8.C8	320,169

Semidirect products G=N:Q with N=C₅ and Q=C₈.C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₈.C₈) = C₄².₉F₅	φ: C₈.C₈/C₄² → C₄ ⊆ Aut C₅	80	4	C5:1(C8.C8)	320,199
C₅⋊₂(C₈.C₈) = C₄₀.₁C₈	φ: C₈.C₈/C₂×C₈ → C₄ ⊆ Aut C₅	80	4	C5:2(C8.C8)	320,227
C₅⋊₃(C₈.C₈) = C₄₀.₇C₈	φ: C₈.C₈/C₄×C₈ → C₂ ⊆ Aut C₅	80	2	C5:3(C8.C8)	320,21
C₅⋊₄(C₈.C₈) = C₄₀.₉Q₈	φ: C₈.C₈/M₅(2) → C₂ ⊆ Aut C₅	80	4	C5:4(C8.C8)	320,69

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁