Extensions 1→N→G→Q→1 with N=C₃ and Q=C₈.₅Q₈

Direct product G=N×Q with N=C₃ and Q=C₈.₅Q₈

		d	ρ	Label	ID
C₃×C₈.₅Q₈		192		C3xC8.5Q8	192,932

Semidirect products G=N:Q with N=C₃ and Q=C₈.₅Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₈.₅Q₈) = C₂₄.₁₃Q₈	φ: C₈.₅Q₈/C₄×C₈ → C₂ ⊆ Aut C₃	192		C3:1(C8.5Q8)	192,242
C₃⋊₂(C₈.₅Q₈) = C₈.₈Dic₆	φ: C₈.₅Q₈/C₄.Q₈ → C₂ ⊆ Aut C₃	192		C3:2(C8.5Q8)	192,417
C₃⋊₃(C₈.₅Q₈) = C₈.₆Dic₆	φ: C₈.₅Q₈/C₂.D₈ → C₂ ⊆ Aut C₃	192		C3:3(C8.5Q8)	192,437
C₃⋊₄(C₈.₅Q₈) = C₄².₂₁₅D₆	φ: C₈.₅Q₈/C₄².C₂ → C₂ ⊆ Aut C₃	192		C3:4(C8.5Q8)	192,624

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁