Extensions 1→N→G→Q→1 with N=C₉ and Q=C₆×Q₈

Direct product G=N×Q with N=C₉ and Q=C₆×Q₈

		d	ρ	Label	ID
Q₈×C₃×C₁₈		432		Q8xC3xC18	432,406

Semidirect products G=N:Q with N=C₉ and Q=C₆×Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉⋊₁(C₆×Q₈) = C₂×C₃₆.C₆	φ: C₆×Q₈/C₂×C₄ → C₆ ⊆ Aut C₉	144		C9:1(C6xQ8)	432,352
C₉⋊₂(C₆×Q₈) = Q₈×C₉⋊C₆	φ: C₆×Q₈/Q₈ → C₆ ⊆ Aut C₉	72	12-	C9:2(C6xQ8)	432,370
C₉⋊₃(C₆×Q₈) = C₂×Q₈×3_-¹⁺²	φ: C₆×Q₈/C₂×Q₈ → C₃ ⊆ Aut C₉	144		C9:3(C6xQ8)	432,408
C₉⋊₄(C₆×Q₈) = C₆×Dic₁₈	φ: C₆×Q₈/C₂×C₁₂ → C₂ ⊆ Aut C₉	144		C9:4(C6xQ8)	432,340
C₉⋊₅(C₆×Q₈) = C₃×Q₈×D₉	φ: C₆×Q₈/C₃×Q₈ → C₂ ⊆ Aut C₉	144	4	C9:5(C6xQ8)	432,364

Non-split extensions G=N.Q with N=C₉ and Q=C₆×Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.(C₆×Q₈) = Q₈×C₅₄	central extension (φ=1)	432		C9.(C6xQ8)	432,55

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁