Extensions 1→N→G→Q→1 with N=Q₈⋊C₉ and Q=C₄

Direct product G=N×Q with N=Q₈⋊C₉ and Q=C₄

		d	ρ	Label	ID
C₄×Q₈⋊C₉		288		C4xQ8:C9	288,72

Semidirect products G=N:Q with N=Q₈⋊C₉ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊C₉⋊₁C₄ = Q₈⋊Dic₉	φ: C₄/C₂ → C₂ ⊆ Out Q₈⋊C₉	288		Q8:C9:1C4	288,69
Q₈⋊C₉⋊₂C₄ = C₁₂.₉S₄	φ: C₄/C₂ → C₂ ⊆ Out Q₈⋊C₉	72	4	Q8:C9:2C4	288,70

Non-split extensions G=N.Q with N=Q₈⋊C₉ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊C₉.C₄ = Q₈.C₃₆	φ: trivial image	144	2	Q8:C9.C4	288,77

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=Q8⋊C9 and Q=C4