Extensions 1→N→G→Q→1 with N=C₃ and Q=C₉×C₄○D₄

Direct product G=N×Q with N=C₃ and Q=C₉×C₄○D₄

		d	ρ	Label	ID
C₄○D₄×C₃×C₉		216		C4oD4xC3xC9	432,409

Semidirect products G=N:Q with N=C₃ and Q=C₉×C₄○D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₉×C₄○D₄) = C₉×C₄○D₁₂	φ: C₉×C₄○D₄/C₂×C₃₆ → C₂ ⊆ Aut C₃	72	2	C3:1(C9xC4oD4)	432,347
C₃⋊₂(C₉×C₄○D₄) = C₉×D₄⋊₂S₃	φ: C₉×C₄○D₄/D₄×C₉ → C₂ ⊆ Aut C₃	72	4	C3:2(C9xC4oD4)	432,359
C₃⋊₃(C₉×C₄○D₄) = C₉×Q₈⋊₃S₃	φ: C₉×C₄○D₄/Q₈×C₉ → C₂ ⊆ Aut C₃	144	4	C3:3(C9xC4oD4)	432,367

Non-split extensions G=N.Q with N=C₃ and Q=C₉×C₄○D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₉×C₄○D₄) = C₄○D₄×C₂₇	central extension (φ=1)	216	2	C3.(C9xC4oD4)	432,56

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C3 and Q=C9×C4○D4