Extensions 1→N→G→Q→1 with N=C₃ and Q=D₄⋊₂D₉

Direct product G=N×Q with N=C₃ and Q=D₄⋊₂D₉

		d	ρ	Label	ID
C₃×D₄⋊₂D₉		72	4	C3xD4:2D9	432,357

Semidirect products G=N:Q with N=C₃ and Q=D₄⋊₂D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₄⋊₂D₉) = D₁₂⋊D₉	φ: D₄⋊₂D₉/Dic₁₈ → C₂ ⊆ Aut C₃	72	4	C3:1(D4:2D9)	432,286
C₃⋊₂(D₄⋊₂D₉) = D₁₂⋊₅D₉	φ: D₄⋊₂D₉/C₄×D₉ → C₂ ⊆ Aut C₃	144	4-	C3:2(D4:2D9)	432,285
C₃⋊₃(D₄⋊₂D₉) = Dic₃.D₁₈	φ: D₄⋊₂D₉/C₂×Dic₉ → C₂ ⊆ Aut C₃	72	4	C3:3(D4:2D9)	432,309
C₃⋊₄(D₄⋊₂D₉) = D₁₈.₄D₆	φ: D₄⋊₂D₉/C₉⋊D₄ → C₂ ⊆ Aut C₃	72	4-	C3:4(D4:2D9)	432,310
C₃⋊₅(D₄⋊₂D₉) = C₃₆.₂₇D₆	φ: D₄⋊₂D₉/D₄×C₉ → C₂ ⊆ Aut C₃	216		C3:5(D4:2D9)	432,389

Non-split extensions G=N.Q with N=C₃ and Q=D₄⋊₂D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(D₄⋊₂D₉) = D₄⋊₂D₂₇	φ: D₄⋊₂D₉/D₄×C₉ → C₂ ⊆ Aut C₃	216	4-	C3.(D4:2D9)	432,48

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