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

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

		d	ρ	Label	ID
C₃×D₄×D₉		72	4	C3xD4xD9	432,356

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₄×D₉) = D₉×D₁₂	φ: D₄×D₉/C₄×D₉ → C₂ ⊆ Aut C₃	72	4+	C3:1(D4xD9)	432,292
C₃⋊₂(D₄×D₉) = C₃₆⋊D₆	φ: D₄×D₉/D₃₆ → C₂ ⊆ Aut C₃	72	4	C3:2(D4xD9)	432,293
C₃⋊₃(D₄×D₉) = D₁₈⋊D₆	φ: D₄×D₉/C₉⋊D₄ → C₂ ⊆ Aut C₃	36	4+	C3:3(D4xD9)	432,315
C₃⋊₄(D₄×D₉) = D₄×C₉⋊S₃	φ: D₄×D₉/D₄×C₉ → C₂ ⊆ Aut C₃	108		C3:4(D4xD9)	432,388
C₃⋊₅(D₄×D₉) = D₉×C₃⋊D₄	φ: D₄×D₉/C₂²×D₉ → C₂ ⊆ Aut C₃	72	4	C3:5(D4xD9)	432,314

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(D₄×D₉) = D₄×D₂₇	φ: D₄×D₉/D₄×C₉ → C₂ ⊆ Aut C₃	108	4+	C3.(D4xD9)	432,47

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