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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₉)⋊₁(C₄○D₄) = D₁₈.D₆	φ: C₄○D₄/C₄ → C₂² ⊆ Aut C₃×C₉	72	4	(C3xC9):1(C4oD4)	432,281
(C₃×C₉)⋊₂(C₄○D₄) = Dic₆⋊₅D₉	φ: C₄○D₄/C₄ → C₂² ⊆ Aut C₃×C₉	72	4+	(C3xC9):2(C4oD4)	432,282
(C₃×C₉)⋊₃(C₄○D₄) = D₁₂⋊₅D₉	φ: C₄○D₄/C₄ → C₂² ⊆ Aut C₃×C₉	144	4-	(C3xC9):3(C4oD4)	432,285
(C₃×C₉)⋊₄(C₄○D₄) = D₁₂⋊D₉	φ: C₄○D₄/C₄ → C₂² ⊆ Aut C₃×C₉	72	4	(C3xC9):4(C4oD4)	432,286
(C₃×C₉)⋊₅(C₄○D₄) = D₆.D₁₈	φ: C₄○D₄/C₄ → C₂² ⊆ Aut C₃×C₉	72	4	(C3xC9):5(C4oD4)	432,287
(C₃×C₉)⋊₆(C₄○D₄) = D₃₆⋊₅S₃	φ: C₄○D₄/C₄ → C₂² ⊆ Aut C₃×C₉	144	4-	(C3xC9):6(C4oD4)	432,288
(C₃×C₉)⋊₇(C₄○D₄) = Dic₉.D₆	φ: C₄○D₄/C₄ → C₂² ⊆ Aut C₃×C₉	72	4+	(C3xC9):7(C4oD4)	432,289
(C₃×C₉)⋊₈(C₄○D₄) = D₁₈.₃D₆	φ: C₄○D₄/C₂² → C₂² ⊆ Aut C₃×C₉	72	4	(C3xC9):8(C4oD4)	432,305
(C₃×C₉)⋊₉(C₄○D₄) = Dic₃.D₁₈	φ: C₄○D₄/C₂² → C₂² ⊆ Aut C₃×C₉	72	4	(C3xC9):9(C4oD4)	432,309
(C₃×C₉)⋊₁₀(C₄○D₄) = D₁₈.₄D₆	φ: C₄○D₄/C₂² → C₂² ⊆ Aut C₃×C₉	72	4-	(C3xC9):10(C4oD4)	432,310
(C₃×C₉)⋊₁₁(C₄○D₄) = C₉×C₄○D₁₂	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Aut C₃×C₉	72	2	(C3xC9):11(C4oD4)	432,347
(C₃×C₉)⋊₁₂(C₄○D₄) = C₃×D₃₆⋊₅C₂	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Aut C₃×C₉	72	2	(C3xC9):12(C4oD4)	432,344
(C₃×C₉)⋊₁₃(C₄○D₄) = C₃₆.₇₀D₆	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Aut C₃×C₉	216		(C3xC9):13(C4oD4)	432,383
(C₃×C₉)⋊₁₄(C₄○D₄) = C₉×D₄⋊₂S₃	φ: C₄○D₄/D₄ → C₂ ⊆ Aut C₃×C₉	72	4	(C3xC9):14(C4oD4)	432,359
(C₃×C₉)⋊₁₅(C₄○D₄) = C₃×D₄⋊₂D₉	φ: C₄○D₄/D₄ → C₂ ⊆ Aut C₃×C₉	72	4	(C3xC9):15(C4oD4)	432,357
(C₃×C₉)⋊₁₆(C₄○D₄) = C₃₆.₂₇D₆	φ: C₄○D₄/D₄ → C₂ ⊆ Aut C₃×C₉	216		(C3xC9):16(C4oD4)	432,389
(C₃×C₉)⋊₁₇(C₄○D₄) = C₉×Q₈⋊₃S₃	φ: C₄○D₄/Q₈ → C₂ ⊆ Aut C₃×C₉	144	4	(C3xC9):17(C4oD4)	432,367
(C₃×C₉)⋊₁₈(C₄○D₄) = C₃×Q₈⋊₃D₉	φ: C₄○D₄/Q₈ → C₂ ⊆ Aut C₃×C₉	144	4	(C3xC9):18(C4oD4)	432,365
(C₃×C₉)⋊₁₉(C₄○D₄) = C₃₆.₂₉D₆	φ: C₄○D₄/Q₈ → C₂ ⊆ Aut C₃×C₉	216		(C3xC9):19(C4oD4)	432,393

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