Extensions 1→N→G→Q→1 with N=C₃×C₉ and Q=C₂×D₄

Direct product G=N×Q with N=C₃×C₉ and Q=C₂×D₄

		d	ρ	Label	ID
D₄×C₃×C₁₈		216		D4xC3xC18	432,403

Semidirect products G=N:Q with N=C₃×C₉ and Q=C₂×D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₉)⋊₁(C₂×D₄) = S₃×D₃₆	φ: C₂×D₄/C₄ → C₂² ⊆ Aut C₃×C₉	72	4+	(C3xC9):1(C2xD4)	432,291
(C₃×C₉)⋊₂(C₂×D₄) = D₉×D₁₂	φ: C₂×D₄/C₄ → C₂² ⊆ Aut C₃×C₉	72	4+	(C3xC9):2(C2xD4)	432,292
(C₃×C₉)⋊₃(C₂×D₄) = C₃₆⋊D₆	φ: C₂×D₄/C₄ → C₂² ⊆ Aut C₃×C₉	72	4	(C3xC9):3(C2xD4)	432,293
(C₃×C₉)⋊₄(C₂×D₄) = C₂×C₃⋊D₃₆	φ: C₂×D₄/C₂² → C₂² ⊆ Aut C₃×C₉	72		(C3xC9):4(C2xD4)	432,307
(C₃×C₉)⋊₅(C₂×D₄) = C₂×D₆⋊D₉	φ: C₂×D₄/C₂² → C₂² ⊆ Aut C₃×C₉	144		(C3xC9):5(C2xD4)	432,311
(C₃×C₉)⋊₆(C₂×D₄) = C₂×C₉⋊D₁₂	φ: C₂×D₄/C₂² → C₂² ⊆ Aut C₃×C₉	72		(C3xC9):6(C2xD4)	432,312
(C₃×C₉)⋊₇(C₂×D₄) = S₃×C₉⋊D₄	φ: C₂×D₄/C₂² → C₂² ⊆ Aut C₃×C₉	72	4	(C3xC9):7(C2xD4)	432,313
(C₃×C₉)⋊₈(C₂×D₄) = D₉×C₃⋊D₄	φ: C₂×D₄/C₂² → C₂² ⊆ Aut C₃×C₉	72	4	(C3xC9):8(C2xD4)	432,314
(C₃×C₉)⋊₉(C₂×D₄) = D₁₈⋊D₆	φ: C₂×D₄/C₂² → C₂² ⊆ Aut C₃×C₉	36	4+	(C3xC9):9(C2xD4)	432,315
(C₃×C₉)⋊₁₀(C₂×D₄) = C₁₈×D₁₂	φ: C₂×D₄/C₂×C₄ → C₂ ⊆ Aut C₃×C₉	144		(C3xC9):10(C2xD4)	432,346
(C₃×C₉)⋊₁₁(C₂×D₄) = C₆×D₃₆	φ: C₂×D₄/C₂×C₄ → C₂ ⊆ Aut C₃×C₉	144		(C3xC9):11(C2xD4)	432,343
(C₃×C₉)⋊₁₂(C₂×D₄) = C₂×C₃₆⋊S₃	φ: C₂×D₄/C₂×C₄ → C₂ ⊆ Aut C₃×C₉	216		(C3xC9):12(C2xD4)	432,382
(C₃×C₉)⋊₁₃(C₂×D₄) = S₃×D₄×C₉	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₃×C₉	72	4	(C3xC9):13(C2xD4)	432,358
(C₃×C₉)⋊₁₄(C₂×D₄) = C₃×D₄×D₉	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₃×C₉	72	4	(C3xC9):14(C2xD4)	432,356
(C₃×C₉)⋊₁₅(C₂×D₄) = D₄×C₉⋊S₃	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₃×C₉	108		(C3xC9):15(C2xD4)	432,388
(C₃×C₉)⋊₁₆(C₂×D₄) = C₁₈×C₃⋊D₄	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₃×C₉	72		(C3xC9):16(C2xD4)	432,375
(C₃×C₉)⋊₁₇(C₂×D₄) = C₆×C₉⋊D₄	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₃×C₉	72		(C3xC9):17(C2xD4)	432,374
(C₃×C₉)⋊₁₈(C₂×D₄) = C₂×C₆.D₁₈	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₃×C₉	216		(C3xC9):18(C2xD4)	432,397

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