Extensions 1→N→G→Q→1 with N=C₃³ and Q=SD₁₆

Direct product G=N×Q with N=C₃³ and Q=SD₁₆

		d	ρ	Label	ID
SD₁₆×C₃³		216		SD16xC3^3	432,518

Semidirect products G=N:Q with N=C₃³ and Q=SD₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃³⋊₁SD₁₆ = C₃×AΓL₁(𝔽₉)	φ: SD₁₆/C₁ → SD₁₆ ⊆ Aut C₃³	24	8	C3^3:1SD16	432,737
C₃³⋊₂SD₁₆ = C₃³⋊SD₁₆	φ: SD₁₆/C₁ → SD₁₆ ⊆ Aut C₃³	24	8	C3^3:2SD16	432,738
C₃³⋊₃SD₁₆ = C₃³⋊₃SD₁₆	φ: SD₁₆/C₁ → SD₁₆ ⊆ Aut C₃³	24	16+	C3^3:3SD16	432,739
C₃³⋊₄SD₁₆ = F₉⋊S₃	φ: SD₁₆/C₁ → SD₁₆ ⊆ Aut C₃³	24	16+	C3^3:4SD16	432,740
C₃³⋊₅SD₁₆ = C₃×C₃²⋊₂SD₁₆	φ: SD₁₆/C₂ → D₄ ⊆ Aut C₃³	24	4	C3^3:5SD16	432,577
C₃³⋊₆SD₁₆ = C₃³⋊₆SD₁₆	φ: SD₁₆/C₂ → D₄ ⊆ Aut C₃³	24	4	C3^3:6SD16	432,583
C₃³⋊₇SD₁₆ = C₃³⋊₇SD₁₆	φ: SD₁₆/C₂ → D₄ ⊆ Aut C₃³	24	4	C3^3:7SD16	432,584
C₃³⋊₈SD₁₆ = C₃³⋊₈SD₁₆	φ: SD₁₆/C₂ → D₄ ⊆ Aut C₃³	24	8+	C3^3:8SD16	432,589
C₃³⋊₉SD₁₆ = C₃×Dic₆⋊S₃	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₃³	48	4	C3^3:9SD16	432,420
C₃³⋊₁₀SD₁₆ = C₃×D₁₂.S₃	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₃³	48	4	C3^3:10SD16	432,421
C₃³⋊₁₁SD₁₆ = C₃×C₃²⋊₅SD₁₆	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₃³	48	4	C3^3:11SD16	432,422
C₃³⋊₁₂SD₁₆ = C₃³⋊₁₂SD₁₆	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₃³	144		C3^3:12SD16	432,439
C₃³⋊₁₃SD₁₆ = C₃³⋊₁₃SD₁₆	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₃³	144		C3^3:13SD16	432,440
C₃³⋊₁₄SD₁₆ = C₃³⋊₁₄SD₁₆	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₃³	144		C3^3:14SD16	432,441
C₃³⋊₁₅SD₁₆ = C₃³⋊₁₅SD₁₆	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₃³	72		C3^3:15SD16	432,442
C₃³⋊₁₆SD₁₆ = C₃³⋊₁₆SD₁₆	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₃³	144		C3^3:16SD16	432,443
C₃³⋊₁₇SD₁₆ = C₃³⋊₁₇SD₁₆	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₃³	72		C3^3:17SD16	432,444
C₃³⋊₁₈SD₁₆ = C₃³⋊₁₈SD₁₆	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₃³	48	4	C3^3:18SD16	432,458
C₃³⋊₁₉SD₁₆ = C₃²×C₂₄⋊C₂	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₃³	144		C3^3:19SD16	432,466
C₃³⋊₂₀SD₁₆ = C₃×C₂₄⋊₂S₃	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₃³	144		C3^3:20SD16	432,482
C₃³⋊₂₁SD₁₆ = C₃³⋊₂₁SD₁₆	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₃³	216		C3^3:21SD16	432,498
C₃³⋊₂₂SD₁₆ = C₃²×D₄.S₃	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₃³	72		C3^3:22SD16	432,476
C₃³⋊₂₃SD₁₆ = C₃×C₃²⋊₉SD₁₆	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₃³	72		C3^3:23SD16	432,492
C₃³⋊₂₄SD₁₆ = C₃³⋊₂₄SD₁₆	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₃³	216		C3^3:24SD16	432,508
C₃³⋊₂₅SD₁₆ = C₃²×Q₈⋊₂S₃	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₃³	144		C3^3:25SD16	432,477
C₃³⋊₂₆SD₁₆ = C₃×C₃²⋊₁₁SD₁₆	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₃³	144		C3^3:26SD16	432,493
C₃³⋊₂₇SD₁₆ = C₃³⋊₂₇SD₁₆	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₃³	216		C3^3:27SD16	432,509

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Extensions 1→N→G→Q→1 with N=C33 and Q=SD16

Extensions 1→N→G→Q→1 with N=C₃³ and Q=SD₁₆