Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃²⋊₅SD₁₆

Direct product G=N×Q with N=C₃ and Q=C₃²⋊₅SD₁₆

		d	ρ	Label	ID
C₃×C₃²⋊₅SD₁₆		48	4	C3xC3^2:5SD16	432,422

Semidirect products G=N:Q with N=C₃ and Q=C₃²⋊₅SD₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₃²⋊₅SD₁₆) = C₃³⋊₁₇SD₁₆	φ: C₃²⋊₅SD₁₆/C₃×C₃⋊C₈ → C₂ ⊆ Aut C₃	72		C3:1(C3^2:5SD16)	432,444
C₃⋊₂(C₃²⋊₅SD₁₆) = C₃³⋊₁₅SD₁₆	φ: C₃²⋊₅SD₁₆/C₃×Dic₆ → C₂ ⊆ Aut C₃	72		C3:2(C3^2:5SD16)	432,442
C₃⋊₃(C₃²⋊₅SD₁₆) = C₃³⋊₁₈SD₁₆	φ: C₃²⋊₅SD₁₆/C₁₂⋊S₃ → C₂ ⊆ Aut C₃	48	4	C3:3(C3^2:5SD16)	432,458

Non-split extensions G=N.Q with N=C₃ and Q=C₃²⋊₅SD₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃²⋊₅SD₁₆) = C₆.D₃₆	φ: C₃²⋊₅SD₁₆/C₃×C₃⋊C₈ → C₂ ⊆ Aut C₃	72	4+	C3.1(C3^2:5SD16)	432,63
C₃.₂(C₃²⋊₅SD₁₆) = C₁₈.D₁₂	φ: C₃²⋊₅SD₁₆/C₃×Dic₆ → C₂ ⊆ Aut C₃	72	4+	C3.2(C3^2:5SD16)	432,73
C₃.₃(C₃²⋊₅SD₁₆) = He₃⋊₄SD₁₆	φ: C₃²⋊₅SD₁₆/C₁₂⋊S₃ → C₂ ⊆ Aut C₃	72	12-	C3.3(C3^2:5SD16)	432,84

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