Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃²⋊₅Q₁₆

Direct product G=N×Q with N=C₃ and Q=C₃²⋊₅Q₁₆

		d	ρ	Label	ID
C₃×C₃²⋊₅Q₁₆		144		C3xC3^2:5Q16	432,484

Semidirect products G=N:Q with N=C₃ and Q=C₃²⋊₅Q₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₃²⋊₅Q₁₆) = C₃³⋊₁₂Q₁₆	φ: C₃²⋊₅Q₁₆/C₃×C₂₄ → C₂ ⊆ Aut C₃	432		C3:1(C3^2:5Q16)	432,500
C₃⋊₂(C₃²⋊₅Q₁₆) = C₃³⋊₈Q₁₆	φ: C₃²⋊₅Q₁₆/C₃²⋊₄Q₈ → C₂ ⊆ Aut C₃	144		C3:2(C3^2:5Q16)	432,447

Non-split extensions G=N.Q with N=C₃ and Q=C₃²⋊₅Q₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃²⋊₅Q₁₆) = C₂₄.D₉	φ: C₃²⋊₅Q₁₆/C₃×C₂₄ → C₂ ⊆ Aut C₃	432		C3.(C3^2:5Q16)	432,168
C₃.₂(C₃²⋊₅Q₁₆) = He₃⋊₅Q₁₆	central stem extension (φ=1)	144	6	C3.2(C3^2:5Q16)	432,177

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Extensions 1→N→G→Q→1 with N=C3 and Q=C32⋊5Q16