Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃²⋊₂C₁₆

Direct product G=N×Q with N=C₃ and Q=C₃²⋊₂C₁₆

		d	ρ	Label	ID
C₃×C₃²⋊₂C₁₆		48	4	C3xC3^2:2C16	432,412

Semidirect products G=N:Q with N=C₃ and Q=C₃²⋊₂C₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₃²⋊₂C₁₆) = C₃³⋊₄C₁₆	φ: C₃²⋊₂C₁₆/C₃²⋊₄C₈ → C₂ ⊆ Aut C₃	48	4	C3:(C3^2:2C16)	432,413

Non-split extensions G=N.Q with N=C₃ and Q=C₃²⋊₂C₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃²⋊₂C₁₆) = He₃⋊₂C₁₆	central stem extension (φ=1)	144	3	C3.(C3^2:2C16)	432,57

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Extensions 1→N→G→Q→1 with N=C3 and Q=C32⋊2C16