Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃³⋊₅C₄

Direct product G=N×Q with N=C₃ and Q=C₃³⋊₅C₄

		d	ρ	Label	ID
C₃×C₃³⋊₅C₄		108		C3xC3^3:5C4	324,157

Semidirect products G=N:Q with N=C₃ and Q=C₃³⋊₅C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₃³⋊₅C₄) = C₃⁴⋊₈C₄	φ: C₃³⋊₅C₄/C₃²×C₆ → C₂ ⊆ Aut C₃	324		C3:(C3^3:5C4)	324,158

Non-split extensions G=N.Q with N=C₃ and Q=C₃³⋊₅C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃³⋊₅C₄) = C₃²⋊₅Dic₉	φ: C₃³⋊₅C₄/C₃²×C₆ → C₂ ⊆ Aut C₃	324		C3.(C3^3:5C4)	324,103
C₃.₂(C₃³⋊₅C₄) = He₃⋊₆Dic₃	central stem extension (φ=1)	36	6	C3.2(C3^3:5C4)	324,104

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Extensions 1→N→G→Q→1 with N=C3 and Q=C33⋊5C4