Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃²⋊₅D₈

Direct product G=N×Q with N=C₃ and Q=C₃²⋊₅D₈

		d	ρ	Label	ID
C₃×C₃²⋊₅D₈		144		C3xC3^2:5D8	432,483

Semidirect products G=N:Q with N=C₃ and Q=C₃²⋊₅D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₃²⋊₅D₈) = C₃³⋊₁₂D₈	φ: C₃²⋊₅D₈/C₃×C₂₄ → C₂ ⊆ Aut C₃	216		C3:1(C3^2:5D8)	432,499
C₃⋊₂(C₃²⋊₅D₈) = C₃³⋊₈D₈	φ: C₃²⋊₅D₈/C₁₂⋊S₃ → C₂ ⊆ Aut C₃	72		C3:2(C3^2:5D8)	432,438

Non-split extensions G=N.Q with N=C₃ and Q=C₃²⋊₅D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃²⋊₅D₈) = C₇₂⋊₁S₃	φ: C₃²⋊₅D₈/C₃×C₂₄ → C₂ ⊆ Aut C₃	216		C3.(C3^2:5D8)	432,172
C₃.₂(C₃²⋊₅D₈) = He₃⋊₅D₈	central stem extension (φ=1)	72	6	C3.2(C3^2:5D8)	432,176

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Extensions 1→N→G→Q→1 with N=C3 and Q=C32⋊5D8