Extensions 1→N→G→Q→1 with N=C₃² and Q=D₂₁

Direct product G=N×Q with N=C₃² and Q=D₂₁

		d	ρ	Label	ID
C₃²×D₂₁		126		C3^2xD21	378,55

Semidirect products G=N:Q with N=C₃² and Q=D₂₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊₁D₂₁ = He₃⋊D₇	φ: D₂₁/C₇ → S₃ ⊆ Aut C₃²	63	6+	C3^2:1D21	378,38
C₃²⋊₂D₂₁ = C₃²⋊D₂₁	φ: D₂₁/C₇ → S₃ ⊆ Aut C₃²	63	6	C3^2:2D21	378,43
C₃²⋊₃D₂₁ = C₃×C₃⋊D₂₁	φ: D₂₁/C₂₁ → C₂ ⊆ Aut C₃²	126		C3^2:3D21	378,57
C₃²⋊₄D₂₁ = C₃³⋊D₇	φ: D₂₁/C₂₁ → C₂ ⊆ Aut C₃²	189		C3^2:4D21	378,59

Non-split extensions G=N.Q with N=C₃² and Q=D₂₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃².D₂₁ = D₆₃⋊C₃	φ: D₂₁/C₇ → S₃ ⊆ Aut C₃²	63	6+	C3^2.D21	378,39
C₃².₂D₂₁ = C₃×D₆₃	φ: D₂₁/C₂₁ → C₂ ⊆ Aut C₃²	126	2	C3^2.2D21	378,36
C₃².₃D₂₁ = C₃⋊D₆₃	φ: D₂₁/C₂₁ → C₂ ⊆ Aut C₃²	189		C3^2.3D21	378,42

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