Extensions 1→N→G→Q→1 with N=C₂₁ and Q=D₆

Direct product G=N×Q with N=C₂₁ and Q=D₆

		d	ρ	Label	ID
S₃×C₄₂		84	2	S3xC42	252,42

Semidirect products G=N:Q with N=C₂₁ and Q=D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₁⋊₁D₆ = D₇×C₃⋊S₃	φ: D₆/C₃ → C₂² ⊆ Aut C₂₁	63		C21:1D6	252,34
C₂₁⋊₂D₆ = S₃×D₂₁	φ: D₆/C₃ → C₂² ⊆ Aut C₂₁	42	4+	C21:2D6	252,36
C₂₁⋊₃D₆ = D₂₁⋊S₃	φ: D₆/C₃ → C₂² ⊆ Aut C₂₁	42	4	C21:3D6	252,37
C₂₁⋊₄D₆ = C₃×S₃×D₇	φ: D₆/S₃ → C₂ ⊆ Aut C₂₁	42	4	C21:4D6	252,33
C₂₁⋊₅D₆ = S₃²×C₇	φ: D₆/S₃ → C₂ ⊆ Aut C₂₁	42	4	C21:5D6	252,35
C₂₁⋊₆D₆ = C₂×C₃⋊D₂₁	φ: D₆/C₆ → C₂ ⊆ Aut C₂₁	126		C21:6D6	252,45
C₂₁⋊₇D₆ = C₆×D₂₁	φ: D₆/C₆ → C₂ ⊆ Aut C₂₁	84	2	C21:7D6	252,43
C₂₁⋊₈D₆ = C₁₄×C₃⋊S₃	φ: D₆/C₆ → C₂ ⊆ Aut C₂₁	126		C21:8D6	252,44

Non-split extensions G=N.Q with N=C₂₁ and Q=D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₁.D₆ = D₇×D₉	φ: D₆/C₃ → C₂² ⊆ Aut C₂₁	63	4+	C21.D6	252,8
C₂₁.₂D₆ = D₁₂₆	φ: D₆/C₆ → C₂ ⊆ Aut C₂₁	126	2+	C21.2D6	252,14
C₂₁.₃D₆ = C₁₄×D₉	φ: D₆/C₆ → C₂ ⊆ Aut C₂₁	126	2	C21.3D6	252,13

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