Extensions 1→N→G→Q→1 with N=C₃×C₂₁ and Q=C₂²

Direct product G=N×Q with N=C₃×C₂₁ and Q=C₂²

		d	ρ	Label	ID
C₆×C₄₂		252		C6xC42	252,46

Semidirect products G=N:Q with N=C₃×C₂₁ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₂₁)⋊₁C₂² = C₃×S₃×D₇	φ: C₂²/C₁ → C₂² ⊆ Aut C₃×C₂₁	42	4	(C3xC21):1C2^2	252,33
(C₃×C₂₁)⋊₂C₂² = D₇×C₃⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Aut C₃×C₂₁	63		(C3xC21):2C2^2	252,34
(C₃×C₂₁)⋊₃C₂² = S₃×D₂₁	φ: C₂²/C₁ → C₂² ⊆ Aut C₃×C₂₁	42	4+	(C3xC21):3C2^2	252,36
(C₃×C₂₁)⋊₄C₂² = D₂₁⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Aut C₃×C₂₁	42	4	(C3xC21):4C2^2	252,37
(C₃×C₂₁)⋊₅C₂² = S₃²×C₇	φ: C₂²/C₁ → C₂² ⊆ Aut C₃×C₂₁	42	4	(C3xC21):5C2^2	252,35
(C₃×C₂₁)⋊₆C₂² = C₂×C₃⋊D₂₁	φ: C₂²/C₂ → C₂ ⊆ Aut C₃×C₂₁	126		(C3xC21):6C2^2	252,45
(C₃×C₂₁)⋊₇C₂² = C₆×D₂₁	φ: C₂²/C₂ → C₂ ⊆ Aut C₃×C₂₁	84	2	(C3xC21):7C2^2	252,43
(C₃×C₂₁)⋊₈C₂² = D₇×C₃×C₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₃×C₂₁	126		(C3xC21):8C2^2	252,41
(C₃×C₂₁)⋊₉C₂² = S₃×C₄₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₃×C₂₁	84	2	(C3xC21):9C2^2	252,42
(C₃×C₂₁)⋊₁₀C₂² = C₁₄×C₃⋊S₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₃×C₂₁	126		(C3xC21):10C2^2	252,44

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