Extensions 1→N→G→Q→1 with N=C₂² and Q=C₆×D₇

Direct product G=N×Q with N=C₂² and Q=C₆×D₇

		d	ρ	Label	ID
D₇×C₂²×C₆		168		D7xC2^2xC6	336,225

Semidirect products G=N:Q with N=C₂² and Q=C₆×D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₆×D₇) = C₂×A₄×D₇	φ: C₆×D₇/D₁₄ → C₃ ⊆ Aut C₂²	42	6+	C2^2:(C6xD7)	336,217
C₂²⋊₂(C₆×D₇) = C₃×D₄×D₇	φ: C₆×D₇/C₃×D₇ → C₂ ⊆ Aut C₂²	84	4	C2^2:2(C6xD7)	336,178
C₂²⋊₃(C₆×D₇) = C₆×C₇⋊D₄	φ: C₆×D₇/C₄₂ → C₂ ⊆ Aut C₂²	168		C2^2:3(C6xD7)	336,183

Non-split extensions G=N.Q with N=C₂² and Q=C₆×D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₆×D₇) = C₃×D₄⋊₂D₇	φ: C₆×D₇/C₃×D₇ → C₂ ⊆ Aut C₂²	168	4	C2^2.1(C6xD7)	336,179
C₂².₂(C₆×D₇) = C₃×C₄○D₂₈	φ: C₆×D₇/C₄₂ → C₂ ⊆ Aut C₂²	168	2	C2^2.2(C6xD7)	336,177
C₂².₃(C₆×D₇) = C₁₂×Dic₇	central extension (φ=1)	336		C2^2.3(C6xD7)	336,65
C₂².₄(C₆×D₇) = C₃×Dic₇⋊C₄	central extension (φ=1)	336		C2^2.4(C6xD7)	336,66
C₂².₅(C₆×D₇) = C₃×C₄⋊Dic₇	central extension (φ=1)	336		C2^2.5(C6xD7)	336,67
C₂².₆(C₆×D₇) = C₃×D₁₄⋊C₄	central extension (φ=1)	168		C2^2.6(C6xD7)	336,68
C₂².₇(C₆×D₇) = C₃×C₂³.D₇	central extension (φ=1)	168		C2^2.7(C6xD7)	336,73
C₂².₈(C₆×D₇) = C₆×Dic₁₄	central extension (φ=1)	336		C2^2.8(C6xD7)	336,174
C₂².₉(C₆×D₇) = D₇×C₂×C₁₂	central extension (φ=1)	168		C2^2.9(C6xD7)	336,175
C₂².₁₀(C₆×D₇) = C₆×D₂₈	central extension (φ=1)	168		C2^2.10(C6xD7)	336,176
C₂².₁₁(C₆×D₇) = C₂×C₆×Dic₇	central extension (φ=1)	336		C2^2.11(C6xD7)	336,182

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