Extensions 1→N→G→Q→1 with N=C₂² and Q=S₃×D₇

Direct product G=N×Q with N=C₂² and Q=S₃×D₇

		d	ρ	Label	ID
C₂²×S₃×D₇		84		C2^2xS3xD7	336,219

Semidirect products G=N:Q with N=C₂² and Q=S₃×D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(S₃×D₇) = D₇×S₄	φ: S₃×D₇/D₇ → S₃ ⊆ Aut C₂²	28	6+	C2^2:(S3xD7)	336,212
C₂²⋊₂(S₃×D₇) = S₃×C₇⋊D₄	φ: S₃×D₇/S₃×C₇ → C₂ ⊆ Aut C₂²	84	4	C2^2:2(S3xD7)	336,162
C₂²⋊₃(S₃×D₇) = D₇×C₃⋊D₄	φ: S₃×D₇/C₃×D₇ → C₂ ⊆ Aut C₂²	84	4	C2^2:3(S3xD7)	336,161
C₂²⋊₄(S₃×D₇) = D₆⋊D₁₄	φ: S₃×D₇/D₂₁ → C₂ ⊆ Aut C₂²	84	4+	C2^2:4(S3xD7)	336,163

Non-split extensions G=N.Q with N=C₂² and Q=S₃×D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(S₃×D₇) = Dic₇.D₆	φ: S₃×D₇/S₃×C₇ → C₂ ⊆ Aut C₂²	168	4	C2^2.1(S3xD7)	336,152
C₂².₂(S₃×D₇) = Dic₃.D₁₄	φ: S₃×D₇/C₃×D₇ → C₂ ⊆ Aut C₂²	168	4	C2^2.2(S3xD7)	336,155
C₂².₃(S₃×D₇) = C₄₂.C₂³	φ: S₃×D₇/D₂₁ → C₂ ⊆ Aut C₂²	168	4-	C2^2.3(S3xD7)	336,153
C₂².₄(S₃×D₇) = Dic₃×Dic₇	central extension (φ=1)	336		C2^2.4(S3xD7)	336,41
C₂².₅(S₃×D₇) = D₁₄⋊Dic₃	central extension (φ=1)	168		C2^2.5(S3xD7)	336,42
C₂².₆(S₃×D₇) = D₆⋊Dic₇	central extension (φ=1)	168		C2^2.6(S3xD7)	336,43
C₂².₇(S₃×D₇) = D₄₂⋊C₄	central extension (φ=1)	168		C2^2.7(S3xD7)	336,44
C₂².₈(S₃×D₇) = C₄₂.Q₈	central extension (φ=1)	336		C2^2.8(S3xD7)	336,45
C₂².₉(S₃×D₇) = Dic₂₁⋊C₄	central extension (φ=1)	336		C2^2.9(S3xD7)	336,46
C₂².₁₀(S₃×D₇) = C₁₄.Dic₆	central extension (φ=1)	336		C2^2.10(S3xD7)	336,47
C₂².₁₁(S₃×D₇) = C₂×Dic₃×D₇	central extension (φ=1)	168		C2^2.11(S3xD7)	336,151
C₂².₁₂(S₃×D₇) = C₂×S₃×Dic₇	central extension (φ=1)	168		C2^2.12(S3xD7)	336,154
C₂².₁₃(S₃×D₇) = C₂×D₂₁⋊C₄	central extension (φ=1)	168		C2^2.13(S3xD7)	336,156
C₂².₁₄(S₃×D₇) = C₂×C₂₁⋊D₄	central extension (φ=1)	168		C2^2.14(S3xD7)	336,157
C₂².₁₅(S₃×D₇) = C₂×C₃⋊D₂₈	central extension (φ=1)	168		C2^2.15(S3xD7)	336,158
C₂².₁₆(S₃×D₇) = C₂×C₇⋊D₁₂	central extension (φ=1)	168		C2^2.16(S3xD7)	336,159
C₂².₁₇(S₃×D₇) = C₂×C₂₁⋊Q₈	central extension (φ=1)	336		C2^2.17(S3xD7)	336,160

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