Extensions 1→N→G→Q→1 with N=C₆ and Q=C₄xD₇

Direct product G=NxQ with N=C₆ and Q=C₄xD₇

		d	ρ	Label	ID
D₇xC₂xC₁₂		168		D7xC2xC12	336,175

Semidirect products G=N:Q with N=C₆ and Q=C₄xD₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆:₁(C₄xD₇) = C₂xD₂₁:C₄	φ: C₄xD₇/Dic₇ → C₂ ⊆ Aut C₆	168		C6:1(C4xD7)	336,156
C₆:₂(C₄xD₇) = C₂xC₄xD₂₁	φ: C₄xD₇/C₂₈ → C₂ ⊆ Aut C₆	168		C6:2(C4xD7)	336,195
C₆:₃(C₄xD₇) = C₂xDic₃xD₇	φ: C₄xD₇/D₁₄ → C₂ ⊆ Aut C₆	168		C6:3(C4xD7)	336,151

Non-split extensions G=N.Q with N=C₆ and Q=C₄xD₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₄xD₇) = D₂₁:C₈	φ: C₄xD₇/Dic₇ → C₂ ⊆ Aut C₆	168	4	C6.1(C4xD7)	336,25
C₆.₂(C₄xD₇) = D₄₂.C₄	φ: C₄xD₇/Dic₇ → C₂ ⊆ Aut C₆	168	4	C6.2(C4xD7)	336,28
C₆.₃(C₄xD₇) = D₄₂:C₄	φ: C₄xD₇/Dic₇ → C₂ ⊆ Aut C₆	168		C6.3(C4xD7)	336,44
C₆.₄(C₄xD₇) = Dic₂₁:C₄	φ: C₄xD₇/Dic₇ → C₂ ⊆ Aut C₆	336		C6.4(C4xD7)	336,46
C₆.₅(C₄xD₇) = C₈xD₂₁	φ: C₄xD₇/C₂₈ → C₂ ⊆ Aut C₆	168	2	C6.5(C4xD7)	336,90
C₆.₆(C₄xD₇) = C₅₆:S₃	φ: C₄xD₇/C₂₈ → C₂ ⊆ Aut C₆	168	2	C6.6(C4xD7)	336,91
C₆.₇(C₄xD₇) = C₄xDic₂₁	φ: C₄xD₇/C₂₈ → C₂ ⊆ Aut C₆	336		C6.7(C4xD7)	336,97
C₆.₈(C₄xD₇) = C₄₂.₄Q₈	φ: C₄xD₇/C₂₈ → C₂ ⊆ Aut C₆	336		C6.8(C4xD7)	336,98
C₆.₉(C₄xD₇) = C₂.D₈₄	φ: C₄xD₇/C₂₈ → C₂ ⊆ Aut C₆	168		C6.9(C4xD7)	336,100
C₆.₁₀(C₄xD₇) = D₇xC₃:C₈	φ: C₄xD₇/D₁₄ → C₂ ⊆ Aut C₆	168	4	C6.10(C4xD7)	336,23
C₆.₁₁(C₄xD₇) = C₂₈.₃₂D₆	φ: C₄xD₇/D₁₄ → C₂ ⊆ Aut C₆	168	4	C6.11(C4xD7)	336,26
C₆.₁₂(C₄xD₇) = Dic₃xDic₇	φ: C₄xD₇/D₁₄ → C₂ ⊆ Aut C₆	336		C6.12(C4xD7)	336,41
C₆.₁₃(C₄xD₇) = D₁₄:Dic₃	φ: C₄xD₇/D₁₄ → C₂ ⊆ Aut C₆	168		C6.13(C4xD7)	336,42
C₆.₁₄(C₄xD₇) = C₄₂.Q₈	φ: C₄xD₇/D₁₄ → C₂ ⊆ Aut C₆	336		C6.14(C4xD7)	336,45
C₆.₁₅(C₄xD₇) = D₇xC₂₄	central extension (φ=1)	168	2	C6.15(C4xD7)	336,58
C₆.₁₆(C₄xD₇) = C₃xC₈:D₇	central extension (φ=1)	168	2	C6.16(C4xD7)	336,59
C₆.₁₇(C₄xD₇) = C₁₂xDic₇	central extension (φ=1)	336		C6.17(C4xD7)	336,65
C₆.₁₈(C₄xD₇) = C₃xDic₇:C₄	central extension (φ=1)	336		C6.18(C4xD7)	336,66
C₆.₁₉(C₄xD₇) = C₃xD₁₄:C₄	central extension (φ=1)	168		C6.19(C4xD7)	336,68

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