Extensions 1→N→G→Q→1 with N=C₆ and Q=C₄×D₇

Direct product G=N×Q with N=C₆ and Q=C₄×D₇

		d	ρ	Label	ID
D₇×C₂×C₁₂		168		D7xC2xC12	336,175

Semidirect products G=N:Q with N=C₆ and Q=C₄×D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊₁(C₄×D₇) = C₂×D₂₁⋊C₄	φ: C₄×D₇/Dic₇ → C₂ ⊆ Aut C₆	168		C6:1(C4xD7)	336,156
C₆⋊₂(C₄×D₇) = C₂×C₄×D₂₁	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₆	168		C6:2(C4xD7)	336,195
C₆⋊₃(C₄×D₇) = C₂×Dic₃×D₇	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₆	168		C6:3(C4xD7)	336,151

Non-split extensions G=N.Q with N=C₆ and Q=C₄×D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₄×D₇) = D₂₁⋊C₈	φ: C₄×D₇/Dic₇ → C₂ ⊆ Aut C₆	168	4	C6.1(C4xD7)	336,25
C₆.₂(C₄×D₇) = D₄₂.C₄	φ: C₄×D₇/Dic₇ → C₂ ⊆ Aut C₆	168	4	C6.2(C4xD7)	336,28
C₆.₃(C₄×D₇) = D₄₂⋊C₄	φ: C₄×D₇/Dic₇ → C₂ ⊆ Aut C₆	168		C6.3(C4xD7)	336,44
C₆.₄(C₄×D₇) = Dic₂₁⋊C₄	φ: C₄×D₇/Dic₇ → C₂ ⊆ Aut C₆	336		C6.4(C4xD7)	336,46
C₆.₅(C₄×D₇) = C₈×D₂₁	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₆	168	2	C6.5(C4xD7)	336,90
C₆.₆(C₄×D₇) = C₅₆⋊S₃	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₆	168	2	C6.6(C4xD7)	336,91
C₆.₇(C₄×D₇) = C₄×Dic₂₁	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₆	336		C6.7(C4xD7)	336,97
C₆.₈(C₄×D₇) = C₄₂.₄Q₈	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₆	336		C6.8(C4xD7)	336,98
C₆.₉(C₄×D₇) = C₂.D₈₄	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₆	168		C6.9(C4xD7)	336,100
C₆.₁₀(C₄×D₇) = D₇×C₃⋊C₈	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₆	168	4	C6.10(C4xD7)	336,23
C₆.₁₁(C₄×D₇) = C₂₈.₃₂D₆	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₆	168	4	C6.11(C4xD7)	336,26
C₆.₁₂(C₄×D₇) = Dic₃×Dic₇	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₆	336		C6.12(C4xD7)	336,41
C₆.₁₃(C₄×D₇) = D₁₄⋊Dic₃	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₆	168		C6.13(C4xD7)	336,42
C₆.₁₄(C₄×D₇) = C₄₂.Q₈	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₆	336		C6.14(C4xD7)	336,45
C₆.₁₅(C₄×D₇) = D₇×C₂₄	central extension (φ=1)	168	2	C6.15(C4xD7)	336,58
C₆.₁₆(C₄×D₇) = C₃×C₈⋊D₇	central extension (φ=1)	168	2	C6.16(C4xD7)	336,59
C₆.₁₇(C₄×D₇) = C₁₂×Dic₇	central extension (φ=1)	336		C6.17(C4xD7)	336,65
C₆.₁₈(C₄×D₇) = C₃×Dic₇⋊C₄	central extension (φ=1)	336		C6.18(C4xD7)	336,66
C₆.₁₉(C₄×D₇) = C₃×D₁₄⋊C₄	central extension (φ=1)	168		C6.19(C4xD7)	336,68

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