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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊₁(C₆×D₇) = C₃×D₄×D₇	φ: C₆×D₇/C₃×D₇ → C₂ ⊆ Aut C₄	84	4	C4:1(C6xD7)	336,178
C₄⋊₂(C₆×D₇) = C₆×D₂₈	φ: C₆×D₇/C₄₂ → C₂ ⊆ Aut C₄	168		C4:2(C6xD7)	336,176

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₆×D₇) = C₃×D₄⋊D₇	φ: C₆×D₇/C₃×D₇ → C₂ ⊆ Aut C₄	168	4	C4.1(C6xD7)	336,69
C₄.₂(C₆×D₇) = C₃×D₄.D₇	φ: C₆×D₇/C₃×D₇ → C₂ ⊆ Aut C₄	168	4	C4.2(C6xD7)	336,70
C₄.₃(C₆×D₇) = C₃×Q₈⋊D₇	φ: C₆×D₇/C₃×D₇ → C₂ ⊆ Aut C₄	168	4	C4.3(C6xD7)	336,71
C₄.₄(C₆×D₇) = C₃×C₇⋊Q₁₆	φ: C₆×D₇/C₃×D₇ → C₂ ⊆ Aut C₄	336	4	C4.4(C6xD7)	336,72
C₄.₅(C₆×D₇) = C₃×D₄⋊₂D₇	φ: C₆×D₇/C₃×D₇ → C₂ ⊆ Aut C₄	168	4	C4.5(C6xD7)	336,179
C₄.₆(C₆×D₇) = C₃×Q₈×D₇	φ: C₆×D₇/C₃×D₇ → C₂ ⊆ Aut C₄	168	4	C4.6(C6xD7)	336,180
C₄.₇(C₆×D₇) = C₃×Q₈⋊₂D₇	φ: C₆×D₇/C₃×D₇ → C₂ ⊆ Aut C₄	168	4	C4.7(C6xD7)	336,181
C₄.₈(C₆×D₇) = C₃×C₅₆⋊C₂	φ: C₆×D₇/C₄₂ → C₂ ⊆ Aut C₄	168	2	C4.8(C6xD7)	336,60
C₄.₉(C₆×D₇) = C₃×D₅₆	φ: C₆×D₇/C₄₂ → C₂ ⊆ Aut C₄	168	2	C4.9(C6xD7)	336,61
C₄.₁₀(C₆×D₇) = C₃×Dic₂₈	φ: C₆×D₇/C₄₂ → C₂ ⊆ Aut C₄	336	2	C4.10(C6xD7)	336,62
C₄.₁₁(C₆×D₇) = C₆×Dic₁₄	φ: C₆×D₇/C₄₂ → C₂ ⊆ Aut C₄	336		C4.11(C6xD7)	336,174
C₄.₁₂(C₆×D₇) = D₇×C₂₄	central extension (φ=1)	168	2	C4.12(C6xD7)	336,58
C₄.₁₃(C₆×D₇) = C₃×C₈⋊D₇	central extension (φ=1)	168	2	C4.13(C6xD7)	336,59
C₄.₁₄(C₆×D₇) = C₆×C₇⋊C₈	central extension (φ=1)	336		C4.14(C6xD7)	336,63
C₄.₁₅(C₆×D₇) = C₃×C₄.Dic₇	central extension (φ=1)	168	2	C4.15(C6xD7)	336,64
C₄.₁₆(C₆×D₇) = C₃×C₄○D₂₈	central extension (φ=1)	168	2	C4.16(C6xD7)	336,177

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