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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊₁(C₂²×D₇) = C₂²×S₃×D₇	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₆	84		C6:1(C2^2xD7)	336,219
C₆⋊₂(C₂²×D₇) = C₂³×D₂₁	φ: C₂²×D₇/C₂×C₁₄ → C₂ ⊆ Aut C₆	168		C6:2(C2^2xD7)	336,227

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₂²×D₇) = D₇×Dic₆	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₆	168	4-	C6.1(C2^2xD7)	336,137
C₆.₂(C₂²×D₇) = D₂₈⋊₅S₃	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₆	168	4-	C6.2(C2^2xD7)	336,138
C₆.₃(C₂²×D₇) = D₂₈⋊S₃	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₆	168	4	C6.3(C2^2xD7)	336,139
C₆.₄(C₂²×D₇) = S₃×Dic₁₄	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₆	168	4-	C6.4(C2^2xD7)	336,140
C₆.₅(C₂²×D₇) = D₁₂⋊D₇	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₆	168	4	C6.5(C2^2xD7)	336,141
C₆.₆(C₂²×D₇) = D₈₄⋊C₂	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₆	168	4+	C6.6(C2^2xD7)	336,142
C₆.₇(C₂²×D₇) = D₂₁⋊Q₈	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₆	168	4	C6.7(C2^2xD7)	336,143
C₆.₈(C₂²×D₇) = D₆.D₁₄	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₆	168	4	C6.8(C2^2xD7)	336,144
C₆.₉(C₂²×D₇) = D₁₂⋊₅D₇	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₆	168	4-	C6.9(C2^2xD7)	336,145
C₆.₁₀(C₂²×D₇) = D₁₄.D₆	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₆	168	4+	C6.10(C2^2xD7)	336,146
C₆.₁₁(C₂²×D₇) = C₄×S₃×D₇	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₆	84	4	C6.11(C2^2xD7)	336,147
C₆.₁₂(C₂²×D₇) = D₇×D₁₂	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₆	84	4+	C6.12(C2^2xD7)	336,148
C₆.₁₃(C₂²×D₇) = S₃×D₂₈	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₆	84	4+	C6.13(C2^2xD7)	336,149
C₆.₁₄(C₂²×D₇) = C₂₈⋊D₆	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₆	84	4	C6.14(C2^2xD7)	336,150
C₆.₁₅(C₂²×D₇) = C₂×Dic₃×D₇	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₆	168		C6.15(C2^2xD7)	336,151
C₆.₁₆(C₂²×D₇) = Dic₇.D₆	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₆	168	4	C6.16(C2^2xD7)	336,152
C₆.₁₇(C₂²×D₇) = C₄₂.C₂³	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₆	168	4-	C6.17(C2^2xD7)	336,153
C₆.₁₈(C₂²×D₇) = C₂×S₃×Dic₇	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₆	168		C6.18(C2^2xD7)	336,154
C₆.₁₉(C₂²×D₇) = Dic₃.D₁₄	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₆	168	4	C6.19(C2^2xD7)	336,155
C₆.₂₀(C₂²×D₇) = C₂×D₂₁⋊C₄	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₆	168		C6.20(C2^2xD7)	336,156
C₆.₂₁(C₂²×D₇) = C₂×C₂₁⋊D₄	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₆	168		C6.21(C2^2xD7)	336,157
C₆.₂₂(C₂²×D₇) = C₂×C₃⋊D₂₈	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₆	168		C6.22(C2^2xD7)	336,158
C₆.₂₃(C₂²×D₇) = C₂×C₇⋊D₁₂	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₆	168		C6.23(C2^2xD7)	336,159
C₆.₂₄(C₂²×D₇) = C₂×C₂₁⋊Q₈	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₆	336		C6.24(C2^2xD7)	336,160
C₆.₂₅(C₂²×D₇) = D₇×C₃⋊D₄	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₆	84	4	C6.25(C2^2xD7)	336,161
C₆.₂₆(C₂²×D₇) = S₃×C₇⋊D₄	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₆	84	4	C6.26(C2^2xD7)	336,162
C₆.₂₇(C₂²×D₇) = D₆⋊D₁₄	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₆	84	4+	C6.27(C2^2xD7)	336,163
C₆.₂₈(C₂²×D₇) = C₂×Dic₄₂	φ: C₂²×D₇/C₂×C₁₄ → C₂ ⊆ Aut C₆	336		C6.28(C2^2xD7)	336,194
C₆.₂₉(C₂²×D₇) = C₂×C₄×D₂₁	φ: C₂²×D₇/C₂×C₁₄ → C₂ ⊆ Aut C₆	168		C6.29(C2^2xD7)	336,195
C₆.₃₀(C₂²×D₇) = C₂×D₈₄	φ: C₂²×D₇/C₂×C₁₄ → C₂ ⊆ Aut C₆	168		C6.30(C2^2xD7)	336,196
C₆.₃₁(C₂²×D₇) = D₈₄⋊₁₁C₂	φ: C₂²×D₇/C₂×C₁₄ → C₂ ⊆ Aut C₆	168	2	C6.31(C2^2xD7)	336,197
C₆.₃₂(C₂²×D₇) = D₄×D₂₁	φ: C₂²×D₇/C₂×C₁₄ → C₂ ⊆ Aut C₆	84	4+	C6.32(C2^2xD7)	336,198
C₆.₃₃(C₂²×D₇) = D₄⋊₂D₂₁	φ: C₂²×D₇/C₂×C₁₄ → C₂ ⊆ Aut C₆	168	4-	C6.33(C2^2xD7)	336,199
C₆.₃₄(C₂²×D₇) = Q₈×D₂₁	φ: C₂²×D₇/C₂×C₁₄ → C₂ ⊆ Aut C₆	168	4-	C6.34(C2^2xD7)	336,200
C₆.₃₅(C₂²×D₇) = Q₈⋊₃D₂₁	φ: C₂²×D₇/C₂×C₁₄ → C₂ ⊆ Aut C₆	168	4+	C6.35(C2^2xD7)	336,201
C₆.₃₆(C₂²×D₇) = C₂²×Dic₂₁	φ: C₂²×D₇/C₂×C₁₄ → C₂ ⊆ Aut C₆	336		C6.36(C2^2xD7)	336,202
C₆.₃₇(C₂²×D₇) = C₂×C₂₁⋊₇D₄	φ: C₂²×D₇/C₂×C₁₄ → C₂ ⊆ Aut C₆	168		C6.37(C2^2xD7)	336,203
C₆.₃₈(C₂²×D₇) = C₆×Dic₁₄	central extension (φ=1)	336		C6.38(C2^2xD7)	336,174
C₆.₃₉(C₂²×D₇) = D₇×C₂×C₁₂	central extension (φ=1)	168		C6.39(C2^2xD7)	336,175
C₆.₄₀(C₂²×D₇) = C₆×D₂₈	central extension (φ=1)	168		C6.40(C2^2xD7)	336,176
C₆.₄₁(C₂²×D₇) = C₃×C₄○D₂₈	central extension (φ=1)	168	2	C6.41(C2^2xD7)	336,177
C₆.₄₂(C₂²×D₇) = C₃×D₄×D₇	central extension (φ=1)	84	4	C6.42(C2^2xD7)	336,178
C₆.₄₃(C₂²×D₇) = C₃×D₄⋊₂D₇	central extension (φ=1)	168	4	C6.43(C2^2xD7)	336,179
C₆.₄₄(C₂²×D₇) = C₃×Q₈×D₇	central extension (φ=1)	168	4	C6.44(C2^2xD7)	336,180
C₆.₄₅(C₂²×D₇) = C₃×Q₈⋊₂D₇	central extension (φ=1)	168	4	C6.45(C2^2xD7)	336,181
C₆.₄₆(C₂²×D₇) = C₂×C₆×Dic₇	central extension (φ=1)	336		C6.46(C2^2xD7)	336,182
C₆.₄₇(C₂²×D₇) = C₆×C₇⋊D₄	central extension (φ=1)	168		C6.47(C2^2xD7)	336,183

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

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