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Extensions 1→N→G→Q→1 with N=C2×C6 and Q=D14

Direct product G=N×Q with N=C2×C6 and Q=D14
dρLabelID
D7×C22×C6168D7xC2^2xC6336,225

Semidirect products G=N:Q with N=C2×C6 and Q=D14
extensionφ:Q→Aut NdρLabelID
(C2×C6)⋊1D14 = S3×C7⋊D4φ: D14/C7 → C22 ⊆ Aut C2×C6844(C2xC6):1D14336,162
(C2×C6)⋊2D14 = D6⋊D14φ: D14/C7 → C22 ⊆ Aut C2×C6844+(C2xC6):2D14336,163
(C2×C6)⋊3D14 = D4×D21φ: D14/C7 → C22 ⊆ Aut C2×C6844+(C2xC6):3D14336,198
(C2×C6)⋊4D14 = C3×D4×D7φ: D14/D7 → C2 ⊆ Aut C2×C6844(C2xC6):4D14336,178
(C2×C6)⋊5D14 = D7×C3⋊D4φ: D14/D7 → C2 ⊆ Aut C2×C6844(C2xC6):5D14336,161
(C2×C6)⋊6D14 = C22×S3×D7φ: D14/D7 → C2 ⊆ Aut C2×C684(C2xC6):6D14336,219
(C2×C6)⋊7D14 = C6×C7⋊D4φ: D14/C14 → C2 ⊆ Aut C2×C6168(C2xC6):7D14336,183
(C2×C6)⋊8D14 = C2×C21⋊7D4φ: D14/C14 → C2 ⊆ Aut C2×C6168(C2xC6):8D14336,203
(C2×C6)⋊9D14 = C23×D21φ: D14/C14 → C2 ⊆ Aut C2×C6168(C2xC6):9D14336,227

Non-split extensions G=N.Q with N=C2×C6 and Q=D14
extensionφ:Q→Aut NdρLabelID
(C2×C6).1D14 = Dic7.D6φ: D14/C7 → C22 ⊆ Aut C2×C61684(C2xC6).1D14336,152
(C2×C6).2D14 = C42.C23φ: D14/C7 → C22 ⊆ Aut C2×C61684-(C2xC6).2D14336,153
(C2×C6).3D14 = D4⋊2D21φ: D14/C7 → C22 ⊆ Aut C2×C61684-(C2xC6).3D14336,199
(C2×C6).4D14 = C3×D4⋊2D7φ: D14/D7 → C2 ⊆ Aut C2×C61684(C2xC6).4D14336,179
(C2×C6).5D14 = Dic3×Dic7φ: D14/D7 → C2 ⊆ Aut C2×C6336(C2xC6).5D14336,41
(C2×C6).6D14 = D14⋊Dic3φ: D14/D7 → C2 ⊆ Aut C2×C6168(C2xC6).6D14336,42
(C2×C6).7D14 = D6⋊Dic7φ: D14/D7 → C2 ⊆ Aut C2×C6168(C2xC6).7D14336,43
(C2×C6).8D14 = D42⋊C4φ: D14/D7 → C2 ⊆ Aut C2×C6168(C2xC6).8D14336,44
(C2×C6).9D14 = C42.Q8φ: D14/D7 → C2 ⊆ Aut C2×C6336(C2xC6).9D14336,45
(C2×C6).10D14 = Dic21⋊C4φ: D14/D7 → C2 ⊆ Aut C2×C6336(C2xC6).10D14336,46
(C2×C6).11D14 = C14.Dic6φ: D14/D7 → C2 ⊆ Aut C2×C6336(C2xC6).11D14336,47
(C2×C6).12D14 = C2×Dic3×D7φ: D14/D7 → C2 ⊆ Aut C2×C6168(C2xC6).12D14336,151
(C2×C6).13D14 = C2×S3×Dic7φ: D14/D7 → C2 ⊆ Aut C2×C6168(C2xC6).13D14336,154
(C2×C6).14D14 = Dic3.D14φ: D14/D7 → C2 ⊆ Aut C2×C61684(C2xC6).14D14336,155
(C2×C6).15D14 = C2×D21⋊C4φ: D14/D7 → C2 ⊆ Aut C2×C6168(C2xC6).15D14336,156
(C2×C6).16D14 = C2×C21⋊D4φ: D14/D7 → C2 ⊆ Aut C2×C6168(C2xC6).16D14336,157
(C2×C6).17D14 = C2×C3⋊D28φ: D14/D7 → C2 ⊆ Aut C2×C6168(C2xC6).17D14336,158
(C2×C6).18D14 = C2×C7⋊D12φ: D14/D7 → C2 ⊆ Aut C2×C6168(C2xC6).18D14336,159
(C2×C6).19D14 = C2×C21⋊Q8φ: D14/D7 → C2 ⊆ Aut C2×C6336(C2xC6).19D14336,160
(C2×C6).20D14 = C3×C4○D28φ: D14/C14 → C2 ⊆ Aut C2×C61682(C2xC6).20D14336,177
(C2×C6).21D14 = C4×Dic21φ: D14/C14 → C2 ⊆ Aut C2×C6336(C2xC6).21D14336,97
(C2×C6).22D14 = C42.4Q8φ: D14/C14 → C2 ⊆ Aut C2×C6336(C2xC6).22D14336,98
(C2×C6).23D14 = C84⋊C4φ: D14/C14 → C2 ⊆ Aut C2×C6336(C2xC6).23D14336,99
(C2×C6).24D14 = C2.D84φ: D14/C14 → C2 ⊆ Aut C2×C6168(C2xC6).24D14336,100
(C2×C6).25D14 = C42.38D4φ: D14/C14 → C2 ⊆ Aut C2×C6168(C2xC6).25D14336,105
(C2×C6).26D14 = C2×Dic42φ: D14/C14 → C2 ⊆ Aut C2×C6336(C2xC6).26D14336,194
(C2×C6).27D14 = C2×C4×D21φ: D14/C14 → C2 ⊆ Aut C2×C6168(C2xC6).27D14336,195
(C2×C6).28D14 = C2×D84φ: D14/C14 → C2 ⊆ Aut C2×C6168(C2xC6).28D14336,196
(C2×C6).29D14 = D84⋊11C2φ: D14/C14 → C2 ⊆ Aut C2×C61682(C2xC6).29D14336,197
(C2×C6).30D14 = C22×Dic21φ: D14/C14 → C2 ⊆ Aut C2×C6336(C2xC6).30D14336,202
(C2×C6).31D14 = C12×Dic7central extension (φ=1)336(C2xC6).31D14336,65
(C2×C6).32D14 = C3×Dic7⋊C4central extension (φ=1)336(C2xC6).32D14336,66
(C2×C6).33D14 = C3×C4⋊Dic7central extension (φ=1)336(C2xC6).33D14336,67
(C2×C6).34D14 = C3×D14⋊C4central extension (φ=1)168(C2xC6).34D14336,68
(C2×C6).35D14 = C3×C23.D7central extension (φ=1)168(C2xC6).35D14336,73
(C2×C6).36D14 = C6×Dic14central extension (φ=1)336(C2xC6).36D14336,174
(C2×C6).37D14 = D7×C2×C12central extension (φ=1)168(C2xC6).37D14336,175
(C2×C6).38D14 = C6×D28central extension (φ=1)168(C2xC6).38D14336,176
(C2×C6).39D14 = C2×C6×Dic7central extension (φ=1)336(C2xC6).39D14336,182

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