# Extensions 1→N→G→Q→1 with N=Q8×C14 and Q=C2

Direct product G=N×Q with N=Q8×C14 and Q=C2
dρLabelID
Q8×C2×C14224Q8xC2xC14224,191

Semidirect products G=N:Q with N=Q8×C14 and Q=C2
extensionφ:Q→Out NdρLabelID
(Q8×C14)⋊1C2 = C2×Q8⋊D7φ: C2/C1C2 ⊆ Out Q8×C14112(Q8xC14):1C2224,136
(Q8×C14)⋊2C2 = C28.C23φ: C2/C1C2 ⊆ Out Q8×C141124(Q8xC14):2C2224,137
(Q8×C14)⋊3C2 = D143Q8φ: C2/C1C2 ⊆ Out Q8×C14112(Q8xC14):3C2224,141
(Q8×C14)⋊4C2 = C28.23D4φ: C2/C1C2 ⊆ Out Q8×C14112(Q8xC14):4C2224,142
(Q8×C14)⋊5C2 = C2×Q8×D7φ: C2/C1C2 ⊆ Out Q8×C14112(Q8xC14):5C2224,181
(Q8×C14)⋊6C2 = C2×Q82D7φ: C2/C1C2 ⊆ Out Q8×C14112(Q8xC14):6C2224,182
(Q8×C14)⋊7C2 = Q8.10D14φ: C2/C1C2 ⊆ Out Q8×C141124(Q8xC14):7C2224,183
(Q8×C14)⋊8C2 = C7×C22⋊Q8φ: C2/C1C2 ⊆ Out Q8×C14112(Q8xC14):8C2224,157
(Q8×C14)⋊9C2 = C7×C4.4D4φ: C2/C1C2 ⊆ Out Q8×C14112(Q8xC14):9C2224,159
(Q8×C14)⋊10C2 = C14×SD16φ: C2/C1C2 ⊆ Out Q8×C14112(Q8xC14):10C2224,168
(Q8×C14)⋊11C2 = C7×C8.C22φ: C2/C1C2 ⊆ Out Q8×C141124(Q8xC14):11C2224,172
(Q8×C14)⋊12C2 = C7×2- 1+4φ: C2/C1C2 ⊆ Out Q8×C141124(Q8xC14):12C2224,194
(Q8×C14)⋊13C2 = C14×C4○D4φ: trivial image112(Q8xC14):13C2224,192

Non-split extensions G=N.Q with N=Q8×C14 and Q=C2
extensionφ:Q→Out NdρLabelID
(Q8×C14).1C2 = Q8⋊Dic7φ: C2/C1C2 ⊆ Out Q8×C14224(Q8xC14).1C2224,41
(Q8×C14).2C2 = C28.10D4φ: C2/C1C2 ⊆ Out Q8×C141124(Q8xC14).2C2224,42
(Q8×C14).3C2 = C2×C7⋊Q16φ: C2/C1C2 ⊆ Out Q8×C14224(Q8xC14).3C2224,138
(Q8×C14).4C2 = Dic7⋊Q8φ: C2/C1C2 ⊆ Out Q8×C14224(Q8xC14).4C2224,139
(Q8×C14).5C2 = Q8×Dic7φ: C2/C1C2 ⊆ Out Q8×C14224(Q8xC14).5C2224,140
(Q8×C14).6C2 = C7×C4.10D4φ: C2/C1C2 ⊆ Out Q8×C141124(Q8xC14).6C2224,50
(Q8×C14).7C2 = C7×Q8⋊C4φ: C2/C1C2 ⊆ Out Q8×C14224(Q8xC14).7C2224,52
(Q8×C14).8C2 = C7×C4⋊Q8φ: C2/C1C2 ⊆ Out Q8×C14224(Q8xC14).8C2224,163
(Q8×C14).9C2 = C14×Q16φ: C2/C1C2 ⊆ Out Q8×C14224(Q8xC14).9C2224,169
(Q8×C14).10C2 = Q8×C28φ: trivial image224(Q8xC14).10C2224,154

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