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Extensions 1→N→G→Q→1 with N=C7×C22.D4 and Q=C2

Direct product G=N×Q with N=C7×C22.D4 and Q=C2
dρLabelID
C14×C22.D4224C14xC2^2.D4448,1307

Semidirect products G=N:Q with N=C7×C22.D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C7×C22.D4)⋊1C2 = C22⋊C4⋊D14φ: C2/C1 → C2 ⊆ Out C7×C22.D41124(C7xC2^2.D4):1C2448,587
(C7×C22.D4)⋊2C2 = C14.792- 1+4φ: C2/C1 → C2 ⊆ Out C7×C22.D4224(C7xC2^2.D4):2C2448,1101
(C7×C22.D4)⋊3C2 = C4⋊C4.197D14φ: C2/C1 → C2 ⊆ Out C7×C22.D4224(C7xC2^2.D4):3C2448,1102
(C7×C22.D4)⋊4C2 = D7×C22.D4φ: C2/C1 → C2 ⊆ Out C7×C22.D4112(C7xC2^2.D4):4C2448,1105
(C7×C22.D4)⋊5C2 = C14.1202+ 1+4φ: C2/C1 → C2 ⊆ Out C7×C22.D4112(C7xC2^2.D4):5C2448,1106
(C7×C22.D4)⋊6C2 = C14.1212+ 1+4φ: C2/C1 → C2 ⊆ Out C7×C22.D4112(C7xC2^2.D4):6C2448,1107
(C7×C22.D4)⋊7C2 = C14.822- 1+4φ: C2/C1 → C2 ⊆ Out C7×C22.D4224(C7xC2^2.D4):7C2448,1108
(C7×C22.D4)⋊8C2 = C4⋊C4⋊28D14φ: C2/C1 → C2 ⊆ Out C7×C22.D4112(C7xC2^2.D4):8C2448,1109
(C7×C22.D4)⋊9C2 = C14.612+ 1+4φ: C2/C1 → C2 ⊆ Out C7×C22.D4112(C7xC2^2.D4):9C2448,1110
(C7×C22.D4)⋊10C2 = C14.1222+ 1+4φ: C2/C1 → C2 ⊆ Out C7×C22.D4112(C7xC2^2.D4):10C2448,1111
(C7×C22.D4)⋊11C2 = C14.622+ 1+4φ: C2/C1 → C2 ⊆ Out C7×C22.D4112(C7xC2^2.D4):11C2448,1112
(C7×C22.D4)⋊12C2 = C14.832- 1+4φ: C2/C1 → C2 ⊆ Out C7×C22.D4224(C7xC2^2.D4):12C2448,1113
(C7×C22.D4)⋊13C2 = C14.642+ 1+4φ: C2/C1 → C2 ⊆ Out C7×C22.D4224(C7xC2^2.D4):13C2448,1114
(C7×C22.D4)⋊14C2 = C14.842- 1+4φ: C2/C1 → C2 ⊆ Out C7×C22.D4224(C7xC2^2.D4):14C2448,1115
(C7×C22.D4)⋊15C2 = C14.662+ 1+4φ: C2/C1 → C2 ⊆ Out C7×C22.D4224(C7xC2^2.D4):15C2448,1116
(C7×C22.D4)⋊16C2 = C14.672+ 1+4φ: C2/C1 → C2 ⊆ Out C7×C22.D4224(C7xC2^2.D4):16C2448,1117
(C7×C22.D4)⋊17C2 = C14.852- 1+4φ: C2/C1 → C2 ⊆ Out C7×C22.D4224(C7xC2^2.D4):17C2448,1118
(C7×C22.D4)⋊18C2 = C14.682+ 1+4φ: C2/C1 → C2 ⊆ Out C7×C22.D4112(C7xC2^2.D4):18C2448,1119
(C7×C22.D4)⋊19C2 = C14.862- 1+4φ: C2/C1 → C2 ⊆ Out C7×C22.D4224(C7xC2^2.D4):19C2448,1120
(C7×C22.D4)⋊20C2 = C7×C23.7D4φ: C2/C1 → C2 ⊆ Out C7×C22.D41124(C7xC2^2.D4):20C2448,866
(C7×C22.D4)⋊21C2 = C7×C23⋊3D4φ: C2/C1 → C2 ⊆ Out C7×C22.D4112(C7xC2^2.D4):21C2448,1317
(C7×C22.D4)⋊22C2 = C7×C23.38C23φ: C2/C1 → C2 ⊆ Out C7×C22.D4224(C7xC2^2.D4):22C2448,1319
(C7×C22.D4)⋊23C2 = C7×C22.32C24φ: C2/C1 → C2 ⊆ Out C7×C22.D4112(C7xC2^2.D4):23C2448,1321
(C7×C22.D4)⋊24C2 = C7×C22.33C24φ: C2/C1 → C2 ⊆ Out C7×C22.D4224(C7xC2^2.D4):24C2448,1322
(C7×C22.D4)⋊25C2 = C7×C22.34C24φ: C2/C1 → C2 ⊆ Out C7×C22.D4224(C7xC2^2.D4):25C2448,1323
(C7×C22.D4)⋊26C2 = C7×C22.36C24φ: C2/C1 → C2 ⊆ Out C7×C22.D4224(C7xC2^2.D4):26C2448,1325
(C7×C22.D4)⋊27C2 = C7×D4⋊5D4φ: C2/C1 → C2 ⊆ Out C7×C22.D4112(C7xC2^2.D4):27C2448,1329
(C7×C22.D4)⋊28C2 = C7×D4⋊6D4φ: C2/C1 → C2 ⊆ Out C7×C22.D4224(C7xC2^2.D4):28C2448,1330
(C7×C22.D4)⋊29C2 = C7×C22.45C24φ: C2/C1 → C2 ⊆ Out C7×C22.D4112(C7xC2^2.D4):29C2448,1334
(C7×C22.D4)⋊30C2 = C7×C22.47C24φ: C2/C1 → C2 ⊆ Out C7×C22.D4224(C7xC2^2.D4):30C2448,1336
(C7×C22.D4)⋊31C2 = C7×C22.53C24φ: C2/C1 → C2 ⊆ Out C7×C22.D4224(C7xC2^2.D4):31C2448,1342
(C7×C22.D4)⋊32C2 = C7×C22.54C24φ: C2/C1 → C2 ⊆ Out C7×C22.D4112(C7xC2^2.D4):32C2448,1343
(C7×C22.D4)⋊33C2 = C7×C22.56C24φ: C2/C1 → C2 ⊆ Out C7×C22.D4224(C7xC2^2.D4):33C2448,1345
(C7×C22.D4)⋊34C2 = C7×C22.19C24φ: trivial image112(C7xC2^2.D4):34C2448,1308
(C7×C22.D4)⋊35C2 = C7×C23.36C23φ: trivial image224(C7xC2^2.D4):35C2448,1312

Non-split extensions G=N.Q with N=C7×C22.D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C7×C22.D4).1C2 = (C22×C28)⋊C4φ: C2/C1 → C2 ⊆ Out C7×C22.D41124(C7xC2^2.D4).1C2448,96
(C7×C22.D4).2C2 = C14.802- 1+4φ: C2/C1 → C2 ⊆ Out C7×C22.D4224(C7xC2^2.D4).2C2448,1103
(C7×C22.D4).3C2 = C14.602+ 1+4φ: C2/C1 → C2 ⊆ Out C7×C22.D4224(C7xC2^2.D4).3C2448,1104
(C7×C22.D4).4C2 = C7×C23.D4φ: C2/C1 → C2 ⊆ Out C7×C22.D41124(C7xC2^2.D4).4C2448,156
(C7×C22.D4).5C2 = C7×C22.46C24φ: C2/C1 → C2 ⊆ Out C7×C22.D4224(C7xC2^2.D4).5C2448,1335
(C7×C22.D4).6C2 = C7×C22.57C24φ: C2/C1 → C2 ⊆ Out C7×C22.D4224(C7xC2^2.D4).6C2448,1346

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