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Extensions 1→N→G→Q→1 with N=C7xC42:2C2 and Q=C2

Direct product G=NxQ with N=C7xC42:2C2 and Q=C2
dρLabelID
C14xC42:2C2224C14xC4^2:2C2448,1311

Semidirect products G=N:Q with N=C7xC42:2C2 and Q=C2
extensionφ:Q→Out NdρLabelID
(C7xC42:2C2):1C2 = C42.160D14φ: C2/C1 → C2 ⊆ Out C7xC42:2C2224(C7xC4^2:2C2):1C2448,1155
(C7xC42:2C2):2C2 = D7xC42:2C2φ: C2/C1 → C2 ⊆ Out C7xC42:2C2112(C7xC4^2:2C2):2C2448,1156
(C7xC42:2C2):3C2 = C42:23D14φ: C2/C1 → C2 ⊆ Out C7xC42:2C2112(C7xC4^2:2C2):3C2448,1157
(C7xC42:2C2):4C2 = C42:24D14φ: C2/C1 → C2 ⊆ Out C7xC42:2C2112(C7xC4^2:2C2):4C2448,1158
(C7xC42:2C2):5C2 = C42.189D14φ: C2/C1 → C2 ⊆ Out C7xC42:2C2224(C7xC4^2:2C2):5C2448,1159
(C7xC42:2C2):6C2 = C42.161D14φ: C2/C1 → C2 ⊆ Out C7xC42:2C2224(C7xC4^2:2C2):6C2448,1160
(C7xC42:2C2):7C2 = C42.162D14φ: C2/C1 → C2 ⊆ Out C7xC42:2C2224(C7xC4^2:2C2):7C2448,1161
(C7xC42:2C2):8C2 = C42.163D14φ: C2/C1 → C2 ⊆ Out C7xC42:2C2224(C7xC4^2:2C2):8C2448,1162
(C7xC42:2C2):9C2 = C42.164D14φ: C2/C1 → C2 ⊆ Out C7xC42:2C2224(C7xC4^2:2C2):9C2448,1163
(C7xC42:2C2):10C2 = C42:25D14φ: C2/C1 → C2 ⊆ Out C7xC42:2C2112(C7xC4^2:2C2):10C2448,1164
(C7xC42:2C2):11C2 = C42.165D14φ: C2/C1 → C2 ⊆ Out C7xC42:2C2224(C7xC4^2:2C2):11C2448,1165
(C7xC42:2C2):12C2 = C7xC22.32C24φ: C2/C1 → C2 ⊆ Out C7xC42:2C2112(C7xC4^2:2C2):12C2448,1321
(C7xC42:2C2):13C2 = C7xC22.33C24φ: C2/C1 → C2 ⊆ Out C7xC42:2C2224(C7xC4^2:2C2):13C2448,1322
(C7xC42:2C2):14C2 = C7xC22.36C24φ: C2/C1 → C2 ⊆ Out C7xC42:2C2224(C7xC4^2:2C2):14C2448,1325
(C7xC42:2C2):15C2 = C7xC22.45C24φ: C2/C1 → C2 ⊆ Out C7xC42:2C2112(C7xC4^2:2C2):15C2448,1334
(C7xC42:2C2):16C2 = C7xC22.46C24φ: C2/C1 → C2 ⊆ Out C7xC42:2C2224(C7xC4^2:2C2):16C2448,1335
(C7xC42:2C2):17C2 = C7xC22.47C24φ: C2/C1 → C2 ⊆ Out C7xC42:2C2224(C7xC4^2:2C2):17C2448,1336
(C7xC42:2C2):18C2 = C7xC22.50C24φ: C2/C1 → C2 ⊆ Out C7xC42:2C2224(C7xC4^2:2C2):18C2448,1339
(C7xC42:2C2):19C2 = C7xC22.54C24φ: C2/C1 → C2 ⊆ Out C7xC42:2C2112(C7xC4^2:2C2):19C2448,1343
(C7xC42:2C2):20C2 = C7xC22.57C24φ: C2/C1 → C2 ⊆ Out C7xC42:2C2224(C7xC4^2:2C2):20C2448,1346
(C7xC42:2C2):21C2 = C7xC23.36C23φ: trivial image224(C7xC4^2:2C2):21C2448,1312

Non-split extensions G=N.Q with N=C7xC42:2C2 and Q=C2
extensionφ:Q→Out NdρLabelID
(C7xC42:2C2).1C2 = C42.159D14φ: C2/C1 → C2 ⊆ Out C7xC42:2C2224(C7xC4^2:2C2).1C2448,1154
(C7xC42:2C2).2C2 = C7xC22.35C24φ: C2/C1 → C2 ⊆ Out C7xC42:2C2224(C7xC4^2:2C2).2C2448,1324

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