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Extensions 1→N→G→Q→1 with N=C2×Q8⋊2D7 and Q=C2

Direct product G=N×Q with N=C2×Q8⋊2D7 and Q=C2
dρLabelID
C22×Q8⋊2D7224C2^2xQ8:2D7448,1373

Semidirect products G=N:Q with N=C2×Q8⋊2D7 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×Q8⋊2D7)⋊1C2 = D28⋊4D4φ: C2/C1 → C2 ⊆ Out C2×Q8⋊2D7224(C2xQ8:2D7):1C2448,345
(C2×Q8⋊2D7)⋊2C2 = D28⋊7D4φ: C2/C1 → C2 ⊆ Out C2×Q8⋊2D7224(C2xQ8:2D7):2C2448,706
(C2×Q8⋊2D7)⋊3C2 = Q8⋊5D28φ: C2/C1 → C2 ⊆ Out C2×Q8⋊2D7224(C2xQ8:2D7):3C2448,1029
(C2×Q8⋊2D7)⋊4C2 = Q8⋊6D28φ: C2/C1 → C2 ⊆ Out C2×Q8⋊2D7224(C2xQ8:2D7):4C2448,1030
(C2×Q8⋊2D7)⋊5C2 = C4⋊C4⋊26D14φ: C2/C1 → C2 ⊆ Out C2×Q8⋊2D7112(C2xQ8:2D7):5C2448,1080
(C2×Q8⋊2D7)⋊6C2 = C14.172- 1+4φ: C2/C1 → C2 ⊆ Out C2×Q8⋊2D7224(C2xQ8:2D7):6C2448,1082
(C2×Q8⋊2D7)⋊7C2 = D28⋊21D4φ: C2/C1 → C2 ⊆ Out C2×Q8⋊2D7112(C2xQ8:2D7):7C2448,1083
(C2×Q8⋊2D7)⋊8C2 = D28⋊22D4φ: C2/C1 → C2 ⊆ Out C2×Q8⋊2D7224(C2xQ8:2D7):8C2448,1084
(C2×Q8⋊2D7)⋊9C2 = C42.233D14φ: C2/C1 → C2 ⊆ Out C2×Q8⋊2D7224(C2xQ8:2D7):9C2448,1121
(C2×Q8⋊2D7)⋊10C2 = C42⋊18D14φ: C2/C1 → C2 ⊆ Out C2×Q8⋊2D7112(C2xQ8:2D7):10C2448,1127
(C2×Q8⋊2D7)⋊11C2 = D28⋊10D4φ: C2/C1 → C2 ⊆ Out C2×Q8⋊2D7112(C2xQ8:2D7):11C2448,1129
(C2×Q8⋊2D7)⋊12C2 = C42.240D14φ: C2/C1 → C2 ⊆ Out C2×Q8⋊2D7224(C2xQ8:2D7):12C2448,1178
(C2×Q8⋊2D7)⋊13C2 = D28⋊12D4φ: C2/C1 → C2 ⊆ Out C2×Q8⋊2D7224(C2xQ8:2D7):13C2448,1179
(C2×Q8⋊2D7)⋊14C2 = C2×D56⋊C2φ: C2/C1 → C2 ⊆ Out C2×Q8⋊2D7112(C2xQ8:2D7):14C2448,1212
(C2×Q8⋊2D7)⋊15C2 = C2×SD16⋊3D7φ: C2/C1 → C2 ⊆ Out C2×Q8⋊2D7224(C2xQ8:2D7):15C2448,1214
(C2×Q8⋊2D7)⋊16C2 = C2×Q8.D14φ: C2/C1 → C2 ⊆ Out C2×Q8⋊2D7224(C2xQ8:2D7):16C2448,1218
(C2×Q8⋊2D7)⋊17C2 = D56⋊C22φ: C2/C1 → C2 ⊆ Out C2×Q8⋊2D71128+(C2xQ8:2D7):17C2448,1230
(C2×Q8⋊2D7)⋊18C2 = C14.452- 1+4φ: C2/C1 → C2 ⊆ Out C2×Q8⋊2D7224(C2xQ8:2D7):18C2448,1270
(C2×Q8⋊2D7)⋊19C2 = C14.1482+ 1+4φ: C2/C1 → C2 ⊆ Out C2×Q8⋊2D7224(C2xQ8:2D7):19C2448,1287
(C2×Q8⋊2D7)⋊20C2 = C2×Q8.10D14φ: C2/C1 → C2 ⊆ Out C2×Q8⋊2D7224(C2xQ8:2D7):20C2448,1374
(C2×Q8⋊2D7)⋊21C2 = C2×D4⋊8D14φ: C2/C1 → C2 ⊆ Out C2×Q8⋊2D7112(C2xQ8:2D7):21C2448,1376
(C2×Q8⋊2D7)⋊22C2 = D28.39C23φ: C2/C1 → C2 ⊆ Out C2×Q8⋊2D71128+(C2xQ8:2D7):22C2448,1382
(C2×Q8⋊2D7)⋊23C2 = C2×D7×C4○D4φ: trivial image112(C2xQ8:2D7):23C2448,1375

Non-split extensions G=N.Q with N=C2×Q8⋊2D7 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×Q8⋊2D7).1C2 = M4(2).21D14φ: C2/C1 → C2 ⊆ Out C2×Q8⋊2D71128+(C2xQ8:2D7).1C2448,285
(C2×Q8⋊2D7).2C2 = Q8⋊(C4×D7)φ: C2/C1 → C2 ⊆ Out C2×Q8⋊2D7224(C2xQ8:2D7).2C2448,337
(C2×Q8⋊2D7).3C2 = Q8⋊2D7⋊C4φ: C2/C1 → C2 ⊆ Out C2×Q8⋊2D7224(C2xQ8:2D7).3C2448,338
(C2×Q8⋊2D7).4C2 = Q8.D28φ: C2/C1 → C2 ⊆ Out C2×Q8⋊2D7224(C2xQ8:2D7).4C2448,344
(C2×Q8⋊2D7).5C2 = D28.17D4φ: C2/C1 → C2 ⊆ Out C2×Q8⋊2D7224(C2xQ8:2D7).5C2448,721
(C2×Q8⋊2D7).6C2 = C42.126D14φ: C2/C1 → C2 ⊆ Out C2×Q8⋊2D7224(C2xQ8:2D7).6C2448,1027
(C2×Q8⋊2D7).7C2 = C42.171D14φ: C2/C1 → C2 ⊆ Out C2×Q8⋊2D7224(C2xQ8:2D7).7C2448,1177
(C2×Q8⋊2D7).8C2 = C2×Q16⋊D7φ: C2/C1 → C2 ⊆ Out C2×Q8⋊2D7224(C2xQ8:2D7).8C2448,1217
(C2×Q8⋊2D7).9C2 = C4×Q8⋊2D7φ: trivial image224(C2xQ8:2D7).9C2448,1026

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