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Extensions 1→N→G→Q→1 with N=C2×C8⋊D7 and Q=C2

Direct product G=N×Q with N=C2×C8⋊D7 and Q=C2
dρLabelID
C22×C8⋊D7224C2^2xC8:D7448,1190

Semidirect products G=N:Q with N=C2×C8⋊D7 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C8⋊D7)⋊1C2 = D8⋊10D14φ: C2/C1 → C2 ⊆ Out C2×C8⋊D71124(C2xC8:D7):1C2448,1221
(C2×C8⋊D7)⋊2C2 = C56⋊7D4φ: C2/C1 → C2 ⊆ Out C2×C8⋊D7224(C2xC8:D7):2C2448,399
(C2×C8⋊D7)⋊3C2 = C56⋊8D4φ: C2/C1 → C2 ⊆ Out C2×C8⋊D7224(C2xC8:D7):3C2448,708
(C2×C8⋊D7)⋊4C2 = C2×D56⋊C2φ: C2/C1 → C2 ⊆ Out C2×C8⋊D7112(C2xC8:D7):4C2448,1212
(C2×C8⋊D7)⋊5C2 = C2×SD16⋊D7φ: C2/C1 → C2 ⊆ Out C2×C8⋊D7224(C2xC8:D7):5C2448,1213
(C2×C8⋊D7)⋊6C2 = C8⋊3D28φ: C2/C1 → C2 ⊆ Out C2×C8⋊D7224(C2xC8:D7):6C2448,420
(C2×C8⋊D7)⋊7C2 = C56⋊12D4φ: C2/C1 → C2 ⊆ Out C2×C8⋊D7224(C2xC8:D7):7C2448,693
(C2×C8⋊D7)⋊8C2 = C2×D8⋊D7φ: C2/C1 → C2 ⊆ Out C2×C8⋊D7112(C2xC8:D7):8C2448,1208
(C2×C8⋊D7)⋊9C2 = C2×Q16⋊D7φ: C2/C1 → C2 ⊆ Out C2×C8⋊D7224(C2xC8:D7):9C2448,1217
(C2×C8⋊D7)⋊10C2 = C8⋊6D28φ: C2/C1 → C2 ⊆ Out C2×C8⋊D7224(C2xC8:D7):10C2448,222
(C2×C8⋊D7)⋊11C2 = D14⋊M4(2)φ: C2/C1 → C2 ⊆ Out C2×C8⋊D7112(C2xC8:D7):11C2448,260
(C2×C8⋊D7)⋊12C2 = D14⋊C8⋊C2φ: C2/C1 → C2 ⊆ Out C2×C8⋊D7224(C2xC8:D7):12C2448,261
(C2×C8⋊D7)⋊13C2 = Dic7⋊M4(2)φ: C2/C1 → C2 ⊆ Out C2×C8⋊D7224(C2xC8:D7):13C2448,263
(C2×C8⋊D7)⋊14C2 = C7⋊C8⋊26D4φ: C2/C1 → C2 ⊆ Out C2×C8⋊D7224(C2xC8:D7):14C2448,264
(C2×C8⋊D7)⋊15C2 = (D4×D7)⋊C4φ: C2/C1 → C2 ⊆ Out C2×C8⋊D7112(C2xC8:D7):15C2448,304
(C2×C8⋊D7)⋊16C2 = D4⋊(C4×D7)φ: C2/C1 → C2 ⊆ Out C2×C8⋊D7224(C2xC8:D7):16C2448,305
(C2×C8⋊D7)⋊17C2 = C7⋊C8⋊1D4φ: C2/C1 → C2 ⊆ Out C2×C8⋊D7224(C2xC8:D7):17C2448,314
(C2×C8⋊D7)⋊18C2 = C7⋊C8⋊D4φ: C2/C1 → C2 ⊆ Out C2×C8⋊D7224(C2xC8:D7):18C2448,316
(C2×C8⋊D7)⋊19C2 = Q8⋊(C4×D7)φ: C2/C1 → C2 ⊆ Out C2×C8⋊D7224(C2xC8:D7):19C2448,337
(C2×C8⋊D7)⋊20C2 = C7⋊(C8⋊D4)φ: C2/C1 → C2 ⊆ Out C2×C8⋊D7224(C2xC8:D7):20C2448,346
(C2×C8⋊D7)⋊21C2 = D14⋊3M4(2)φ: C2/C1 → C2 ⊆ Out C2×C8⋊D7224(C2xC8:D7):21C2448,370
(C2×C8⋊D7)⋊22C2 = C28⋊2M4(2)φ: C2/C1 → C2 ⊆ Out C2×C8⋊D7224(C2xC8:D7):22C2448,372
(C2×C8⋊D7)⋊23C2 = C56⋊32D4φ: C2/C1 → C2 ⊆ Out C2×C8⋊D7224(C2xC8:D7):23C2448,645
(C2×C8⋊D7)⋊24C2 = C8⋊9D28φ: C2/C1 → C2 ⊆ Out C2×C8⋊D7224(C2xC8:D7):24C2448,240
(C2×C8⋊D7)⋊25C2 = C56⋊18D4φ: C2/C1 → C2 ⊆ Out C2×C8⋊D7224(C2xC8:D7):25C2448,662
(C2×C8⋊D7)⋊26C2 = C2×D7×M4(2)φ: C2/C1 → C2 ⊆ Out C2×C8⋊D7112(C2xC8:D7):26C2448,1196
(C2×C8⋊D7)⋊27C2 = C2×D28.C4φ: C2/C1 → C2 ⊆ Out C2×C8⋊D7224(C2xC8:D7):27C2448,1197
(C2×C8⋊D7)⋊28C2 = C56.49C23φ: C2/C1 → C2 ⊆ Out C2×C8⋊D71124(C2xC8:D7):28C2448,1203
(C2×C8⋊D7)⋊29C2 = C2×D28.2C4φ: trivial image224(C2xC8:D7):29C2448,1191

Non-split extensions G=N.Q with N=C2×C8⋊D7 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C8⋊D7).1C2 = M4(2).25D14φ: C2/C1 → C2 ⊆ Out C2×C8⋊D71124(C2xC8:D7).1C2448,427
(C2×C8⋊D7).2C2 = C8⋊(C4×D7)φ: C2/C1 → C2 ⊆ Out C2×C8⋊D7224(C2xC8:D7).2C2448,395
(C2×C8⋊D7).3C2 = C8.2D28φ: C2/C1 → C2 ⊆ Out C2×C8⋊D7224(C2xC8:D7).3C2448,402
(C2×C8⋊D7).4C2 = C56⋊(C2×C4)φ: C2/C1 → C2 ⊆ Out C2×C8⋊D7224(C2xC8:D7).4C2448,415
(C2×C8⋊D7).5C2 = C56.36D4φ: C2/C1 → C2 ⊆ Out C2×C8⋊D7224(C2xC8:D7).5C2448,723
(C2×C8⋊D7).6C2 = (Q8×D7)⋊C4φ: C2/C1 → C2 ⊆ Out C2×C8⋊D7224(C2xC8:D7).6C2448,336
(C2×C8⋊D7).7C2 = C7⋊C8.D4φ: C2/C1 → C2 ⊆ Out C2×C8⋊D7224(C2xC8:D7).7C2448,350
(C2×C8⋊D7).8C2 = C28⋊M4(2)φ: C2/C1 → C2 ⊆ Out C2×C8⋊D7224(C2xC8:D7).8C2448,371
(C2×C8⋊D7).9C2 = C42.30D14φ: C2/C1 → C2 ⊆ Out C2×C8⋊D7224(C2xC8:D7).9C2448,373
(C2×C8⋊D7).10C2 = M5(2)⋊D7φ: C2/C1 → C2 ⊆ Out C2×C8⋊D71124(C2xC8:D7).10C2448,71
(C2×C8⋊D7).11C2 = Dic7.C42φ: C2/C1 → C2 ⊆ Out C2×C8⋊D7224(C2xC8:D7).11C2448,241
(C2×C8⋊D7).12C2 = D14.4C42φ: C2/C1 → C2 ⊆ Out C2×C8⋊D7224(C2xC8:D7).12C2448,242
(C2×C8⋊D7).13C2 = C4×C8⋊D7φ: trivial image224(C2xC8:D7).13C2448,221
(C2×C8⋊D7).14C2 = D14.C42φ: trivial image224(C2xC8:D7).14C2448,223

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