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Extensions 1→N→G→Q→1 with N=D5×C22×C4 and Q=C2

Direct product G=N×Q with N=D5×C22×C4 and Q=C2
dρLabelID
D5×C23×C4160D5xC2^3xC4320,1609

Semidirect products G=N:Q with N=D5×C22×C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(D5×C22×C4)⋊1C2 = C2×C4⋊D20φ: C2/C1 → C2 ⊆ Out D5×C22×C4160(D5xC2^2xC4):1C2320,1178
(D5×C22×C4)⋊2C2 = C42⋊8D10φ: C2/C1 → C2 ⊆ Out D5×C22×C480(D5xC2^2xC4):2C2320,1196
(D5×C22×C4)⋊3C2 = D5×C4⋊D4φ: C2/C1 → C2 ⊆ Out D5×C22×C480(D5xC2^2xC4):3C2320,1276
(D5×C22×C4)⋊4C2 = C4⋊C4⋊21D10φ: C2/C1 → C2 ⊆ Out D5×C22×C480(D5xC2^2xC4):4C2320,1278
(D5×C22×C4)⋊5C2 = C4⋊C4⋊26D10φ: C2/C1 → C2 ⊆ Out D5×C22×C480(D5xC2^2xC4):5C2320,1299
(D5×C22×C4)⋊6C2 = C2×C20⋊2D4φ: C2/C1 → C2 ⊆ Out D5×C22×C4160(D5xC2^2xC4):6C2320,1472
(D5×C22×C4)⋊7C2 = (C2×C20)⋊15D4φ: C2/C1 → C2 ⊆ Out D5×C22×C480(D5xC2^2xC4):7C2320,1500
(D5×C22×C4)⋊8C2 = C22×D4×D5φ: C2/C1 → C2 ⊆ Out D5×C22×C480(D5xC2^2xC4):8C2320,1612
(D5×C22×C4)⋊9C2 = C22×D4⋊2D5φ: C2/C1 → C2 ⊆ Out D5×C22×C4160(D5xC2^2xC4):9C2320,1613
(D5×C22×C4)⋊10C2 = C22×Q8⋊2D5φ: C2/C1 → C2 ⊆ Out D5×C22×C4160(D5xC2^2xC4):10C2320,1616
(D5×C22×C4)⋊11C2 = C2×D5×C4○D4φ: C2/C1 → C2 ⊆ Out D5×C22×C480(D5xC2^2xC4):11C2320,1618
(D5×C22×C4)⋊12C2 = (C2×C4)⋊9D20φ: C2/C1 → C2 ⊆ Out D5×C22×C4160(D5xC2^2xC4):12C2320,292
(D5×C22×C4)⋊13C2 = C24.12D10φ: C2/C1 → C2 ⊆ Out D5×C22×C4160(D5xC2^2xC4):13C2320,583
(D5×C22×C4)⋊14C2 = C2×C4×D20φ: C2/C1 → C2 ⊆ Out D5×C22×C4160(D5xC2^2xC4):14C2320,1145
(D5×C22×C4)⋊15C2 = C2×D5×C22⋊C4φ: C2/C1 → C2 ⊆ Out D5×C22×C480(D5xC2^2xC4):15C2320,1156
(D5×C22×C4)⋊16C2 = C2×Dic5⋊4D4φ: C2/C1 → C2 ⊆ Out D5×C22×C4160(D5xC2^2xC4):16C2320,1157
(D5×C22×C4)⋊17C2 = C2×D10.12D4φ: C2/C1 → C2 ⊆ Out D5×C22×C4160(D5xC2^2xC4):17C2320,1160
(D5×C22×C4)⋊18C2 = C2×D10⋊D4φ: C2/C1 → C2 ⊆ Out D5×C22×C4160(D5xC2^2xC4):18C2320,1161
(D5×C22×C4)⋊19C2 = C2×D20⋊8C4φ: C2/C1 → C2 ⊆ Out D5×C22×C4160(D5xC2^2xC4):19C2320,1175
(D5×C22×C4)⋊20C2 = C2×D10.13D4φ: C2/C1 → C2 ⊆ Out D5×C22×C4160(D5xC2^2xC4):20C2320,1177
(D5×C22×C4)⋊21C2 = C4×D4×D5φ: C2/C1 → C2 ⊆ Out D5×C22×C480(D5xC2^2xC4):21C2320,1216
(D5×C22×C4)⋊22C2 = C42⋊12D10φ: C2/C1 → C2 ⊆ Out D5×C22×C480(D5xC2^2xC4):22C2320,1219
(D5×C22×C4)⋊23C2 = D5×C22.D4φ: C2/C1 → C2 ⊆ Out D5×C22×C480(D5xC2^2xC4):23C2320,1324
(D5×C22×C4)⋊24C2 = C4⋊C4⋊28D10φ: C2/C1 → C2 ⊆ Out D5×C22×C480(D5xC2^2xC4):24C2320,1328
(D5×C22×C4)⋊25C2 = C2×C4×C5⋊D4φ: C2/C1 → C2 ⊆ Out D5×C22×C4160(D5xC2^2xC4):25C2320,1460
(D5×C22×C4)⋊26C2 = C22×C4○D20φ: C2/C1 → C2 ⊆ Out D5×C22×C4160(D5xC2^2xC4):26C2320,1611

Non-split extensions G=N.Q with N=D5×C22×C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(D5×C22×C4).1C2 = D10⋊4(C4⋊C4)φ: C2/C1 → C2 ⊆ Out D5×C22×C4160(D5xC2^2xC4).1C2320,614
(D5×C22×C4).2C2 = D10⋊8M4(2)φ: C2/C1 → C2 ⊆ Out D5×C22×C480(D5xC2^2xC4).2C2320,753
(D5×C22×C4).3C2 = C2×D5×C4⋊C4φ: C2/C1 → C2 ⊆ Out D5×C22×C4160(D5xC2^2xC4).3C2320,1173
(D5×C22×C4).4C2 = C2×C4⋊C4⋊7D5φ: C2/C1 → C2 ⊆ Out D5×C22×C4160(D5xC2^2xC4).4C2320,1174
(D5×C22×C4).5C2 = C2×D10⋊2Q8φ: C2/C1 → C2 ⊆ Out D5×C22×C4160(D5xC2^2xC4).5C2320,1181
(D5×C22×C4).6C2 = D5×C42⋊C2φ: C2/C1 → C2 ⊆ Out D5×C22×C480(D5xC2^2xC4).6C2320,1192
(D5×C22×C4).7C2 = D5×C22⋊Q8φ: C2/C1 → C2 ⊆ Out D5×C22×C480(D5xC2^2xC4).7C2320,1298
(D5×C22×C4).8C2 = C2×D5×M4(2)φ: C2/C1 → C2 ⊆ Out D5×C22×C480(D5xC2^2xC4).8C2320,1415
(D5×C22×C4).9C2 = C2×D10⋊3Q8φ: C2/C1 → C2 ⊆ Out D5×C22×C4160(D5xC2^2xC4).9C2320,1485
(D5×C22×C4).10C2 = C22×Q8×D5φ: C2/C1 → C2 ⊆ Out D5×C22×C4160(D5xC2^2xC4).10C2320,1615
(D5×C22×C4).11C2 = D5×C2.C42φ: C2/C1 → C2 ⊆ Out D5×C22×C4160(D5xC2^2xC4).11C2320,290
(D5×C22×C4).12C2 = C22.58(D4×D5)φ: C2/C1 → C2 ⊆ Out D5×C22×C4160(D5xC2^2xC4).12C2320,291
(D5×C22×C4).13C2 = D10⋊2C42φ: C2/C1 → C2 ⊆ Out D5×C22×C4160(D5xC2^2xC4).13C2320,293
(D5×C22×C4).14C2 = D10⋊2(C4⋊C4)φ: C2/C1 → C2 ⊆ Out D5×C22×C4160(D5xC2^2xC4).14C2320,294
(D5×C22×C4).15C2 = D10⋊3(C4⋊C4)φ: C2/C1 → C2 ⊆ Out D5×C22×C4160(D5xC2^2xC4).15C2320,295
(D5×C22×C4).16C2 = D5×C22⋊C8φ: C2/C1 → C2 ⊆ Out D5×C22×C480(D5xC2^2xC4).16C2320,351
(D5×C22×C4).17C2 = D10⋊7M4(2)φ: C2/C1 → C2 ⊆ Out D5×C22×C480(D5xC2^2xC4).17C2320,353
(D5×C22×C4).18C2 = C4×D10⋊C4φ: C2/C1 → C2 ⊆ Out D5×C22×C4160(D5xC2^2xC4).18C2320,565
(D5×C22×C4).19C2 = D10⋊5(C4⋊C4)φ: C2/C1 → C2 ⊆ Out D5×C22×C4160(D5xC2^2xC4).19C2320,616
(D5×C22×C4).20C2 = C2×D10⋊1C8φ: C2/C1 → C2 ⊆ Out D5×C22×C4160(D5xC2^2xC4).20C2320,735
(D5×C22×C4).21C2 = C2×D10⋊C8φ: C2/C1 → C2 ⊆ Out D5×C22×C4160(D5xC2^2xC4).21C2320,1089
(D5×C22×C4).22C2 = D10⋊9M4(2)φ: C2/C1 → C2 ⊆ Out D5×C22×C480(D5xC2^2xC4).22C2320,1093
(D5×C22×C4).23C2 = C2×D10.3Q8φ: C2/C1 → C2 ⊆ Out D5×C22×C480(D5xC2^2xC4).23C2320,1100
(D5×C22×C4).24C2 = (C22×C4)⋊7F5φ: C2/C1 → C2 ⊆ Out D5×C22×C480(D5xC2^2xC4).24C2320,1102
(D5×C22×C4).25C2 = C2×C42⋊D5φ: C2/C1 → C2 ⊆ Out D5×C22×C4160(D5xC2^2xC4).25C2320,1144
(D5×C22×C4).26C2 = C2×D10⋊Q8φ: C2/C1 → C2 ⊆ Out D5×C22×C4160(D5xC2^2xC4).26C2320,1180
(D5×C22×C4).27C2 = C22×C8⋊D5φ: C2/C1 → C2 ⊆ Out D5×C22×C4160(D5xC2^2xC4).27C2320,1409
(D5×C22×C4).28C2 = D10⋊10M4(2)φ: C2/C1 → C2 ⊆ Out D5×C22×C480(D5xC2^2xC4).28C2320,1094
(D5×C22×C4).29C2 = D10⋊6(C4⋊C4)φ: C2/C1 → C2 ⊆ Out D5×C22×C480(D5xC2^2xC4).29C2320,1103
(D5×C22×C4).30C2 = C22×C4.F5φ: C2/C1 → C2 ⊆ Out D5×C22×C4160(D5xC2^2xC4).30C2320,1588
(D5×C22×C4).31C2 = C22×C4⋊F5φ: C2/C1 → C2 ⊆ Out D5×C22×C480(D5xC2^2xC4).31C2320,1591
(D5×C22×C4).32C2 = C2×D5⋊M4(2)φ: C2/C1 → C2 ⊆ Out D5×C22×C480(D5xC2^2xC4).32C2320,1589
(D5×C22×C4).33C2 = C2×D10.C23φ: C2/C1 → C2 ⊆ Out D5×C22×C480(D5xC2^2xC4).33C2320,1592
(D5×C22×C4).34C2 = D10.11M4(2)φ: C2/C1 → C2 ⊆ Out D5×C22×C480(D5xC2^2xC4).34C2320,1091
(D5×C22×C4).35C2 = C4×C22⋊F5φ: C2/C1 → C2 ⊆ Out D5×C22×C480(D5xC2^2xC4).35C2320,1101
(D5×C22×C4).36C2 = C22×D5⋊C8φ: C2/C1 → C2 ⊆ Out D5×C22×C4160(D5xC2^2xC4).36C2320,1587
(D5×C22×C4).37C2 = C22×C4×F5φ: C2/C1 → C2 ⊆ Out D5×C22×C480(D5xC2^2xC4).37C2320,1590
(D5×C22×C4).38C2 = D5×C2×C42φ: trivial image160(D5xC2^2xC4).38C2320,1143
(D5×C22×C4).39C2 = D5×C22×C8φ: trivial image160(D5xC2^2xC4).39C2320,1408

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