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Extensions 1→N→G→Q→1 with N=C2×C23.D5 and Q=C2

Direct product G=N×Q with N=C2×C23.D5 and Q=C2
dρLabelID
C22×C23.D5160C2^2xC2^3.D5320,1511

Semidirect products G=N:Q with N=C2×C23.D5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C23.D5)⋊1C2 = C2×C22.2D20φ: C2/C1 → C2 ⊆ Out C2×C23.D580(C2xC2^3.D5):1C2320,581
(C2×C23.D5)⋊2C2 = C23.44D20φ: C2/C1 → C2 ⊆ Out C2×C23.D580(C2xC2^3.D5):2C2320,582
(C2×C23.D5)⋊3C2 = C24.12D10φ: C2/C1 → C2 ⊆ Out C2×C23.D5160(C2xC2^3.D5):3C2320,583
(C2×C23.D5)⋊4C2 = C24.13D10φ: C2/C1 → C2 ⊆ Out C2×C23.D5160(C2xC2^3.D5):4C2320,584
(C2×C23.D5)⋊5C2 = C24.14D10φ: C2/C1 → C2 ⊆ Out C2×C23.D5160(C2xC2^3.D5):5C2320,586
(C2×C23.D5)⋊6C2 = C24.16D10φ: C2/C1 → C2 ⊆ Out C2×C23.D5160(C2xC2^3.D5):6C2320,588
(C2×C23.D5)⋊7C2 = C23.28D20φ: C2/C1 → C2 ⊆ Out C2×C23.D5160(C2xC2^3.D5):7C2320,840
(C2×C23.D5)⋊8C2 = C2×C23⋊Dic5φ: C2/C1 → C2 ⊆ Out C2×C23.D580(C2xC2^3.D5):8C2320,846
(C2×C23.D5)⋊9C2 = C24.18D10φ: C2/C1 → C2 ⊆ Out C2×C23.D5160(C2xC2^3.D5):9C2320,847
(C2×C23.D5)⋊10C2 = C24.19D10φ: C2/C1 → C2 ⊆ Out C2×C23.D5160(C2xC2^3.D5):10C2320,848
(C2×C23.D5)⋊11C2 = C24.20D10φ: C2/C1 → C2 ⊆ Out C2×C23.D5160(C2xC2^3.D5):11C2320,849
(C2×C23.D5)⋊12C2 = C24.21D10φ: C2/C1 → C2 ⊆ Out C2×C23.D5160(C2xC2^3.D5):12C2320,850
(C2×C23.D5)⋊13C2 = C25.2D5φ: C2/C1 → C2 ⊆ Out C2×C23.D580(C2xC2^3.D5):13C2320,874
(C2×C23.D5)⋊14C2 = C2×D5×C22⋊C4φ: C2/C1 → C2 ⊆ Out C2×C23.D580(C2xC2^3.D5):14C2320,1156
(C2×C23.D5)⋊15C2 = C24.24D10φ: C2/C1 → C2 ⊆ Out C2×C23.D580(C2xC2^3.D5):15C2320,1158
(C2×C23.D5)⋊16C2 = C2×D10.12D4φ: C2/C1 → C2 ⊆ Out C2×C23.D5160(C2xC2^3.D5):16C2320,1160
(C2×C23.D5)⋊17C2 = C2×Dic5.5D4φ: C2/C1 → C2 ⊆ Out C2×C23.D5160(C2xC2^3.D5):17C2320,1163
(C2×C23.D5)⋊18C2 = C24.31D10φ: C2/C1 → C2 ⊆ Out C2×C23.D580(C2xC2^3.D5):18C2320,1167
(C2×C23.D5)⋊19C2 = C24.32D10φ: C2/C1 → C2 ⊆ Out C2×C23.D580(C2xC2^3.D5):19C2320,1259
(C2×C23.D5)⋊20C2 = C24.33D10φ: C2/C1 → C2 ⊆ Out C2×C23.D580(C2xC2^3.D5):20C2320,1263
(C2×C23.D5)⋊21C2 = C24.35D10φ: C2/C1 → C2 ⊆ Out C2×C23.D580(C2xC2^3.D5):21C2320,1265
(C2×C23.D5)⋊22C2 = C2×C23.23D10φ: C2/C1 → C2 ⊆ Out C2×C23.D5160(C2xC2^3.D5):22C2320,1461
(C2×C23.D5)⋊23C2 = C2×D4×Dic5φ: C2/C1 → C2 ⊆ Out C2×C23.D5160(C2xC2^3.D5):23C2320,1467
(C2×C23.D5)⋊24C2 = C2×C23.18D10φ: C2/C1 → C2 ⊆ Out C2×C23.D5160(C2xC2^3.D5):24C2320,1468
(C2×C23.D5)⋊25C2 = C2×C20.17D4φ: C2/C1 → C2 ⊆ Out C2×C23.D5160(C2xC2^3.D5):25C2320,1469
(C2×C23.D5)⋊26C2 = C24.38D10φ: C2/C1 → C2 ⊆ Out C2×C23.D580(C2xC2^3.D5):26C2320,1470
(C2×C23.D5)⋊27C2 = C2×C23⋊D10φ: C2/C1 → C2 ⊆ Out C2×C23.D580(C2xC2^3.D5):27C2320,1471
(C2×C23.D5)⋊28C2 = C2×C20⋊2D4φ: C2/C1 → C2 ⊆ Out C2×C23.D5160(C2xC2^3.D5):28C2320,1472
(C2×C23.D5)⋊29C2 = C2×Dic5⋊D4φ: C2/C1 → C2 ⊆ Out C2×C23.D5160(C2xC2^3.D5):29C2320,1474
(C2×C23.D5)⋊30C2 = C24⋊8D10φ: C2/C1 → C2 ⊆ Out C2×C23.D580(C2xC2^3.D5):30C2320,1476
(C2×C23.D5)⋊31C2 = C24.42D10φ: C2/C1 → C2 ⊆ Out C2×C23.D580(C2xC2^3.D5):31C2320,1478
(C2×C23.D5)⋊32C2 = C2×C24⋊2D5φ: C2/C1 → C2 ⊆ Out C2×C23.D580(C2xC2^3.D5):32C2320,1512
(C2×C23.D5)⋊33C2 = C2×C4×C5⋊D4φ: trivial image160(C2xC2^3.D5):33C2320,1460

Non-split extensions G=N.Q with N=C2×C23.D5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C23.D5).1C2 = C23.8D20φ: C2/C1 → C2 ⊆ Out C2×C23.D580(C2xC2^3.D5).1C2320,84
(C2×C23.D5).2C2 = C24.D10φ: C2/C1 → C2 ⊆ Out C2×C23.D580(C2xC2^3.D5).2C2320,85
(C2×C23.D5).3C2 = C22⋊C4×Dic5φ: C2/C1 → C2 ⊆ Out C2×C23.D5160(C2xC2^3.D5).3C2320,568
(C2×C23.D5).4C2 = C24.44D10φ: C2/C1 → C2 ⊆ Out C2×C23.D5160(C2xC2^3.D5).4C2320,569
(C2×C23.D5).5C2 = C23.42D20φ: C2/C1 → C2 ⊆ Out C2×C23.D5160(C2xC2^3.D5).5C2320,570
(C2×C23.D5).6C2 = C24.3D10φ: C2/C1 → C2 ⊆ Out C2×C23.D5160(C2xC2^3.D5).6C2320,571
(C2×C23.D5).7C2 = C24.4D10φ: C2/C1 → C2 ⊆ Out C2×C23.D5160(C2xC2^3.D5).7C2320,572
(C2×C23.D5).8C2 = C24.46D10φ: C2/C1 → C2 ⊆ Out C2×C23.D5160(C2xC2^3.D5).8C2320,573
(C2×C23.D5).9C2 = C23⋊Dic10φ: C2/C1 → C2 ⊆ Out C2×C23.D5160(C2xC2^3.D5).9C2320,574
(C2×C23.D5).10C2 = C24.6D10φ: C2/C1 → C2 ⊆ Out C2×C23.D5160(C2xC2^3.D5).10C2320,575
(C2×C23.D5).11C2 = C24.7D10φ: C2/C1 → C2 ⊆ Out C2×C23.D5160(C2xC2^3.D5).11C2320,576
(C2×C23.D5).12C2 = C24.47D10φ: C2/C1 → C2 ⊆ Out C2×C23.D5160(C2xC2^3.D5).12C2320,577
(C2×C23.D5).13C2 = C24.8D10φ: C2/C1 → C2 ⊆ Out C2×C23.D5160(C2xC2^3.D5).13C2320,578
(C2×C23.D5).14C2 = C24.9D10φ: C2/C1 → C2 ⊆ Out C2×C23.D5160(C2xC2^3.D5).14C2320,579
(C2×C23.D5).15C2 = C24.10D10φ: C2/C1 → C2 ⊆ Out C2×C23.D5160(C2xC2^3.D5).15C2320,580
(C2×C23.D5).16C2 = C24.62D10φ: C2/C1 → C2 ⊆ Out C2×C23.D5160(C2xC2^3.D5).16C2320,837
(C2×C23.D5).17C2 = C24.63D10φ: C2/C1 → C2 ⊆ Out C2×C23.D5160(C2xC2^3.D5).17C2320,838
(C2×C23.D5).18C2 = C23.27D20φ: C2/C1 → C2 ⊆ Out C2×C23.D5160(C2xC2^3.D5).18C2320,839
(C2×C23.D5).19C2 = C2×C23.11D10φ: C2/C1 → C2 ⊆ Out C2×C23.D5160(C2xC2^3.D5).19C2320,1152
(C2×C23.D5).20C2 = C2×Dic5.14D4φ: C2/C1 → C2 ⊆ Out C2×C23.D5160(C2xC2^3.D5).20C2320,1153
(C2×C23.D5).21C2 = C2×C23.D10φ: C2/C1 → C2 ⊆ Out C2×C23.D5160(C2xC2^3.D5).21C2320,1154
(C2×C23.D5).22C2 = C23⋊2Dic10φ: C2/C1 → C2 ⊆ Out C2×C23.D580(C2xC2^3.D5).22C2320,1155
(C2×C23.D5).23C2 = C2×C20.48D4φ: C2/C1 → C2 ⊆ Out C2×C23.D5160(C2xC2^3.D5).23C2320,1456
(C2×C23.D5).24C2 = C24.F5φ: C2/C1 → C2 ⊆ Out C2×C23.D580(C2xC2^3.D5).24C2320,271
(C2×C23.D5).25C2 = C4×C23.D5φ: trivial image160(C2xC2^3.D5).25C2320,836
(C2×C23.D5).26C2 = C2×C23.21D10φ: trivial image160(C2xC2^3.D5).26C2320,1458

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