Extensions 1→N→G→Q→1 with N=C15 and Q=C4×D4

Direct product G=N×Q with N=C15 and Q=C4×D4
dρLabelID
D4×C60240D4xC60480,923

Semidirect products G=N:Q with N=C15 and Q=C4×D4
extensionφ:Q→Aut NdρLabelID
C151(C4×D4) = F5×D12φ: C4×D4/C4C2×C4 ⊆ Aut C15608+C15:1(C4xD4)480,995
C152(C4×D4) = D603C4φ: C4×D4/C4C2×C4 ⊆ Aut C15608+C15:2(C4xD4)480,997
C153(C4×D4) = F5×C3⋊D4φ: C4×D4/C22C2×C4 ⊆ Aut C15608C15:3(C4xD4)480,1010
C154(C4×D4) = C3⋊D4⋊F5φ: C4×D4/C22C2×C4 ⊆ Aut C15608C15:4(C4xD4)480,1012
C155(C4×D4) = Dic34D20φ: C4×D4/C2×C4C22 ⊆ Aut C15240C15:5(C4xD4)480,471
C156(C4×D4) = Dic1513D4φ: C4×D4/C2×C4C22 ⊆ Aut C15240C15:6(C4xD4)480,472
C157(C4×D4) = Dic54D12φ: C4×D4/C2×C4C22 ⊆ Aut C15240C15:7(C4xD4)480,481
C158(C4×D4) = Dic1514D4φ: C4×D4/C2×C4C22 ⊆ Aut C15240C15:8(C4xD4)480,482
C159(C4×D4) = Dic5×D12φ: C4×D4/C2×C4C22 ⊆ Aut C15240C15:9(C4xD4)480,491
C1510(C4×D4) = D6017C4φ: C4×D4/C2×C4C22 ⊆ Aut C15240C15:10(C4xD4)480,494
C1511(C4×D4) = Dic3×D20φ: C4×D4/C2×C4C22 ⊆ Aut C15240C15:11(C4xD4)480,501
C1512(C4×D4) = D6014C4φ: C4×D4/C2×C4C22 ⊆ Aut C15240C15:12(C4xD4)480,504
C1513(C4×D4) = D208Dic3φ: C4×D4/C2×C4C22 ⊆ Aut C15240C15:13(C4xD4)480,510
C1514(C4×D4) = Dic158D4φ: C4×D4/C2×C4C22 ⊆ Aut C15240C15:14(C4xD4)480,511
C1515(C4×D4) = C4×C15⋊D4φ: C4×D4/C2×C4C22 ⊆ Aut C15240C15:15(C4xD4)480,515
C1516(C4×D4) = D6⋊(C4×D5)φ: C4×D4/C2×C4C22 ⊆ Aut C15240C15:16(C4xD4)480,516
C1517(C4×D4) = C1517(C4×D4)φ: C4×D4/C2×C4C22 ⊆ Aut C15240C15:17(C4xD4)480,517
C1518(C4×D4) = Dic159D4φ: C4×D4/C2×C4C22 ⊆ Aut C15240C15:18(C4xD4)480,518
C1519(C4×D4) = C4×C3⋊D20φ: C4×D4/C2×C4C22 ⊆ Aut C15240C15:19(C4xD4)480,519
C1520(C4×D4) = C1520(C4×D4)φ: C4×D4/C2×C4C22 ⊆ Aut C15240C15:20(C4xD4)480,520
C1521(C4×D4) = C4×C5⋊D12φ: C4×D4/C2×C4C22 ⊆ Aut C15240C15:21(C4xD4)480,521
C1522(C4×D4) = C1522(C4×D4)φ: C4×D4/C2×C4C22 ⊆ Aut C15240C15:22(C4xD4)480,522
C1523(C4×D4) = D4×C3⋊F5φ: C4×D4/D4C4 ⊆ Aut C15608C15:23(C4xD4)480,1067
C1524(C4×D4) = C3×D4×F5φ: C4×D4/D4C4 ⊆ Aut C15608C15:24(C4xD4)480,1054
C1525(C4×D4) = Dic5×C3⋊D4φ: C4×D4/C23C22 ⊆ Aut C15240C15:25(C4xD4)480,627
C1526(C4×D4) = C1526(C4×D4)φ: C4×D4/C23C22 ⊆ Aut C15240C15:26(C4xD4)480,628
C1527(C4×D4) = Dic3×C5⋊D4φ: C4×D4/C23C22 ⊆ Aut C15240C15:27(C4xD4)480,629
C1528(C4×D4) = C1528(C4×D4)φ: C4×D4/C23C22 ⊆ Aut C15240C15:28(C4xD4)480,632
C1529(C4×D4) = Dic1516D4φ: C4×D4/C23C22 ⊆ Aut C15240C15:29(C4xD4)480,635
C1530(C4×D4) = Dic1517D4φ: C4×D4/C23C22 ⊆ Aut C15240C15:30(C4xD4)480,636
C1531(C4×D4) = C4×D60φ: C4×D4/C42C2 ⊆ Aut C15240C15:31(C4xD4)480,838
C1532(C4×D4) = C12×D20φ: C4×D4/C42C2 ⊆ Aut C15240C15:32(C4xD4)480,666
C1533(C4×D4) = C20×D12φ: C4×D4/C42C2 ⊆ Aut C15240C15:33(C4xD4)480,752
C1534(C4×D4) = Dic1519D4φ: C4×D4/C22⋊C4C2 ⊆ Aut C15240C15:34(C4xD4)480,846
C1535(C4×D4) = C3×Dic54D4φ: C4×D4/C22⋊C4C2 ⊆ Aut C15240C15:35(C4xD4)480,674
C1536(C4×D4) = C5×Dic34D4φ: C4×D4/C22⋊C4C2 ⊆ Aut C15240C15:36(C4xD4)480,760
C1537(C4×D4) = D6011C4φ: C4×D4/C4⋊C4C2 ⊆ Aut C15240C15:37(C4xD4)480,858
C1538(C4×D4) = C3×D208C4φ: C4×D4/C4⋊C4C2 ⊆ Aut C15240C15:38(C4xD4)480,686
C1539(C4×D4) = C5×Dic35D4φ: C4×D4/C4⋊C4C2 ⊆ Aut C15240C15:39(C4xD4)480,772
C1540(C4×D4) = C4×C157D4φ: C4×D4/C22×C4C2 ⊆ Aut C15240C15:40(C4xD4)480,893
C1541(C4×D4) = C12×C5⋊D4φ: C4×D4/C22×C4C2 ⊆ Aut C15240C15:41(C4xD4)480,721
C1542(C4×D4) = C20×C3⋊D4φ: C4×D4/C22×C4C2 ⊆ Aut C15240C15:42(C4xD4)480,807
C1543(C4×D4) = D4×Dic15φ: C4×D4/C2×D4C2 ⊆ Aut C15240C15:43(C4xD4)480,899
C1544(C4×D4) = C3×D4×Dic5φ: C4×D4/C2×D4C2 ⊆ Aut C15240C15:44(C4xD4)480,727
C1545(C4×D4) = C5×D4×Dic3φ: C4×D4/C2×D4C2 ⊆ Aut C15240C15:45(C4xD4)480,813


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