# Extensions 1→N→G→Q→1 with N=C23 and Q=C2×Q8

Direct product G=N×Q with N=C23 and Q=C2×Q8
dρLabelID
Q8×C24128Q8xC2^4128,2321

Semidirect products G=N:Q with N=C23 and Q=C2×Q8
extensionφ:Q→Aut NdρLabelID
C231(C2×Q8) = C23.309C24φ: C2×Q8/C4C22 ⊆ Aut C2364C2^3:1(C2xQ8)128,1141
C232(C2×Q8) = C22.90C25φ: C2×Q8/C4C22 ⊆ Aut C2332C2^3:2(C2xQ8)128,2233
C233(C2×Q8) = C2×C23⋊Q8φ: C2×Q8/C22C22 ⊆ Aut C2364C2^3:3(C2xQ8)128,1117
C234(C2×Q8) = C2×C232Q8φ: C2×Q8/C22C22 ⊆ Aut C2332C2^3:4(C2xQ8)128,2188
C235(C2×Q8) = C22×C22⋊Q8φ: C2×Q8/C2×C4C2 ⊆ Aut C2364C2^3:5(C2xQ8)128,2165
C236(C2×Q8) = C2×D4×Q8φ: C2×Q8/Q8C2 ⊆ Aut C2364C2^3:6(C2xQ8)128,2198

Non-split extensions G=N.Q with N=C23 and Q=C2×Q8
extensionφ:Q→Aut NdρLabelID
C23.1(C2×Q8) = C24.167C23φ: C2×Q8/C4C22 ⊆ Aut C2332C2^3.1(C2xQ8)128,531
C23.2(C2×Q8) = (C2×C8).103D4φ: C2×Q8/C4C22 ⊆ Aut C23324C2^3.2(C2xQ8)128,545
C23.3(C2×Q8) = M4(2).40D4φ: C2×Q8/C4C22 ⊆ Aut C23324C2^3.3(C2xQ8)128,590
C23.4(C2×Q8) = C24.22D4φ: C2×Q8/C4C22 ⊆ Aut C2332C2^3.4(C2xQ8)128,599
C23.5(C2×Q8) = M4(2).27D4φ: C2×Q8/C4C22 ⊆ Aut C23324C2^3.5(C2xQ8)128,685
C23.6(C2×Q8) = C24.176C23φ: C2×Q8/C4C22 ⊆ Aut C2332C2^3.6(C2xQ8)128,728
C23.7(C2×Q8) = C24.182C23φ: C2×Q8/C4C22 ⊆ Aut C2332C2^3.7(C2xQ8)128,794
C23.8(C2×Q8) = C22⋊C4.Q8φ: C2×Q8/C4C22 ⊆ Aut C23324C2^3.8(C2xQ8)128,835
C23.9(C2×Q8) = C24.252C23φ: C2×Q8/C4C22 ⊆ Aut C2364C2^3.9(C2xQ8)128,1149
C23.10(C2×Q8) = C23.323C24φ: C2×Q8/C4C22 ⊆ Aut C2364C2^3.10(C2xQ8)128,1155
C23.11(C2×Q8) = C23.329C24φ: C2×Q8/C4C22 ⊆ Aut C2364C2^3.11(C2xQ8)128,1161
C23.12(C2×Q8) = C23.350C24φ: C2×Q8/C4C22 ⊆ Aut C2364C2^3.12(C2xQ8)128,1182
C23.13(C2×Q8) = C23.352C24φ: C2×Q8/C4C22 ⊆ Aut C2364C2^3.13(C2xQ8)128,1184
C23.14(C2×Q8) = C23.354C24φ: C2×Q8/C4C22 ⊆ Aut C2364C2^3.14(C2xQ8)128,1186
C23.15(C2×Q8) = C24.285C23φ: C2×Q8/C4C22 ⊆ Aut C2364C2^3.15(C2xQ8)128,1197
C23.16(C2×Q8) = C24.300C23φ: C2×Q8/C4C22 ⊆ Aut C2364C2^3.16(C2xQ8)128,1219
C23.17(C2×Q8) = C23.392C24φ: C2×Q8/C4C22 ⊆ Aut C2364C2^3.17(C2xQ8)128,1224
C23.18(C2×Q8) = C23.397C24φ: C2×Q8/C4C22 ⊆ Aut C2364C2^3.18(C2xQ8)128,1229
C23.19(C2×Q8) = C23.422C24φ: C2×Q8/C4C22 ⊆ Aut C2364C2^3.19(C2xQ8)128,1254
C23.20(C2×Q8) = C42.166D4φ: C2×Q8/C4C22 ⊆ Aut C2364C2^3.20(C2xQ8)128,1270
C23.21(C2×Q8) = C42.167D4φ: C2×Q8/C4C22 ⊆ Aut C2364C2^3.21(C2xQ8)128,1274
C23.22(C2×Q8) = C23.456C24φ: C2×Q8/C4C22 ⊆ Aut C2364C2^3.22(C2xQ8)128,1288
C23.23(C2×Q8) = C42.173D4φ: C2×Q8/C4C22 ⊆ Aut C2364C2^3.23(C2xQ8)128,1295
C23.24(C2×Q8) = C24.583C23φ: C2×Q8/C4C22 ⊆ Aut C2364C2^3.24(C2xQ8)128,1296
C23.25(C2×Q8) = C42.175D4φ: C2×Q8/C4C22 ⊆ Aut C2364C2^3.25(C2xQ8)128,1298
C23.26(C2×Q8) = C24.338C23φ: C2×Q8/C4C22 ⊆ Aut C2364C2^3.26(C2xQ8)128,1306
C23.27(C2×Q8) = C23.479C24φ: C2×Q8/C4C22 ⊆ Aut C2364C2^3.27(C2xQ8)128,1311
C23.28(C2×Q8) = C42.178D4φ: C2×Q8/C4C22 ⊆ Aut C2364C2^3.28(C2xQ8)128,1312
C23.29(C2×Q8) = C24.345C23φ: C2×Q8/C4C22 ⊆ Aut C2364C2^3.29(C2xQ8)128,1319
C23.30(C2×Q8) = C24.346C23φ: C2×Q8/C4C22 ⊆ Aut C2364C2^3.30(C2xQ8)128,1321
C23.31(C2×Q8) = C24.385C23φ: C2×Q8/C4C22 ⊆ Aut C2364C2^3.31(C2xQ8)128,1409
C23.32(C2×Q8) = C23.583C24φ: C2×Q8/C4C22 ⊆ Aut C2364C2^3.32(C2xQ8)128,1415
C23.33(C2×Q8) = C23.592C24φ: C2×Q8/C4C22 ⊆ Aut C2364C2^3.33(C2xQ8)128,1424
C23.34(C2×Q8) = C24.408C23φ: C2×Q8/C4C22 ⊆ Aut C2364C2^3.34(C2xQ8)128,1436
C23.35(C2×Q8) = C23.620C24φ: C2×Q8/C4C22 ⊆ Aut C2364C2^3.35(C2xQ8)128,1452
C23.36(C2×Q8) = C24.421C23φ: C2×Q8/C4C22 ⊆ Aut C2364C2^3.36(C2xQ8)128,1461
C23.37(C2×Q8) = C23.632C24φ: C2×Q8/C4C22 ⊆ Aut C2364C2^3.37(C2xQ8)128,1464
C23.38(C2×Q8) = C24.428C23φ: C2×Q8/C4C22 ⊆ Aut C2364C2^3.38(C2xQ8)128,1474
C23.39(C2×Q8) = C24.434C23φ: C2×Q8/C4C22 ⊆ Aut C2364C2^3.39(C2xQ8)128,1480
C23.40(C2×Q8) = C23.663C24φ: C2×Q8/C4C22 ⊆ Aut C2364C2^3.40(C2xQ8)128,1495
C23.41(C2×Q8) = C23.668C24φ: C2×Q8/C4C22 ⊆ Aut C2364C2^3.41(C2xQ8)128,1500
C23.42(C2×Q8) = C24.448C23φ: C2×Q8/C4C22 ⊆ Aut C2364C2^3.42(C2xQ8)128,1512
C23.43(C2×Q8) = C24.450C23φ: C2×Q8/C4C22 ⊆ Aut C2364C2^3.43(C2xQ8)128,1516
C23.44(C2×Q8) = C23.688C24φ: C2×Q8/C4C22 ⊆ Aut C2364C2^3.44(C2xQ8)128,1520
C23.45(C2×Q8) = C24.454C23φ: C2×Q8/C4C22 ⊆ Aut C2364C2^3.45(C2xQ8)128,1522
C23.46(C2×Q8) = C24.456C23φ: C2×Q8/C4C22 ⊆ Aut C2364C2^3.46(C2xQ8)128,1536
C23.47(C2×Q8) = C23.707C24φ: C2×Q8/C4C22 ⊆ Aut C2364C2^3.47(C2xQ8)128,1539
C23.48(C2×Q8) = M4(2).29C23φ: C2×Q8/C4C22 ⊆ Aut C23324C2^3.48(C2xQ8)128,1648
C23.49(C2×Q8) = C2×C4.10C42φ: C2×Q8/C22C22 ⊆ Aut C2332C2^3.49(C2xQ8)128,463
C23.50(C2×Q8) = C2×C23.9D4φ: C2×Q8/C22C22 ⊆ Aut C2332C2^3.50(C2xQ8)128,471
C23.51(C2×Q8) = C24.162C23φ: C2×Q8/C22C22 ⊆ Aut C2332C2^3.51(C2xQ8)128,472
C23.52(C2×Q8) = C242Q8φ: C2×Q8/C22C22 ⊆ Aut C2316C2^3.52(C2xQ8)128,761
C23.53(C2×Q8) = C24.180C23φ: C2×Q8/C22C22 ⊆ Aut C2332C2^3.53(C2xQ8)128,762
C23.54(C2×Q8) = C24⋊Q8φ: C2×Q8/C22C22 ⊆ Aut C23168+C2^3.54(C2xQ8)128,764
C23.55(C2×Q8) = C24.Q8φ: C2×Q8/C22C22 ⊆ Aut C23168+C2^3.55(C2xQ8)128,801
C23.56(C2×Q8) = M4(2).15D4φ: C2×Q8/C22C22 ⊆ Aut C23328-C2^3.56(C2xQ8)128,802
C23.57(C2×Q8) = C24.11Q8φ: C2×Q8/C22C22 ⊆ Aut C23164C2^3.57(C2xQ8)128,823
C23.58(C2×Q8) = C2×C23.Q8φ: C2×Q8/C22C22 ⊆ Aut C2364C2^3.58(C2xQ8)128,1121
C23.59(C2×Q8) = C2×C23.4Q8φ: C2×Q8/C22C22 ⊆ Aut C2364C2^3.59(C2xQ8)128,1125
C23.60(C2×Q8) = C42.162D4φ: C2×Q8/C22C22 ⊆ Aut C2364C2^3.60(C2xQ8)128,1128
C23.61(C2×Q8) = C244Q8φ: C2×Q8/C22C22 ⊆ Aut C2332C2^3.61(C2xQ8)128,1169
C23.62(C2×Q8) = C24.267C23φ: C2×Q8/C22C22 ⊆ Aut C2364C2^3.62(C2xQ8)128,1171
C23.63(C2×Q8) = C24.268C23φ: C2×Q8/C22C22 ⊆ Aut C2364C2^3.63(C2xQ8)128,1173
C23.64(C2×Q8) = C24.355C23φ: C2×Q8/C22C22 ⊆ Aut C2364C2^3.64(C2xQ8)128,1339
C23.65(C2×Q8) = C23.508C24φ: C2×Q8/C22C22 ⊆ Aut C2364C2^3.65(C2xQ8)128,1340
C23.66(C2×Q8) = C245Q8φ: C2×Q8/C22C22 ⊆ Aut C2332C2^3.66(C2xQ8)128,1358
C23.67(C2×Q8) = C42.187D4φ: C2×Q8/C22C22 ⊆ Aut C2364C2^3.67(C2xQ8)128,1360
C23.68(C2×Q8) = C42.188D4φ: C2×Q8/C22C22 ⊆ Aut C2364C2^3.68(C2xQ8)128,1361
C23.69(C2×Q8) = C24.379C23φ: C2×Q8/C22C22 ⊆ Aut C2364C2^3.69(C2xQ8)128,1397
C23.70(C2×Q8) = C23.567C24φ: C2×Q8/C22C22 ⊆ Aut C2364C2^3.70(C2xQ8)128,1399
C23.71(C2×Q8) = C246Q8φ: C2×Q8/C22C22 ⊆ Aut C2332C2^3.71(C2xQ8)128,1572
C23.72(C2×Q8) = C23.741C24φ: C2×Q8/C22C22 ⊆ Aut C2364C2^3.72(C2xQ8)128,1573
C23.73(C2×Q8) = C24.15Q8φ: C2×Q8/C22C22 ⊆ Aut C2332C2^3.73(C2xQ8)128,1574
C23.74(C2×Q8) = C22.47C25φ: C2×Q8/C22C22 ⊆ Aut C2332C2^3.74(C2xQ8)128,2190
C23.75(C2×Q8) = C2×C4.C42φ: C2×Q8/C2×C4C2 ⊆ Aut C2364C2^3.75(C2xQ8)128,469
C23.76(C2×Q8) = C24.7Q8φ: C2×Q8/C2×C4C2 ⊆ Aut C2332C2^3.76(C2xQ8)128,470
C23.77(C2×Q8) = C4×C8.C4φ: C2×Q8/C2×C4C2 ⊆ Aut C2364C2^3.77(C2xQ8)128,509
C23.78(C2×Q8) = C8.6C42φ: C2×Q8/C2×C4C2 ⊆ Aut C2364C2^3.78(C2xQ8)128,510
C23.79(C2×Q8) = C24.19Q8φ: C2×Q8/C2×C4C2 ⊆ Aut C2332C2^3.79(C2xQ8)128,542
C23.80(C2×Q8) = C24.9Q8φ: C2×Q8/C2×C4C2 ⊆ Aut C2332C2^3.80(C2xQ8)128,543
C23.81(C2×Q8) = C42.322D4φ: C2×Q8/C2×C4C2 ⊆ Aut C2364C2^3.81(C2xQ8)128,569
C23.82(C2×Q8) = C42.104D4φ: C2×Q8/C2×C4C2 ⊆ Aut C2364C2^3.82(C2xQ8)128,570
C23.83(C2×Q8) = C42.324D4φ: C2×Q8/C2×C4C2 ⊆ Aut C2364C2^3.83(C2xQ8)128,580
C23.84(C2×Q8) = C42.106D4φ: C2×Q8/C2×C4C2 ⊆ Aut C2364C2^3.84(C2xQ8)128,581
C23.85(C2×Q8) = C24.10Q8φ: C2×Q8/C2×C4C2 ⊆ Aut C2332C2^3.85(C2xQ8)128,587
C23.86(C2×Q8) = C42.430D4φ: C2×Q8/C2×C4C2 ⊆ Aut C2364C2^3.86(C2xQ8)128,682
C23.87(C2×Q8) = C23.167C24φ: C2×Q8/C2×C4C2 ⊆ Aut C2364C2^3.87(C2xQ8)128,1017
C23.88(C2×Q8) = C2×C23.8Q8φ: C2×Q8/C2×C4C2 ⊆ Aut C2364C2^3.88(C2xQ8)128,1018
C23.89(C2×Q8) = C23.178C24φ: C2×Q8/C2×C4C2 ⊆ Aut C2364C2^3.89(C2xQ8)128,1028
C23.90(C2×Q8) = C4×C22⋊Q8φ: C2×Q8/C2×C4C2 ⊆ Aut C2364C2^3.90(C2xQ8)128,1034
C23.91(C2×Q8) = C24.91D4φ: C2×Q8/C2×C4C2 ⊆ Aut C2332C2^3.91(C2xQ8)128,1047
C23.92(C2×Q8) = C24.545C23φ: C2×Q8/C2×C4C2 ⊆ Aut C2364C2^3.92(C2xQ8)128,1048
C23.93(C2×Q8) = C23.199C24φ: C2×Q8/C2×C4C2 ⊆ Aut C2364C2^3.93(C2xQ8)128,1049
C23.94(C2×Q8) = C23.211C24φ: C2×Q8/C2×C4C2 ⊆ Aut C2364C2^3.94(C2xQ8)128,1061
C23.95(C2×Q8) = C24.567C23φ: C2×Q8/C2×C4C2 ⊆ Aut C2364C2^3.95(C2xQ8)128,1170
C23.96(C2×Q8) = C24.568C23φ: C2×Q8/C2×C4C2 ⊆ Aut C2364C2^3.96(C2xQ8)128,1172
C23.97(C2×Q8) = C24.569C23φ: C2×Q8/C2×C4C2 ⊆ Aut C2364C2^3.97(C2xQ8)128,1174
C23.98(C2×Q8) = C23.449C24φ: C2×Q8/C2×C4C2 ⊆ Aut C2364C2^3.98(C2xQ8)128,1281
C23.99(C2×Q8) = C24.584C23φ: C2×Q8/C2×C4C2 ⊆ Aut C2364C2^3.99(C2xQ8)128,1301
C23.100(C2×Q8) = C23.527C24φ: C2×Q8/C2×C4C2 ⊆ Aut C2364C2^3.100(C2xQ8)128,1359
C23.101(C2×Q8) = C23.546C24φ: C2×Q8/C2×C4C2 ⊆ Aut C2364C2^3.101(C2xQ8)128,1378
C23.102(C2×Q8) = C23.559C24φ: C2×Q8/C2×C4C2 ⊆ Aut C2364C2^3.102(C2xQ8)128,1391
C23.103(C2×Q8) = C248Q8φ: C2×Q8/C2×C4C2 ⊆ Aut C2332C2^3.103(C2xQ8)128,1580
C23.104(C2×Q8) = C42.439D4φ: C2×Q8/C2×C4C2 ⊆ Aut C2364C2^3.104(C2xQ8)128,1583
C23.105(C2×Q8) = C24.599C23φ: C2×Q8/C2×C4C2 ⊆ Aut C2364C2^3.105(C2xQ8)128,1587
C23.106(C2×Q8) = C42.440D4φ: C2×Q8/C2×C4C2 ⊆ Aut C2364C2^3.106(C2xQ8)128,1589
C23.107(C2×Q8) = C22×C8.C4φ: C2×Q8/C2×C4C2 ⊆ Aut C2364C2^3.107(C2xQ8)128,1646
C23.108(C2×Q8) = C2×M4(2).C4φ: C2×Q8/C2×C4C2 ⊆ Aut C2332C2^3.108(C2xQ8)128,1647
C23.109(C2×Q8) = C2×C23.37C23φ: C2×Q8/C2×C4C2 ⊆ Aut C2364C2^3.109(C2xQ8)128,2175
C23.110(C2×Q8) = C2×C23.41C23φ: C2×Q8/C2×C4C2 ⊆ Aut C2364C2^3.110(C2xQ8)128,2189
C23.111(C2×Q8) = Q8×C22⋊C4φ: C2×Q8/Q8C2 ⊆ Aut C2364C2^3.111(C2xQ8)128,1072
C23.112(C2×Q8) = C23.227C24φ: C2×Q8/Q8C2 ⊆ Aut C2364C2^3.112(C2xQ8)128,1077
C23.113(C2×Q8) = D4×C4⋊C4φ: C2×Q8/Q8C2 ⊆ Aut C2364C2^3.113(C2xQ8)128,1080
C23.114(C2×Q8) = C23.231C24φ: C2×Q8/Q8C2 ⊆ Aut C2364C2^3.114(C2xQ8)128,1081
C23.115(C2×Q8) = C24.558C23φ: C2×Q8/Q8C2 ⊆ Aut C2364C2^3.115(C2xQ8)128,1092
C23.116(C2×Q8) = C23.250C24φ: C2×Q8/Q8C2 ⊆ Aut C2364C2^3.116(C2xQ8)128,1100
C23.117(C2×Q8) = C23.334C24φ: C2×Q8/Q8C2 ⊆ Aut C2364C2^3.117(C2xQ8)128,1166
C23.118(C2×Q8) = C23.349C24φ: C2×Q8/Q8C2 ⊆ Aut C2364C2^3.118(C2xQ8)128,1181
C23.119(C2×Q8) = C24.572C23φ: C2×Q8/Q8C2 ⊆ Aut C2364C2^3.119(C2xQ8)128,1205
C23.120(C2×Q8) = C23.402C24φ: C2×Q8/Q8C2 ⊆ Aut C2364C2^3.120(C2xQ8)128,1234
C23.121(C2×Q8) = C23.405C24φ: C2×Q8/Q8C2 ⊆ Aut C2364C2^3.121(C2xQ8)128,1237
C23.122(C2×Q8) = C23.483C24φ: C2×Q8/Q8C2 ⊆ Aut C2364C2^3.122(C2xQ8)128,1315
C23.123(C2×Q8) = C2×D43Q8φ: C2×Q8/Q8C2 ⊆ Aut C2364C2^3.123(C2xQ8)128,2204
C23.124(C2×Q8) = C4×C2.C42central extension (φ=1)128C2^3.124(C2xQ8)128,164
C23.125(C2×Q8) = C24.17Q8central extension (φ=1)64C2^3.125(C2xQ8)128,165
C23.126(C2×Q8) = C24.624C23central extension (φ=1)128C2^3.126(C2xQ8)128,166
C23.127(C2×Q8) = C24.625C23central extension (φ=1)128C2^3.127(C2xQ8)128,167
C23.128(C2×Q8) = C24.626C23central extension (φ=1)128C2^3.128(C2xQ8)128,168
C23.129(C2×Q8) = C24.5Q8central extension (φ=1)64C2^3.129(C2xQ8)128,171
C23.130(C2×Q8) = C24.631C23central extension (φ=1)128C2^3.130(C2xQ8)128,173
C23.131(C2×Q8) = C24.632C23central extension (φ=1)128C2^3.131(C2xQ8)128,174
C23.132(C2×Q8) = C24.633C23central extension (φ=1)128C2^3.132(C2xQ8)128,175
C23.133(C2×Q8) = C24.634C23central extension (φ=1)128C2^3.133(C2xQ8)128,176
C23.134(C2×Q8) = C24.635C23central extension (φ=1)128C2^3.134(C2xQ8)128,177
C23.135(C2×Q8) = C24.636C23central extension (φ=1)128C2^3.135(C2xQ8)128,178
C23.136(C2×Q8) = C22×C2.C42central extension (φ=1)128C2^3.136(C2xQ8)128,998
C23.137(C2×Q8) = C2×C4×C4⋊C4central extension (φ=1)128C2^3.137(C2xQ8)128,1001
C23.138(C2×Q8) = C2×C23.7Q8central extension (φ=1)64C2^3.138(C2xQ8)128,1010
C23.139(C2×Q8) = C2×C428C4central extension (φ=1)128C2^3.139(C2xQ8)128,1013
C23.140(C2×Q8) = C2×C429C4central extension (φ=1)128C2^3.140(C2xQ8)128,1016
C23.141(C2×Q8) = C2×C23.63C23central extension (φ=1)128C2^3.141(C2xQ8)128,1020
C23.142(C2×Q8) = C2×C23.65C23central extension (φ=1)128C2^3.142(C2xQ8)128,1023
C23.143(C2×Q8) = C2×C23.67C23central extension (φ=1)128C2^3.143(C2xQ8)128,1026
C23.144(C2×Q8) = C2×C23.78C23central extension (φ=1)128C2^3.144(C2xQ8)128,1119
C23.145(C2×Q8) = C2×C23.81C23central extension (φ=1)128C2^3.145(C2xQ8)128,1123
C23.146(C2×Q8) = C2×C23.83C23central extension (φ=1)128C2^3.146(C2xQ8)128,1126
C23.147(C2×Q8) = C23×C4⋊C4central extension (φ=1)128C2^3.147(C2xQ8)128,2152
C23.148(C2×Q8) = Q8×C22×C4central extension (φ=1)128C2^3.148(C2xQ8)128,2155
C23.149(C2×Q8) = C22×C42.C2central extension (φ=1)128C2^3.149(C2xQ8)128,2169
C23.150(C2×Q8) = C22×C4⋊Q8central extension (φ=1)128C2^3.150(C2xQ8)128,2173

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