# Extensions 1→N→G→Q→1 with N=C23 and Q=C22⋊C4

Direct product G=N×Q with N=C23 and Q=C22⋊C4
dρLabelID
C23×C22⋊C464C2^3xC2^2:C4128,2151

Semidirect products G=N:Q with N=C23 and Q=C22⋊C4
extensionφ:Q→Aut NdρLabelID
C231(C22⋊C4) = 2+ 1+42C4φ: C22⋊C4/C2D4 ⊆ Aut C2332C2^3:1(C2^2:C4)128,522
C232(C22⋊C4) = C25.C22φ: C22⋊C4/C2D4 ⊆ Aut C2316C2^3:2(C2^2:C4)128,621
C233(C22⋊C4) = C25⋊C4φ: C22⋊C4/C22C4 ⊆ Aut C2316C2^3:3(C2^2:C4)128,513
C234(C22⋊C4) = C24.50D4φ: C22⋊C4/C22C22 ⊆ Aut C2364C2^3:4(C2^2:C4)128,170
C235(C22⋊C4) = C24.90D4φ: C22⋊C4/C22C22 ⊆ Aut C2332C2^3:5(C2^2:C4)128,1040
C236(C22⋊C4) = C2×C23.23D4φ: C22⋊C4/C2×C4C2 ⊆ Aut C2364C2^3:6(C2^2:C4)128,1019
C237(C22⋊C4) = C2×C243C4φ: C22⋊C4/C23C2 ⊆ Aut C2332C2^3:7(C2^2:C4)128,1009

Non-split extensions G=N.Q with N=C23 and Q=C22⋊C4
extensionφ:Q→Aut NdρLabelID
C23.1(C22⋊C4) = C24.5D4φ: C22⋊C4/C2D4 ⊆ Aut C2332C2^3.1(C2^2:C4)128,122
C23.2(C22⋊C4) = C23.2C42φ: C22⋊C4/C2D4 ⊆ Aut C23324C2^3.2(C2^2:C4)128,123
C23.3(C22⋊C4) = C24.6D4φ: C22⋊C4/C2D4 ⊆ Aut C2332C2^3.3(C2^2:C4)128,125
C23.4(C22⋊C4) = (C22×C8)⋊C4φ: C22⋊C4/C2D4 ⊆ Aut C23324C2^3.4(C2^2:C4)128,127
C23.5(C22⋊C4) = 2+ 1+4.2C4φ: C22⋊C4/C2D4 ⊆ Aut C23324C2^3.5(C2^2:C4)128,523
C23.6(C22⋊C4) = 2+ 1+43C4φ: C22⋊C4/C2D4 ⊆ Aut C2332C2^3.6(C2^2:C4)128,524
C23.7(C22⋊C4) = 2+ 1+44C4φ: C22⋊C4/C2D4 ⊆ Aut C23324C2^3.7(C2^2:C4)128,526
C23.8(C22⋊C4) = M4(2)⋊19D4φ: C22⋊C4/C2D4 ⊆ Aut C23164C2^3.8(C2^2:C4)128,616
C23.9(C22⋊C4) = C24.23D4φ: C22⋊C4/C2D4 ⊆ Aut C2332C2^3.9(C2^2:C4)128,617
C23.10(C22⋊C4) = C24.24D4φ: C22⋊C4/C2D4 ⊆ Aut C2316C2^3.10(C2^2:C4)128,619
C23.11(C22⋊C4) = C24.26D4φ: C22⋊C4/C2D4 ⊆ Aut C2332C2^3.11(C2^2:C4)128,622
C23.12(C22⋊C4) = (C2×C8)⋊D4φ: C22⋊C4/C2D4 ⊆ Aut C23164C2^3.12(C2^2:C4)128,623
C23.13(C22⋊C4) = C4.(C4×D4)φ: C22⋊C4/C2D4 ⊆ Aut C23328-C2^3.13(C2^2:C4)128,641
C23.14(C22⋊C4) = (C2×C8)⋊4D4φ: C22⋊C4/C2D4 ⊆ Aut C23168+C2^3.14(C2^2:C4)128,642
C23.15(C22⋊C4) = C42⋊D4φ: C22⋊C4/C2D4 ⊆ Aut C23168+C2^3.15(C2^2:C4)128,643
C23.16(C22⋊C4) = C24.28D4φ: C22⋊C4/C2D4 ⊆ Aut C23168+C2^3.16(C2^2:C4)128,645
C23.17(C22⋊C4) = M4(2)⋊21D4φ: C22⋊C4/C2D4 ⊆ Aut C23168+C2^3.17(C2^2:C4)128,646
C23.18(C22⋊C4) = M4(2).50D4φ: C22⋊C4/C2D4 ⊆ Aut C23328-C2^3.18(C2^2:C4)128,647
C23.19(C22⋊C4) = C4○C2≀C4φ: C22⋊C4/C2D4 ⊆ Aut C23164C2^3.19(C2^2:C4)128,852
C23.20(C22⋊C4) = C2≀C4⋊C2φ: C22⋊C4/C2D4 ⊆ Aut C23168+C2^3.20(C2^2:C4)128,854
C23.21(C22⋊C4) = C23.(C2×D4)φ: C22⋊C4/C2D4 ⊆ Aut C23328-C2^3.21(C2^2:C4)128,855
C23.22(C22⋊C4) = C2×C42⋊C4φ: C22⋊C4/C2D4 ⊆ Aut C2316C2^3.22(C2^2:C4)128,856
C23.23(C22⋊C4) = C2×C423C4φ: C22⋊C4/C2D4 ⊆ Aut C2332C2^3.23(C2^2:C4)128,857
C23.24(C22⋊C4) = C24.39D4φ: C22⋊C4/C2D4 ⊆ Aut C23168+C2^3.24(C2^2:C4)128,859
C23.25(C22⋊C4) = (C2×D4).135D4φ: C22⋊C4/C2D4 ⊆ Aut C23164C2^3.25(C2^2:C4)128,864
C23.26(C22⋊C4) = C41D4.C4φ: C22⋊C4/C2D4 ⊆ Aut C23168+C2^3.26(C2^2:C4)128,866
C23.27(C22⋊C4) = (C2×D4).137D4φ: C22⋊C4/C2D4 ⊆ Aut C23328-C2^3.27(C2^2:C4)128,867
C23.28(C22⋊C4) = C24.165C23φ: C22⋊C4/C22C4 ⊆ Aut C2332C2^3.28(C2^2:C4)128,514
C23.29(C22⋊C4) = C25.C4φ: C22⋊C4/C22C4 ⊆ Aut C2316C2^3.29(C2^2:C4)128,515
C23.30(C22⋊C4) = (C23×C4).C4φ: C22⋊C4/C22C4 ⊆ Aut C2332C2^3.30(C2^2:C4)128,517
C23.31(C22⋊C4) = C4○D4.D4φ: C22⋊C4/C22C4 ⊆ Aut C23168+C2^3.31(C2^2:C4)128,527
C23.32(C22⋊C4) = (C22×Q8)⋊C4φ: C22⋊C4/C22C4 ⊆ Aut C23328-C2^3.32(C2^2:C4)128,528
C23.33(C22⋊C4) = (C2×C42)⋊C4φ: C22⋊C4/C22C4 ⊆ Aut C23164C2^3.33(C2^2:C4)128,559
C23.34(C22⋊C4) = C24.C23φ: C22⋊C4/C22C4 ⊆ Aut C23168+C2^3.34(C2^2:C4)128,560
C23.35(C22⋊C4) = C24.6(C2×C4)φ: C22⋊C4/C22C4 ⊆ Aut C23168+C2^3.35(C2^2:C4)128,561
C23.36(C22⋊C4) = C4⋊Q829C4φ: C22⋊C4/C22C4 ⊆ Aut C23164C2^3.36(C2^2:C4)128,858
C23.37(C22⋊C4) = C4.4D4⋊C4φ: C22⋊C4/C22C4 ⊆ Aut C23168+C2^3.37(C2^2:C4)128,860
C23.38(C22⋊C4) = C4⋊Q8⋊C4φ: C22⋊C4/C22C4 ⊆ Aut C23328-C2^3.38(C2^2:C4)128,861
C23.39(C22⋊C4) = C24.52D4φ: C22⋊C4/C22C22 ⊆ Aut C2364C2^3.39(C2^2:C4)128,172
C23.40(C22⋊C4) = C23⋊M4(2)φ: C22⋊C4/C22C22 ⊆ Aut C2332C2^3.40(C2^2:C4)128,197
C23.41(C22⋊C4) = C24.(C2×C4)φ: C22⋊C4/C22C22 ⊆ Aut C2332C2^3.41(C2^2:C4)128,203
C23.42(C22⋊C4) = C24.45(C2×C4)φ: C22⋊C4/C22C22 ⊆ Aut C2332C2^3.42(C2^2:C4)128,204
C23.43(C22⋊C4) = C42.373D4φ: C22⋊C4/C22C22 ⊆ Aut C2364C2^3.43(C2^2:C4)128,214
C23.44(C22⋊C4) = C42.400D4φ: C22⋊C4/C22C22 ⊆ Aut C2364C2^3.44(C2^2:C4)128,216
C23.45(C22⋊C4) = C42.401D4φ: C22⋊C4/C22C22 ⊆ Aut C2364C2^3.45(C2^2:C4)128,217
C23.46(C22⋊C4) = C42.374D4φ: C22⋊C4/C22C22 ⊆ Aut C2364C2^3.46(C2^2:C4)128,220
C23.47(C22⋊C4) = D44M4(2)φ: C22⋊C4/C22C22 ⊆ Aut C2364C2^3.47(C2^2:C4)128,221
C23.48(C22⋊C4) = C42.52D4φ: C22⋊C4/C22C22 ⊆ Aut C2364C2^3.48(C2^2:C4)128,227
C23.49(C22⋊C4) = C42.53D4φ: C22⋊C4/C22C22 ⊆ Aut C2364C2^3.49(C2^2:C4)128,228
C23.50(C22⋊C4) = C42.54D4φ: C22⋊C4/C22C22 ⊆ Aut C2364C2^3.50(C2^2:C4)128,229
C23.51(C22⋊C4) = C24.53D4φ: C22⋊C4/C22C22 ⊆ Aut C2332C2^3.51(C2^2:C4)128,233
C23.52(C22⋊C4) = C24.54D4φ: C22⋊C4/C22C22 ⊆ Aut C2332C2^3.52(C2^2:C4)128,239
C23.53(C22⋊C4) = C24.55D4φ: C22⋊C4/C22C22 ⊆ Aut C2332C2^3.53(C2^2:C4)128,240
C23.54(C22⋊C4) = C24.58D4φ: C22⋊C4/C22C22 ⊆ Aut C2332C2^3.54(C2^2:C4)128,245
C23.55(C22⋊C4) = C24.59D4φ: C22⋊C4/C22C22 ⊆ Aut C2332C2^3.55(C2^2:C4)128,248
C23.56(C22⋊C4) = C42.405D4φ: C22⋊C4/C22C22 ⊆ Aut C2364C2^3.56(C2^2:C4)128,257
C23.57(C22⋊C4) = C42.406D4φ: C22⋊C4/C22C22 ⊆ Aut C2364C2^3.57(C2^2:C4)128,258
C23.58(C22⋊C4) = C42.376D4φ: C22⋊C4/C22C22 ⊆ Aut C2364C2^3.58(C2^2:C4)128,261
C23.59(C22⋊C4) = C42.72D4φ: C22⋊C4/C22C22 ⊆ Aut C2364C2^3.59(C2^2:C4)128,267
C23.60(C22⋊C4) = C42.73D4φ: C22⋊C4/C22C22 ⊆ Aut C2364C2^3.60(C2^2:C4)128,268
C23.61(C22⋊C4) = C42.74D4φ: C22⋊C4/C22C22 ⊆ Aut C2364C2^3.61(C2^2:C4)128,269
C23.62(C22⋊C4) = C42.411D4φ: C22⋊C4/C22C22 ⊆ Aut C2364C2^3.62(C2^2:C4)128,275
C23.63(C22⋊C4) = C42.412D4φ: C22⋊C4/C22C22 ⊆ Aut C2364C2^3.63(C2^2:C4)128,276
C23.64(C22⋊C4) = C42.417D4φ: C22⋊C4/C22C22 ⊆ Aut C2364C2^3.64(C2^2:C4)128,285
C23.65(C22⋊C4) = C42.418D4φ: C22⋊C4/C22C22 ⊆ Aut C2364C2^3.65(C2^2:C4)128,286
C23.66(C22⋊C4) = C42.84D4φ: C22⋊C4/C22C22 ⊆ Aut C2364C2^3.66(C2^2:C4)128,289
C23.67(C22⋊C4) = C42.86D4φ: C22⋊C4/C22C22 ⊆ Aut C2364C2^3.67(C2^2:C4)128,291
C23.68(C22⋊C4) = C42.87D4φ: C22⋊C4/C22C22 ⊆ Aut C2364C2^3.68(C2^2:C4)128,292
C23.69(C22⋊C4) = C42.88D4φ: C22⋊C4/C22C22 ⊆ Aut C2364C2^3.69(C2^2:C4)128,293
C23.70(C22⋊C4) = C2×C23.9D4φ: C22⋊C4/C22C22 ⊆ Aut C2332C2^3.70(C2^2:C4)128,471
C23.71(C22⋊C4) = C24.51(C2×C4)φ: C22⋊C4/C22C22 ⊆ Aut C2364C2^3.71(C2^2:C4)128,512
C23.72(C22⋊C4) = C24.65D4φ: C22⋊C4/C22C22 ⊆ Aut C2364C2^3.72(C2^2:C4)128,520
C23.73(C22⋊C4) = C24.53(C2×C4)φ: C22⋊C4/C22C22 ⊆ Aut C2364C2^3.73(C2^2:C4)128,550
C23.74(C22⋊C4) = C24.68D4φ: C22⋊C4/C22C22 ⊆ Aut C2316C2^3.74(C2^2:C4)128,551
C23.75(C22⋊C4) = (C22×C4).276D4φ: C22⋊C4/C22C22 ⊆ Aut C2332C2^3.75(C2^2:C4)128,554
C23.76(C22⋊C4) = C24.69D4φ: C22⋊C4/C22C22 ⊆ Aut C2364C2^3.76(C2^2:C4)128,557
C23.77(C22⋊C4) = C24.70D4φ: C22⋊C4/C22C22 ⊆ Aut C2332C2^3.77(C2^2:C4)128,558
C23.78(C22⋊C4) = C232M4(2)φ: C22⋊C4/C22C22 ⊆ Aut C2364C2^3.78(C2^2:C4)128,602
C23.79(C22⋊C4) = C24.73D4φ: C22⋊C4/C22C22 ⊆ Aut C2364C2^3.79(C2^2:C4)128,605
C23.80(C22⋊C4) = C24.74D4φ: C22⋊C4/C22C22 ⊆ Aut C2364C2^3.80(C2^2:C4)128,607
C23.81(C22⋊C4) = C24.75D4φ: C22⋊C4/C22C22 ⊆ Aut C2364C2^3.81(C2^2:C4)128,626
C23.82(C22⋊C4) = C24.76D4φ: C22⋊C4/C22C22 ⊆ Aut C2364C2^3.82(C2^2:C4)128,627
C23.83(C22⋊C4) = C427D4φ: C22⋊C4/C22C22 ⊆ Aut C2332C2^3.83(C2^2:C4)128,629
C23.84(C22⋊C4) = C24.36D4φ: C22⋊C4/C22C22 ⊆ Aut C23168+C2^3.84(C2^2:C4)128,853
C23.85(C22⋊C4) = C4⋊Q8.C4φ: C22⋊C4/C22C22 ⊆ Aut C23328-C2^3.85(C2^2:C4)128,865
C23.86(C22⋊C4) = C24.73(C2×C4)φ: C22⋊C4/C22C22 ⊆ Aut C2332C2^3.86(C2^2:C4)128,1611
C23.87(C22⋊C4) = C24.98D4φ: C22⋊C4/C22C22 ⊆ Aut C2332C2^3.87(C2^2:C4)128,1628
C23.88(C22⋊C4) = C2×C42⋊C22φ: C22⋊C4/C22C22 ⊆ Aut C2332C2^3.88(C2^2:C4)128,1632
C23.89(C22⋊C4) = C24.17Q8φ: C22⋊C4/C2×C4C2 ⊆ Aut C2364C2^3.89(C2^2:C4)128,165
C23.90(C22⋊C4) = C23.8M4(2)φ: C22⋊C4/C2×C4C2 ⊆ Aut C2332C2^3.90(C2^2:C4)128,191
C23.91(C22⋊C4) = C23⋊C8⋊C2φ: C22⋊C4/C2×C4C2 ⊆ Aut C2332C2^3.91(C2^2:C4)128,200
C23.92(C22⋊C4) = C42.455D4φ: C22⋊C4/C2×C4C2 ⊆ Aut C2364C2^3.92(C2^2:C4)128,208
C23.93(C22⋊C4) = C42.397D4φ: C22⋊C4/C2×C4C2 ⊆ Aut C2364C2^3.93(C2^2:C4)128,209
C23.94(C22⋊C4) = C42.45D4φ: C22⋊C4/C2×C4C2 ⊆ Aut C2364C2^3.94(C2^2:C4)128,212
C23.95(C22⋊C4) = C42.46D4φ: C22⋊C4/C2×C4C2 ⊆ Aut C2364C2^3.95(C2^2:C4)128,213
C23.96(C22⋊C4) = C42.47D4φ: C22⋊C4/C2×C4C2 ⊆ Aut C2364C2^3.96(C2^2:C4)128,215
C23.97(C22⋊C4) = C42.315D4φ: C22⋊C4/C2×C4C2 ⊆ Aut C2364C2^3.97(C2^2:C4)128,224
C23.98(C22⋊C4) = C42.316D4φ: C22⋊C4/C2×C4C2 ⊆ Aut C2364C2^3.98(C2^2:C4)128,225
C23.99(C22⋊C4) = C42.305D4φ: C22⋊C4/C2×C4C2 ⊆ Aut C2364C2^3.99(C2^2:C4)128,226
C23.100(C22⋊C4) = C2×C22.SD16φ: C22⋊C4/C2×C4C2 ⊆ Aut C2332C2^3.100(C2^2:C4)128,230
C23.101(C22⋊C4) = C2×C23.31D4φ: C22⋊C4/C2×C4C2 ⊆ Aut C2332C2^3.101(C2^2:C4)128,231
C23.102(C22⋊C4) = C24.150D4φ: C22⋊C4/C2×C4C2 ⊆ Aut C2316C2^3.102(C2^2:C4)128,236
C23.103(C22⋊C4) = C42.66D4φ: C22⋊C4/C2×C4C2 ⊆ Aut C2364C2^3.103(C2^2:C4)128,256
C23.104(C22⋊C4) = C42.67D4φ: C22⋊C4/C2×C4C2 ⊆ Aut C2364C2^3.104(C2^2:C4)128,262
C23.105(C22⋊C4) = C42.68D4φ: C22⋊C4/C2×C4C2 ⊆ Aut C2364C2^3.105(C2^2:C4)128,263
C23.106(C22⋊C4) = C42.69D4φ: C22⋊C4/C2×C4C2 ⊆ Aut C2364C2^3.106(C2^2:C4)128,264
C23.107(C22⋊C4) = C42.409D4φ: C22⋊C4/C2×C4C2 ⊆ Aut C2364C2^3.107(C2^2:C4)128,272
C23.108(C22⋊C4) = C42.410D4φ: C22⋊C4/C2×C4C2 ⊆ Aut C2364C2^3.108(C2^2:C4)128,274
C23.109(C22⋊C4) = C42.78D4φ: C22⋊C4/C2×C4C2 ⊆ Aut C2364C2^3.109(C2^2:C4)128,279
C23.110(C22⋊C4) = C42.79D4φ: C22⋊C4/C2×C4C2 ⊆ Aut C2364C2^3.110(C2^2:C4)128,282
C23.111(C22⋊C4) = C42.80D4φ: C22⋊C4/C2×C4C2 ⊆ Aut C2364C2^3.111(C2^2:C4)128,283
C23.112(C22⋊C4) = C42.81D4φ: C22⋊C4/C2×C4C2 ⊆ Aut C2364C2^3.112(C2^2:C4)128,284
C23.113(C22⋊C4) = C23.29C42φ: C22⋊C4/C2×C4C2 ⊆ Aut C2364C2^3.113(C2^2:C4)128,461
C23.114(C22⋊C4) = C24.132D4φ: C22⋊C4/C2×C4C2 ⊆ Aut C2364C2^3.114(C2^2:C4)128,467
C23.115(C22⋊C4) = C24.152D4φ: C22⋊C4/C2×C4C2 ⊆ Aut C2364C2^3.115(C2^2:C4)128,468
C23.116(C22⋊C4) = C23.15C42φ: C22⋊C4/C2×C4C2 ⊆ Aut C2332C2^3.116(C2^2:C4)128,474
C23.117(C22⋊C4) = C23.22M4(2)φ: C22⋊C4/C2×C4C2 ⊆ Aut C2364C2^3.117(C2^2:C4)128,601
C23.118(C22⋊C4) = C24.72D4φ: C22⋊C4/C2×C4C2 ⊆ Aut C2332C2^3.118(C2^2:C4)128,603
C23.119(C22⋊C4) = C24.160D4φ: C22⋊C4/C2×C4C2 ⊆ Aut C2364C2^3.119(C2^2:C4)128,604
C23.120(C22⋊C4) = C23.38D8φ: C22⋊C4/C2×C4C2 ⊆ Aut C2364C2^3.120(C2^2:C4)128,606
C23.121(C22⋊C4) = C24.135D4φ: C22⋊C4/C2×C4C2 ⊆ Aut C2364C2^3.121(C2^2:C4)128,624
C23.122(C22⋊C4) = C23.23D8φ: C22⋊C4/C2×C4C2 ⊆ Aut C2364C2^3.122(C2^2:C4)128,625
C23.123(C22⋊C4) = (C2×C4)≀C2φ: C22⋊C4/C2×C4C2 ⊆ Aut C2316C2^3.123(C2^2:C4)128,628
C23.124(C22⋊C4) = C24.78D4φ: C22⋊C4/C2×C4C2 ⊆ Aut C2316C2^3.124(C2^2:C4)128,630
C23.125(C22⋊C4) = M4(2)⋊20D4φ: C22⋊C4/C2×C4C2 ⊆ Aut C2332C2^3.125(C2^2:C4)128,632
C23.126(C22⋊C4) = M4(2).45D4φ: C22⋊C4/C2×C4C2 ⊆ Aut C2332C2^3.126(C2^2:C4)128,633
C23.127(C22⋊C4) = C2×(C22×C8)⋊C2φ: C22⋊C4/C2×C4C2 ⊆ Aut C2364C2^3.127(C2^2:C4)128,1610
C23.128(C22⋊C4) = C22×C23⋊C4φ: C22⋊C4/C2×C4C2 ⊆ Aut C2332C2^3.128(C2^2:C4)128,1613
C23.129(C22⋊C4) = C2×M4(2).8C22φ: C22⋊C4/C2×C4C2 ⊆ Aut C2332C2^3.129(C2^2:C4)128,1619
C23.130(C22⋊C4) = C2×C23.24D4φ: C22⋊C4/C2×C4C2 ⊆ Aut C2364C2^3.130(C2^2:C4)128,1624
C23.131(C22⋊C4) = C2×C23.36D4φ: C22⋊C4/C2×C4C2 ⊆ Aut C2364C2^3.131(C2^2:C4)128,1627
C23.132(C22⋊C4) = C22×C4≀C2φ: C22⋊C4/C2×C4C2 ⊆ Aut C2332C2^3.132(C2^2:C4)128,1631
C23.133(C22⋊C4) = C421C8φ: C22⋊C4/C23C2 ⊆ Aut C2332C2^3.133(C2^2:C4)128,6
C23.134(C22⋊C4) = C426C8φ: C22⋊C4/C23C2 ⊆ Aut C2332C2^3.134(C2^2:C4)128,8
C23.135(C22⋊C4) = C23.21C42φ: C22⋊C4/C23C2 ⊆ Aut C2332C2^3.135(C2^2:C4)128,14
C23.136(C22⋊C4) = C24.46D4φ: C22⋊C4/C23C2 ⊆ Aut C2332C2^3.136(C2^2:C4)128,16
C23.137(C22⋊C4) = C42.4Q8φ: C22⋊C4/C23C2 ⊆ Aut C2332C2^3.137(C2^2:C4)128,17
C23.138(C22⋊C4) = C42.5Q8φ: C22⋊C4/C23C2 ⊆ Aut C2332C2^3.138(C2^2:C4)128,18
C23.139(C22⋊C4) = C42.6Q8φ: C22⋊C4/C23C2 ⊆ Aut C2332C2^3.139(C2^2:C4)128,20
C23.140(C22⋊C4) = C23.8D8φ: C22⋊C4/C23C2 ⊆ Aut C2332C2^3.140(C2^2:C4)128,21
C23.141(C22⋊C4) = C24.48D4φ: C22⋊C4/C23C2 ⊆ Aut C2332C2^3.141(C2^2:C4)128,29
C23.142(C22⋊C4) = C42.9Q8φ: C22⋊C4/C23C2 ⊆ Aut C2332C2^3.142(C2^2:C4)128,32
C23.143(C22⋊C4) = C42.10Q8φ: C22⋊C4/C23C2 ⊆ Aut C2332C2^3.143(C2^2:C4)128,35
C23.144(C22⋊C4) = C24.4Q8φ: C22⋊C4/C23C2 ⊆ Aut C2316C2^3.144(C2^2:C4)128,36
C23.145(C22⋊C4) = C23.C42φ: C22⋊C4/C23C2 ⊆ Aut C2332C2^3.145(C2^2:C4)128,37
C23.146(C22⋊C4) = C23.8C42φ: C22⋊C4/C23C2 ⊆ Aut C2332C2^3.146(C2^2:C4)128,38
C23.147(C22⋊C4) = C24⋊C8φ: C22⋊C4/C23C2 ⊆ Aut C2316C2^3.147(C2^2:C4)128,48
C23.148(C22⋊C4) = C23.15M4(2)φ: C22⋊C4/C23C2 ⊆ Aut C2332C2^3.148(C2^2:C4)128,49
C23.149(C22⋊C4) = (C2×D4)⋊C8φ: C22⋊C4/C23C2 ⊆ Aut C2332C2^3.149(C2^2:C4)128,50
C23.150(C22⋊C4) = (C2×C42).C4φ: C22⋊C4/C23C2 ⊆ Aut C2332C2^3.150(C2^2:C4)128,51
C23.151(C22⋊C4) = C42⋊C8φ: C22⋊C4/C23C2 ⊆ Aut C2332C2^3.151(C2^2:C4)128,56
C23.152(C22⋊C4) = C423C8φ: C22⋊C4/C23C2 ⊆ Aut C2332C2^3.152(C2^2:C4)128,57
C23.153(C22⋊C4) = C23.2M4(2)φ: C22⋊C4/C23C2 ⊆ Aut C2332C2^3.153(C2^2:C4)128,58
C23.154(C22⋊C4) = C24.D4φ: C22⋊C4/C23C2 ⊆ Aut C2316C2^3.154(C2^2:C4)128,75
C23.155(C22⋊C4) = C23.4D8φ: C22⋊C4/C23C2 ⊆ Aut C2332C2^3.155(C2^2:C4)128,76
C23.156(C22⋊C4) = C2.C2≀C4φ: C22⋊C4/C23C2 ⊆ Aut C2332C2^3.156(C2^2:C4)128,77
C23.157(C22⋊C4) = (C2×C4).D8φ: C22⋊C4/C23C2 ⊆ Aut C2332C2^3.157(C2^2:C4)128,78
C23.158(C22⋊C4) = C23.Q16φ: C22⋊C4/C23C2 ⊆ Aut C2332C2^3.158(C2^2:C4)128,83
C23.159(C22⋊C4) = C24.4D4φ: C22⋊C4/C23C2 ⊆ Aut C2332C2^3.159(C2^2:C4)128,84
C23.160(C22⋊C4) = (C2×C4).Q16φ: C22⋊C4/C23C2 ⊆ Aut C2332C2^3.160(C2^2:C4)128,85
C23.161(C22⋊C4) = C2.7C2≀C4φ: C22⋊C4/C23C2 ⊆ Aut C2332C2^3.161(C2^2:C4)128,86
C23.162(C22⋊C4) = (C2×Q8).Q8φ: C22⋊C4/C23C2 ⊆ Aut C2332C2^3.162(C2^2:C4)128,126
C23.163(C22⋊C4) = C2×C23⋊C8φ: C22⋊C4/C23C2 ⊆ Aut C2332C2^3.163(C2^2:C4)128,188
C23.164(C22⋊C4) = C2×C22.M4(2)φ: C22⋊C4/C23C2 ⊆ Aut C2364C2^3.164(C2^2:C4)128,189
C23.165(C22⋊C4) = C25.3C4φ: C22⋊C4/C23C2 ⊆ Aut C2316C2^3.165(C2^2:C4)128,194
C23.166(C22⋊C4) = (C2×C4)⋊M4(2)φ: C22⋊C4/C23C2 ⊆ Aut C2332C2^3.166(C2^2:C4)128,195
C23.167(C22⋊C4) = C42.398D4φ: C22⋊C4/C23C2 ⊆ Aut C2332C2^3.167(C2^2:C4)128,210
C23.168(C22⋊C4) = C42.399D4φ: C22⋊C4/C23C2 ⊆ Aut C2364C2^3.168(C2^2:C4)128,211
C23.169(C22⋊C4) = D4⋊M4(2)φ: C22⋊C4/C23C2 ⊆ Aut C2332C2^3.169(C2^2:C4)128,218
C23.170(C22⋊C4) = Q8⋊M4(2)φ: C22⋊C4/C23C2 ⊆ Aut C2364C2^3.170(C2^2:C4)128,219
C23.171(C22⋊C4) = D45M4(2)φ: C22⋊C4/C23C2 ⊆ Aut C2332C2^3.171(C2^2:C4)128,222
C23.172(C22⋊C4) = Q85M4(2)φ: C22⋊C4/C23C2 ⊆ Aut C2364C2^3.172(C2^2:C4)128,223
C23.173(C22⋊C4) = C24.56D4φ: C22⋊C4/C23C2 ⊆ Aut C2332C2^3.173(C2^2:C4)128,242
C23.174(C22⋊C4) = C24.57D4φ: C22⋊C4/C23C2 ⊆ Aut C2332C2^3.174(C2^2:C4)128,243
C23.175(C22⋊C4) = C24.60D4φ: C22⋊C4/C23C2 ⊆ Aut C2332C2^3.175(C2^2:C4)128,251
C23.176(C22⋊C4) = C24.61D4φ: C22⋊C4/C23C2 ⊆ Aut C2332C2^3.176(C2^2:C4)128,252
C23.177(C22⋊C4) = C42.407D4φ: C22⋊C4/C23C2 ⊆ Aut C2332C2^3.177(C2^2:C4)128,259
C23.178(C22⋊C4) = C42.408D4φ: C22⋊C4/C23C2 ⊆ Aut C2364C2^3.178(C2^2:C4)128,260
C23.179(C22⋊C4) = C42.70D4φ: C22⋊C4/C23C2 ⊆ Aut C2332C2^3.179(C2^2:C4)128,265
C23.180(C22⋊C4) = C42.71D4φ: C22⋊C4/C23C2 ⊆ Aut C2364C2^3.180(C2^2:C4)128,266
C23.181(C22⋊C4) = C42.413D4φ: C22⋊C4/C23C2 ⊆ Aut C2332C2^3.181(C2^2:C4)128,277
C23.182(C22⋊C4) = C42.414D4φ: C22⋊C4/C23C2 ⊆ Aut C2364C2^3.182(C2^2:C4)128,278
C23.183(C22⋊C4) = C42.415D4φ: C22⋊C4/C23C2 ⊆ Aut C2364C2^3.183(C2^2:C4)128,280
C23.184(C22⋊C4) = C42.416D4φ: C22⋊C4/C23C2 ⊆ Aut C2364C2^3.184(C2^2:C4)128,281
C23.185(C22⋊C4) = C42.82D4φ: C22⋊C4/C23C2 ⊆ Aut C2332C2^3.185(C2^2:C4)128,287
C23.186(C22⋊C4) = C42.83D4φ: C22⋊C4/C23C2 ⊆ Aut C2364C2^3.186(C2^2:C4)128,288
C23.187(C22⋊C4) = C42.85D4φ: C22⋊C4/C23C2 ⊆ Aut C2364C2^3.187(C2^2:C4)128,290
C23.188(C22⋊C4) = C23.28C42φ: C22⋊C4/C23C2 ⊆ Aut C2364C2^3.188(C2^2:C4)128,460
C23.189(C22⋊C4) = C2×C4.9C42φ: C22⋊C4/C23C2 ⊆ Aut C2332C2^3.189(C2^2:C4)128,462
C23.190(C22⋊C4) = C24.63D4φ: C22⋊C4/C23C2 ⊆ Aut C2332C2^3.190(C2^2:C4)128,465
C23.191(C22⋊C4) = C2×M4(2)⋊4C4φ: C22⋊C4/C23C2 ⊆ Aut C2332C2^3.191(C2^2:C4)128,475
C23.192(C22⋊C4) = C243C8φ: C22⋊C4/C23C2 ⊆ Aut C2332C2^3.192(C2^2:C4)128,511
C23.193(C22⋊C4) = C4.C22≀C2φ: C22⋊C4/C23C2 ⊆ Aut C2332C2^3.193(C2^2:C4)128,516
C23.194(C22⋊C4) = C23.35D8φ: C22⋊C4/C23C2 ⊆ Aut C2332C2^3.194(C2^2:C4)128,518
C23.195(C22⋊C4) = C24.155D4φ: C22⋊C4/C23C2 ⊆ Aut C2364C2^3.195(C2^2:C4)128,519
C23.196(C22⋊C4) = C24.66D4φ: C22⋊C4/C23C2 ⊆ Aut C2332C2^3.196(C2^2:C4)128,521
C23.197(C22⋊C4) = C23.32M4(2)φ: C22⋊C4/C23C2 ⊆ Aut C2364C2^3.197(C2^2:C4)128,549
C23.198(C22⋊C4) = (C22×C4).275D4φ: C22⋊C4/C23C2 ⊆ Aut C2332C2^3.198(C2^2:C4)128,553
C23.199(C22⋊C4) = C23.36D8φ: C22⋊C4/C23C2 ⊆ Aut C2364C2^3.199(C2^2:C4)128,555
C23.200(C22⋊C4) = C24.157D4φ: C22⋊C4/C23C2 ⊆ Aut C2364C2^3.200(C2^2:C4)128,556
C23.201(C22⋊C4) = C2×C2≀C4φ: C22⋊C4/C23C2 ⊆ Aut C2316C2^3.201(C2^2:C4)128,850
C23.202(C22⋊C4) = C2×C23.D4φ: C22⋊C4/C23C2 ⊆ Aut C2332C2^3.202(C2^2:C4)128,851
C23.203(C22⋊C4) = C2×C42.C4φ: C22⋊C4/C23C2 ⊆ Aut C2332C2^3.203(C2^2:C4)128,862
C23.204(C22⋊C4) = C2×C42.3C4φ: C22⋊C4/C23C2 ⊆ Aut C2332C2^3.204(C2^2:C4)128,863
C23.205(C22⋊C4) = C2×C23.34D4φ: C22⋊C4/C23C2 ⊆ Aut C2364C2^3.205(C2^2:C4)128,1011
C23.206(C22⋊C4) = C2×C24.4C4φ: C22⋊C4/C23C2 ⊆ Aut C2332C2^3.206(C2^2:C4)128,1609
C23.207(C22⋊C4) = C2×C23.37D4φ: C22⋊C4/C23C2 ⊆ Aut C2332C2^3.207(C2^2:C4)128,1625
C23.208(C22⋊C4) = C2×C23.38D4φ: C22⋊C4/C23C2 ⊆ Aut C2364C2^3.208(C2^2:C4)128,1626
C23.209(C22⋊C4) = (C2×C4).98D8central extension (φ=1)64C2^3.209(C2^2:C4)128,2
C23.210(C22⋊C4) = C4⋊C4⋊C8central extension (φ=1)128C2^3.210(C2^2:C4)128,3
C23.211(C22⋊C4) = (C2×Q8)⋊C8central extension (φ=1)128C2^3.211(C2^2:C4)128,4
C23.212(C22⋊C4) = C42.46Q8central extension (φ=1)128C2^3.212(C2^2:C4)128,11
C23.213(C22⋊C4) = C23.19C42central extension (φ=1)64C2^3.213(C2^2:C4)128,12
C23.214(C22⋊C4) = C23.30D8central extension (φ=1)32C2^3.214(C2^2:C4)128,26
C23.215(C22⋊C4) = C42.7Q8central extension (φ=1)128C2^3.215(C2^2:C4)128,27
C23.216(C22⋊C4) = C42.8Q8central extension (φ=1)128C2^3.216(C2^2:C4)128,28
C23.217(C22⋊C4) = C2×D4⋊C8central extension (φ=1)64C2^3.217(C2^2:C4)128,206
C23.218(C22⋊C4) = C2×Q8⋊C8central extension (φ=1)128C2^3.218(C2^2:C4)128,207
C23.219(C22⋊C4) = C2×C42.C22central extension (φ=1)64C2^3.219(C2^2:C4)128,254
C23.220(C22⋊C4) = C2×C42.2C22central extension (φ=1)128C2^3.220(C2^2:C4)128,255
C23.221(C22⋊C4) = C2×C4.D8central extension (φ=1)64C2^3.221(C2^2:C4)128,270
C23.222(C22⋊C4) = C2×C4.10D8central extension (φ=1)128C2^3.222(C2^2:C4)128,271
C23.223(C22⋊C4) = C2×C4.6Q16central extension (φ=1)128C2^3.223(C2^2:C4)128,273
C23.224(C22⋊C4) = C2×C22.7C42central extension (φ=1)128C2^3.224(C2^2:C4)128,459
C23.225(C22⋊C4) = C2×C426C4central extension (φ=1)32C2^3.225(C2^2:C4)128,464
C23.226(C22⋊C4) = C2×C22.4Q16central extension (φ=1)128C2^3.226(C2^2:C4)128,466
C23.227(C22⋊C4) = C2×C22.C42central extension (φ=1)64C2^3.227(C2^2:C4)128,473
C23.228(C22⋊C4) = C22×C2.C42central extension (φ=1)128C2^3.228(C2^2:C4)128,998
C23.229(C22⋊C4) = C22×C22⋊C8central extension (φ=1)64C2^3.229(C2^2:C4)128,1608
C23.230(C22⋊C4) = C22×C4.D4central extension (φ=1)32C2^3.230(C2^2:C4)128,1617
C23.231(C22⋊C4) = C22×C4.10D4central extension (φ=1)64C2^3.231(C2^2:C4)128,1618
C23.232(C22⋊C4) = C22×D4⋊C4central extension (φ=1)64C2^3.232(C2^2:C4)128,1622
C23.233(C22⋊C4) = C22×Q8⋊C4central extension (φ=1)128C2^3.233(C2^2:C4)128,1623

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