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Extensions 1→N→G→Q→1 with N=C4 and Q=C2×C7⋊D4

Direct product G=N×Q with N=C4 and Q=C2×C7⋊D4
dρLabelID
C2×C4×C7⋊D4224C2xC4xC7:D4448,1241

Semidirect products G=N:Q with N=C4 and Q=C2×C7⋊D4
extensionφ:Q→Aut NdρLabelID
C4⋊1(C2×C7⋊D4) = C2×C28⋊D4φ: C2×C7⋊D4/C2×Dic7 → C2 ⊆ Aut C4224C4:1(C2xC7:D4)448,1256
C4⋊2(C2×C7⋊D4) = D4×C7⋊D4φ: C2×C7⋊D4/C7⋊D4 → C2 ⊆ Aut C4112C4:2(C2xC7:D4)448,1254
C4⋊3(C2×C7⋊D4) = C2×C28⋊2D4φ: C2×C7⋊D4/C22×D7 → C2 ⊆ Aut C4224C4:3(C2xC7:D4)448,1253
C4⋊4(C2×C7⋊D4) = C2×C28⋊7D4φ: C2×C7⋊D4/C22×C14 → C2 ⊆ Aut C4224C4:4(C2xC7:D4)448,1243

Non-split extensions G=N.Q with N=C4 and Q=C2×C7⋊D4
extensionφ:Q→Aut NdρLabelID
C4.1(C2×C7⋊D4) = C2×C7⋊D16φ: C2×C7⋊D4/C2×Dic7 → C2 ⊆ Aut C4224C4.1(C2xC7:D4)448,680
C4.2(C2×C7⋊D4) = D8.D14φ: C2×C7⋊D4/C2×Dic7 → C2 ⊆ Aut C41124C4.2(C2xC7:D4)448,681
C4.3(C2×C7⋊D4) = C2×D8.D7φ: C2×C7⋊D4/C2×Dic7 → C2 ⊆ Aut C4224C4.3(C2xC7:D4)448,682
C4.4(C2×C7⋊D4) = C56⋊5D4φ: C2×C7⋊D4/C2×Dic7 → C2 ⊆ Aut C4224C4.4(C2xC7:D4)448,685
C4.5(C2×C7⋊D4) = C56⋊11D4φ: C2×C7⋊D4/C2×Dic7 → C2 ⊆ Aut C4224C4.5(C2xC7:D4)448,688
C4.6(C2×C7⋊D4) = C56.22D4φ: C2×C7⋊D4/C2×Dic7 → C2 ⊆ Aut C4224C4.6(C2xC7:D4)448,689
C4.7(C2×C7⋊D4) = C56.31D4φ: C2×C7⋊D4/C2×Dic7 → C2 ⊆ Aut C4224C4.7(C2xC7:D4)448,701
C4.8(C2×C7⋊D4) = C56.43D4φ: C2×C7⋊D4/C2×Dic7 → C2 ⊆ Aut C4224C4.8(C2xC7:D4)448,702
C4.9(C2×C7⋊D4) = C56⋊15D4φ: C2×C7⋊D4/C2×Dic7 → C2 ⊆ Aut C4224C4.9(C2xC7:D4)448,709
C4.10(C2×C7⋊D4) = C56⋊9D4φ: C2×C7⋊D4/C2×Dic7 → C2 ⊆ Aut C4224C4.10(C2xC7:D4)448,710
C4.11(C2×C7⋊D4) = C2×C7⋊SD32φ: C2×C7⋊D4/C2×Dic7 → C2 ⊆ Aut C4224C4.11(C2xC7:D4)448,712
C4.12(C2×C7⋊D4) = Q16.D14φ: C2×C7⋊D4/C2×Dic7 → C2 ⊆ Aut C42244C4.12(C2xC7:D4)448,713
C4.13(C2×C7⋊D4) = C2×C7⋊Q32φ: C2×C7⋊D4/C2×Dic7 → C2 ⊆ Aut C4448C4.13(C2xC7:D4)448,714
C4.14(C2×C7⋊D4) = C56.26D4φ: C2×C7⋊D4/C2×Dic7 → C2 ⊆ Aut C4448C4.14(C2xC7:D4)448,715
C4.15(C2×C7⋊D4) = C56.37D4φ: C2×C7⋊D4/C2×Dic7 → C2 ⊆ Aut C4224C4.15(C2xC7:D4)448,724
C4.16(C2×C7⋊D4) = C56.28D4φ: C2×C7⋊D4/C2×Dic7 → C2 ⊆ Aut C4224C4.16(C2xC7:D4)448,725
C4.17(C2×C7⋊D4) = Q16⋊D14φ: C2×C7⋊D4/C2×Dic7 → C2 ⊆ Aut C41124+C4.17(C2xC7:D4)448,727
C4.18(C2×C7⋊D4) = C56.30C23φ: C2×C7⋊D4/C2×Dic7 → C2 ⊆ Aut C42244C4.18(C2xC7:D4)448,728
C4.19(C2×C7⋊D4) = C56.31C23φ: C2×C7⋊D4/C2×Dic7 → C2 ⊆ Aut C42244-C4.19(C2xC7:D4)448,729
C4.20(C2×C7⋊D4) = C22×D4⋊D7φ: C2×C7⋊D4/C2×Dic7 → C2 ⊆ Aut C4224C4.20(C2xC7:D4)448,1245
C4.21(C2×C7⋊D4) = C2×D4.D14φ: C2×C7⋊D4/C2×Dic7 → C2 ⊆ Aut C4112C4.21(C2xC7:D4)448,1246
C4.22(C2×C7⋊D4) = C22×D4.D7φ: C2×C7⋊D4/C2×Dic7 → C2 ⊆ Aut C4224C4.22(C2xC7:D4)448,1247
C4.23(C2×C7⋊D4) = C2×C28.17D4φ: C2×C7⋊D4/C2×Dic7 → C2 ⊆ Aut C4224C4.23(C2xC7:D4)448,1250
C4.24(C2×C7⋊D4) = C22×Q8⋊D7φ: C2×C7⋊D4/C2×Dic7 → C2 ⊆ Aut C4224C4.24(C2xC7:D4)448,1260
C4.25(C2×C7⋊D4) = C2×C28.C23φ: C2×C7⋊D4/C2×Dic7 → C2 ⊆ Aut C4224C4.25(C2xC7:D4)448,1261
C4.26(C2×C7⋊D4) = C22×C7⋊Q16φ: C2×C7⋊D4/C2×Dic7 → C2 ⊆ Aut C4448C4.26(C2xC7:D4)448,1262
C4.27(C2×C7⋊D4) = C2×Dic7⋊Q8φ: C2×C7⋊D4/C2×Dic7 → C2 ⊆ Aut C4448C4.27(C2xC7:D4)448,1263
C4.28(C2×C7⋊D4) = C2×C28.23D4φ: C2×C7⋊D4/C2×Dic7 → C2 ⊆ Aut C4224C4.28(C2xC7:D4)448,1267
C4.29(C2×C7⋊D4) = C2×D4⋊D14φ: C2×C7⋊D4/C2×Dic7 → C2 ⊆ Aut C4112C4.29(C2xC7:D4)448,1273
C4.30(C2×C7⋊D4) = C2×D4.8D14φ: C2×C7⋊D4/C2×Dic7 → C2 ⊆ Aut C4224C4.30(C2xC7:D4)448,1274
C4.31(C2×C7⋊D4) = C2×D4.9D14φ: C2×C7⋊D4/C2×Dic7 → C2 ⊆ Aut C4224C4.31(C2xC7:D4)448,1276
C4.32(C2×C7⋊D4) = C14.1052- 1+4φ: C2×C7⋊D4/C2×Dic7 → C2 ⊆ Aut C4224C4.32(C2xC7:D4)448,1278
C4.33(C2×C7⋊D4) = C14.1462+ 1+4φ: C2×C7⋊D4/C2×Dic7 → C2 ⊆ Aut C4112C4.33(C2xC7:D4)448,1283
C4.34(C2×C7⋊D4) = Dic7⋊D8φ: C2×C7⋊D4/C7⋊D4 → C2 ⊆ Aut C4224C4.34(C2xC7:D4)448,684
C4.35(C2×C7⋊D4) = (C2×D8).D7φ: C2×C7⋊D4/C7⋊D4 → C2 ⊆ Aut C4224C4.35(C2xC7:D4)448,687
C4.36(C2×C7⋊D4) = D28⋊D4φ: C2×C7⋊D4/C7⋊D4 → C2 ⊆ Aut C4112C4.36(C2xC7:D4)448,690
C4.37(C2×C7⋊D4) = Dic14⋊D4φ: C2×C7⋊D4/C7⋊D4 → C2 ⊆ Aut C4224C4.37(C2xC7:D4)448,692
C4.38(C2×C7⋊D4) = Dic7⋊3SD16φ: C2×C7⋊D4/C7⋊D4 → C2 ⊆ Aut C4224C4.38(C2xC7:D4)448,696
C4.39(C2×C7⋊D4) = Dic7⋊5SD16φ: C2×C7⋊D4/C7⋊D4 → C2 ⊆ Aut C4224C4.39(C2xC7:D4)448,697
C4.40(C2×C7⋊D4) = (C7×D4).D4φ: C2×C7⋊D4/C7⋊D4 → C2 ⊆ Aut C4224C4.40(C2xC7:D4)448,699
C4.41(C2×C7⋊D4) = (C7×Q8).D4φ: C2×C7⋊D4/C7⋊D4 → C2 ⊆ Aut C4224C4.41(C2xC7:D4)448,700
C4.42(C2×C7⋊D4) = D14⋊6SD16φ: C2×C7⋊D4/C7⋊D4 → C2 ⊆ Aut C4112C4.42(C2xC7:D4)448,703
C4.43(C2×C7⋊D4) = Dic14⋊7D4φ: C2×C7⋊D4/C7⋊D4 → C2 ⊆ Aut C4224C4.43(C2xC7:D4)448,704
C4.44(C2×C7⋊D4) = D28⋊7D4φ: C2×C7⋊D4/C7⋊D4 → C2 ⊆ Aut C4224C4.44(C2xC7:D4)448,706
C4.45(C2×C7⋊D4) = Dic14.16D4φ: C2×C7⋊D4/C7⋊D4 → C2 ⊆ Aut C4224C4.45(C2xC7:D4)448,707
C4.46(C2×C7⋊D4) = Dic7⋊3Q16φ: C2×C7⋊D4/C7⋊D4 → C2 ⊆ Aut C4448C4.46(C2xC7:D4)448,716
C4.47(C2×C7⋊D4) = (C2×Q16)⋊D7φ: C2×C7⋊D4/C7⋊D4 → C2 ⊆ Aut C4224C4.47(C2xC7:D4)448,719
C4.48(C2×C7⋊D4) = D14⋊5Q16φ: C2×C7⋊D4/C7⋊D4 → C2 ⊆ Aut C4224C4.48(C2xC7:D4)448,720
C4.49(C2×C7⋊D4) = D28.17D4φ: C2×C7⋊D4/C7⋊D4 → C2 ⊆ Aut C4224C4.49(C2xC7:D4)448,721
C4.50(C2×C7⋊D4) = D28⋊18D4φ: C2×C7⋊D4/C7⋊D4 → C2 ⊆ Aut C4568+C4.50(C2xC7:D4)448,732
C4.51(C2×C7⋊D4) = M4(2).D14φ: C2×C7⋊D4/C7⋊D4 → C2 ⊆ Aut C41128+C4.51(C2xC7:D4)448,733
C4.52(C2×C7⋊D4) = M4(2).13D14φ: C2×C7⋊D4/C7⋊D4 → C2 ⊆ Aut C41128-C4.52(C2xC7:D4)448,734
C4.53(C2×C7⋊D4) = D28.38D4φ: C2×C7⋊D4/C7⋊D4 → C2 ⊆ Aut C41128-C4.53(C2xC7:D4)448,735
C4.54(C2×C7⋊D4) = D28.39D4φ: C2×C7⋊D4/C7⋊D4 → C2 ⊆ Aut C41128+C4.54(C2xC7:D4)448,736
C4.55(C2×C7⋊D4) = M4(2).15D14φ: C2×C7⋊D4/C7⋊D4 → C2 ⊆ Aut C41128+C4.55(C2xC7:D4)448,737
C4.56(C2×C7⋊D4) = M4(2).16D14φ: C2×C7⋊D4/C7⋊D4 → C2 ⊆ Aut C42248-C4.56(C2xC7:D4)448,738
C4.57(C2×C7⋊D4) = D28.40D4φ: C2×C7⋊D4/C7⋊D4 → C2 ⊆ Aut C41128-C4.57(C2xC7:D4)448,739
C4.58(C2×C7⋊D4) = (C2×C14)⋊8D8φ: C2×C7⋊D4/C7⋊D4 → C2 ⊆ Aut C4112C4.58(C2xC7:D4)448,751
C4.59(C2×C7⋊D4) = (C7×D4).31D4φ: C2×C7⋊D4/C7⋊D4 → C2 ⊆ Aut C4112C4.59(C2xC7:D4)448,752
C4.60(C2×C7⋊D4) = (C7×Q8)⋊13D4φ: C2×C7⋊D4/C7⋊D4 → C2 ⊆ Aut C4224C4.60(C2xC7:D4)448,761
C4.61(C2×C7⋊D4) = (C2×C14)⋊8Q16φ: C2×C7⋊D4/C7⋊D4 → C2 ⊆ Aut C4224C4.61(C2xC7:D4)448,762
C4.62(C2×C7⋊D4) = (C7×D4)⋊14D4φ: C2×C7⋊D4/C7⋊D4 → C2 ⊆ Aut C4224C4.62(C2xC7:D4)448,772
C4.63(C2×C7⋊D4) = (C7×D4).32D4φ: C2×C7⋊D4/C7⋊D4 → C2 ⊆ Aut C4224C4.63(C2xC7:D4)448,773
C4.64(C2×C7⋊D4) = 2+ 1+4⋊D7φ: C2×C7⋊D4/C7⋊D4 → C2 ⊆ Aut C4568+C4.64(C2xC7:D4)448,775
C4.65(C2×C7⋊D4) = 2+ 1+4.D7φ: C2×C7⋊D4/C7⋊D4 → C2 ⊆ Aut C41128-C4.65(C2xC7:D4)448,776
C4.66(C2×C7⋊D4) = 2- 1+4⋊D7φ: C2×C7⋊D4/C7⋊D4 → C2 ⊆ Aut C41128+C4.66(C2xC7:D4)448,779
C4.67(C2×C7⋊D4) = 2- 1+4.D7φ: C2×C7⋊D4/C7⋊D4 → C2 ⊆ Aut C41128-C4.67(C2xC7:D4)448,780
C4.68(C2×C7⋊D4) = C24.42D14φ: C2×C7⋊D4/C7⋊D4 → C2 ⊆ Aut C4112C4.68(C2xC7:D4)448,1259
C4.69(C2×C7⋊D4) = Q8×C7⋊D4φ: C2×C7⋊D4/C7⋊D4 → C2 ⊆ Aut C4224C4.69(C2xC7:D4)448,1268
C4.70(C2×C7⋊D4) = C14.452- 1+4φ: C2×C7⋊D4/C7⋊D4 → C2 ⊆ Aut C4224C4.70(C2xC7:D4)448,1270
C4.71(C2×C7⋊D4) = C14.1042- 1+4φ: C2×C7⋊D4/C7⋊D4 → C2 ⊆ Aut C4224C4.71(C2xC7:D4)448,1277
C4.72(C2×C7⋊D4) = C14.1452+ 1+4φ: C2×C7⋊D4/C7⋊D4 → C2 ⊆ Aut C4112C4.72(C2xC7:D4)448,1282
C4.73(C2×C7⋊D4) = C14.1072- 1+4φ: C2×C7⋊D4/C7⋊D4 → C2 ⊆ Aut C4224C4.73(C2xC7:D4)448,1284
C4.74(C2×C7⋊D4) = C14.1482+ 1+4φ: C2×C7⋊D4/C7⋊D4 → C2 ⊆ Aut C4224C4.74(C2xC7:D4)448,1287
C4.75(C2×C7⋊D4) = D28.32C23φ: C2×C7⋊D4/C7⋊D4 → C2 ⊆ Aut C41128+C4.75(C2xC7:D4)448,1288
C4.76(C2×C7⋊D4) = D28.33C23φ: C2×C7⋊D4/C7⋊D4 → C2 ⊆ Aut C41128-C4.76(C2xC7:D4)448,1289
C4.77(C2×C7⋊D4) = D28.34C23φ: C2×C7⋊D4/C7⋊D4 → C2 ⊆ Aut C41128+C4.77(C2xC7:D4)448,1290
C4.78(C2×C7⋊D4) = D28.35C23φ: C2×C7⋊D4/C7⋊D4 → C2 ⊆ Aut C42248-C4.78(C2xC7:D4)448,1291
C4.79(C2×C7⋊D4) = C56⋊6D4φ: C2×C7⋊D4/C22×D7 → C2 ⊆ Aut C4224C4.79(C2xC7:D4)448,691
C4.80(C2×C7⋊D4) = C56⋊12D4φ: C2×C7⋊D4/C22×D7 → C2 ⊆ Aut C4224C4.80(C2xC7:D4)448,693
C4.81(C2×C7⋊D4) = C56.23D4φ: C2×C7⋊D4/C22×D7 → C2 ⊆ Aut C41124C4.81(C2xC7:D4)448,694
C4.82(C2×C7⋊D4) = C56⋊14D4φ: C2×C7⋊D4/C22×D7 → C2 ⊆ Aut C4224C4.82(C2xC7:D4)448,705
C4.83(C2×C7⋊D4) = C56⋊8D4φ: C2×C7⋊D4/C22×D7 → C2 ⊆ Aut C4224C4.83(C2xC7:D4)448,708
C4.84(C2×C7⋊D4) = C56.44D4φ: C2×C7⋊D4/C22×D7 → C2 ⊆ Aut C41124C4.84(C2xC7:D4)448,711
C4.85(C2×C7⋊D4) = D14⋊3Q16φ: C2×C7⋊D4/C22×D7 → C2 ⊆ Aut C4224C4.85(C2xC7:D4)448,722
C4.86(C2×C7⋊D4) = C56.36D4φ: C2×C7⋊D4/C22×D7 → C2 ⊆ Aut C4224C4.86(C2xC7:D4)448,723
C4.87(C2×C7⋊D4) = C56.29D4φ: C2×C7⋊D4/C22×D7 → C2 ⊆ Aut C42244C4.87(C2xC7:D4)448,726
C4.88(C2×C7⋊D4) = C2×D4⋊Dic7φ: C2×C7⋊D4/C22×D7 → C2 ⊆ Aut C4224C4.88(C2xC7:D4)448,748
C4.89(C2×C7⋊D4) = (D4×C14)⋊6C4φ: C2×C7⋊D4/C22×D7 → C2 ⊆ Aut C4112C4.89(C2xC7:D4)448,749
C4.90(C2×C7⋊D4) = C2×C28.D4φ: C2×C7⋊D4/C22×D7 → C2 ⊆ Aut C4112C4.90(C2xC7:D4)448,750
C4.91(C2×C7⋊D4) = C2×Q8⋊Dic7φ: C2×C7⋊D4/C22×D7 → C2 ⊆ Aut C4448C4.91(C2xC7:D4)448,758
C4.92(C2×C7⋊D4) = (Q8×C14)⋊6C4φ: C2×C7⋊D4/C22×D7 → C2 ⊆ Aut C4224C4.92(C2xC7:D4)448,759
C4.93(C2×C7⋊D4) = C2×C28.10D4φ: C2×C7⋊D4/C22×D7 → C2 ⊆ Aut C4224C4.93(C2xC7:D4)448,760
C4.94(C2×C7⋊D4) = C4○D4⋊Dic7φ: C2×C7⋊D4/C22×D7 → C2 ⊆ Aut C4224C4.94(C2xC7:D4)448,766
C4.95(C2×C7⋊D4) = C28.(C2×D4)φ: C2×C7⋊D4/C22×D7 → C2 ⊆ Aut C4224C4.95(C2xC7:D4)448,767
C4.96(C2×C7⋊D4) = (D4×C14).16C4φ: C2×C7⋊D4/C22×D7 → C2 ⊆ Aut C41124C4.96(C2xC7:D4)448,771
C4.97(C2×C7⋊D4) = C24.41D14φ: C2×C7⋊D4/C22×D7 → C2 ⊆ Aut C4112C4.97(C2xC7:D4)448,1258
C4.98(C2×C7⋊D4) = C2×D14⋊3Q8φ: C2×C7⋊D4/C22×D7 → C2 ⊆ Aut C4224C4.98(C2xC7:D4)448,1266
C4.99(C2×C7⋊D4) = C14.442- 1+4φ: C2×C7⋊D4/C22×D7 → C2 ⊆ Aut C4224C4.99(C2xC7:D4)448,1269
C4.100(C2×C7⋊D4) = (C2×C28)⋊15D4φ: C2×C7⋊D4/C22×D7 → C2 ⊆ Aut C4112C4.100(C2xC7:D4)448,1281
C4.101(C2×C7⋊D4) = C14.1082- 1+4φ: C2×C7⋊D4/C22×D7 → C2 ⊆ Aut C4224C4.101(C2xC7:D4)448,1286
C4.102(C2×C7⋊D4) = C2×C28.44D4φ: C2×C7⋊D4/C22×C14 → C2 ⊆ Aut C4448C4.102(C2xC7:D4)448,637
C4.103(C2×C7⋊D4) = C2×C2.D56φ: C2×C7⋊D4/C22×C14 → C2 ⊆ Aut C4224C4.103(C2xC7:D4)448,646
C4.104(C2×C7⋊D4) = C23.23D28φ: C2×C7⋊D4/C22×C14 → C2 ⊆ Aut C4224C4.104(C2xC7:D4)448,647
C4.105(C2×C7⋊D4) = C56⋊30D4φ: C2×C7⋊D4/C22×C14 → C2 ⊆ Aut C4224C4.105(C2xC7:D4)448,648
C4.106(C2×C7⋊D4) = C56⋊29D4φ: C2×C7⋊D4/C22×C14 → C2 ⊆ Aut C4224C4.106(C2xC7:D4)448,649
C4.107(C2×C7⋊D4) = C56.82D4φ: C2×C7⋊D4/C22×C14 → C2 ⊆ Aut C4224C4.107(C2xC7:D4)448,650
C4.108(C2×C7⋊D4) = C23.46D28φ: C2×C7⋊D4/C22×C14 → C2 ⊆ Aut C4224C4.108(C2xC7:D4)448,654
C4.109(C2×C7⋊D4) = C2×C28.46D4φ: C2×C7⋊D4/C22×C14 → C2 ⊆ Aut C4112C4.109(C2xC7:D4)448,664
C4.110(C2×C7⋊D4) = C23.48D28φ: C2×C7⋊D4/C22×C14 → C2 ⊆ Aut C4112C4.110(C2xC7:D4)448,665
C4.111(C2×C7⋊D4) = M4(2).31D14φ: C2×C7⋊D4/C22×C14 → C2 ⊆ Aut C41124C4.111(C2xC7:D4)448,666
C4.112(C2×C7⋊D4) = C23.49D28φ: C2×C7⋊D4/C22×C14 → C2 ⊆ Aut C4224C4.112(C2xC7:D4)448,667
C4.113(C2×C7⋊D4) = C56⋊2D4φ: C2×C7⋊D4/C22×C14 → C2 ⊆ Aut C4224C4.113(C2xC7:D4)448,668
C4.114(C2×C7⋊D4) = C56⋊3D4φ: C2×C7⋊D4/C22×C14 → C2 ⊆ Aut C4224C4.114(C2xC7:D4)448,669
C4.115(C2×C7⋊D4) = C2×C4.12D28φ: C2×C7⋊D4/C22×C14 → C2 ⊆ Aut C4224C4.115(C2xC7:D4)448,670
C4.116(C2×C7⋊D4) = C56.4D4φ: C2×C7⋊D4/C22×C14 → C2 ⊆ Aut C4224C4.116(C2xC7:D4)448,671
C4.117(C2×C7⋊D4) = D4.3D28φ: C2×C7⋊D4/C22×C14 → C2 ⊆ Aut C41124C4.117(C2xC7:D4)448,675
C4.118(C2×C7⋊D4) = D4.4D28φ: C2×C7⋊D4/C22×C14 → C2 ⊆ Aut C41124+C4.118(C2xC7:D4)448,676
C4.119(C2×C7⋊D4) = D4.5D28φ: C2×C7⋊D4/C22×C14 → C2 ⊆ Aut C42244-C4.119(C2xC7:D4)448,677
C4.120(C2×C7⋊D4) = C2×C28.48D4φ: C2×C7⋊D4/C22×C14 → C2 ⊆ Aut C4224C4.120(C2xC7:D4)448,1237
C4.121(C2×C7⋊D4) = C28.C24φ: C2×C7⋊D4/C22×C14 → C2 ⊆ Aut C41124C4.121(C2xC7:D4)448,1275
C4.122(C2×C7⋊D4) = C2×Dic7⋊C8central extension (φ=1)448C4.122(C2xC7:D4)448,633
C4.123(C2×C7⋊D4) = Dic7⋊C8⋊C2central extension (φ=1)224C4.123(C2xC7:D4)448,636
C4.124(C2×C7⋊D4) = C2×D14⋊C8central extension (φ=1)224C4.124(C2xC7:D4)448,642
C4.125(C2×C7⋊D4) = C8×C7⋊D4central extension (φ=1)224C4.125(C2xC7:D4)448,643
C4.126(C2×C7⋊D4) = (C22×C8)⋊D7central extension (φ=1)224C4.126(C2xC7:D4)448,644
C4.127(C2×C7⋊D4) = C56⋊32D4central extension (φ=1)224C4.127(C2xC7:D4)448,645
C4.128(C2×C7⋊D4) = Dic7⋊4M4(2)central extension (φ=1)224C4.128(C2xC7:D4)448,652
C4.129(C2×C7⋊D4) = C28.439(C2×D4)central extension (φ=1)224C4.129(C2xC7:D4)448,653
C4.130(C2×C7⋊D4) = C2×C28.53D4central extension (φ=1)224C4.130(C2xC7:D4)448,657
C4.131(C2×C7⋊D4) = C23.Dic14central extension (φ=1)1124C4.131(C2xC7:D4)448,658
C4.132(C2×C7⋊D4) = D14⋊6M4(2)central extension (φ=1)112C4.132(C2xC7:D4)448,660
C4.133(C2×C7⋊D4) = C56⋊D4central extension (φ=1)224C4.133(C2xC7:D4)448,661
C4.134(C2×C7⋊D4) = C56⋊18D4central extension (φ=1)224C4.134(C2xC7:D4)448,662
C4.135(C2×C7⋊D4) = (C2×D28).14C4central extension (φ=1)224C4.135(C2xC7:D4)448,663
C4.136(C2×C7⋊D4) = C2×D28⋊4C4central extension (φ=1)112C4.136(C2xC7:D4)448,672
C4.137(C2×C7⋊D4) = C23.20D28central extension (φ=1)1124C4.137(C2xC7:D4)448,673
C4.138(C2×C7⋊D4) = C56.93D4central extension (φ=1)1124C4.138(C2xC7:D4)448,678
C4.139(C2×C7⋊D4) = C56.50D4central extension (φ=1)1124C4.139(C2xC7:D4)448,679
C4.140(C2×C7⋊D4) = C2×C28.55D4central extension (φ=1)224C4.140(C2xC7:D4)448,740
C4.141(C2×C7⋊D4) = C24.4Dic7central extension (φ=1)112C4.141(C2xC7:D4)448,741
C4.142(C2×C7⋊D4) = (D4×C14).11C4central extension (φ=1)224C4.142(C2xC7:D4)448,768
C4.143(C2×C7⋊D4) = C2×D4⋊2Dic7central extension (φ=1)112C4.143(C2xC7:D4)448,769
C4.144(C2×C7⋊D4) = (D4×C14)⋊9C4central extension (φ=1)1124C4.144(C2xC7:D4)448,770
C4.145(C2×C7⋊D4) = C24.72D14central extension (φ=1)112C4.145(C2xC7:D4)448,1244
C4.146(C2×C7⋊D4) = (C2×C28)⋊17D4central extension (φ=1)224C4.146(C2xC7:D4)448,1285

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