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Extensions 1→N→G→Q→1 with N=C28 and Q=C22⋊C4

Direct product G=N×Q with N=C28 and Q=C22⋊C4
dρLabelID
C22⋊C4×C28224C2^2:C4xC28448,785

Semidirect products G=N:Q with N=C28 and Q=C22⋊C4
extensionφ:Q→Aut NdρLabelID
C28⋊1(C22⋊C4) = C4⋊(D14⋊C4)φ: C22⋊C4/C22 → C22 ⊆ Aut C28224C28:1(C2^2:C4)448,521
C28⋊2(C22⋊C4) = (C2×D28)⋊10C4φ: C22⋊C4/C22 → C22 ⊆ Aut C28224C28:2(C2^2:C4)448,522
C28⋊3(C22⋊C4) = C24.19D14φ: C22⋊C4/C22 → C22 ⊆ Aut C28224C28:3(C2^2:C4)448,755
C28⋊4(C22⋊C4) = (C2×C4)⋊6D28φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C28224C28:4(C2^2:C4)448,473
C28⋊5(C22⋊C4) = C4×D14⋊C4φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C28224C28:5(C2^2:C4)448,472
C28⋊6(C22⋊C4) = C7×C24.3C22φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C28224C28:6(C2^2:C4)448,798
C28⋊7(C22⋊C4) = C23.27D28φ: C22⋊C4/C23 → C2 ⊆ Aut C28224C28:7(C2^2:C4)448,746
C28⋊8(C22⋊C4) = C4×C23.D7φ: C22⋊C4/C23 → C2 ⊆ Aut C28224C28:8(C2^2:C4)448,743
C28⋊9(C22⋊C4) = C7×C23.7Q8φ: C22⋊C4/C23 → C2 ⊆ Aut C28224C28:9(C2^2:C4)448,788

Non-split extensions G=N.Q with N=C28 and Q=C22⋊C4
extensionφ:Q→Aut NdρLabelID
C28.1(C22⋊C4) = D56⋊8C4φ: C22⋊C4/C22 → C22 ⊆ Aut C281124C28.1(C2^2:C4)448,45
C28.2(C22⋊C4) = C14.D16φ: C22⋊C4/C22 → C22 ⊆ Aut C28224C28.2(C2^2:C4)448,48
C28.3(C22⋊C4) = C56.6D4φ: C22⋊C4/C22 → C22 ⊆ Aut C28448C28.3(C2^2:C4)448,49
C28.4(C22⋊C4) = D56.C4φ: C22⋊C4/C22 → C22 ⊆ Aut C281124+C28.4(C2^2:C4)448,52
C28.5(C22⋊C4) = C56.8D4φ: C22⋊C4/C22 → C22 ⊆ Aut C282244-C28.5(C2^2:C4)448,53
C28.6(C22⋊C4) = Dic28.C4φ: C22⋊C4/C22 → C22 ⊆ Aut C282244C28.6(C2^2:C4)448,54
C28.7(C22⋊C4) = C28.C42φ: C22⋊C4/C22 → C22 ⊆ Aut C28448C28.7(C2^2:C4)448,86
C28.8(C22⋊C4) = C28.(C4⋊C4)φ: C22⋊C4/C22 → C22 ⊆ Aut C28224C28.8(C2^2:C4)448,87
C28.9(C22⋊C4) = C42⋊Dic7φ: C22⋊C4/C22 → C22 ⊆ Aut C281124C28.9(C2^2:C4)448,88
C28.10(C22⋊C4) = (C2×C28).Q8φ: C22⋊C4/C22 → C22 ⊆ Aut C281124C28.10(C2^2:C4)448,90
C28.11(C22⋊C4) = (C2×C56)⋊C4φ: C22⋊C4/C22 → C22 ⊆ Aut C281124C28.11(C2^2:C4)448,113
C28.12(C22⋊C4) = C28.21C42φ: C22⋊C4/C22 → C22 ⊆ Aut C281124C28.12(C2^2:C4)448,117
C28.13(C22⋊C4) = C14.SD32φ: C22⋊C4/C22 → C22 ⊆ Aut C28224C28.13(C2^2:C4)448,119
C28.14(C22⋊C4) = D8.Dic7φ: C22⋊C4/C22 → C22 ⊆ Aut C281124C28.14(C2^2:C4)448,120
C28.15(C22⋊C4) = C14.Q32φ: C22⋊C4/C22 → C22 ⊆ Aut C28448C28.15(C2^2:C4)448,121
C28.16(C22⋊C4) = Q16.Dic7φ: C22⋊C4/C22 → C22 ⊆ Aut C282244C28.16(C2^2:C4)448,122
C28.17(C22⋊C4) = D8⋊2Dic7φ: C22⋊C4/C22 → C22 ⊆ Aut C281124C28.17(C2^2:C4)448,123
C28.18(C22⋊C4) = C28.58D8φ: C22⋊C4/C22 → C22 ⊆ Aut C282244C28.18(C2^2:C4)448,124
C28.19(C22⋊C4) = C2×C14.D8φ: C22⋊C4/C22 → C22 ⊆ Aut C28224C28.19(C2^2:C4)448,499
C28.20(C22⋊C4) = C4○D28⋊C4φ: C22⋊C4/C22 → C22 ⊆ Aut C28224C28.20(C2^2:C4)448,500
C28.21(C22⋊C4) = C2×C14.Q16φ: C22⋊C4/C22 → C22 ⊆ Aut C28448C28.21(C2^2:C4)448,503
C28.22(C22⋊C4) = (C2×Dic7)⋊6Q8φ: C22⋊C4/C22 → C22 ⊆ Aut C28448C28.22(C2^2:C4)448,508
C28.23(C22⋊C4) = C42⋊4D14φ: C22⋊C4/C22 → C22 ⊆ Aut C281124C28.23(C2^2:C4)448,539
C28.24(C22⋊C4) = C23.46D28φ: C22⋊C4/C22 → C22 ⊆ Aut C28224C28.24(C2^2:C4)448,654
C28.25(C22⋊C4) = D14⋊6M4(2)φ: C22⋊C4/C22 → C22 ⊆ Aut C28112C28.25(C2^2:C4)448,660
C28.26(C22⋊C4) = (C2×D28).14C4φ: C22⋊C4/C22 → C22 ⊆ Aut C28224C28.26(C2^2:C4)448,663
C28.27(C22⋊C4) = C23.48D28φ: C22⋊C4/C22 → C22 ⊆ Aut C28112C28.27(C2^2:C4)448,665
C28.28(C22⋊C4) = C23.49D28φ: C22⋊C4/C22 → C22 ⊆ Aut C28224C28.28(C2^2:C4)448,667
C28.29(C22⋊C4) = C23.20D28φ: C22⋊C4/C22 → C22 ⊆ Aut C281124C28.29(C2^2:C4)448,673
C28.30(C22⋊C4) = C2×D4⋊Dic7φ: C22⋊C4/C22 → C22 ⊆ Aut C28224C28.30(C2^2:C4)448,748
C28.31(C22⋊C4) = (D4×C14)⋊6C4φ: C22⋊C4/C22 → C22 ⊆ Aut C28112C28.31(C2^2:C4)448,749
C28.32(C22⋊C4) = C2×C28.D4φ: C22⋊C4/C22 → C22 ⊆ Aut C28112C28.32(C2^2:C4)448,750
C28.33(C22⋊C4) = C2×Q8⋊Dic7φ: C22⋊C4/C22 → C22 ⊆ Aut C28448C28.33(C2^2:C4)448,758
C28.34(C22⋊C4) = (Q8×C14)⋊6C4φ: C22⋊C4/C22 → C22 ⊆ Aut C28224C28.34(C2^2:C4)448,759
C28.35(C22⋊C4) = C2×C28.10D4φ: C22⋊C4/C22 → C22 ⊆ Aut C28224C28.35(C2^2:C4)448,760
C28.36(C22⋊C4) = (Q8×C14)⋊7C4φ: C22⋊C4/C22 → C22 ⊆ Aut C28448C28.36(C2^2:C4)448,764
C28.37(C22⋊C4) = (D4×C14).11C4φ: C22⋊C4/C22 → C22 ⊆ Aut C28224C28.37(C2^2:C4)448,768
C28.38(C22⋊C4) = (D4×C14)⋊9C4φ: C22⋊C4/C22 → C22 ⊆ Aut C281124C28.38(C2^2:C4)448,770
C28.39(C22⋊C4) = C56.78D4φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C28448C28.39(C2^2:C4)448,60
C28.40(C22⋊C4) = C2.D112φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C28224C28.40(C2^2:C4)448,66
C28.41(C22⋊C4) = D56.1C4φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C282242C28.41(C2^2:C4)448,67
C28.42(C22⋊C4) = C28.3D8φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C281124+C28.42(C2^2:C4)448,73
C28.43(C22⋊C4) = C28.4D8φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C282244-C28.43(C2^2:C4)448,74
C28.44(C22⋊C4) = D56⋊2C4φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C281124C28.44(C2^2:C4)448,75
C28.45(C22⋊C4) = C2×Dic14⋊C4φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C28112C28.45(C2^2:C4)448,461
C28.46(C22⋊C4) = (C2×C28)⋊10Q8φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C28448C28.46(C2^2:C4)448,463
C28.47(C22⋊C4) = C4⋊C4⋊36D14φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C28112C28.47(C2^2:C4)448,535
C28.48(C22⋊C4) = (C2×C4).47D28φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C28224C28.48(C2^2:C4)448,538
C28.49(C22⋊C4) = (C2×D28)⋊13C4φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C281124C28.49(C2^2:C4)448,540
C28.50(C22⋊C4) = C2×C28.44D4φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C28448C28.50(C2^2:C4)448,637
C28.51(C22⋊C4) = (C22×C8)⋊D7φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C28224C28.51(C2^2:C4)448,644
C28.52(C22⋊C4) = C2×C2.D56φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C28224C28.52(C2^2:C4)448,646
C28.53(C22⋊C4) = C2×C28.46D4φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C28112C28.53(C2^2:C4)448,664
C28.54(C22⋊C4) = C2×C4.12D28φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C28224C28.54(C2^2:C4)448,670
C28.55(C22⋊C4) = D14⋊C16φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C28224C28.55(C2^2:C4)448,64
C28.56(C22⋊C4) = D28.C8φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C282242C28.56(C2^2:C4)448,65
C28.57(C22⋊C4) = M5(2)⋊D7φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C281124C28.57(C2^2:C4)448,71
C28.58(C22⋊C4) = Dic14.C8φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C282244C28.58(C2^2:C4)448,72
C28.59(C22⋊C4) = C28.8C42φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C28112C28.59(C2^2:C4)448,80
C28.60(C22⋊C4) = (C2×C28)⋊3C8φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C28448C28.60(C2^2:C4)448,81
C28.61(C22⋊C4) = C28.2C42φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C28112C28.61(C2^2:C4)448,89
C28.62(C22⋊C4) = (C2×C56)⋊5C4φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C28448C28.62(C2^2:C4)448,107
C28.63(C22⋊C4) = C28.10C42φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C28224C28.63(C2^2:C4)448,109
C28.64(C22⋊C4) = C4.(C2×D28)φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C28224C28.64(C2^2:C4)448,536
C28.65(C22⋊C4) = C2×D14⋊C8φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C28224C28.65(C2^2:C4)448,642
C28.66(C22⋊C4) = C23.23D28φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C28224C28.66(C2^2:C4)448,647
C28.67(C22⋊C4) = M4(2).31D14φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C281124C28.67(C2^2:C4)448,666
C28.68(C22⋊C4) = C2×D28⋊4C4φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C28112C28.68(C2^2:C4)448,672
C28.69(C22⋊C4) = C7×C2.D16φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C28224C28.69(C2^2:C4)448,161
C28.70(C22⋊C4) = C7×C2.Q32φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C28448C28.70(C2^2:C4)448,162
C28.71(C22⋊C4) = C7×D8.C4φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C282242C28.71(C2^2:C4)448,163
C28.72(C22⋊C4) = C7×D8⋊2C4φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C281124C28.72(C2^2:C4)448,164
C28.73(C22⋊C4) = C7×M5(2)⋊C2φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C281124C28.73(C2^2:C4)448,165
C28.74(C22⋊C4) = C7×C8.17D4φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C282244C28.74(C2^2:C4)448,166
C28.75(C22⋊C4) = C7×C23.67C23φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C28448C28.75(C2^2:C4)448,799
C28.76(C22⋊C4) = C7×(C22×C8)⋊C2φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C28224C28.76(C2^2:C4)448,816
C28.77(C22⋊C4) = C7×C23.C23φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C281124C28.77(C2^2:C4)448,818
C28.78(C22⋊C4) = C14×C4.D4φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C28112C28.78(C2^2:C4)448,819
C28.79(C22⋊C4) = C14×C4.10D4φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C28224C28.79(C2^2:C4)448,820
C28.80(C22⋊C4) = C14×D4⋊C4φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C28224C28.80(C2^2:C4)448,822
C28.81(C22⋊C4) = C14×Q8⋊C4φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C28448C28.81(C2^2:C4)448,823
C28.82(C22⋊C4) = C7×C23.37D4φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C28112C28.82(C2^2:C4)448,826
C28.83(C22⋊C4) = C7×C23.38D4φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C28224C28.83(C2^2:C4)448,827
C28.84(C22⋊C4) = C7×C42⋊C22φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C281124C28.84(C2^2:C4)448,829
C28.85(C22⋊C4) = C28.9C42φ: C22⋊C4/C23 → C2 ⊆ Aut C28448C28.85(C2^2:C4)448,108
C28.86(C22⋊C4) = M4(2)⋊Dic7φ: C22⋊C4/C23 → C2 ⊆ Aut C28224C28.86(C2^2:C4)448,111
C28.87(C22⋊C4) = C23.9D28φ: C22⋊C4/C23 → C2 ⊆ Aut C281124C28.87(C2^2:C4)448,114
C28.88(C22⋊C4) = M4(2)⋊4Dic7φ: C22⋊C4/C23 → C2 ⊆ Aut C281124C28.88(C2^2:C4)448,116
C28.89(C22⋊C4) = C24.4Dic7φ: C22⋊C4/C23 → C2 ⊆ Aut C28112C28.89(C2^2:C4)448,741
C28.90(C22⋊C4) = C4○D4⋊Dic7φ: C22⋊C4/C23 → C2 ⊆ Aut C28224C28.90(C2^2:C4)448,766
C28.91(C22⋊C4) = (D4×C14).16C4φ: C22⋊C4/C23 → C2 ⊆ Aut C281124C28.91(C2^2:C4)448,771
C28.92(C22⋊C4) = C56.91D4φ: C22⋊C4/C23 → C2 ⊆ Aut C28224C28.92(C2^2:C4)448,106
C28.93(C22⋊C4) = C56.D4φ: C22⋊C4/C23 → C2 ⊆ Aut C281124C28.93(C2^2:C4)448,110
C28.94(C22⋊C4) = C28.3C42φ: C22⋊C4/C23 → C2 ⊆ Aut C28112C28.94(C2^2:C4)448,112
C28.95(C22⋊C4) = C28.4C42φ: C22⋊C4/C23 → C2 ⊆ Aut C28224C28.95(C2^2:C4)448,115
C28.96(C22⋊C4) = C56.92D4φ: C22⋊C4/C23 → C2 ⊆ Aut C282244C28.96(C2^2:C4)448,118
C28.97(C22⋊C4) = C2×C28.55D4φ: C22⋊C4/C23 → C2 ⊆ Aut C28224C28.97(C2^2:C4)448,740
C28.98(C22⋊C4) = C28.(C2×D4)φ: C22⋊C4/C23 → C2 ⊆ Aut C28224C28.98(C2^2:C4)448,767
C28.99(C22⋊C4) = C2×D4⋊2Dic7φ: C22⋊C4/C23 → C2 ⊆ Aut C28112C28.99(C2^2:C4)448,769
C28.100(C22⋊C4) = (D4×C14)⋊10C4φ: C22⋊C4/C23 → C2 ⊆ Aut C281124C28.100(C2^2:C4)448,774
C28.101(C22⋊C4) = C7×C4.9C42φ: C22⋊C4/C23 → C2 ⊆ Aut C281124C28.101(C2^2:C4)448,141
C28.102(C22⋊C4) = C7×C4.10C42φ: C22⋊C4/C23 → C2 ⊆ Aut C281124C28.102(C2^2:C4)448,142
C28.103(C22⋊C4) = C7×C22.4Q16φ: C22⋊C4/C23 → C2 ⊆ Aut C28448C28.103(C2^2:C4)448,144
C28.104(C22⋊C4) = C7×C4.C42φ: C22⋊C4/C23 → C2 ⊆ Aut C28224C28.104(C2^2:C4)448,145
C28.105(C22⋊C4) = C7×C22.C42φ: C22⋊C4/C23 → C2 ⊆ Aut C28224C28.105(C2^2:C4)448,147
C28.106(C22⋊C4) = C7×M4(2)⋊4C4φ: C22⋊C4/C23 → C2 ⊆ Aut C281124C28.106(C2^2:C4)448,148
C28.107(C22⋊C4) = C7×C24.4C4φ: C22⋊C4/C23 → C2 ⊆ Aut C28112C28.107(C2^2:C4)448,815
C28.108(C22⋊C4) = C7×C23.36D4φ: C22⋊C4/C23 → C2 ⊆ Aut C28224C28.108(C2^2:C4)448,825
C28.109(C22⋊C4) = C7×C22.7C42central extension (φ=1)448C28.109(C2^2:C4)448,140
C28.110(C22⋊C4) = C7×C42⋊6C4central extension (φ=1)112C28.110(C2^2:C4)448,143
C28.111(C22⋊C4) = C7×C22⋊C16central extension (φ=1)224C28.111(C2^2:C4)448,152
C28.112(C22⋊C4) = C7×C23.C8central extension (φ=1)1124C28.112(C2^2:C4)448,153
C28.113(C22⋊C4) = C7×D4.C8central extension (φ=1)2242C28.113(C2^2:C4)448,154
C28.114(C22⋊C4) = C14×C22⋊C8central extension (φ=1)224C28.114(C2^2:C4)448,814
C28.115(C22⋊C4) = C7×M4(2).8C22central extension (φ=1)1124C28.115(C2^2:C4)448,821
C28.116(C22⋊C4) = C7×C23.24D4central extension (φ=1)224C28.116(C2^2:C4)448,824
C28.117(C22⋊C4) = C14×C4≀C2central extension (φ=1)112C28.117(C2^2:C4)448,828

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