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Extensions 1→N→G→Q→1 with N=C28 and Q=C4:C4

Direct product G=NxQ with N=C28 and Q=C4:C4
dρLabelID
C4:C4xC28448C4:C4xC28448,786

Semidirect products G=N:Q with N=C28 and Q=C4:C4
extensionφ:Q→Aut NdρLabelID
C28:1(C4:C4) = C28:(C4:C4)φ: C4:C4/C22 → C22 ⊆ Aut C28448C28:1(C4:C4)448,507
C28:2(C4:C4) = (C4xDic7):8C4φ: C4:C4/C22 → C22 ⊆ Aut C28448C28:2(C4:C4)448,510
C28:3(C4:C4) = C4:(C4:Dic7)φ: C4:C4/C22 → C22 ⊆ Aut C28448C28:3(C4:C4)448,519
C28:4(C4:C4) = C28:4(C4:C4)φ: C4:C4/C2xC4 → C2 ⊆ Aut C28448C28:4(C4:C4)448,462
C28:5(C4:C4) = C42:8Dic7φ: C4:C4/C2xC4 → C2 ⊆ Aut C28448C28:5(C4:C4)448,469
C28:6(C4:C4) = C4xDic7:C4φ: C4:C4/C2xC4 → C2 ⊆ Aut C28448C28:6(C4:C4)448,465
C28:7(C4:C4) = C4xC4:Dic7φ: C4:C4/C2xC4 → C2 ⊆ Aut C28448C28:7(C4:C4)448,468
C28:8(C4:C4) = C7xC42:9C4φ: C4:C4/C2xC4 → C2 ⊆ Aut C28448C28:8(C4:C4)448,792
C28:9(C4:C4) = C7xC23.65C23φ: C4:C4/C2xC4 → C2 ⊆ Aut C28448C28:9(C4:C4)448,797

Non-split extensions G=N.Q with N=C28 and Q=C4:C4
extensionφ:Q→Aut NdρLabelID
C28.1(C4:C4) = C56.Q8φ: C4:C4/C22 → C22 ⊆ Aut C281124C28.1(C4:C4)448,44
C28.2(C4:C4) = C8.4Dic14φ: C4:C4/C22 → C22 ⊆ Aut C28448C28.2(C4:C4)448,46
C28.3(C4:C4) = C8.5Dic14φ: C4:C4/C22 → C22 ⊆ Aut C28448C28.3(C4:C4)448,47
C28.4(C4:C4) = C8.7Dic14φ: C4:C4/C22 → C22 ⊆ Aut C282244C28.4(C4:C4)448,50
C28.5(C4:C4) = C8.Dic14φ: C4:C4/C22 → C22 ⊆ Aut C281124C28.5(C4:C4)448,51
C28.6(C4:C4) = C28.C42φ: C4:C4/C22 → C22 ⊆ Aut C28448C28.6(C4:C4)448,86
C28.7(C4:C4) = C28.(C4:C4)φ: C4:C4/C22 → C22 ⊆ Aut C28224C28.7(C4:C4)448,87
C28.8(C4:C4) = C28.2C42φ: C4:C4/C22 → C22 ⊆ Aut C28112C28.8(C4:C4)448,89
C28.9(C4:C4) = M4(2):Dic7φ: C4:C4/C22 → C22 ⊆ Aut C28224C28.9(C4:C4)448,111
C28.10(C4:C4) = C28.3C42φ: C4:C4/C22 → C22 ⊆ Aut C28112C28.10(C4:C4)448,112
C28.11(C4:C4) = (C2xC56):C4φ: C4:C4/C22 → C22 ⊆ Aut C281124C28.11(C4:C4)448,113
C28.12(C4:C4) = C23.9D28φ: C4:C4/C22 → C22 ⊆ Aut C281124C28.12(C4:C4)448,114
C28.13(C4:C4) = M4(2):4Dic7φ: C4:C4/C22 → C22 ⊆ Aut C281124C28.13(C4:C4)448,116
C28.14(C4:C4) = C2xC28.Q8φ: C4:C4/C22 → C22 ⊆ Aut C28448C28.14(C4:C4)448,496
C28.15(C4:C4) = C2xC4.Dic14φ: C4:C4/C22 → C22 ⊆ Aut C28448C28.15(C4:C4)448,497
C28.16(C4:C4) = C4.Dic7:C4φ: C4:C4/C22 → C22 ⊆ Aut C28224C28.16(C4:C4)448,498
C28.17(C4:C4) = (C4xDic7):9C4φ: C4:C4/C22 → C22 ⊆ Aut C28448C28.17(C4:C4)448,511
C28.18(C4:C4) = C42.43D14φ: C4:C4/C22 → C22 ⊆ Aut C28224C28.18(C4:C4)448,533
C28.19(C4:C4) = Dic7:4M4(2)φ: C4:C4/C22 → C22 ⊆ Aut C28224C28.19(C4:C4)448,652
C28.20(C4:C4) = C28.439(C2xD4)φ: C4:C4/C22 → C22 ⊆ Aut C28224C28.20(C4:C4)448,653
C28.21(C4:C4) = C23.47D28φ: C4:C4/C22 → C22 ⊆ Aut C28224C28.21(C4:C4)448,655
C28.22(C4:C4) = M4(2).Dic7φ: C4:C4/C22 → C22 ⊆ Aut C281124C28.22(C4:C4)448,659
C28.23(C4:C4) = C112:5C4φ: C4:C4/C2xC4 → C2 ⊆ Aut C28448C28.23(C4:C4)448,61
C28.24(C4:C4) = C112:6C4φ: C4:C4/C2xC4 → C2 ⊆ Aut C28448C28.24(C4:C4)448,62
C28.25(C4:C4) = C112.C4φ: C4:C4/C2xC4 → C2 ⊆ Aut C282242C28.25(C4:C4)448,63
C28.26(C4:C4) = C16:Dic7φ: C4:C4/C2xC4 → C2 ⊆ Aut C281124C28.26(C4:C4)448,70
C28.27(C4:C4) = C28.8C42φ: C4:C4/C2xC4 → C2 ⊆ Aut C28112C28.27(C4:C4)448,80
C28.28(C4:C4) = C42:Dic7φ: C4:C4/C2xC4 → C2 ⊆ Aut C281124C28.28(C4:C4)448,88
C28.29(C4:C4) = (C2xC28).Q8φ: C4:C4/C2xC4 → C2 ⊆ Aut C281124C28.29(C4:C4)448,90
C28.30(C4:C4) = C28.9C42φ: C4:C4/C2xC4 → C2 ⊆ Aut C28448C28.30(C4:C4)448,108
C28.31(C4:C4) = C28:7M4(2)φ: C4:C4/C2xC4 → C2 ⊆ Aut C28224C28.31(C4:C4)448,458
C28.32(C4:C4) = C42:9Dic7φ: C4:C4/C2xC4 → C2 ⊆ Aut C28448C28.32(C4:C4)448,470
C28.33(C4:C4) = C28.(C2xQ8)φ: C4:C4/C2xC4 → C2 ⊆ Aut C28224C28.33(C4:C4)448,529
C28.34(C4:C4) = Dic7:C8:C2φ: C4:C4/C2xC4 → C2 ⊆ Aut C28224C28.34(C4:C4)448,636
C28.35(C4:C4) = C2xC8:Dic7φ: C4:C4/C2xC4 → C2 ⊆ Aut C28448C28.35(C4:C4)448,638
C28.36(C4:C4) = C2xC56:1C4φ: C4:C4/C2xC4 → C2 ⊆ Aut C28448C28.36(C4:C4)448,639
C28.37(C4:C4) = C23.Dic14φ: C4:C4/C2xC4 → C2 ⊆ Aut C281124C28.37(C4:C4)448,658
C28.38(C4:C4) = C28:C16φ: C4:C4/C2xC4 → C2 ⊆ Aut C28448C28.38(C4:C4)448,19
C28.39(C4:C4) = C56.16Q8φ: C4:C4/C2xC4 → C2 ⊆ Aut C281122C28.39(C4:C4)448,20
C28.40(C4:C4) = Dic7:C16φ: C4:C4/C2xC4 → C2 ⊆ Aut C28448C28.40(C4:C4)448,58
C28.41(C4:C4) = C56.9Q8φ: C4:C4/C2xC4 → C2 ⊆ Aut C281124C28.41(C4:C4)448,68
C28.42(C4:C4) = (C2xC28):3C8φ: C4:C4/C2xC4 → C2 ⊆ Aut C28448C28.42(C4:C4)448,81
C28.43(C4:C4) = (C2xC56):5C4φ: C4:C4/C2xC4 → C2 ⊆ Aut C28448C28.43(C4:C4)448,107
C28.44(C4:C4) = C2xC28:C8φ: C4:C4/C2xC4 → C2 ⊆ Aut C28448C28.44(C4:C4)448,457
C28.45(C4:C4) = C28.45(C4:C4)φ: C4:C4/C2xC4 → C2 ⊆ Aut C28224C28.45(C4:C4)448,532
C28.46(C4:C4) = C2xDic7:C8φ: C4:C4/C2xC4 → C2 ⊆ Aut C28448C28.46(C4:C4)448,633
C28.47(C4:C4) = C23.22D28φ: C4:C4/C2xC4 → C2 ⊆ Aut C28224C28.47(C4:C4)448,640
C28.48(C4:C4) = C2xC56.C4φ: C4:C4/C2xC4 → C2 ⊆ Aut C28224C28.48(C4:C4)448,641
C28.49(C4:C4) = C2xC28.53D4φ: C4:C4/C2xC4 → C2 ⊆ Aut C28224C28.49(C4:C4)448,657
C28.50(C4:C4) = C7xC4.9C42φ: C4:C4/C2xC4 → C2 ⊆ Aut C281124C28.50(C4:C4)448,141
C28.51(C4:C4) = C7xC42:6C4φ: C4:C4/C2xC4 → C2 ⊆ Aut C28112C28.51(C4:C4)448,143
C28.52(C4:C4) = C7xC22.4Q16φ: C4:C4/C2xC4 → C2 ⊆ Aut C28448C28.52(C4:C4)448,144
C28.53(C4:C4) = C7xC22.C42φ: C4:C4/C2xC4 → C2 ⊆ Aut C28224C28.53(C4:C4)448,147
C28.54(C4:C4) = C7xM4(2):4C4φ: C4:C4/C2xC4 → C2 ⊆ Aut C281124C28.54(C4:C4)448,148
C28.55(C4:C4) = C7xC8.Q8φ: C4:C4/C2xC4 → C2 ⊆ Aut C281124C28.55(C4:C4)448,169
C28.56(C4:C4) = C7xC16:3C4φ: C4:C4/C2xC4 → C2 ⊆ Aut C28448C28.56(C4:C4)448,170
C28.57(C4:C4) = C7xC16:4C4φ: C4:C4/C2xC4 → C2 ⊆ Aut C28448C28.57(C4:C4)448,171
C28.58(C4:C4) = C7xC8.4Q8φ: C4:C4/C2xC4 → C2 ⊆ Aut C282242C28.58(C4:C4)448,172
C28.59(C4:C4) = C7xC42:8C4φ: C4:C4/C2xC4 → C2 ⊆ Aut C28448C28.59(C4:C4)448,790
C28.60(C4:C4) = C7xC4:M4(2)φ: C4:C4/C2xC4 → C2 ⊆ Aut C28224C28.60(C4:C4)448,831
C28.61(C4:C4) = C7xC42.6C22φ: C4:C4/C2xC4 → C2 ⊆ Aut C28224C28.61(C4:C4)448,832
C28.62(C4:C4) = C14xC4.Q8φ: C4:C4/C2xC4 → C2 ⊆ Aut C28448C28.62(C4:C4)448,833
C28.63(C4:C4) = C14xC2.D8φ: C4:C4/C2xC4 → C2 ⊆ Aut C28448C28.63(C4:C4)448,834
C28.64(C4:C4) = C7xM4(2):C4φ: C4:C4/C2xC4 → C2 ⊆ Aut C28224C28.64(C4:C4)448,836
C28.65(C4:C4) = C7xM4(2).C4φ: C4:C4/C2xC4 → C2 ⊆ Aut C281124C28.65(C4:C4)448,838
C28.66(C4:C4) = C7xC22.7C42central extension (φ=1)448C28.66(C4:C4)448,140
C28.67(C4:C4) = C7xC4:C16central extension (φ=1)448C28.67(C4:C4)448,167
C28.68(C4:C4) = C7xC8.C8central extension (φ=1)1122C28.68(C4:C4)448,168
C28.69(C4:C4) = C14xC4:C8central extension (φ=1)448C28.69(C4:C4)448,830
C28.70(C4:C4) = C7xC23.25D4central extension (φ=1)224C28.70(C4:C4)448,835
C28.71(C4:C4) = C14xC8.C4central extension (φ=1)224C28.71(C4:C4)448,837

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