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Extensions 1→N→G→Q→1 with N=C22 and Q=Q8:2D7

Direct product G=NxQ with N=C22 and Q=Q8:2D7
dρLabelID
C22xQ8:2D7224C2^2xQ8:2D7448,1373

Semidirect products G=N:Q with N=C22 and Q=Q8:2D7
extensionφ:Q→Aut NdρLabelID
C22:1(Q8:2D7) = C4:C4:26D14φ: Q8:2D7/C4xD7 → C2 ⊆ Aut C22112C2^2:1(Q8:2D7)448,1080
C22:2(Q8:2D7) = D28:21D4φ: Q8:2D7/D28 → C2 ⊆ Aut C22112C2^2:2(Q8:2D7)448,1083
C22:3(Q8:2D7) = C14.452- 1+4φ: Q8:2D7/C7xQ8 → C2 ⊆ Aut C22224C2^2:3(Q8:2D7)448,1270

Non-split extensions G=N.Q with N=C22 and Q=Q8:2D7
extensionφ:Q→Aut NdρLabelID
C22.1(Q8:2D7) = D56:10C4φ: Q8:2D7/C4xD7 → C2 ⊆ Aut C221124C2^2.1(Q8:2D7)448,428
C22.2(Q8:2D7) = D56:7C4φ: Q8:2D7/C4xD7 → C2 ⊆ Aut C221124C2^2.2(Q8:2D7)448,429
C22.3(Q8:2D7) = C22:Q8:25D7φ: Q8:2D7/C4xD7 → C2 ⊆ Aut C22224C2^2.3(Q8:2D7)448,1077
C22.4(Q8:2D7) = C14.562+ 1+4φ: Q8:2D7/C4xD7 → C2 ⊆ Aut C22112C2^2.4(Q8:2D7)448,1097
C22.5(Q8:2D7) = C14.572+ 1+4φ: Q8:2D7/C4xD7 → C2 ⊆ Aut C22224C2^2.5(Q8:2D7)448,1098
C22.6(Q8:2D7) = C8.20D28φ: Q8:2D7/D28 → C2 ⊆ Aut C222244-C2^2.6(Q8:2D7)448,430
C22.7(Q8:2D7) = C8.21D28φ: Q8:2D7/D28 → C2 ⊆ Aut C221124+C2^2.7(Q8:2D7)448,431
C22.8(Q8:2D7) = C8.24D28φ: Q8:2D7/D28 → C2 ⊆ Aut C221124C2^2.8(Q8:2D7)448,432
C22.9(Q8:2D7) = C14.532+ 1+4φ: Q8:2D7/D28 → C2 ⊆ Aut C22112C2^2.9(Q8:2D7)448,1090
C22.10(Q8:2D7) = C14.772- 1+4φ: Q8:2D7/D28 → C2 ⊆ Aut C22224C2^2.10(Q8:2D7)448,1095
C22.11(Q8:2D7) = C14.112+ 1+4φ: Q8:2D7/C7xQ8 → C2 ⊆ Aut C22224C2^2.11(Q8:2D7)448,967
C22.12(Q8:2D7) = Dic7.5C42central extension (φ=1)448C2^2.12(Q8:2D7)448,182
C22.13(Q8:2D7) = C7:(C42:5C4)central extension (φ=1)448C2^2.13(Q8:2D7)448,185
C22.14(Q8:2D7) = C4:Dic7:8C4central extension (φ=1)448C2^2.14(Q8:2D7)448,188
C22.15(Q8:2D7) = C14.(C4xD4)central extension (φ=1)448C2^2.15(Q8:2D7)448,189
C22.16(Q8:2D7) = C22.58(D4xD7)central extension (φ=1)224C2^2.16(Q8:2D7)448,198
C22.17(Q8:2D7) = (C2xC4):9D28central extension (φ=1)224C2^2.17(Q8:2D7)448,199
C22.18(Q8:2D7) = D14:C42central extension (φ=1)224C2^2.18(Q8:2D7)448,200
C22.19(Q8:2D7) = D14:C4:5C4central extension (φ=1)224C2^2.19(Q8:2D7)448,203
C22.20(Q8:2D7) = C2.(C4xD28)central extension (φ=1)224C2^2.20(Q8:2D7)448,204
C22.21(Q8:2D7) = C28:(C4:C4)central extension (φ=1)448C2^2.21(Q8:2D7)448,507
C22.22(Q8:2D7) = C4:C4xDic7central extension (φ=1)448C2^2.22(Q8:2D7)448,509
C22.23(Q8:2D7) = (C4xDic7):9C4central extension (φ=1)448C2^2.23(Q8:2D7)448,511
C22.24(Q8:2D7) = C22.23(Q8xD7)central extension (φ=1)448C2^2.24(Q8:2D7)448,512
C22.25(Q8:2D7) = C4:C4:5Dic7central extension (φ=1)448C2^2.25(Q8:2D7)448,515
C22.26(Q8:2D7) = C4:(C4:Dic7)central extension (φ=1)448C2^2.26(Q8:2D7)448,519
C22.27(Q8:2D7) = C4:(D14:C4)central extension (φ=1)224C2^2.27(Q8:2D7)448,521
C22.28(Q8:2D7) = (C2xD28):10C4central extension (φ=1)224C2^2.28(Q8:2D7)448,522
C22.29(Q8:2D7) = D14:C4:6C4central extension (φ=1)224C2^2.29(Q8:2D7)448,523
C22.30(Q8:2D7) = D14:C4:7C4central extension (φ=1)224C2^2.30(Q8:2D7)448,524
C22.31(Q8:2D7) = (Q8xC14):7C4central extension (φ=1)448C2^2.31(Q8:2D7)448,764
C22.32(Q8:2D7) = C2xC28.3Q8central extension (φ=1)448C2^2.32(Q8:2D7)448,952
C22.33(Q8:2D7) = C2xC4:C4:7D7central extension (φ=1)224C2^2.33(Q8:2D7)448,955
C22.34(Q8:2D7) = C2xD28:C4central extension (φ=1)224C2^2.34(Q8:2D7)448,956
C22.35(Q8:2D7) = C2xD14.5D4central extension (φ=1)224C2^2.35(Q8:2D7)448,958
C22.36(Q8:2D7) = C2xC4:D28central extension (φ=1)224C2^2.36(Q8:2D7)448,959
C22.37(Q8:2D7) = C2xC4:C4:D7central extension (φ=1)224C2^2.37(Q8:2D7)448,965
C22.38(Q8:2D7) = C2xQ8xDic7central extension (φ=1)448C2^2.38(Q8:2D7)448,1264
C22.39(Q8:2D7) = C2xD14:3Q8central extension (φ=1)224C2^2.39(Q8:2D7)448,1266
C22.40(Q8:2D7) = C2xC28.23D4central extension (φ=1)224C2^2.40(Q8:2D7)448,1267
C22.41(Q8:2D7) = (C2xC4).Dic14central stem extension (φ=1)448C2^2.41(Q8:2D7)448,194
C22.42(Q8:2D7) = C14.(C4:Q8)central stem extension (φ=1)448C2^2.42(Q8:2D7)448,195
C22.43(Q8:2D7) = (C22xC4).D14central stem extension (φ=1)448C2^2.43(Q8:2D7)448,196
C22.44(Q8:2D7) = (C2xC28):5D4central stem extension (φ=1)224C2^2.44(Q8:2D7)448,205
C22.45(Q8:2D7) = (C2xDic7):3D4central stem extension (φ=1)224C2^2.45(Q8:2D7)448,206
C22.46(Q8:2D7) = (C2xC4).21D28central stem extension (φ=1)224C2^2.46(Q8:2D7)448,208
C22.47(Q8:2D7) = (C22xD7).9D4central stem extension (φ=1)224C2^2.47(Q8:2D7)448,209
C22.48(Q8:2D7) = (C2xC28).288D4central stem extension (φ=1)448C2^2.48(Q8:2D7)448,516
C22.49(Q8:2D7) = (C2xC28).54D4central stem extension (φ=1)448C2^2.49(Q8:2D7)448,518
C22.50(Q8:2D7) = (C2xC28).55D4central stem extension (φ=1)448C2^2.50(Q8:2D7)448,520
C22.51(Q8:2D7) = (C2xC4):3D28central stem extension (φ=1)224C2^2.51(Q8:2D7)448,525
C22.52(Q8:2D7) = (C2xC28).289D4central stem extension (φ=1)224C2^2.52(Q8:2D7)448,526
C22.53(Q8:2D7) = (C2xC28).290D4central stem extension (φ=1)224C2^2.53(Q8:2D7)448,527
C22.54(Q8:2D7) = (C2xC4).45D28central stem extension (φ=1)224C2^2.54(Q8:2D7)448,528
C22.55(Q8:2D7) = C14.C22wrC2central stem extension (φ=1)448C2^2.55(Q8:2D7)448,763
C22.56(Q8:2D7) = (C22xQ8):D7central stem extension (φ=1)224C2^2.56(Q8:2D7)448,765

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