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Extensions 1→N→G→Q→1 with N=C4 and Q=Q8:2D7

Direct product G=NxQ with N=C4 and Q=Q8:2D7
dρLabelID
C4xQ8:2D7224C4xQ8:2D7448,1026

Semidirect products G=N:Q with N=C4 and Q=Q8:2D7
extensionφ:Q→Aut NdρLabelID
C4:1(Q8:2D7) = C42.240D14φ: Q8:2D7/C4xD7 → C2 ⊆ Aut C4224C4:1(Q8:2D7)448,1178
C4:2(Q8:2D7) = D28:12D4φ: Q8:2D7/D28 → C2 ⊆ Aut C4224C4:2(Q8:2D7)448,1179
C4:3(Q8:2D7) = Q8:6D28φ: Q8:2D7/C7xQ8 → C2 ⊆ Aut C4224C4:3(Q8:2D7)448,1030

Non-split extensions G=N.Q with N=C4 and Q=Q8:2D7
extensionφ:Q→Aut NdρLabelID
C4.1(Q8:2D7) = Dic7:8SD16φ: Q8:2D7/C4xD7 → C2 ⊆ Aut C4224C4.1(Q8:2D7)448,386
C4.2(Q8:2D7) = Dic28:9C4φ: Q8:2D7/C4xD7 → C2 ⊆ Aut C4448C4.2(Q8:2D7)448,387
C4.3(Q8:2D7) = C8:8D28φ: Q8:2D7/C4xD7 → C2 ⊆ Aut C4224C4.3(Q8:2D7)448,398
C4.4(Q8:2D7) = C56:7D4φ: Q8:2D7/C4xD7 → C2 ⊆ Aut C4224C4.4(Q8:2D7)448,399
C4.5(Q8:2D7) = C8.2D28φ: Q8:2D7/C4xD7 → C2 ⊆ Aut C4224C4.5(Q8:2D7)448,402
C4.6(Q8:2D7) = D56:9C4φ: Q8:2D7/C4xD7 → C2 ⊆ Aut C4224C4.6(Q8:2D7)448,403
C4.7(Q8:2D7) = Dic7:5D8φ: Q8:2D7/C4xD7 → C2 ⊆ Aut C4224C4.7(Q8:2D7)448,406
C4.8(Q8:2D7) = Dic28:6C4φ: Q8:2D7/C4xD7 → C2 ⊆ Aut C4448C4.8(Q8:2D7)448,407
C4.9(Q8:2D7) = C8:7D28φ: Q8:2D7/C4xD7 → C2 ⊆ Aut C4224C4.9(Q8:2D7)448,417
C4.10(Q8:2D7) = C8:3D28φ: Q8:2D7/C4xD7 → C2 ⊆ Aut C4224C4.10(Q8:2D7)448,420
C4.11(Q8:2D7) = D14:2Q16φ: Q8:2D7/C4xD7 → C2 ⊆ Aut C4224C4.11(Q8:2D7)448,421
C4.12(Q8:2D7) = C56:C2:C4φ: Q8:2D7/C4xD7 → C2 ⊆ Aut C4224C4.12(Q8:2D7)448,423
C4.13(Q8:2D7) = C42.70D14φ: Q8:2D7/C4xD7 → C2 ⊆ Aut C4224C4.13(Q8:2D7)448,601
C4.14(Q8:2D7) = C42.216D14φ: Q8:2D7/C4xD7 → C2 ⊆ Aut C4224C4.14(Q8:2D7)448,602
C4.15(Q8:2D7) = C42.71D14φ: Q8:2D7/C4xD7 → C2 ⊆ Aut C4448C4.15(Q8:2D7)448,603
C4.16(Q8:2D7) = C28.D8φ: Q8:2D7/C4xD7 → C2 ⊆ Aut C4224C4.16(Q8:2D7)448,622
C4.17(Q8:2D7) = C42.82D14φ: Q8:2D7/C4xD7 → C2 ⊆ Aut C4224C4.17(Q8:2D7)448,623
C4.18(Q8:2D7) = C28.11Q16φ: Q8:2D7/C4xD7 → C2 ⊆ Aut C4448C4.18(Q8:2D7)448,627
C4.19(Q8:2D7) = C42.237D14φ: Q8:2D7/C4xD7 → C2 ⊆ Aut C4224C4.19(Q8:2D7)448,1144
C4.20(Q8:2D7) = C42.155D14φ: Q8:2D7/C4xD7 → C2 ⊆ Aut C4224C4.20(Q8:2D7)448,1150
C4.21(Q8:2D7) = C42.156D14φ: Q8:2D7/C4xD7 → C2 ⊆ Aut C4224C4.21(Q8:2D7)448,1151
C4.22(Q8:2D7) = C42.241D14φ: Q8:2D7/C4xD7 → C2 ⊆ Aut C4224C4.22(Q8:2D7)448,1181
C4.23(Q8:2D7) = C42.178D14φ: Q8:2D7/C4xD7 → C2 ⊆ Aut C4224C4.23(Q8:2D7)448,1186
C4.24(Q8:2D7) = D14.2SD16φ: Q8:2D7/D28 → C2 ⊆ Aut C4224C4.24(Q8:2D7)448,396
C4.25(Q8:2D7) = D14.4SD16φ: Q8:2D7/D28 → C2 ⊆ Aut C4224C4.25(Q8:2D7)448,397
C4.26(Q8:2D7) = C4.Q8:D7φ: Q8:2D7/D28 → C2 ⊆ Aut C4224C4.26(Q8:2D7)448,400
C4.27(Q8:2D7) = C28.(C4oD4)φ: Q8:2D7/D28 → C2 ⊆ Aut C4224C4.27(Q8:2D7)448,401
C4.28(Q8:2D7) = D14.5D8φ: Q8:2D7/D28 → C2 ⊆ Aut C4224C4.28(Q8:2D7)448,416
C4.29(Q8:2D7) = D14.2Q16φ: Q8:2D7/D28 → C2 ⊆ Aut C4224C4.29(Q8:2D7)448,418
C4.30(Q8:2D7) = C2.D8:D7φ: Q8:2D7/D28 → C2 ⊆ Aut C4224C4.30(Q8:2D7)448,419
C4.31(Q8:2D7) = C2.D8:7D7φ: Q8:2D7/D28 → C2 ⊆ Aut C4224C4.31(Q8:2D7)448,422
C4.32(Q8:2D7) = Dic14.4Q8φ: Q8:2D7/D28 → C2 ⊆ Aut C4448C4.32(Q8:2D7)448,597
C4.33(Q8:2D7) = D28.4Q8φ: Q8:2D7/D28 → C2 ⊆ Aut C4224C4.33(Q8:2D7)448,600
C4.34(Q8:2D7) = D28:5Q8φ: Q8:2D7/D28 → C2 ⊆ Aut C4224C4.34(Q8:2D7)448,618
C4.35(Q8:2D7) = D28:6Q8φ: Q8:2D7/D28 → C2 ⊆ Aut C4224C4.35(Q8:2D7)448,621
C4.36(Q8:2D7) = Dic14:5Q8φ: Q8:2D7/D28 → C2 ⊆ Aut C4448C4.36(Q8:2D7)448,625
C4.37(Q8:2D7) = Dic14:6Q8φ: Q8:2D7/D28 → C2 ⊆ Aut C4448C4.37(Q8:2D7)448,628
C4.38(Q8:2D7) = C42.152D14φ: Q8:2D7/D28 → C2 ⊆ Aut C4224C4.38(Q8:2D7)448,1147
C4.39(Q8:2D7) = C42.153D14φ: Q8:2D7/D28 → C2 ⊆ Aut C4224C4.39(Q8:2D7)448,1148
C4.40(Q8:2D7) = D28:9Q8φ: Q8:2D7/D28 → C2 ⊆ Aut C4224C4.40(Q8:2D7)448,1183
C4.41(Q8:2D7) = C42.177D14φ: Q8:2D7/D28 → C2 ⊆ Aut C4224C4.41(Q8:2D7)448,1185
C4.42(Q8:2D7) = C42.179D14φ: Q8:2D7/D28 → C2 ⊆ Aut C4224C4.42(Q8:2D7)448,1187
C4.43(Q8:2D7) = C28:SD16φ: Q8:2D7/C7xQ8 → C2 ⊆ Aut C4224C4.43(Q8:2D7)448,375
C4.44(Q8:2D7) = C4:D56φ: Q8:2D7/C7xQ8 → C2 ⊆ Aut C4224C4.44(Q8:2D7)448,377
C4.45(Q8:2D7) = D28.19D4φ: Q8:2D7/C7xQ8 → C2 ⊆ Aut C4224C4.45(Q8:2D7)448,378
C4.46(Q8:2D7) = C42.36D14φ: Q8:2D7/C7xQ8 → C2 ⊆ Aut C4224C4.46(Q8:2D7)448,379
C4.47(Q8:2D7) = Dic14:8D4φ: Q8:2D7/C7xQ8 → C2 ⊆ Aut C4224C4.47(Q8:2D7)448,382
C4.48(Q8:2D7) = C4:Dic28φ: Q8:2D7/C7xQ8 → C2 ⊆ Aut C4448C4.48(Q8:2D7)448,383
C4.49(Q8:2D7) = Q8:6Dic14φ: Q8:2D7/C7xQ8 → C2 ⊆ Aut C4448C4.49(Q8:2D7)448,1023
C4.50(Q8:2D7) = C42.135D14φ: Q8:2D7/C7xQ8 → C2 ⊆ Aut C4224C4.50(Q8:2D7)448,1037
C4.51(Q8:2D7) = C42.136D14φ: Q8:2D7/C7xQ8 → C2 ⊆ Aut C4224C4.51(Q8:2D7)448,1038
C4.52(Q8:2D7) = C42.200D14central extension (φ=1)224C4.52(Q8:2D7)448,367
C4.53(Q8:2D7) = D28:C8central extension (φ=1)224C4.53(Q8:2D7)448,368
C4.54(Q8:2D7) = C42.202D14central extension (φ=1)224C4.54(Q8:2D7)448,369
C4.55(Q8:2D7) = D14:3M4(2)central extension (φ=1)224C4.55(Q8:2D7)448,370
C4.56(Q8:2D7) = C28:2M4(2)central extension (φ=1)224C4.56(Q8:2D7)448,372
C4.57(Q8:2D7) = C42.31D14central extension (φ=1)224C4.57(Q8:2D7)448,374
C4.58(Q8:2D7) = Q8xC7:C8central extension (φ=1)448C4.58(Q8:2D7)448,557
C4.59(Q8:2D7) = C42.210D14central extension (φ=1)448C4.59(Q8:2D7)448,558
C4.60(Q8:2D7) = C42.131D14central extension (φ=1)224C4.60(Q8:2D7)448,1033

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