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Extensions 1→N→G→Q→1 with N=C4 and Q=Q8xD7

Direct product G=NxQ with N=C4 and Q=Q8xD7
dρLabelID
C4xQ8xD7224C4xQ8xD7448,1024

Semidirect products G=N:Q with N=C4 and Q=Q8xD7
extensionφ:Q→Aut NdρLabelID
C4:1(Q8xD7) = D28:8Q8φ: Q8xD7/Dic14 → C2 ⊆ Aut C4224C4:1(Q8xD7)448,1180
C4:2(Q8xD7) = D7xC4:Q8φ: Q8xD7/C4xD7 → C2 ⊆ Aut C4224C4:2(Q8xD7)448,1176
C4:3(Q8xD7) = Q8xD28φ: Q8xD7/C7xQ8 → C2 ⊆ Aut C4224C4:3(Q8xD7)448,1028

Non-split extensions G=N.Q with N=C4 and Q=Q8xD7
extensionφ:Q→Aut NdρLabelID
C4.1(Q8xD7) = Dic14:Q8φ: Q8xD7/Dic14 → C2 ⊆ Aut C4448C4.1(Q8xD7)448,388
C4.2(Q8xD7) = Dic14.Q8φ: Q8xD7/Dic14 → C2 ⊆ Aut C4448C4.2(Q8xD7)448,391
C4.3(Q8xD7) = D28:Q8φ: Q8xD7/Dic14 → C2 ⊆ Aut C4224C4.3(Q8xD7)448,404
C4.4(Q8xD7) = D28.Q8φ: Q8xD7/Dic14 → C2 ⊆ Aut C4224C4.4(Q8xD7)448,405
C4.5(Q8xD7) = Dic14:2Q8φ: Q8xD7/Dic14 → C2 ⊆ Aut C4448C4.5(Q8xD7)448,409
C4.6(Q8xD7) = Dic14.2Q8φ: Q8xD7/Dic14 → C2 ⊆ Aut C4448C4.6(Q8xD7)448,411
C4.7(Q8xD7) = D28:2Q8φ: Q8xD7/Dic14 → C2 ⊆ Aut C4224C4.7(Q8xD7)448,424
C4.8(Q8xD7) = D28.2Q8φ: Q8xD7/Dic14 → C2 ⊆ Aut C4224C4.8(Q8xD7)448,425
C4.9(Q8xD7) = Dic14.4Q8φ: Q8xD7/Dic14 → C2 ⊆ Aut C4448C4.9(Q8xD7)448,597
C4.10(Q8xD7) = D28.4Q8φ: Q8xD7/Dic14 → C2 ⊆ Aut C4224C4.10(Q8xD7)448,600
C4.11(Q8xD7) = D28:5Q8φ: Q8xD7/Dic14 → C2 ⊆ Aut C4224C4.11(Q8xD7)448,618
C4.12(Q8xD7) = D28:6Q8φ: Q8xD7/Dic14 → C2 ⊆ Aut C4224C4.12(Q8xD7)448,621
C4.13(Q8xD7) = Dic14:5Q8φ: Q8xD7/Dic14 → C2 ⊆ Aut C4448C4.13(Q8xD7)448,625
C4.14(Q8xD7) = Dic14:6Q8φ: Q8xD7/Dic14 → C2 ⊆ Aut C4448C4.14(Q8xD7)448,628
C4.15(Q8xD7) = Dic14:7Q8φ: Q8xD7/Dic14 → C2 ⊆ Aut C4448C4.15(Q8xD7)448,1138
C4.16(Q8xD7) = D28:7Q8φ: Q8xD7/Dic14 → C2 ⊆ Aut C4224C4.16(Q8xD7)448,1143
C4.17(Q8xD7) = Dic14:8Q8φ: Q8xD7/Dic14 → C2 ⊆ Aut C4448C4.17(Q8xD7)448,1174
C4.18(Q8xD7) = Dic14:9Q8φ: Q8xD7/Dic14 → C2 ⊆ Aut C4448C4.18(Q8xD7)448,1175
C4.19(Q8xD7) = D28:9Q8φ: Q8xD7/Dic14 → C2 ⊆ Aut C4224C4.19(Q8xD7)448,1183
C4.20(Q8xD7) = C56:5Q8φ: Q8xD7/C4xD7 → C2 ⊆ Aut C4448C4.20(Q8xD7)448,389
C4.21(Q8xD7) = C56:3Q8φ: Q8xD7/C4xD7 → C2 ⊆ Aut C4448C4.21(Q8xD7)448,390
C4.22(Q8xD7) = C56.8Q8φ: Q8xD7/C4xD7 → C2 ⊆ Aut C4448C4.22(Q8xD7)448,392
C4.23(Q8xD7) = D7xC4.Q8φ: Q8xD7/C4xD7 → C2 ⊆ Aut C4224C4.23(Q8xD7)448,393
C4.24(Q8xD7) = (C8xD7):C4φ: Q8xD7/C4xD7 → C2 ⊆ Aut C4224C4.24(Q8xD7)448,394
C4.25(Q8xD7) = C8:(C4xD7)φ: Q8xD7/C4xD7 → C2 ⊆ Aut C4224C4.25(Q8xD7)448,395
C4.26(Q8xD7) = C56:2Q8φ: Q8xD7/C4xD7 → C2 ⊆ Aut C4448C4.26(Q8xD7)448,408
C4.27(Q8xD7) = C56:4Q8φ: Q8xD7/C4xD7 → C2 ⊆ Aut C4448C4.27(Q8xD7)448,410
C4.28(Q8xD7) = C56.4Q8φ: Q8xD7/C4xD7 → C2 ⊆ Aut C4448C4.28(Q8xD7)448,412
C4.29(Q8xD7) = D7xC2.D8φ: Q8xD7/C4xD7 → C2 ⊆ Aut C4224C4.29(Q8xD7)448,413
C4.30(Q8xD7) = C8.27(C4xD7)φ: Q8xD7/C4xD7 → C2 ⊆ Aut C4224C4.30(Q8xD7)448,414
C4.31(Q8xD7) = C56:(C2xC4)φ: Q8xD7/C4xD7 → C2 ⊆ Aut C4224C4.31(Q8xD7)448,415
C4.32(Q8xD7) = C42.215D14φ: Q8xD7/C4xD7 → C2 ⊆ Aut C4448C4.32(Q8xD7)448,598
C4.33(Q8xD7) = C42.68D14φ: Q8xD7/C4xD7 → C2 ⊆ Aut C4448C4.33(Q8xD7)448,599
C4.34(Q8xD7) = C28.17D8φ: Q8xD7/C4xD7 → C2 ⊆ Aut C4448C4.34(Q8xD7)448,612
C4.35(Q8xD7) = C28.SD16φ: Q8xD7/C4xD7 → C2 ⊆ Aut C4448C4.35(Q8xD7)448,613
C4.36(Q8xD7) = C42.76D14φ: Q8xD7/C4xD7 → C2 ⊆ Aut C4448C4.36(Q8xD7)448,614
C4.37(Q8xD7) = D7xC42.C2φ: Q8xD7/C4xD7 → C2 ⊆ Aut C4224C4.37(Q8xD7)448,1140
C4.38(Q8xD7) = C42.236D14φ: Q8xD7/C4xD7 → C2 ⊆ Aut C4224C4.38(Q8xD7)448,1141
C4.39(Q8xD7) = C42.148D14φ: Q8xD7/C4xD7 → C2 ⊆ Aut C4224C4.39(Q8xD7)448,1142
C4.40(Q8xD7) = C42.241D14φ: Q8xD7/C4xD7 → C2 ⊆ Aut C4224C4.40(Q8xD7)448,1181
C4.41(Q8xD7) = C42.174D14φ: Q8xD7/C4xD7 → C2 ⊆ Aut C4224C4.41(Q8xD7)448,1182
C4.42(Q8xD7) = Dic14.3Q8φ: Q8xD7/C7xQ8 → C2 ⊆ Aut C4448C4.42(Q8xD7)448,363
C4.43(Q8xD7) = D28:3Q8φ: Q8xD7/C7xQ8 → C2 ⊆ Aut C4224C4.43(Q8xD7)448,376
C4.44(Q8xD7) = D28:4Q8φ: Q8xD7/C7xQ8 → C2 ⊆ Aut C4224C4.44(Q8xD7)448,380
C4.45(Q8xD7) = D28.3Q8φ: Q8xD7/C7xQ8 → C2 ⊆ Aut C4224C4.45(Q8xD7)448,381
C4.46(Q8xD7) = C28.7Q16φ: Q8xD7/C7xQ8 → C2 ⊆ Aut C4448C4.46(Q8xD7)448,384
C4.47(Q8xD7) = Dic14:4Q8φ: Q8xD7/C7xQ8 → C2 ⊆ Aut C4448C4.47(Q8xD7)448,385
C4.48(Q8xD7) = Q8xDic14φ: Q8xD7/C7xQ8 → C2 ⊆ Aut C4448C4.48(Q8xD7)448,1019
C4.49(Q8xD7) = Dic14:10Q8φ: Q8xD7/C7xQ8 → C2 ⊆ Aut C4448C4.49(Q8xD7)448,1020
C4.50(Q8xD7) = D28:10Q8φ: Q8xD7/C7xQ8 → C2 ⊆ Aut C4224C4.50(Q8xD7)448,1032
C4.51(Q8xD7) = C42.27D14central extension (φ=1)448C4.51(Q8xD7)448,362
C4.52(Q8xD7) = Dic14:C8central extension (φ=1)448C4.52(Q8xD7)448,364
C4.53(Q8xD7) = C28.M4(2)central extension (φ=1)448C4.53(Q8xD7)448,365
C4.54(Q8xD7) = D7xC4:C8central extension (φ=1)224C4.54(Q8xD7)448,366
C4.55(Q8xD7) = C28:M4(2)central extension (φ=1)224C4.55(Q8xD7)448,371
C4.56(Q8xD7) = C42.30D14central extension (φ=1)224C4.56(Q8xD7)448,373
C4.57(Q8xD7) = Q8xC7:C8central extension (φ=1)448C4.57(Q8xD7)448,557
C4.58(Q8xD7) = C42.210D14central extension (φ=1)448C4.58(Q8xD7)448,558
C4.59(Q8xD7) = C42.232D14central extension (φ=1)224C4.59(Q8xD7)448,1031

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