Extensions 1→N→G→Q→1 with N=D14 and Q=C4○D4

Direct product G=N×Q with N=D14 and Q=C4○D4
dρLabelID
C2×D7×C4○D4112C2xD7xC4oD4448,1375

Semidirect products G=N:Q with N=D14 and Q=C4○D4
extensionφ:Q→Out NdρLabelID
D141(C4○D4) = C428D14φ: C4○D4/C2×C4C2 ⊆ Out D14112D14:1(C4oD4)448,977
D142(C4○D4) = C4212D14φ: C4○D4/C2×C4C2 ⊆ Out D14112D14:2(C4oD4)448,1000
D143(C4○D4) = C4⋊C421D14φ: C4○D4/C2×C4C2 ⊆ Out D14112D14:3(C4oD4)448,1059
D144(C4○D4) = C4⋊C426D14φ: C4○D4/C2×C4C2 ⊆ Out D14112D14:4(C4oD4)448,1080
D145(C4○D4) = C4⋊C428D14φ: C4○D4/C2×C4C2 ⊆ Out D14112D14:5(C4oD4)448,1109
D146(C4○D4) = (C2×C28)⋊15D4φ: C4○D4/C2×C4C2 ⊆ Out D14112D14:6(C4oD4)448,1281
D147(C4○D4) = D45D28φ: C4○D4/D4C2 ⊆ Out D14112D14:7(C4oD4)448,1007
D148(C4○D4) = C14.402+ 1+4φ: C4○D4/D4C2 ⊆ Out D14112D14:8(C4oD4)448,1063
D149(C4○D4) = D2820D4φ: C4○D4/D4C2 ⊆ Out D14112D14:9(C4oD4)448,1065
D1410(C4○D4) = C14.1212+ 1+4φ: C4○D4/D4C2 ⊆ Out D14112D14:10(C4oD4)448,1107
D1411(C4○D4) = D2810D4φ: C4○D4/D4C2 ⊆ Out D14112D14:11(C4oD4)448,1129
D1412(C4○D4) = C14.1452+ 1+4φ: C4○D4/D4C2 ⊆ Out D14112D14:12(C4oD4)448,1282
D1413(C4○D4) = Q85D28φ: C4○D4/Q8C2 ⊆ Out D14224D14:13(C4oD4)448,1029
D1414(C4○D4) = Dic1422D4φ: C4○D4/Q8C2 ⊆ Out D14224D14:14(C4oD4)448,1086
D1415(C4○D4) = Dic1410D4φ: C4○D4/Q8C2 ⊆ Out D14224D14:15(C4oD4)448,1130
D1416(C4○D4) = C14.1072- 1+4φ: C4○D4/Q8C2 ⊆ Out D14224D14:16(C4oD4)448,1284

Non-split extensions G=N.Q with N=D14 and Q=C4○D4
extensionφ:Q→Out NdρLabelID
D14.1(C4○D4) = C42.93D14φ: C4○D4/C2×C4C2 ⊆ Out D14224D14.1(C4oD4)448,981
D14.2(C4○D4) = C42.229D14φ: C4○D4/C2×C4C2 ⊆ Out D14224D14.2(C4oD4)448,1010
D14.3(C4○D4) = C42.131D14φ: C4○D4/C2×C4C2 ⊆ Out D14224D14.3(C4oD4)448,1033
D14.4(C4○D4) = C14.422+ 1+4φ: C4○D4/C2×C4C2 ⊆ Out D14112D14.4(C4oD4)448,1066
D14.5(C4○D4) = C14.202- 1+4φ: C4○D4/C2×C4C2 ⊆ Out D14224D14.5(C4oD4)448,1091
D14.6(C4○D4) = C14.612+ 1+4φ: C4○D4/C2×C4C2 ⊆ Out D14112D14.6(C4oD4)448,1110
D14.7(C4○D4) = C14.832- 1+4φ: C4○D4/C2×C4C2 ⊆ Out D14224D14.7(C4oD4)448,1113
D14.8(C4○D4) = C4220D14φ: C4○D4/C2×C4C2 ⊆ Out D14112D14.8(C4oD4)448,1131
D14.9(C4○D4) = C42.234D14φ: C4○D4/C2×C4C2 ⊆ Out D14224D14.9(C4oD4)448,1133
D14.10(C4○D4) = C42.237D14φ: C4○D4/C2×C4C2 ⊆ Out D14224D14.10(C4oD4)448,1144
D14.11(C4○D4) = C42.150D14φ: C4○D4/C2×C4C2 ⊆ Out D14224D14.11(C4oD4)448,1145
D14.12(C4○D4) = C4223D14φ: C4○D4/C2×C4C2 ⊆ Out D14112D14.12(C4oD4)448,1157
D14.13(C4○D4) = C42.189D14φ: C4○D4/C2×C4C2 ⊆ Out D14224D14.13(C4oD4)448,1159
D14.14(C4○D4) = C42.161D14φ: C4○D4/C2×C4C2 ⊆ Out D14224D14.14(C4oD4)448,1160
D14.15(C4○D4) = C4210D14φ: C4○D4/D4C2 ⊆ Out D14112D14.15(C4oD4)448,980
D14.16(C4○D4) = C42.94D14φ: C4○D4/D4C2 ⊆ Out D14224D14.16(C4oD4)448,982
D14.17(C4○D4) = C4216D14φ: C4○D4/D4C2 ⊆ Out D14112D14.17(C4oD4)448,1009
D14.18(C4○D4) = C42.132D14φ: C4○D4/D4C2 ⊆ Out D14224D14.18(C4oD4)448,1034
D14.19(C4○D4) = C14.532+ 1+4φ: C4○D4/D4C2 ⊆ Out D14112D14.19(C4oD4)448,1090
D14.20(C4○D4) = C14.212- 1+4φ: C4○D4/D4C2 ⊆ Out D14224D14.20(C4oD4)448,1092
D14.21(C4○D4) = C14.1222+ 1+4φ: C4○D4/D4C2 ⊆ Out D14112D14.21(C4oD4)448,1111
D14.22(C4○D4) = C14.622+ 1+4φ: C4○D4/D4C2 ⊆ Out D14112D14.22(C4oD4)448,1112
D14.23(C4○D4) = C4221D14φ: C4○D4/D4C2 ⊆ Out D14112D14.23(C4oD4)448,1132
D14.24(C4○D4) = C42.151D14φ: C4○D4/D4C2 ⊆ Out D14224D14.24(C4oD4)448,1146
D14.25(C4○D4) = C42.152D14φ: C4○D4/D4C2 ⊆ Out D14224D14.25(C4oD4)448,1147
D14.26(C4○D4) = C4224D14φ: C4○D4/D4C2 ⊆ Out D14112D14.26(C4oD4)448,1158
D14.27(C4○D4) = C42.162D14φ: C4○D4/D4C2 ⊆ Out D14224D14.27(C4oD4)448,1161
D14.28(C4○D4) = C42.95D14φ: C4○D4/Q8C2 ⊆ Out D14224D14.28(C4oD4)448,983
D14.29(C4○D4) = C42.113D14φ: C4○D4/Q8C2 ⊆ Out D14224D14.29(C4oD4)448,1011
D14.30(C4○D4) = C14.432+ 1+4φ: C4○D4/Q8C2 ⊆ Out D14224D14.30(C4oD4)448,1067
D14.31(C4○D4) = C14.642+ 1+4φ: C4○D4/Q8C2 ⊆ Out D14224D14.31(C4oD4)448,1114
D14.32(C4○D4) = C42.153D14φ: C4○D4/Q8C2 ⊆ Out D14224D14.32(C4oD4)448,1148
D14.33(C4○D4) = C42.163D14φ: C4○D4/Q8C2 ⊆ Out D14224D14.33(C4oD4)448,1162
D14.34(C4○D4) = D7×C42⋊C2φ: trivial image112D14.34(C4oD4)448,973
D14.35(C4○D4) = C4×D4×D7φ: trivial image112D14.35(C4oD4)448,997
D14.36(C4○D4) = C4×Q8×D7φ: trivial image224D14.36(C4oD4)448,1024
D14.37(C4○D4) = D7×C4⋊D4φ: trivial image112D14.37(C4oD4)448,1057
D14.38(C4○D4) = D7×C22⋊Q8φ: trivial image112D14.38(C4oD4)448,1079
D14.39(C4○D4) = D7×C22.D4φ: trivial image112D14.39(C4oD4)448,1105
D14.40(C4○D4) = D7×C4.4D4φ: trivial image112D14.40(C4oD4)448,1126
D14.41(C4○D4) = D7×C42.C2φ: trivial image224D14.41(C4oD4)448,1140
D14.42(C4○D4) = D7×C422C2φ: trivial image112D14.42(C4oD4)448,1156

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