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Extensions 1→N→G→Q→1 with N=D14 and Q=C2×D4

Direct product G=N×Q with N=D14 and Q=C2×D4
dρLabelID
C22×D4×D7112C2^2xD4xD7448,1369

Semidirect products G=N:Q with N=D14 and Q=C2×D4
extensionφ:Q→Out NdρLabelID
D14⋊1(C2×D4) = C2×D14⋊D4φ: C2×D4/C2×C4 → C2 ⊆ Out D14224D14:1(C2xD4)448,942
D14⋊2(C2×D4) = C2×C4⋊D28φ: C2×D4/C2×C4 → C2 ⊆ Out D14224D14:2(C2xD4)448,959
D14⋊3(C2×D4) = D7×C4⋊D4φ: C2×D4/C2×C4 → C2 ⊆ Out D14112D14:3(C2xD4)448,1057
D14⋊4(C2×D4) = C2×C28⋊2D4φ: C2×D4/C2×C4 → C2 ⊆ Out D14224D14:4(C2xD4)448,1253
D14⋊5(C2×D4) = D4×D28φ: C2×D4/D4 → C2 ⊆ Out D14112D14:5(C2xD4)448,1002
D14⋊6(C2×D4) = C24⋊3D14φ: C2×D4/D4 → C2 ⊆ Out D14112D14:6(C2xD4)448,1043
D14⋊7(C2×D4) = D28⋊19D4φ: C2×D4/D4 → C2 ⊆ Out D14112D14:7(C2xD4)448,1062
D14⋊8(C2×D4) = D28⋊11D4φ: C2×D4/D4 → C2 ⊆ Out D14112D14:8(C2xD4)448,1170
D14⋊9(C2×D4) = D4×C7⋊D4φ: C2×D4/D4 → C2 ⊆ Out D14112D14:9(C2xD4)448,1254
D14⋊10(C2×D4) = C2×C22⋊D28φ: C2×D4/C23 → C2 ⊆ Out D14112D14:10(C2xD4)448,940
D14⋊11(C2×D4) = D7×C22≀C2φ: C2×D4/C23 → C2 ⊆ Out D1456D14:11(C2xD4)448,1041
D14⋊12(C2×D4) = C2×C23⋊D14φ: C2×D4/C23 → C2 ⊆ Out D14112D14:12(C2xD4)448,1252

Non-split extensions G=N.Q with N=D14 and Q=C2×D4
extensionφ:Q→Out NdρLabelID
D14.1(C2×D4) = C42.228D14φ: C2×D4/C2×C4 → C2 ⊆ Out D14224D14.1(C2xD4)448,1001
D14.2(C2×D4) = C24⋊2D14φ: C2×D4/C2×C4 → C2 ⊆ Out D14112D14.2(C2xD4)448,1042
D14.3(C2×D4) = C14.722- 1+4φ: C2×D4/C2×C4 → C2 ⊆ Out D14224D14.3(C2xD4)448,1061
D14.4(C2×D4) = C14.172- 1+4φ: C2×D4/C2×C4 → C2 ⊆ Out D14224D14.4(C2xD4)448,1082
D14.5(C2×D4) = C14.1202+ 1+4φ: C2×D4/C2×C4 → C2 ⊆ Out D14112D14.5(C2xD4)448,1106
D14.6(C2×D4) = C42.233D14φ: C2×D4/C2×C4 → C2 ⊆ Out D14224D14.6(C2xD4)448,1121
D14.7(C2×D4) = C42.238D14φ: C2×D4/C2×C4 → C2 ⊆ Out D14224D14.7(C2xD4)448,1169
D14.8(C2×D4) = C42.240D14φ: C2×D4/C2×C4 → C2 ⊆ Out D14224D14.8(C2xD4)448,1178
D14.9(C2×D4) = C2×D8⋊3D7φ: C2×D4/C2×C4 → C2 ⊆ Out D14224D14.9(C2xD4)448,1209
D14.10(C2×D4) = C2×SD16⋊3D7φ: C2×D4/C2×C4 → C2 ⊆ Out D14224D14.10(C2xD4)448,1214
D14.11(C2×D4) = C2×Q8.D14φ: C2×D4/C2×C4 → C2 ⊆ Out D14224D14.11(C2xD4)448,1218
D14.12(C2×D4) = C24.27D14φ: C2×D4/D4 → C2 ⊆ Out D14112D14.12(C2xD4)448,943
D14.13(C2×D4) = C14.2- 1+4φ: C2×D4/D4 → C2 ⊆ Out D14224D14.13(C2xD4)448,960
D14.14(C2×D4) = D28⋊23D4φ: C2×D4/D4 → C2 ⊆ Out D14112D14.14(C2xD4)448,1003
D14.15(C2×D4) = D28⋊24D4φ: C2×D4/D4 → C2 ⊆ Out D14224D14.15(C2xD4)448,1004
D14.16(C2×D4) = C24.33D14φ: C2×D4/D4 → C2 ⊆ Out D14112D14.16(C2xD4)448,1044
D14.17(C2×D4) = C14.402+ 1+4φ: C2×D4/D4 → C2 ⊆ Out D14112D14.17(C2xD4)448,1063
D14.18(C2×D4) = C14.732- 1+4φ: C2×D4/D4 → C2 ⊆ Out D14224D14.18(C2xD4)448,1064
D14.19(C2×D4) = D28⋊20D4φ: C2×D4/D4 → C2 ⊆ Out D14112D14.19(C2xD4)448,1065
D14.20(C2×D4) = D28⋊21D4φ: C2×D4/D4 → C2 ⊆ Out D14112D14.20(C2xD4)448,1083
D14.21(C2×D4) = D28⋊22D4φ: C2×D4/D4 → C2 ⊆ Out D14224D14.21(C2xD4)448,1084
D14.22(C2×D4) = C14.1212+ 1+4φ: C2×D4/D4 → C2 ⊆ Out D14112D14.22(C2xD4)448,1107
D14.23(C2×D4) = C14.822- 1+4φ: C2×D4/D4 → C2 ⊆ Out D14224D14.23(C2xD4)448,1108
D14.24(C2×D4) = D28⋊10D4φ: C2×D4/D4 → C2 ⊆ Out D14112D14.24(C2xD4)448,1129
D14.25(C2×D4) = D28⋊12D4φ: C2×D4/D4 → C2 ⊆ Out D14224D14.25(C2xD4)448,1179
D14.26(C2×D4) = D8⋊13D14φ: C2×D4/D4 → C2 ⊆ Out D141124D14.26(C2xD4)448,1210
D14.27(C2×D4) = D28.29D4φ: C2×D4/D4 → C2 ⊆ Out D141124D14.27(C2xD4)448,1215
D14.28(C2×D4) = D28.30D4φ: C2×D4/D4 → C2 ⊆ Out D142244D14.28(C2xD4)448,1219
D14.29(C2×D4) = D8⋊15D14φ: C2×D4/D4 → C2 ⊆ Out D141124+D14.29(C2xD4)448,1222
D14.30(C2×D4) = D8⋊11D14φ: C2×D4/D4 → C2 ⊆ Out D141124D14.30(C2xD4)448,1223
D14.31(C2×D4) = D8.10D14φ: C2×D4/D4 → C2 ⊆ Out D142244-D14.31(C2xD4)448,1224
D14.32(C2×D4) = D8⋊5D14φ: C2×D4/D4 → C2 ⊆ Out D141128+D14.32(C2xD4)448,1227
D14.33(C2×D4) = D8⋊6D14φ: C2×D4/D4 → C2 ⊆ Out D141128-D14.33(C2xD4)448,1228
D14.34(C2×D4) = C56.C23φ: C2×D4/D4 → C2 ⊆ Out D141128+D14.34(C2xD4)448,1231
D14.35(C2×D4) = D28.44D4φ: C2×D4/D4 → C2 ⊆ Out D142248-D14.35(C2xD4)448,1232
D14.36(C2×D4) = C2×D14.D4φ: C2×D4/C23 → C2 ⊆ Out D14224D14.36(C2xD4)448,941
D14.37(C2×D4) = C2×D14.5D4φ: C2×D4/C23 → C2 ⊆ Out D14224D14.37(C2xD4)448,958
D14.38(C2×D4) = C42⋊12D14φ: C2×D4/C23 → C2 ⊆ Out D14112D14.38(C2xD4)448,1000
D14.39(C2×D4) = C14.372+ 1+4φ: C2×D4/C23 → C2 ⊆ Out D14112D14.39(C2xD4)448,1058
D14.40(C2×D4) = C4⋊C4⋊21D14φ: C2×D4/C23 → C2 ⊆ Out D14112D14.40(C2xD4)448,1059
D14.41(C2×D4) = C14.382+ 1+4φ: C2×D4/C23 → C2 ⊆ Out D14112D14.41(C2xD4)448,1060
D14.42(C2×D4) = C4⋊C4⋊26D14φ: C2×D4/C23 → C2 ⊆ Out D14112D14.42(C2xD4)448,1080
D14.43(C2×D4) = C14.162- 1+4φ: C2×D4/C23 → C2 ⊆ Out D14224D14.43(C2xD4)448,1081
D14.44(C2×D4) = D7×C22.D4φ: C2×D4/C23 → C2 ⊆ Out D14112D14.44(C2xD4)448,1105
D14.45(C2×D4) = C42⋊18D14φ: C2×D4/C23 → C2 ⊆ Out D14112D14.45(C2xD4)448,1127
D14.46(C2×D4) = C42.141D14φ: C2×D4/C23 → C2 ⊆ Out D14224D14.46(C2xD4)448,1128
D14.47(C2×D4) = C42⋊26D14φ: C2×D4/C23 → C2 ⊆ Out D14112D14.47(C2xD4)448,1168
D14.48(C2×D4) = C42.171D14φ: C2×D4/C23 → C2 ⊆ Out D14224D14.48(C2xD4)448,1177
D14.49(C2×D4) = C2×D8⋊D7φ: C2×D4/C23 → C2 ⊆ Out D14112D14.49(C2xD4)448,1208
D14.50(C2×D4) = C2×D56⋊C2φ: C2×D4/C23 → C2 ⊆ Out D14112D14.50(C2xD4)448,1212
D14.51(C2×D4) = C2×SD16⋊D7φ: C2×D4/C23 → C2 ⊆ Out D14224D14.51(C2xD4)448,1213
D14.52(C2×D4) = C2×Q16⋊D7φ: C2×D4/C23 → C2 ⊆ Out D14224D14.52(C2xD4)448,1217
D14.53(C2×D4) = D8⋊10D14φ: C2×D4/C23 → C2 ⊆ Out D141124D14.53(C2xD4)448,1221
D14.54(C2×D4) = SD16⋊D14φ: C2×D4/C23 → C2 ⊆ Out D141128-D14.54(C2xD4)448,1226
D14.55(C2×D4) = D56⋊C22φ: C2×D4/C23 → C2 ⊆ Out D141128+D14.55(C2xD4)448,1230
D14.56(C2×D4) = C2×D7×C22⋊C4φ: trivial image112D14.56(C2xD4)448,937
D14.57(C2×D4) = C2×D7×C4⋊C4φ: trivial image224D14.57(C2xD4)448,954
D14.58(C2×D4) = C4×D4×D7φ: trivial image112D14.58(C2xD4)448,997
D14.59(C2×D4) = D7×C22⋊Q8φ: trivial image112D14.59(C2xD4)448,1079
D14.60(C2×D4) = D7×C4.4D4φ: trivial image112D14.60(C2xD4)448,1126
D14.61(C2×D4) = D7×C4⋊1D4φ: trivial image112D14.61(C2xD4)448,1167
D14.62(C2×D4) = D7×C4⋊Q8φ: trivial image224D14.62(C2xD4)448,1176
D14.63(C2×D4) = C2×D7×D8φ: trivial image112D14.63(C2xD4)448,1207
D14.64(C2×D4) = C2×D7×SD16φ: trivial image112D14.64(C2xD4)448,1211
D14.65(C2×D4) = C2×D7×Q16φ: trivial image224D14.65(C2xD4)448,1216
D14.66(C2×D4) = D7×C4○D8φ: trivial image1124D14.66(C2xD4)448,1220
D14.67(C2×D4) = D7×C8⋊C22φ: trivial image568+D14.67(C2xD4)448,1225
D14.68(C2×D4) = D7×C8.C22φ: trivial image1128-D14.68(C2xD4)448,1229

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