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Extensions 1→N→G→Q→1 with N=Dic7 and Q=C2×D4

Direct product G=N×Q with N=Dic7 and Q=C2×D4
dρLabelID
C2×D4×Dic7224C2xD4xDic7448,1248

Semidirect products G=N:Q with N=Dic7 and Q=C2×D4
extensionφ:Q→Out NdρLabelID
Dic7⋊1(C2×D4) = D7×C4⋊1D4φ: C2×D4/C2×C4 → C2 ⊆ Out Dic7112Dic7:1(C2xD4)448,1167
Dic7⋊2(C2×D4) = C2×C28⋊D4φ: C2×D4/C2×C4 → C2 ⊆ Out Dic7224Dic7:2(C2xD4)448,1256
Dic7⋊3(C2×D4) = C24⋊3D14φ: C2×D4/D4 → C2 ⊆ Out Dic7112Dic7:3(C2xD4)448,1043
Dic7⋊4(C2×D4) = D28⋊19D4φ: C2×D4/D4 → C2 ⊆ Out Dic7112Dic7:4(C2xD4)448,1062
Dic7⋊5(C2×D4) = D4×C7⋊D4φ: C2×D4/D4 → C2 ⊆ Out Dic7112Dic7:5(C2xD4)448,1254
Dic7⋊6(C2×D4) = C2×D14⋊D4φ: C2×D4/C23 → C2 ⊆ Out Dic7224Dic7:6(C2xD4)448,942
Dic7⋊7(C2×D4) = D7×C4⋊D4φ: C2×D4/C23 → C2 ⊆ Out Dic7112Dic7:7(C2xD4)448,1057
Dic7⋊8(C2×D4) = C2×Dic7⋊D4φ: C2×D4/C23 → C2 ⊆ Out Dic7224Dic7:8(C2xD4)448,1255
Dic7⋊9(C2×D4) = C2×Dic7⋊4D4φ: trivial image224Dic7:9(C2xD4)448,938
Dic7⋊10(C2×D4) = C2×D28⋊C4φ: trivial image224Dic7:10(C2xD4)448,956
Dic7⋊11(C2×D4) = C4×D4×D7φ: trivial image112Dic7:11(C2xD4)448,997

Non-split extensions G=N.Q with N=Dic7 and Q=C2×D4
extensionφ:Q→Out NdρLabelID
Dic7.1(C2×D4) = C2×Dic7.D4φ: C2×D4/C2×C4 → C2 ⊆ Out Dic7224Dic7.1(C2xD4)448,944
Dic7.2(C2×D4) = C2×C28⋊Q8φ: C2×D4/C2×C4 → C2 ⊆ Out Dic7448Dic7.2(C2xD4)448,950
Dic7.3(C2×D4) = C42.228D14φ: C2×D4/C2×C4 → C2 ⊆ Out Dic7224Dic7.3(C2xD4)448,1001
Dic7.4(C2×D4) = C24.34D14φ: C2×D4/C2×C4 → C2 ⊆ Out Dic7112Dic7.4(C2xD4)448,1045
Dic7.5(C2×D4) = C28⋊(C4○D4)φ: C2×D4/C2×C4 → C2 ⊆ Out Dic7224Dic7.5(C2xD4)448,1049
Dic7.6(C2×D4) = C14.382+ 1+4φ: C2×D4/C2×C4 → C2 ⊆ Out Dic7112Dic7.6(C2xD4)448,1060
Dic7.7(C2×D4) = C14.162- 1+4φ: C2×D4/C2×C4 → C2 ⊆ Out Dic7224Dic7.7(C2xD4)448,1081
Dic7.8(C2×D4) = C14.792- 1+4φ: C2×D4/C2×C4 → C2 ⊆ Out Dic7224Dic7.8(C2xD4)448,1101
Dic7.9(C2×D4) = D7×C4.4D4φ: C2×D4/C2×C4 → C2 ⊆ Out Dic7112Dic7.9(C2xD4)448,1126
Dic7.10(C2×D4) = D7×C4⋊Q8φ: C2×D4/C2×C4 → C2 ⊆ Out Dic7224Dic7.10(C2xD4)448,1176
Dic7.11(C2×D4) = C2×D7×D8φ: C2×D4/C2×C4 → C2 ⊆ Out Dic7112Dic7.11(C2xD4)448,1207
Dic7.12(C2×D4) = C2×D7×SD16φ: C2×D4/C2×C4 → C2 ⊆ Out Dic7112Dic7.12(C2xD4)448,1211
Dic7.13(C2×D4) = C2×D7×Q16φ: C2×D4/C2×C4 → C2 ⊆ Out Dic7224Dic7.13(C2xD4)448,1216
Dic7.14(C2×D4) = C24.27D14φ: C2×D4/D4 → C2 ⊆ Out Dic7112Dic7.14(C2xD4)448,943
Dic7.15(C2×D4) = C14.2- 1+4φ: C2×D4/D4 → C2 ⊆ Out Dic7224Dic7.15(C2xD4)448,960
Dic7.16(C2×D4) = D4×Dic14φ: C2×D4/D4 → C2 ⊆ Out Dic7224Dic7.16(C2xD4)448,990
Dic7.17(C2×D4) = Dic14⋊23D4φ: C2×D4/D4 → C2 ⊆ Out Dic7224Dic7.17(C2xD4)448,1005
Dic7.18(C2×D4) = Dic14⋊24D4φ: C2×D4/D4 → C2 ⊆ Out Dic7224Dic7.18(C2xD4)448,1006
Dic7.19(C2×D4) = C24.33D14φ: C2×D4/D4 → C2 ⊆ Out Dic7112Dic7.19(C2xD4)448,1044
Dic7.20(C2×D4) = Dic14⋊19D4φ: C2×D4/D4 → C2 ⊆ Out Dic7224Dic7.20(C2xD4)448,1051
Dic7.21(C2×D4) = Dic14⋊20D4φ: C2×D4/D4 → C2 ⊆ Out Dic7224Dic7.21(C2xD4)448,1052
Dic7.22(C2×D4) = C14.402+ 1+4φ: C2×D4/D4 → C2 ⊆ Out Dic7112Dic7.22(C2xD4)448,1063
Dic7.23(C2×D4) = C14.732- 1+4φ: C2×D4/D4 → C2 ⊆ Out Dic7224Dic7.23(C2xD4)448,1064
Dic7.24(C2×D4) = Dic14⋊21D4φ: C2×D4/D4 → C2 ⊆ Out Dic7224Dic7.24(C2xD4)448,1085
Dic7.25(C2×D4) = Dic14⋊22D4φ: C2×D4/D4 → C2 ⊆ Out Dic7224Dic7.25(C2xD4)448,1086
Dic7.26(C2×D4) = C14.1212+ 1+4φ: C2×D4/D4 → C2 ⊆ Out Dic7112Dic7.26(C2xD4)448,1107
Dic7.27(C2×D4) = C14.822- 1+4φ: C2×D4/D4 → C2 ⊆ Out Dic7224Dic7.27(C2xD4)448,1108
Dic7.28(C2×D4) = Dic14⋊10D4φ: C2×D4/D4 → C2 ⊆ Out Dic7224Dic7.28(C2xD4)448,1130
Dic7.29(C2×D4) = Dic14⋊11D4φ: C2×D4/D4 → C2 ⊆ Out Dic7224Dic7.29(C2xD4)448,1171
Dic7.30(C2×D4) = D28⋊8Q8φ: C2×D4/D4 → C2 ⊆ Out Dic7224Dic7.30(C2xD4)448,1180
Dic7.31(C2×D4) = D8⋊13D14φ: C2×D4/D4 → C2 ⊆ Out Dic71124Dic7.31(C2xD4)448,1210
Dic7.32(C2×D4) = D28.29D4φ: C2×D4/D4 → C2 ⊆ Out Dic71124Dic7.32(C2xD4)448,1215
Dic7.33(C2×D4) = D28.30D4φ: C2×D4/D4 → C2 ⊆ Out Dic72244Dic7.33(C2xD4)448,1219
Dic7.34(C2×D4) = D8⋊15D14φ: C2×D4/D4 → C2 ⊆ Out Dic71124+Dic7.34(C2xD4)448,1222
Dic7.35(C2×D4) = D8⋊11D14φ: C2×D4/D4 → C2 ⊆ Out Dic71124Dic7.35(C2xD4)448,1223
Dic7.36(C2×D4) = D8.10D14φ: C2×D4/D4 → C2 ⊆ Out Dic72244-Dic7.36(C2xD4)448,1224
Dic7.37(C2×D4) = D8⋊5D14φ: C2×D4/D4 → C2 ⊆ Out Dic71128+Dic7.37(C2xD4)448,1227
Dic7.38(C2×D4) = D8⋊6D14φ: C2×D4/D4 → C2 ⊆ Out Dic71128-Dic7.38(C2xD4)448,1228
Dic7.39(C2×D4) = C56.C23φ: C2×D4/D4 → C2 ⊆ Out Dic71128+Dic7.39(C2xD4)448,1231
Dic7.40(C2×D4) = D28.44D4φ: C2×D4/D4 → C2 ⊆ Out Dic72248-Dic7.40(C2xD4)448,1232
Dic7.41(C2×D4) = C2×C22⋊Dic14φ: C2×D4/C23 → C2 ⊆ Out Dic7224Dic7.41(C2xD4)448,934
Dic7.42(C2×D4) = C2×D14⋊Q8φ: C2×D4/C23 → C2 ⊆ Out Dic7224Dic7.42(C2xD4)448,961
Dic7.43(C2×D4) = C42⋊12D14φ: C2×D4/C23 → C2 ⊆ Out Dic7112Dic7.43(C2xD4)448,1000
Dic7.44(C2×D4) = C24.56D14φ: C2×D4/C23 → C2 ⊆ Out Dic7112Dic7.44(C2xD4)448,1039
Dic7.45(C2×D4) = C14.682- 1+4φ: C2×D4/C23 → C2 ⊆ Out Dic7224Dic7.45(C2xD4)448,1050
Dic7.46(C2×D4) = C14.722- 1+4φ: C2×D4/C23 → C2 ⊆ Out Dic7224Dic7.46(C2xD4)448,1061
Dic7.47(C2×D4) = D7×C22⋊Q8φ: C2×D4/C23 → C2 ⊆ Out Dic7112Dic7.47(C2xD4)448,1079
Dic7.48(C2×D4) = C14.172- 1+4φ: C2×D4/C23 → C2 ⊆ Out Dic7224Dic7.48(C2xD4)448,1082
Dic7.49(C2×D4) = C4⋊C4⋊28D14φ: C2×D4/C23 → C2 ⊆ Out Dic7112Dic7.49(C2xD4)448,1109
Dic7.50(C2×D4) = C42⋊18D14φ: C2×D4/C23 → C2 ⊆ Out Dic7112Dic7.50(C2xD4)448,1127
Dic7.51(C2×D4) = C42.141D14φ: C2×D4/C23 → C2 ⊆ Out Dic7224Dic7.51(C2xD4)448,1128
Dic7.52(C2×D4) = C42⋊26D14φ: C2×D4/C23 → C2 ⊆ Out Dic7112Dic7.52(C2xD4)448,1168
Dic7.53(C2×D4) = C42.171D14φ: C2×D4/C23 → C2 ⊆ Out Dic7224Dic7.53(C2xD4)448,1177
Dic7.54(C2×D4) = C2×D8⋊D7φ: C2×D4/C23 → C2 ⊆ Out Dic7112Dic7.54(C2xD4)448,1208
Dic7.55(C2×D4) = C2×D56⋊C2φ: C2×D4/C23 → C2 ⊆ Out Dic7112Dic7.55(C2xD4)448,1212
Dic7.56(C2×D4) = C2×SD16⋊D7φ: C2×D4/C23 → C2 ⊆ Out Dic7224Dic7.56(C2xD4)448,1213
Dic7.57(C2×D4) = C2×Q16⋊D7φ: C2×D4/C23 → C2 ⊆ Out Dic7224Dic7.57(C2xD4)448,1217
Dic7.58(C2×D4) = D8⋊10D14φ: C2×D4/C23 → C2 ⊆ Out Dic71124Dic7.58(C2xD4)448,1221
Dic7.59(C2×D4) = D7×C8⋊C22φ: C2×D4/C23 → C2 ⊆ Out Dic7568+Dic7.59(C2xD4)448,1225
Dic7.60(C2×D4) = SD16⋊D14φ: C2×D4/C23 → C2 ⊆ Out Dic71128-Dic7.60(C2xD4)448,1226
Dic7.61(C2×D4) = D7×C8.C22φ: C2×D4/C23 → C2 ⊆ Out Dic71128-Dic7.61(C2xD4)448,1229
Dic7.62(C2×D4) = D56⋊C22φ: C2×D4/C23 → C2 ⊆ Out Dic71128+Dic7.62(C2xD4)448,1230
Dic7.63(C2×D4) = C4⋊C4⋊21D14φ: trivial image112Dic7.63(C2xD4)448,1059
Dic7.64(C2×D4) = C4⋊C4⋊26D14φ: trivial image112Dic7.64(C2xD4)448,1080
Dic7.65(C2×D4) = C42.233D14φ: trivial image224Dic7.65(C2xD4)448,1121
Dic7.66(C2×D4) = C42.238D14φ: trivial image224Dic7.66(C2xD4)448,1169
Dic7.67(C2×D4) = C42.240D14φ: trivial image224Dic7.67(C2xD4)448,1178
Dic7.68(C2×D4) = C2×D8⋊3D7φ: trivial image224Dic7.68(C2xD4)448,1209
Dic7.69(C2×D4) = C2×SD16⋊3D7φ: trivial image224Dic7.69(C2xD4)448,1214
Dic7.70(C2×D4) = C2×Q8.D14φ: trivial image224Dic7.70(C2xD4)448,1218
Dic7.71(C2×D4) = D7×C4○D8φ: trivial image1124Dic7.71(C2xD4)448,1220

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