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Extensions 1→N→G→Q→1 with N=Dic5 and Q=C2×Q8

Direct product G=N×Q with N=Dic5 and Q=C2×Q8
dρLabelID
C2×Q8×Dic5320C2xQ8xDic5320,1483

Semidirect products G=N:Q with N=Dic5 and Q=C2×Q8
extensionφ:Q→Out NdρLabelID
Dic5⋊1(C2×Q8) = C2×C20⋊Q8φ: C2×Q8/C2×C4 → C2 ⊆ Out Dic5320Dic5:1(C2xQ8)320,1169
Dic5⋊2(C2×Q8) = D5×C4⋊Q8φ: C2×Q8/C2×C4 → C2 ⊆ Out Dic5160Dic5:2(C2xQ8)320,1395
Dic5⋊3(C2×Q8) = C2×Dic5⋊Q8φ: C2×Q8/C2×C4 → C2 ⊆ Out Dic5320Dic5:3(C2xQ8)320,1482
Dic5⋊4(C2×Q8) = Dic10⋊21D4φ: C2×Q8/Q8 → C2 ⊆ Out Dic5160Dic5:4(C2xQ8)320,1304
Dic5⋊5(C2×Q8) = Q8×C5⋊D4φ: C2×Q8/Q8 → C2 ⊆ Out Dic5160Dic5:5(C2xQ8)320,1487
Dic5⋊6(C2×Q8) = C2×Dic5⋊3Q8φ: trivial image320Dic5:6(C2xQ8)320,1168
Dic5⋊7(C2×Q8) = C4×Q8×D5φ: trivial image160Dic5:7(C2xQ8)320,1243

Non-split extensions G=N.Q with N=Dic5 and Q=C2×Q8
extensionφ:Q→Out NdρLabelID
Dic5.1(C2×Q8) = C2×Dic5.Q8φ: C2×Q8/C2×C4 → C2 ⊆ Out Dic5320Dic5.1(C2xQ8)320,1170
Dic5.2(C2×Q8) = C42.232D10φ: C2×Q8/C2×C4 → C2 ⊆ Out Dic5160Dic5.2(C2xQ8)320,1250
Dic5.3(C2×Q8) = (Q8×Dic5)⋊C2φ: C2×Q8/C2×C4 → C2 ⊆ Out Dic5160Dic5.3(C2xQ8)320,1294
Dic5.4(C2×Q8) = C10.502+ 1+4φ: C2×Q8/C2×C4 → C2 ⊆ Out Dic5160Dic5.4(C2xQ8)320,1295
Dic5.5(C2×Q8) = D5×C42.C2φ: C2×Q8/C2×C4 → C2 ⊆ Out Dic5160Dic5.5(C2xQ8)320,1359
Dic5.6(C2×Q8) = C42.148D10φ: C2×Q8/C2×C4 → C2 ⊆ Out Dic5160Dic5.6(C2xQ8)320,1361
Dic5.7(C2×Q8) = C42.174D10φ: C2×Q8/C2×C4 → C2 ⊆ Out Dic5160Dic5.7(C2xQ8)320,1401
Dic5.8(C2×Q8) = C42.11F5φ: C2×Q8/C2×C4 → C2 ⊆ Out Dic5160Dic5.8(C2xQ8)320,1017
Dic5.9(C2×Q8) = C20⋊3M4(2)φ: C2×Q8/C2×C4 → C2 ⊆ Out Dic5160Dic5.9(C2xQ8)320,1019
Dic5.10(C2×Q8) = C42.14F5φ: C2×Q8/C2×C4 → C2 ⊆ Out Dic5160Dic5.10(C2xQ8)320,1020
Dic5.11(C2×Q8) = C20⋊C8⋊C2φ: C2×Q8/C2×C4 → C2 ⊆ Out Dic5160Dic5.11(C2xQ8)320,1034
Dic5.12(C2×Q8) = C4⋊C4.9F5φ: C2×Q8/C2×C4 → C2 ⊆ Out Dic5160Dic5.12(C2xQ8)320,1046
Dic5.13(C2×Q8) = C2×C40⋊C4φ: C2×Q8/C2×C4 → C2 ⊆ Out Dic580Dic5.13(C2xQ8)320,1057
Dic5.14(C2×Q8) = C2×D5.D8φ: C2×Q8/C2×C4 → C2 ⊆ Out Dic580Dic5.14(C2xQ8)320,1058
Dic5.15(C2×Q8) = (C2×C8)⋊6F5φ: C2×Q8/C2×C4 → C2 ⊆ Out Dic5804Dic5.15(C2xQ8)320,1059
Dic5.16(C2×Q8) = M4(2)⋊1F5φ: C2×Q8/C2×C4 → C2 ⊆ Out Dic5408Dic5.16(C2xQ8)320,1065
Dic5.17(C2×Q8) = C2×C20⋊C8φ: C2×Q8/C2×C4 → C2 ⊆ Out Dic5320Dic5.17(C2xQ8)320,1085
Dic5.18(C2×Q8) = C2×Dic5⋊C8φ: C2×Q8/C2×C4 → C2 ⊆ Out Dic5320Dic5.18(C2xQ8)320,1090
Dic5.19(C2×Q8) = C20⋊8M4(2)φ: C2×Q8/C2×C4 → C2 ⊆ Out Dic5160Dic5.19(C2xQ8)320,1096
Dic5.20(C2×Q8) = C10.102+ 1+4φ: C2×Q8/Q8 → C2 ⊆ Out Dic5160Dic5.20(C2xQ8)320,1183
Dic5.21(C2×Q8) = Q8×Dic10φ: C2×Q8/Q8 → C2 ⊆ Out Dic5320Dic5.21(C2xQ8)320,1238
Dic5.22(C2×Q8) = Dic10⋊10Q8φ: C2×Q8/Q8 → C2 ⊆ Out Dic5320Dic5.22(C2xQ8)320,1239
Dic5.23(C2×Q8) = C10.1182+ 1+4φ: C2×Q8/Q8 → C2 ⊆ Out Dic5160Dic5.23(C2xQ8)320,1307
Dic5.24(C2×Q8) = C10.522+ 1+4φ: C2×Q8/Q8 → C2 ⊆ Out Dic5160Dic5.24(C2xQ8)320,1308
Dic5.25(C2×Q8) = Dic10⋊7Q8φ: C2×Q8/Q8 → C2 ⊆ Out Dic5320Dic5.25(C2xQ8)320,1357
Dic5.26(C2×Q8) = Dic10⋊8Q8φ: C2×Q8/Q8 → C2 ⊆ Out Dic5320Dic5.26(C2xQ8)320,1393
Dic5.27(C2×Q8) = Dic10⋊9Q8φ: C2×Q8/Q8 → C2 ⊆ Out Dic5320Dic5.27(C2xQ8)320,1394
Dic5.28(C2×Q8) = Dic10⋊C8φ: C2×Q8/Q8 → C2 ⊆ Out Dic5320Dic5.28(C2xQ8)320,1041
Dic5.29(C2×Q8) = Dic5.M4(2)φ: C2×Q8/Q8 → C2 ⊆ Out Dic5320Dic5.29(C2xQ8)320,1045
Dic5.30(C2×Q8) = C20.M4(2)φ: C2×Q8/Q8 → C2 ⊆ Out Dic5320Dic5.30(C2xQ8)320,1047
Dic5.31(C2×Q8) = Q8×C5⋊C8φ: C2×Q8/Q8 → C2 ⊆ Out Dic5320Dic5.31(C2xQ8)320,1124
Dic5.32(C2×Q8) = C20.6M4(2)φ: C2×Q8/Q8 → C2 ⊆ Out Dic5320Dic5.32(C2xQ8)320,1126
Dic5.33(C2×Q8) = C42.236D10φ: trivial image160Dic5.33(C2xQ8)320,1360
Dic5.34(C2×Q8) = C42.241D10φ: trivial image160Dic5.34(C2xQ8)320,1400

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