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Extensions 1→N→G→Q→1 with N=D10 and Q=C22⋊C4

Direct product G=N×Q with N=D10 and Q=C22⋊C4
dρLabelID
C2×D5×C22⋊C480C2xD5xC2^2:C4320,1156

Semidirect products G=N:Q with N=D10 and Q=C22⋊C4
extensionφ:Q→Out NdρLabelID
D10⋊(C22⋊C4) = (C2×F5)⋊D4φ: C22⋊C4/C22 → C22 ⊆ Out D1040D10:(C2^2:C4)320,1117
D10⋊2(C22⋊C4) = (C2×C4)⋊9D20φ: C22⋊C4/C2×C4 → C2 ⊆ Out D10160D10:2(C2^2:C4)320,292
D10⋊3(C22⋊C4) = C24.12D10φ: C22⋊C4/C2×C4 → C2 ⊆ Out D10160D10:3(C2^2:C4)320,583
D10⋊4(C22⋊C4) = C24.48D10φ: C22⋊C4/C23 → C2 ⊆ Out D1080D10:4(C2^2:C4)320,582
D10⋊5(C22⋊C4) = C24⋊4F5φ: C22⋊C4/C23 → C2 ⊆ Out D1040D10:5(C2^2:C4)320,1138
D10⋊6(C22⋊C4) = C22×C22⋊F5φ: C22⋊C4/C23 → C2 ⊆ Out D1080D10:6(C2^2:C4)320,1607

Non-split extensions G=N.Q with N=D10 and Q=C22⋊C4
extensionφ:Q→Out NdρLabelID
D10.1(C22⋊C4) = C42⋊3F5φ: C22⋊C4/C22 → C22 ⊆ Out D10804D10.1(C2^2:C4)320,201
D10.2(C22⋊C4) = (C22×F5)⋊C4φ: C22⋊C4/C22 → C22 ⊆ Out D10408+D10.2(C2^2:C4)320,204
D10.3(C22⋊C4) = C20.C42φ: C22⋊C4/C22 → C22 ⊆ Out D1080D10.3(C2^2:C4)320,213
D10.4(C22⋊C4) = (C2×C8)⋊F5φ: C22⋊C4/C22 → C22 ⊆ Out D10804D10.4(C2^2:C4)320,232
D10.5(C22⋊C4) = C20.24C42φ: C22⋊C4/C22 → C22 ⊆ Out D10804D10.5(C2^2:C4)320,233
D10.6(C22⋊C4) = M4(2)⋊3F5φ: C22⋊C4/C22 → C22 ⊆ Out D10408D10.6(C2^2:C4)320,238
D10.7(C22⋊C4) = M4(2)⋊4F5φ: C22⋊C4/C22 → C22 ⊆ Out D10808D10.7(C2^2:C4)320,240
D10.8(C22⋊C4) = C22⋊F5⋊C4φ: C22⋊C4/C22 → C22 ⊆ Out D1080D10.8(C2^2:C4)320,255
D10.9(C22⋊C4) = C2×D10.D4φ: C22⋊C4/C22 → C22 ⊆ Out D1080D10.9(C2^2:C4)320,1082
D10.10(C22⋊C4) = (C4×D5).D4φ: C22⋊C4/C22 → C22 ⊆ Out D10804D10.10(C2^2:C4)320,1099
D10.11(C22⋊C4) = C2×D4⋊F5φ: C22⋊C4/C22 → C22 ⊆ Out D1080D10.11(C2^2:C4)320,1106
D10.12(C22⋊C4) = (C2×D4)⋊6F5φ: C22⋊C4/C22 → C22 ⊆ Out D10808-D10.12(C2^2:C4)320,1107
D10.13(C22⋊C4) = (C2×D4).8F5φ: C22⋊C4/C22 → C22 ⊆ Out D10160D10.13(C2^2:C4)320,1114
D10.14(C22⋊C4) = C2×Q8⋊2F5φ: C22⋊C4/C22 → C22 ⊆ Out D1080D10.14(C2^2:C4)320,1121
D10.15(C22⋊C4) = (C2×Q8)⋊6F5φ: C22⋊C4/C22 → C22 ⊆ Out D10808+D10.15(C2^2:C4)320,1122
D10.16(C22⋊C4) = (C2×Q8).5F5φ: C22⋊C4/C22 → C22 ⊆ Out D10160D10.16(C2^2:C4)320,1125
D10.17(C22⋊C4) = C4○D4⋊F5φ: C22⋊C4/C22 → C22 ⊆ Out D10408D10.17(C2^2:C4)320,1131
D10.18(C22⋊C4) = C4○D20⋊C4φ: C22⋊C4/C22 → C22 ⊆ Out D10808D10.18(C2^2:C4)320,1132
D10.19(C22⋊C4) = C2×C23⋊F5φ: C22⋊C4/C22 → C22 ⊆ Out D1080D10.19(C2^2:C4)320,1134
D10.20(C22⋊C4) = C22⋊C8⋊D5φ: C22⋊C4/C2×C4 → C2 ⊆ Out D10160D10.20(C2^2:C4)320,354
D10.21(C22⋊C4) = M4(2).19D10φ: C22⋊C4/C2×C4 → C2 ⊆ Out D10808-D10.21(C2^2:C4)320,372
D10.22(C22⋊C4) = M4(2).21D10φ: C22⋊C4/C2×C4 → C2 ⊆ Out D10808+D10.22(C2^2:C4)320,378
D10.23(C22⋊C4) = D4⋊(C4×D5)φ: C22⋊C4/C2×C4 → C2 ⊆ Out D10160D10.23(C2^2:C4)320,398
D10.24(C22⋊C4) = D4⋊2D5⋊C4φ: C22⋊C4/C2×C4 → C2 ⊆ Out D10160D10.24(C2^2:C4)320,399
D10.25(C22⋊C4) = Q8⋊(C4×D5)φ: C22⋊C4/C2×C4 → C2 ⊆ Out D10160D10.25(C2^2:C4)320,430
D10.26(C22⋊C4) = Q8⋊2D5⋊C4φ: C22⋊C4/C2×C4 → C2 ⊆ Out D10160D10.26(C2^2:C4)320,431
D10.27(C22⋊C4) = C42⋊D10φ: C22⋊C4/C2×C4 → C2 ⊆ Out D10804D10.27(C2^2:C4)320,448
D10.28(C22⋊C4) = C42⋊6F5φ: C22⋊C4/C2×C4 → C2 ⊆ Out D10404D10.28(C2^2:C4)320,200
D10.29(C22⋊C4) = D10.18D8φ: C22⋊C4/C2×C4 → C2 ⊆ Out D1080D10.29(C2^2:C4)320,212
D10.30(C22⋊C4) = D10.3M4(2)φ: C22⋊C4/C2×C4 → C2 ⊆ Out D1080D10.30(C2^2:C4)320,230
D10.31(C22⋊C4) = D10.10D8φ: C22⋊C4/C2×C4 → C2 ⊆ Out D1080D10.31(C2^2:C4)320,231
D10.32(C22⋊C4) = M4(2)⋊F5φ: C22⋊C4/C2×C4 → C2 ⊆ Out D10408D10.32(C2^2:C4)320,237
D10.33(C22⋊C4) = C2×D10.3Q8φ: C22⋊C4/C2×C4 → C2 ⊆ Out D1080D10.33(C2^2:C4)320,1100
D10.34(C22⋊C4) = C22.58(D4×D5)φ: C22⋊C4/C23 → C2 ⊆ Out D10160D10.34(C2^2:C4)320,291
D10.35(C22⋊C4) = D10⋊7M4(2)φ: C22⋊C4/C23 → C2 ⊆ Out D1080D10.35(C2^2:C4)320,353
D10.36(C22⋊C4) = (D4×D5)⋊C4φ: C22⋊C4/C23 → C2 ⊆ Out D1080D10.36(C2^2:C4)320,397
D10.37(C22⋊C4) = (Q8×D5)⋊C4φ: C22⋊C4/C23 → C2 ⊆ Out D10160D10.37(C2^2:C4)320,429
D10.38(C22⋊C4) = D10.11M4(2)φ: C22⋊C4/C23 → C2 ⊆ Out D1080D10.38(C2^2:C4)320,1091
D10.39(C22⋊C4) = D10⋊10M4(2)φ: C22⋊C4/C23 → C2 ⊆ Out D1080D10.39(C2^2:C4)320,1094
D10.40(C22⋊C4) = (C22×C4)⋊7F5φ: C22⋊C4/C23 → C2 ⊆ Out D1080D10.40(C2^2:C4)320,1102
D10.41(C22⋊C4) = C2×D20⋊C4φ: C22⋊C4/C23 → C2 ⊆ Out D1080D10.41(C2^2:C4)320,1104
D10.42(C22⋊C4) = (D4×C10)⋊C4φ: C22⋊C4/C23 → C2 ⊆ Out D10408+D10.42(C2^2:C4)320,1105
D10.43(C22⋊C4) = (C2×D4)⋊7F5φ: C22⋊C4/C23 → C2 ⊆ Out D10408+D10.43(C2^2:C4)320,1108
D10.44(C22⋊C4) = D5⋊(C4.D4)φ: C22⋊C4/C23 → C2 ⊆ Out D10408+D10.44(C2^2:C4)320,1116
D10.45(C22⋊C4) = C2×Q8⋊F5φ: C22⋊C4/C23 → C2 ⊆ Out D1080D10.45(C2^2:C4)320,1119
D10.46(C22⋊C4) = (C2×Q8)⋊4F5φ: C22⋊C4/C23 → C2 ⊆ Out D10808-D10.46(C2^2:C4)320,1120
D10.47(C22⋊C4) = (C2×Q8).7F5φ: C22⋊C4/C23 → C2 ⊆ Out D10808-D10.47(C2^2:C4)320,1127
D10.48(C22⋊C4) = D5⋊C4≀C2φ: C22⋊C4/C23 → C2 ⊆ Out D10408D10.48(C2^2:C4)320,1130
D10.49(C22⋊C4) = D4⋊F5⋊C2φ: C22⋊C4/C23 → C2 ⊆ Out D10808D10.49(C2^2:C4)320,1133
D10.50(C22⋊C4) = D5×C2.C42φ: trivial image160D10.50(C2^2:C4)320,290
D10.51(C22⋊C4) = D5×C22⋊C8φ: trivial image80D10.51(C2^2:C4)320,351
D10.52(C22⋊C4) = D5×C23⋊C4φ: trivial image408+D10.52(C2^2:C4)320,370
D10.53(C22⋊C4) = D5×C4.D4φ: trivial image408+D10.53(C2^2:C4)320,371
D10.54(C22⋊C4) = D5×C4.10D4φ: trivial image808-D10.54(C2^2:C4)320,377
D10.55(C22⋊C4) = D5×D4⋊C4φ: trivial image80D10.55(C2^2:C4)320,396
D10.56(C22⋊C4) = D5×Q8⋊C4φ: trivial image160D10.56(C2^2:C4)320,428
D10.57(C22⋊C4) = D5×C4≀C2φ: trivial image404D10.57(C2^2:C4)320,447

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