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

Direct product G=N×Q with N=D10 and Q=C4⋊C4
dρLabelID
C2×D5×C4⋊C4160C2xD5xC4:C4320,1173

Semidirect products G=N:Q with N=D10 and Q=C4⋊C4
extensionφ:Q→Out NdρLabelID
D10⋊(C4⋊C4) = D10⋊(C4⋊C4)φ: C4⋊C4/C22 → C22 ⊆ Out D1040D10:(C4:C4)320,1037
D10⋊2(C4⋊C4) = D10⋊2(C4⋊C4)φ: C4⋊C4/C2×C4 → C2 ⊆ Out D10160D10:2(C4:C4)320,294
D10⋊3(C4⋊C4) = D10⋊3(C4⋊C4)φ: C4⋊C4/C2×C4 → C2 ⊆ Out D10160D10:3(C4:C4)320,295
D10⋊4(C4⋊C4) = D10⋊4(C4⋊C4)φ: C4⋊C4/C2×C4 → C2 ⊆ Out D10160D10:4(C4:C4)320,614
D10⋊5(C4⋊C4) = D10⋊5(C4⋊C4)φ: C4⋊C4/C2×C4 → C2 ⊆ Out D10160D10:5(C4:C4)320,616
D10⋊6(C4⋊C4) = D10⋊6(C4⋊C4)φ: C4⋊C4/C2×C4 → C2 ⊆ Out D1080D10:6(C4:C4)320,1103
D10⋊7(C4⋊C4) = C22×C4⋊F5φ: C4⋊C4/C2×C4 → C2 ⊆ Out D1080D10:7(C4:C4)320,1591

Non-split extensions G=N.Q with N=D10 and Q=C4⋊C4
extensionφ:Q→Out NdρLabelID
D10.1(C4⋊C4) = C42⋊3F5φ: C4⋊C4/C22 → C22 ⊆ Out D10804D10.1(C4:C4)320,201
D10.2(C4⋊C4) = (C22×F5)⋊C4φ: C4⋊C4/C22 → C22 ⊆ Out D10408+D10.2(C4:C4)320,204
D10.3(C4⋊C4) = C20.C42φ: C4⋊C4/C22 → C22 ⊆ Out D1080D10.3(C4:C4)320,213
D10.4(C4⋊C4) = (C2×C8)⋊F5φ: C4⋊C4/C22 → C22 ⊆ Out D10804D10.4(C4:C4)320,232
D10.5(C4⋊C4) = C20.25C42φ: C4⋊C4/C22 → C22 ⊆ Out D10804D10.5(C4:C4)320,235
D10.6(C4⋊C4) = M4(2)⋊F5φ: C4⋊C4/C22 → C22 ⊆ Out D10408D10.6(C4:C4)320,237
D10.7(C4⋊C4) = M4(2).F5φ: C4⋊C4/C22 → C22 ⊆ Out D10808D10.7(C4:C4)320,239
D10.8(C4⋊C4) = C22⋊F5⋊C4φ: C4⋊C4/C22 → C22 ⊆ Out D1080D10.8(C4:C4)320,255
D10.9(C4⋊C4) = C4⋊C4.9F5φ: C4⋊C4/C22 → C22 ⊆ Out D10160D10.9(C4:C4)320,1046
D10.10(C4⋊C4) = M4(2)⋊1F5φ: C4⋊C4/C22 → C22 ⊆ Out D10408D10.10(C4:C4)320,1065
D10.11(C4⋊C4) = M4(2).1F5φ: C4⋊C4/C22 → C22 ⊆ Out D10808D10.11(C4:C4)320,1067
D10.12(C4⋊C4) = C20⋊5M4(2)φ: C4⋊C4/C2×C4 → C2 ⊆ Out D10160D10.12(C4:C4)320,464
D10.13(C4⋊C4) = C42.30D10φ: C4⋊C4/C2×C4 → C2 ⊆ Out D10160D10.13(C4:C4)320,466
D10.14(C4⋊C4) = (C8×D5)⋊C4φ: C4⋊C4/C2×C4 → C2 ⊆ Out D10160D10.14(C4:C4)320,487
D10.15(C4⋊C4) = C8⋊(C4×D5)φ: C4⋊C4/C2×C4 → C2 ⊆ Out D10160D10.15(C4:C4)320,488
D10.16(C4⋊C4) = C8.27(C4×D5)φ: C4⋊C4/C2×C4 → C2 ⊆ Out D10160D10.16(C4:C4)320,507
D10.17(C4⋊C4) = C40⋊20(C2×C4)φ: C4⋊C4/C2×C4 → C2 ⊆ Out D10160D10.17(C4:C4)320,508
D10.18(C4⋊C4) = M4(2).25D10φ: C4⋊C4/C2×C4 → C2 ⊆ Out D10804D10.18(C4:C4)320,520
D10.19(C4⋊C4) = C42⋊6F5φ: C4⋊C4/C2×C4 → C2 ⊆ Out D10404D10.19(C4:C4)320,200
D10.20(C4⋊C4) = D10.18D8φ: C4⋊C4/C2×C4 → C2 ⊆ Out D1080D10.20(C4:C4)320,212
D10.21(C4⋊C4) = D10.3M4(2)φ: C4⋊C4/C2×C4 → C2 ⊆ Out D1080D10.21(C4:C4)320,230
D10.22(C4⋊C4) = C20.10C42φ: C4⋊C4/C2×C4 → C2 ⊆ Out D10160D10.22(C4:C4)320,234
D10.23(C4⋊C4) = M4(2)⋊4F5φ: C4⋊C4/C2×C4 → C2 ⊆ Out D10808D10.23(C4:C4)320,240
D10.24(C4⋊C4) = C42.11F5φ: C4⋊C4/C2×C4 → C2 ⊆ Out D10160D10.24(C4:C4)320,1017
D10.25(C4⋊C4) = C20⋊3M4(2)φ: C4⋊C4/C2×C4 → C2 ⊆ Out D10160D10.25(C4:C4)320,1019
D10.26(C4⋊C4) = C42.14F5φ: C4⋊C4/C2×C4 → C2 ⊆ Out D10160D10.26(C4:C4)320,1020
D10.27(C4⋊C4) = C2×C40⋊C4φ: C4⋊C4/C2×C4 → C2 ⊆ Out D1080D10.27(C4:C4)320,1057
D10.28(C4⋊C4) = C2×D5.D8φ: C4⋊C4/C2×C4 → C2 ⊆ Out D1080D10.28(C4:C4)320,1058
D10.29(C4⋊C4) = (C2×C8)⋊6F5φ: C4⋊C4/C2×C4 → C2 ⊆ Out D10804D10.29(C4:C4)320,1059
D10.30(C4⋊C4) = C2×C40.C4φ: C4⋊C4/C2×C4 → C2 ⊆ Out D10160D10.30(C4:C4)320,1060
D10.31(C4⋊C4) = C2×D10.Q8φ: C4⋊C4/C2×C4 → C2 ⊆ Out D10160D10.31(C4:C4)320,1061
D10.32(C4⋊C4) = (C8×D5).C4φ: C4⋊C4/C2×C4 → C2 ⊆ Out D10804D10.32(C4:C4)320,1062
D10.33(C4⋊C4) = C2×D10.3Q8φ: C4⋊C4/C2×C4 → C2 ⊆ Out D1080D10.33(C4:C4)320,1100
D10.34(C4⋊C4) = D5×C2.C42φ: trivial image160D10.34(C4:C4)320,290
D10.35(C4⋊C4) = D5×C4⋊C8φ: trivial image160D10.35(C4:C4)320,459
D10.36(C4⋊C4) = D5×C4.Q8φ: trivial image160D10.36(C4:C4)320,486
D10.37(C4⋊C4) = D5×C2.D8φ: trivial image160D10.37(C4:C4)320,506
D10.38(C4⋊C4) = D5×C8.C4φ: trivial image804D10.38(C4:C4)320,519

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