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Extensions 1→N→G→Q→1 with N=D10 and Q=C2×C4

Direct product G=N×Q with N=D10 and Q=C2×C4
dρLabelID
D5×C22×C480D5xC2^2xC4160,214

Semidirect products G=N:Q with N=D10 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
D10⋊(C2×C4) = D4×F5φ: C2×C4/C2 → C22 ⊆ Out D10208+D10:(C2xC4)160,207
D10⋊2(C2×C4) = C4×D20φ: C2×C4/C4 → C2 ⊆ Out D1080D10:2(C2xC4)160,94
D10⋊3(C2×C4) = Dic5⋊4D4φ: C2×C4/C4 → C2 ⊆ Out D1080D10:3(C2xC4)160,102
D10⋊4(C2×C4) = D20⋊8C4φ: C2×C4/C4 → C2 ⊆ Out D1080D10:4(C2xC4)160,114
D10⋊5(C2×C4) = C4×C5⋊D4φ: C2×C4/C4 → C2 ⊆ Out D1080D10:5(C2xC4)160,149
D10⋊6(C2×C4) = D5×C22⋊C4φ: C2×C4/C22 → C2 ⊆ Out D1040D10:6(C2xC4)160,101
D10⋊7(C2×C4) = C2×D10⋊C4φ: C2×C4/C22 → C2 ⊆ Out D1080D10:7(C2xC4)160,148
D10⋊8(C2×C4) = C2×C22⋊F5φ: C2×C4/C22 → C2 ⊆ Out D1040D10:8(C2xC4)160,212
D10⋊9(C2×C4) = C23×F5φ: C2×C4/C22 → C2 ⊆ Out D1040D10:9(C2xC4)160,236

Non-split extensions G=N.Q with N=D10 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
D10.1(C2×C4) = D4.F5φ: C2×C4/C2 → C22 ⊆ Out D10808-D10.1(C2xC4)160,206
D10.2(C2×C4) = Q8.F5φ: C2×C4/C2 → C22 ⊆ Out D10808+D10.2(C2xC4)160,208
D10.3(C2×C4) = D20.3C4φ: C2×C4/C4 → C2 ⊆ Out D10802D10.3(C2xC4)160,122
D10.4(C2×C4) = D20.2C4φ: C2×C4/C4 → C2 ⊆ Out D10804D10.4(C2xC4)160,128
D10.5(C2×C4) = C8×F5φ: C2×C4/C4 → C2 ⊆ Out D10404D10.5(C2xC4)160,66
D10.6(C2×C4) = C8⋊F5φ: C2×C4/C4 → C2 ⊆ Out D10404D10.6(C2xC4)160,67
D10.7(C2×C4) = D10.3Q8φ: C2×C4/C4 → C2 ⊆ Out D1040D10.7(C2xC4)160,81
D10.8(C2×C4) = C42⋊D5φ: C2×C4/C22 → C2 ⊆ Out D1080D10.8(C2xC4)160,93
D10.9(C2×C4) = C4⋊C4⋊7D5φ: C2×C4/C22 → C2 ⊆ Out D1080D10.9(C2xC4)160,113
D10.10(C2×C4) = C2×C8⋊D5φ: C2×C4/C22 → C2 ⊆ Out D1080D10.10(C2xC4)160,121
D10.11(C2×C4) = D5×M4(2)φ: C2×C4/C22 → C2 ⊆ Out D10404D10.11(C2xC4)160,127
D10.12(C2×C4) = C2×D5⋊C8φ: C2×C4/C22 → C2 ⊆ Out D1080D10.12(C2xC4)160,200
D10.13(C2×C4) = C2×C4.F5φ: C2×C4/C22 → C2 ⊆ Out D1080D10.13(C2xC4)160,201
D10.14(C2×C4) = D5⋊M4(2)φ: C2×C4/C22 → C2 ⊆ Out D10404D10.14(C2xC4)160,202
D10.15(C2×C4) = C2×C4×F5φ: C2×C4/C22 → C2 ⊆ Out D1040D10.15(C2xC4)160,203
D10.16(C2×C4) = C2×C4⋊F5φ: C2×C4/C22 → C2 ⊆ Out D1040D10.16(C2xC4)160,204
D10.17(C2×C4) = D10.C23φ: C2×C4/C22 → C2 ⊆ Out D10404D10.17(C2xC4)160,205
D10.18(C2×C4) = D5×C42φ: trivial image80D10.18(C2xC4)160,92
D10.19(C2×C4) = D5×C4⋊C4φ: trivial image80D10.19(C2xC4)160,112
D10.20(C2×C4) = D5×C2×C8φ: trivial image80D10.20(C2xC4)160,120

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