# Extensions 1→N→G→Q→1 with N=Dic5 and Q=C2×C4

Direct product G=N×Q with N=Dic5 and Q=C2×C4
dρLabelID
C2×C4×Dic5160C2xC4xDic5160,143

Semidirect products G=N:Q with N=Dic5 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
Dic5⋊(C2×C4) = D4×F5φ: C2×C4/C2C22 ⊆ Out Dic5208+Dic5:(C2xC4)160,207
Dic52(C2×C4) = Dic54D4φ: C2×C4/C4C2 ⊆ Out Dic580Dic5:2(C2xC4)160,102
Dic53(C2×C4) = C4×C5⋊D4φ: C2×C4/C4C2 ⊆ Out Dic580Dic5:3(C2xC4)160,149
Dic54(C2×C4) = D5×C4⋊C4φ: C2×C4/C22C2 ⊆ Out Dic580Dic5:4(C2xC4)160,112
Dic55(C2×C4) = C2×C10.D4φ: C2×C4/C22C2 ⊆ Out Dic5160Dic5:5(C2xC4)160,144
Dic56(C2×C4) = C2×C4×F5φ: C2×C4/C22C2 ⊆ Out Dic540Dic5:6(C2xC4)160,203
Dic57(C2×C4) = C2×C4⋊F5φ: C2×C4/C22C2 ⊆ Out Dic540Dic5:7(C2xC4)160,204
Dic58(C2×C4) = D5×C42φ: trivial image80Dic5:8(C2xC4)160,92

Non-split extensions G=N.Q with N=Dic5 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
Dic5.1(C2×C4) = D4.F5φ: C2×C4/C2C22 ⊆ Out Dic5808-Dic5.1(C2xC4)160,206
Dic5.2(C2×C4) = Q8×F5φ: C2×C4/C2C22 ⊆ Out Dic5408-Dic5.2(C2xC4)160,209
Dic5.3(C2×C4) = C4×Dic10φ: C2×C4/C4C2 ⊆ Out Dic5160Dic5.3(C2xC4)160,89
Dic5.4(C2×C4) = Dic53Q8φ: C2×C4/C4C2 ⊆ Out Dic5160Dic5.4(C2xC4)160,108
Dic5.5(C2×C4) = D20.3C4φ: C2×C4/C4C2 ⊆ Out Dic5802Dic5.5(C2xC4)160,122
Dic5.6(C2×C4) = D20.2C4φ: C2×C4/C4C2 ⊆ Out Dic5804Dic5.6(C2xC4)160,128
Dic5.7(C2×C4) = C8×F5φ: C2×C4/C4C2 ⊆ Out Dic5404Dic5.7(C2xC4)160,66
Dic5.8(C2×C4) = C8⋊F5φ: C2×C4/C4C2 ⊆ Out Dic5404Dic5.8(C2xC4)160,67
Dic5.9(C2×C4) = C4×C5⋊C8φ: C2×C4/C4C2 ⊆ Out Dic5160Dic5.9(C2xC4)160,75
Dic5.10(C2×C4) = C10.C42φ: C2×C4/C4C2 ⊆ Out Dic5160Dic5.10(C2xC4)160,77
Dic5.11(C2×C4) = C42⋊D5φ: C2×C4/C22C2 ⊆ Out Dic580Dic5.11(C2xC4)160,93
Dic5.12(C2×C4) = C2×C8⋊D5φ: C2×C4/C22C2 ⊆ Out Dic580Dic5.12(C2xC4)160,121
Dic5.13(C2×C4) = D5×M4(2)φ: C2×C4/C22C2 ⊆ Out Dic5404Dic5.13(C2xC4)160,127
Dic5.14(C2×C4) = C2×D5⋊C8φ: C2×C4/C22C2 ⊆ Out Dic580Dic5.14(C2xC4)160,200
Dic5.15(C2×C4) = C2×C4.F5φ: C2×C4/C22C2 ⊆ Out Dic580Dic5.15(C2xC4)160,201
Dic5.16(C2×C4) = D5⋊M4(2)φ: C2×C4/C22C2 ⊆ Out Dic5404Dic5.16(C2xC4)160,202
Dic5.17(C2×C4) = D10.C23φ: C2×C4/C22C2 ⊆ Out Dic5404Dic5.17(C2xC4)160,205
Dic5.18(C2×C4) = C22×C5⋊C8φ: C2×C4/C22C2 ⊆ Out Dic5160Dic5.18(C2xC4)160,210
Dic5.19(C2×C4) = C2×C22.F5φ: C2×C4/C22C2 ⊆ Out Dic580Dic5.19(C2xC4)160,211
Dic5.20(C2×C4) = C23.11D10φ: trivial image80Dic5.20(C2xC4)160,98
Dic5.21(C2×C4) = C4⋊C47D5φ: trivial image80Dic5.21(C2xC4)160,113
Dic5.22(C2×C4) = D5×C2×C8φ: trivial image80Dic5.22(C2xC4)160,120

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