# Extensions 1→N→G→Q→1 with N=Dic13 and Q=C2×C4

Direct product G=N×Q with N=Dic13 and Q=C2×C4
dρLabelID
C2×C4×Dic13416C2xC4xDic13416,143

Semidirect products G=N:Q with N=Dic13 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
Dic13⋊(C2×C4) = D4×C13⋊C4φ: C2×C4/C2C22 ⊆ Out Dic13528+Dic13:(C2xC4)416,206
Dic132(C2×C4) = Dic134D4φ: C2×C4/C4C2 ⊆ Out Dic13208Dic13:2(C2xC4)416,102
Dic133(C2×C4) = C4×C13⋊D4φ: C2×C4/C4C2 ⊆ Out Dic13208Dic13:3(C2xC4)416,149
Dic134(C2×C4) = C4⋊C4×D13φ: C2×C4/C22C2 ⊆ Out Dic13208Dic13:4(C2xC4)416,112
Dic135(C2×C4) = C2×C26.D4φ: C2×C4/C22C2 ⊆ Out Dic13416Dic13:5(C2xC4)416,144
Dic136(C2×C4) = C2×C4×C13⋊C4φ: C2×C4/C22C2 ⊆ Out Dic13104Dic13:6(C2xC4)416,202
Dic137(C2×C4) = C2×C52⋊C4φ: C2×C4/C22C2 ⊆ Out Dic13104Dic13:7(C2xC4)416,203
Dic138(C2×C4) = C42×D13φ: trivial image208Dic13:8(C2xC4)416,92

Non-split extensions G=N.Q with N=Dic13 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
Dic13.1(C2×C4) = Dic26.C4φ: C2×C4/C2C22 ⊆ Out Dic132088-Dic13.1(C2xC4)416,205
Dic13.2(C2×C4) = Q8×C13⋊C4φ: C2×C4/C2C22 ⊆ Out Dic131048-Dic13.2(C2xC4)416,208
Dic13.3(C2×C4) = C4×Dic26φ: C2×C4/C4C2 ⊆ Out Dic13416Dic13.3(C2xC4)416,89
Dic13.4(C2×C4) = Dic133Q8φ: C2×C4/C4C2 ⊆ Out Dic13416Dic13.4(C2xC4)416,108
Dic13.5(C2×C4) = D52.3C4φ: C2×C4/C4C2 ⊆ Out Dic132082Dic13.5(C2xC4)416,122
Dic13.6(C2×C4) = D52.2C4φ: C2×C4/C4C2 ⊆ Out Dic132084Dic13.6(C2xC4)416,128
Dic13.7(C2×C4) = C8×C13⋊C4φ: C2×C4/C4C2 ⊆ Out Dic131044Dic13.7(C2xC4)416,66
Dic13.8(C2×C4) = C104⋊C4φ: C2×C4/C4C2 ⊆ Out Dic131044Dic13.8(C2xC4)416,67
Dic13.9(C2×C4) = C4×C13⋊C8φ: C2×C4/C4C2 ⊆ Out Dic13416Dic13.9(C2xC4)416,75
Dic13.10(C2×C4) = C26.C42φ: C2×C4/C4C2 ⊆ Out Dic13416Dic13.10(C2xC4)416,77
Dic13.11(C2×C4) = C42⋊D13φ: C2×C4/C22C2 ⊆ Out Dic13208Dic13.11(C2xC4)416,93
Dic13.12(C2×C4) = C2×C8⋊D13φ: C2×C4/C22C2 ⊆ Out Dic13208Dic13.12(C2xC4)416,121
Dic13.13(C2×C4) = M4(2)×D13φ: C2×C4/C22C2 ⊆ Out Dic131044Dic13.13(C2xC4)416,127
Dic13.14(C2×C4) = C2×D13⋊C8φ: C2×C4/C22C2 ⊆ Out Dic13208Dic13.14(C2xC4)416,199
Dic13.15(C2×C4) = C2×C52.C4φ: C2×C4/C22C2 ⊆ Out Dic13208Dic13.15(C2xC4)416,200
Dic13.16(C2×C4) = D13⋊M4(2)φ: C2×C4/C22C2 ⊆ Out Dic131044Dic13.16(C2xC4)416,201
Dic13.17(C2×C4) = D26.C23φ: C2×C4/C22C2 ⊆ Out Dic131044Dic13.17(C2xC4)416,204
Dic13.18(C2×C4) = C22×C13⋊C8φ: C2×C4/C22C2 ⊆ Out Dic13416Dic13.18(C2xC4)416,209
Dic13.19(C2×C4) = C2×C13⋊M4(2)φ: C2×C4/C22C2 ⊆ Out Dic13208Dic13.19(C2xC4)416,210
Dic13.20(C2×C4) = C23.11D26φ: trivial image208Dic13.20(C2xC4)416,98
Dic13.21(C2×C4) = C4⋊C47D13φ: trivial image208Dic13.21(C2xC4)416,113
Dic13.22(C2×C4) = C2×C8×D13φ: trivial image208Dic13.22(C2xC4)416,120

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