Extensions 1→N→G→Q→1 with N=C10 and Q=C4≀C2

Direct product G=N×Q with N=C10 and Q=C4≀C2
dρLabelID
C10×C4≀C280C10xC4wrC2320,921

Semidirect products G=N:Q with N=C10 and Q=C4≀C2
extensionφ:Q→Aut NdρLabelID
C101C4≀C2 = C2×D4⋊F5φ: C4≀C2/D4C4 ⊆ Aut C1080C10:1C4wrC2320,1106
C102C4≀C2 = C2×Q82F5φ: C4≀C2/Q8C4 ⊆ Aut C1080C10:2C4wrC2320,1121
C103C4≀C2 = C2×D204C4φ: C4≀C2/C42C2 ⊆ Aut C1080C10:3C4wrC2320,554
C104C4≀C2 = C2×D207C4φ: C4≀C2/M4(2)C2 ⊆ Aut C1080C10:4C4wrC2320,765
C105C4≀C2 = C2×D42Dic5φ: C4≀C2/C4○D4C2 ⊆ Aut C1080C10:5C4wrC2320,862

Non-split extensions G=N.Q with N=C10 and Q=C4≀C2
extensionφ:Q→Aut NdρLabelID
C10.1C4≀C2 = D10.1Q16φ: C4≀C2/D4C4 ⊆ Aut C1080C10.1C4wrC2320,207
C10.2C4≀C2 = C10.C4≀C2φ: C4≀C2/D4C4 ⊆ Aut C10320C10.2C4wrC2320,208
C10.3C4≀C2 = Dic101C8φ: C4≀C2/D4C4 ⊆ Aut C10320C10.3C4wrC2320,210
C10.4C4≀C2 = D10.SD16φ: C4≀C2/D4C4 ⊆ Aut C1080C10.4C4wrC2320,258
C10.5C4≀C2 = (C2×D4).F5φ: C4≀C2/D4C4 ⊆ Aut C10160C10.5C4wrC2320,259
C10.6C4≀C2 = Dic5.23D8φ: C4≀C2/D4C4 ⊆ Aut C10160C10.6C4wrC2320,262
C10.7C4≀C2 = D10.1D8φ: C4≀C2/Q8C4 ⊆ Aut C1080C10.7C4wrC2320,206
C10.8C4≀C2 = D20⋊C8φ: C4≀C2/Q8C4 ⊆ Aut C10160C10.8C4wrC2320,209
C10.9C4≀C2 = C20.C42φ: C4≀C2/Q8C4 ⊆ Aut C1080C10.9C4wrC2320,213
C10.10C4≀C2 = D10.Q16φ: C4≀C2/Q8C4 ⊆ Aut C1080C10.10C4wrC2320,264
C10.11C4≀C2 = (C2×Q8).F5φ: C4≀C2/Q8C4 ⊆ Aut C10160C10.11C4wrC2320,265
C10.12C4≀C2 = Dic5.12Q16φ: C4≀C2/Q8C4 ⊆ Aut C10320C10.12C4wrC2320,268
C10.13C4≀C2 = (C2×D20)⋊C4φ: C4≀C2/C42C2 ⊆ Aut C1080C10.13C4wrC2320,9
C10.14C4≀C2 = C4⋊Dic5⋊C4φ: C4≀C2/C42C2 ⊆ Aut C1080C10.14C4wrC2320,10
C10.15C4≀C2 = Dic103C8φ: C4≀C2/C42C2 ⊆ Aut C10320C10.15C4wrC2320,14
C10.16C4≀C2 = D203C8φ: C4≀C2/C42C2 ⊆ Aut C10160C10.16C4wrC2320,17
C10.17C4≀C2 = C42.D10φ: C4≀C2/C42C2 ⊆ Aut C10160C10.17C4wrC2320,22
C10.18C4≀C2 = C42.2D10φ: C4≀C2/C42C2 ⊆ Aut C10320C10.18C4wrC2320,23
C10.19C4≀C2 = C426Dic5φ: C4≀C2/C42C2 ⊆ Aut C1080C10.19C4wrC2320,81
C10.20C4≀C2 = C23.30D20φ: C4≀C2/M4(2)C2 ⊆ Aut C1080C10.20C4wrC2320,25
C10.21C4≀C2 = C22.2D40φ: C4≀C2/M4(2)C2 ⊆ Aut C1080C10.21C4wrC2320,28
C10.22C4≀C2 = D204C8φ: C4≀C2/M4(2)C2 ⊆ Aut C10160C10.22C4wrC2320,41
C10.23C4≀C2 = Dic104C8φ: C4≀C2/M4(2)C2 ⊆ Aut C10320C10.23C4wrC2320,42
C10.24C4≀C2 = C20.33C42φ: C4≀C2/M4(2)C2 ⊆ Aut C1080C10.24C4wrC2320,113
C10.25C4≀C2 = C20.32C42φ: C4≀C2/C4○D4C2 ⊆ Aut C1080C10.25C4wrC2320,90
C10.26C4≀C2 = C20.57D8φ: C4≀C2/C4○D4C2 ⊆ Aut C10160C10.26C4wrC2320,92
C10.27C4≀C2 = C20.26Q16φ: C4≀C2/C4○D4C2 ⊆ Aut C10320C10.27C4wrC2320,93
C10.28C4≀C2 = C4⋊C4⋊Dic5φ: C4≀C2/C4○D4C2 ⊆ Aut C1080C10.28C4wrC2320,95
C10.29C4≀C2 = C10.29C4≀C2φ: C4≀C2/C4○D4C2 ⊆ Aut C1080C10.29C4wrC2320,96
C10.30C4≀C2 = C42.7D10φ: C4≀C2/C4○D4C2 ⊆ Aut C10160C10.30C4wrC2320,98
C10.31C4≀C2 = C42.8D10φ: C4≀C2/C4○D4C2 ⊆ Aut C10320C10.31C4wrC2320,101
C10.32C4≀C2 = C5×D4⋊C8central extension (φ=1)160C10.32C4wrC2320,130
C10.33C4≀C2 = C5×Q8⋊C8central extension (φ=1)320C10.33C4wrC2320,131
C10.34C4≀C2 = C5×C22.SD16central extension (φ=1)80C10.34C4wrC2320,132
C10.35C4≀C2 = C5×C23.31D4central extension (φ=1)80C10.35C4wrC2320,133
C10.36C4≀C2 = C5×C42.C22central extension (φ=1)160C10.36C4wrC2320,134
C10.37C4≀C2 = C5×C42.2C22central extension (φ=1)320C10.37C4wrC2320,135
C10.38C4≀C2 = C5×C426C4central extension (φ=1)80C10.38C4wrC2320,144

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