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Extensions 1→N→G→Q→1 with N=C10 and Q=C4.D4

Direct product G=N×Q with N=C10 and Q=C4.D4
dρLabelID
C10×C4.D480C10xC4.D4320,912

Semidirect products G=N:Q with N=C10 and Q=C4.D4
extensionφ:Q→Aut NdρLabelID
C10⋊(C4.D4) = C2×C23.F5φ: C4.D4/C23 → C4 ⊆ Aut C1080C10:(C4.D4)320,1137
C10⋊2(C4.D4) = C2×C20.46D4φ: C4.D4/M4(2) → C2 ⊆ Aut C1080C10:2(C4.D4)320,757
C10⋊3(C4.D4) = C2×C20.D4φ: C4.D4/C2×D4 → C2 ⊆ Aut C1080C10:3(C4.D4)320,843

Non-split extensions G=N.Q with N=C10 and Q=C4.D4
extensionφ:Q→Aut NdρLabelID
C10.1(C4.D4) = C5⋊(C23⋊C8)φ: C4.D4/C23 → C4 ⊆ Aut C1080C10.1(C4.D4)320,253
C10.2(C4.D4) = C22.F5⋊C4φ: C4.D4/C23 → C4 ⊆ Aut C10160C10.2(C4.D4)320,257
C10.3(C4.D4) = (C2×D4).F5φ: C4.D4/C23 → C4 ⊆ Aut C10160C10.3(C4.D4)320,259
C10.4(C4.D4) = Dic5.SD16φ: C4.D4/C23 → C4 ⊆ Aut C10160C10.4(C4.D4)320,263
C10.5(C4.D4) = (C2×Q8).F5φ: C4.D4/C23 → C4 ⊆ Aut C10160C10.5(C4.D4)320,265
C10.6(C4.D4) = Dic5.Q16φ: C4.D4/C23 → C4 ⊆ Aut C10320C10.6(C4.D4)320,269
C10.7(C4.D4) = C24.F5φ: C4.D4/C23 → C4 ⊆ Aut C1080C10.7(C4.D4)320,271
C10.8(C4.D4) = C42.D10φ: C4.D4/M4(2) → C2 ⊆ Aut C10160C10.8(C4.D4)320,22
C10.9(C4.D4) = C5⋊3(C23⋊C8)φ: C4.D4/M4(2) → C2 ⊆ Aut C1080C10.9(C4.D4)320,26
C10.10(C4.D4) = C4.Dic20φ: C4.D4/M4(2) → C2 ⊆ Aut C10320C10.10(C4.D4)320,39
C10.11(C4.D4) = C4.D40φ: C4.D4/M4(2) → C2 ⊆ Aut C10160C10.11(C4.D4)320,43
C10.12(C4.D4) = M4(2)⋊Dic5φ: C4.D4/M4(2) → C2 ⊆ Aut C10160C10.12(C4.D4)320,112
C10.13(C4.D4) = C24.Dic5φ: C4.D4/C2×D4 → C2 ⊆ Aut C1080C10.13(C4.D4)320,83
C10.14(C4.D4) = (C2×C20).Q8φ: C4.D4/C2×D4 → C2 ⊆ Aut C10160C10.14(C4.D4)320,88
C10.15(C4.D4) = C42.7D10φ: C4.D4/C2×D4 → C2 ⊆ Aut C10160C10.15(C4.D4)320,98
C10.16(C4.D4) = C20.9D8φ: C4.D4/C2×D4 → C2 ⊆ Aut C10160C10.16(C4.D4)320,102
C10.17(C4.D4) = C20.5Q16φ: C4.D4/C2×D4 → C2 ⊆ Aut C10320C10.17(C4.D4)320,104
C10.18(C4.D4) = C5×C23⋊C8central extension (φ=1)80C10.18(C4.D4)320,128
C10.19(C4.D4) = C5×C42.C22central extension (φ=1)160C10.19(C4.D4)320,134
C10.20(C4.D4) = C5×C4.D8central extension (φ=1)160C10.20(C4.D4)320,136
C10.21(C4.D4) = C5×C4.6Q16central extension (φ=1)320C10.21(C4.D4)320,138
C10.22(C4.D4) = C5×C22.C42central extension (φ=1)160C10.22(C4.D4)320,148

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