Extensions 1→N→G→Q→1 with N=C10 and Q=C8:C4

Direct product G=NxQ with N=C10 and Q=C8:C4
dρLabelID
C10xC8:C4320C10xC8:C4320,904

Semidirect products G=N:Q with N=C10 and Q=C8:C4
extensionφ:Q→Aut NdρLabelID
C10:1(C8:C4) = C2xC8:F5φ: C8:C4/C8C4 ⊆ Aut C1080C10:1(C8:C4)320,1055
C10:2(C8:C4) = C2xC10.C42φ: C8:C4/C2xC4C4 ⊆ Aut C10320C10:2(C8:C4)320,1087
C10:3(C8:C4) = C2xC42.D5φ: C8:C4/C42C2 ⊆ Aut C10320C10:3(C8:C4)320,548
C10:4(C8:C4) = C2xC40:8C4φ: C8:C4/C2xC8C2 ⊆ Aut C10320C10:4(C8:C4)320,727

Non-split extensions G=N.Q with N=C10 and Q=C8:C4
extensionφ:Q→Aut NdρLabelID
C10.1(C8:C4) = C16:F5φ: C8:C4/C8C4 ⊆ Aut C10804C10.1(C8:C4)320,183
C10.2(C8:C4) = C16:4F5φ: C8:C4/C8C4 ⊆ Aut C10804C10.2(C8:C4)320,184
C10.3(C8:C4) = C40:C8φ: C8:C4/C8C4 ⊆ Aut C10320C10.3(C8:C4)320,217
C10.4(C8:C4) = D10.3M4(2)φ: C8:C4/C8C4 ⊆ Aut C1080C10.4(C8:C4)320,230
C10.5(C8:C4) = C42.3F5φ: C8:C4/C2xC4C4 ⊆ Aut C10804C10.5(C8:C4)320,198
C10.6(C8:C4) = C20.31M4(2)φ: C8:C4/C2xC4C4 ⊆ Aut C10320C10.6(C8:C4)320,218
C10.7(C8:C4) = C20.23C42φ: C8:C4/C2xC4C4 ⊆ Aut C10804C10.7(C8:C4)320,228
C10.8(C8:C4) = C10.(C4:C8)φ: C8:C4/C2xC4C4 ⊆ Aut C10320C10.8(C8:C4)320,256
C10.9(C8:C4) = C42.279D10φ: C8:C4/C42C2 ⊆ Aut C10320C10.9(C8:C4)320,12
C10.10(C8:C4) = C20.45C42φ: C8:C4/C42C2 ⊆ Aut C10804C10.10(C8:C4)320,24
C10.11(C8:C4) = (C2xC20):8C8φ: C8:C4/C42C2 ⊆ Aut C10320C10.11(C8:C4)320,82
C10.12(C8:C4) = C40:8C8φ: C8:C4/C2xC8C2 ⊆ Aut C10320C10.12(C8:C4)320,13
C10.13(C8:C4) = C80:C4φ: C8:C4/C2xC8C2 ⊆ Aut C10804C10.13(C8:C4)320,70
C10.14(C8:C4) = (C2xC40):15C4φ: C8:C4/C2xC8C2 ⊆ Aut C10320C10.14(C8:C4)320,108
C10.15(C8:C4) = C5xC8:C8central extension (φ=1)320C10.15(C8:C4)320,127
C10.16(C8:C4) = C5xC22.7C42central extension (φ=1)320C10.16(C8:C4)320,141
C10.17(C8:C4) = C5xC16:C4central extension (φ=1)804C10.17(C8:C4)320,152

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