Extensions 1→N→G→Q→1 with N=C4 and Q=C5xD4

Direct product G=NxQ with N=C4 and Q=C5xD4
dρLabelID
D4xC2080D4xC20160,179

Semidirect products G=N:Q with N=C4 and Q=C5xD4
extensionφ:Q→Aut NdρLabelID
C4:1(C5xD4) = C5xC4:1D4φ: C5xD4/C20C2 ⊆ Aut C480C4:1(C5xD4)160,188
C4:2(C5xD4) = C5xC4:D4φ: C5xD4/C2xC10C2 ⊆ Aut C480C4:2(C5xD4)160,182

Non-split extensions G=N.Q with N=C4 and Q=C5xD4
extensionφ:Q→Aut NdρLabelID
C4.1(C5xD4) = C5xD16φ: C5xD4/C20C2 ⊆ Aut C4802C4.1(C5xD4)160,61
C4.2(C5xD4) = C5xSD32φ: C5xD4/C20C2 ⊆ Aut C4802C4.2(C5xD4)160,62
C4.3(C5xD4) = C5xQ32φ: C5xD4/C20C2 ⊆ Aut C41602C4.3(C5xD4)160,63
C4.4(C5xD4) = C5xC4.4D4φ: C5xD4/C20C2 ⊆ Aut C480C4.4(C5xD4)160,185
C4.5(C5xD4) = C5xC4:Q8φ: C5xD4/C20C2 ⊆ Aut C4160C4.5(C5xD4)160,189
C4.6(C5xD4) = C10xD8φ: C5xD4/C20C2 ⊆ Aut C480C4.6(C5xD4)160,193
C4.7(C5xD4) = C10xSD16φ: C5xD4/C20C2 ⊆ Aut C480C4.7(C5xD4)160,194
C4.8(C5xD4) = C10xQ16φ: C5xD4/C20C2 ⊆ Aut C4160C4.8(C5xD4)160,195
C4.9(C5xD4) = C5xC4.D4φ: C5xD4/C2xC10C2 ⊆ Aut C4404C4.9(C5xD4)160,50
C4.10(C5xD4) = C5xC4.10D4φ: C5xD4/C2xC10C2 ⊆ Aut C4804C4.10(C5xD4)160,51
C4.11(C5xD4) = C5xD4:C4φ: C5xD4/C2xC10C2 ⊆ Aut C480C4.11(C5xD4)160,52
C4.12(C5xD4) = C5xQ8:C4φ: C5xD4/C2xC10C2 ⊆ Aut C4160C4.12(C5xD4)160,53
C4.13(C5xD4) = C5xC22:Q8φ: C5xD4/C2xC10C2 ⊆ Aut C480C4.13(C5xD4)160,183
C4.14(C5xD4) = C5xC8:C22φ: C5xD4/C2xC10C2 ⊆ Aut C4404C4.14(C5xD4)160,197
C4.15(C5xD4) = C5xC8.C22φ: C5xD4/C2xC10C2 ⊆ Aut C4804C4.15(C5xD4)160,198
C4.16(C5xD4) = C5xC22:C8central extension (φ=1)80C4.16(C5xD4)160,48
C4.17(C5xD4) = C5xC4wrC2central extension (φ=1)402C4.17(C5xD4)160,54
C4.18(C5xD4) = C5xC4:C8central extension (φ=1)160C4.18(C5xD4)160,55
C4.19(C5xD4) = C5xC8.C4central extension (φ=1)802C4.19(C5xD4)160,58
C4.20(C5xD4) = C5xC4oD8central extension (φ=1)802C4.20(C5xD4)160,196

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