Extensions 1→N→G→Q→1 with N=C4 and Q=C22×C20

Direct product G=N×Q with N=C4 and Q=C22×C20
dρLabelID
C22×C4×C20320C2^2xC4xC20320,1513

Semidirect products G=N:Q with N=C4 and Q=C22×C20
extensionφ:Q→Aut NdρLabelID
C41(C22×C20) = D4×C2×C20φ: C22×C20/C2×C20C2 ⊆ Aut C4160C4:1(C2^2xC20)320,1517
C42(C22×C20) = C4⋊C4×C2×C10φ: C22×C20/C22×C10C2 ⊆ Aut C4320C4:2(C2^2xC20)320,1515

Non-split extensions G=N.Q with N=C4 and Q=C22×C20
extensionφ:Q→Aut NdρLabelID
C4.1(C22×C20) = C10×D4⋊C4φ: C22×C20/C2×C20C2 ⊆ Aut C4160C4.1(C2^2xC20)320,915
C4.2(C22×C20) = C10×Q8⋊C4φ: C22×C20/C2×C20C2 ⊆ Aut C4320C4.2(C2^2xC20)320,916
C4.3(C22×C20) = C5×C23.24D4φ: C22×C20/C2×C20C2 ⊆ Aut C4160C4.3(C2^2xC20)320,917
C4.4(C22×C20) = C5×C23.36D4φ: C22×C20/C2×C20C2 ⊆ Aut C4160C4.4(C2^2xC20)320,918
C4.5(C22×C20) = C5×C23.37D4φ: C22×C20/C2×C20C2 ⊆ Aut C480C4.5(C2^2xC20)320,919
C4.6(C22×C20) = C5×C23.38D4φ: C22×C20/C2×C20C2 ⊆ Aut C4160C4.6(C2^2xC20)320,920
C4.7(C22×C20) = C10×C4≀C2φ: C22×C20/C2×C20C2 ⊆ Aut C480C4.7(C2^2xC20)320,921
C4.8(C22×C20) = C5×C42⋊C22φ: C22×C20/C2×C20C2 ⊆ Aut C4804C4.8(C2^2xC20)320,922
C4.9(C22×C20) = D8×C20φ: C22×C20/C2×C20C2 ⊆ Aut C4160C4.9(C2^2xC20)320,938
C4.10(C22×C20) = SD16×C20φ: C22×C20/C2×C20C2 ⊆ Aut C4160C4.10(C2^2xC20)320,939
C4.11(C22×C20) = Q16×C20φ: C22×C20/C2×C20C2 ⊆ Aut C4320C4.11(C2^2xC20)320,940
C4.12(C22×C20) = C5×SD16⋊C4φ: C22×C20/C2×C20C2 ⊆ Aut C4160C4.12(C2^2xC20)320,941
C4.13(C22×C20) = C5×Q16⋊C4φ: C22×C20/C2×C20C2 ⊆ Aut C4320C4.13(C2^2xC20)320,942
C4.14(C22×C20) = C5×D8⋊C4φ: C22×C20/C2×C20C2 ⊆ Aut C4160C4.14(C2^2xC20)320,943
C4.15(C22×C20) = C5×C8○D8φ: C22×C20/C2×C20C2 ⊆ Aut C4802C4.15(C2^2xC20)320,944
C4.16(C22×C20) = C5×C8.26D4φ: C22×C20/C2×C20C2 ⊆ Aut C4804C4.16(C2^2xC20)320,945
C4.17(C22×C20) = Q8×C2×C20φ: C22×C20/C2×C20C2 ⊆ Aut C4320C4.17(C2^2xC20)320,1518
C4.18(C22×C20) = C4○D4×C20φ: C22×C20/C2×C20C2 ⊆ Aut C4160C4.18(C2^2xC20)320,1519
C4.19(C22×C20) = C5×C22.11C24φ: C22×C20/C2×C20C2 ⊆ Aut C480C4.19(C2^2xC20)320,1520
C4.20(C22×C20) = C5×C23.32C23φ: C22×C20/C2×C20C2 ⊆ Aut C4160C4.20(C2^2xC20)320,1521
C4.21(C22×C20) = C5×C23.33C23φ: C22×C20/C2×C20C2 ⊆ Aut C4160C4.21(C2^2xC20)320,1522
C4.22(C22×C20) = C10×C8○D4φ: C22×C20/C2×C20C2 ⊆ Aut C4160C4.22(C2^2xC20)320,1569
C4.23(C22×C20) = C5×Q8○M4(2)φ: C22×C20/C2×C20C2 ⊆ Aut C4804C4.23(C2^2xC20)320,1570
C4.24(C22×C20) = C10×C4.Q8φ: C22×C20/C22×C10C2 ⊆ Aut C4320C4.24(C2^2xC20)320,926
C4.25(C22×C20) = C10×C2.D8φ: C22×C20/C22×C10C2 ⊆ Aut C4320C4.25(C2^2xC20)320,927
C4.26(C22×C20) = C5×C23.25D4φ: C22×C20/C22×C10C2 ⊆ Aut C4160C4.26(C2^2xC20)320,928
C4.27(C22×C20) = C5×M4(2)⋊C4φ: C22×C20/C22×C10C2 ⊆ Aut C4160C4.27(C2^2xC20)320,929
C4.28(C22×C20) = C10×C8.C4φ: C22×C20/C22×C10C2 ⊆ Aut C4160C4.28(C2^2xC20)320,930
C4.29(C22×C20) = C5×M4(2).C4φ: C22×C20/C22×C10C2 ⊆ Aut C4804C4.29(C2^2xC20)320,931
C4.30(C22×C20) = C10×C42⋊C2φ: C22×C20/C22×C10C2 ⊆ Aut C4160C4.30(C2^2xC20)320,1516
C4.31(C22×C20) = M4(2)×C2×C10φ: C22×C20/C22×C10C2 ⊆ Aut C4160C4.31(C2^2xC20)320,1568
C4.32(C22×C20) = C10×C8⋊C4central extension (φ=1)320C4.32(C2^2xC20)320,904
C4.33(C22×C20) = M4(2)×C20central extension (φ=1)160C4.33(C2^2xC20)320,905
C4.34(C22×C20) = C5×C82M4(2)central extension (φ=1)160C4.34(C2^2xC20)320,906
C4.35(C22×C20) = C10×M5(2)central extension (φ=1)160C4.35(C2^2xC20)320,1004
C4.36(C22×C20) = C5×D4○C16central extension (φ=1)1602C4.36(C2^2xC20)320,1005

׿
×
𝔽