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Extensions 1→N→G→Q→1 with N=C4 and Q=C5×C22⋊C4

Direct product G=N×Q with N=C4 and Q=C5×C22⋊C4
dρLabelID
C22⋊C4×C20160C2^2:C4xC20320,878

Semidirect products G=N:Q with N=C4 and Q=C5×C22⋊C4
extensionφ:Q→Aut NdρLabelID
C4⋊1(C5×C22⋊C4) = C5×C24.3C22φ: C5×C22⋊C4/C2×C20 → C2 ⊆ Aut C4160C4:1(C5xC2^2:C4)320,891
C4⋊2(C5×C22⋊C4) = C5×C23.7Q8φ: C5×C22⋊C4/C22×C10 → C2 ⊆ Aut C4160C4:2(C5xC2^2:C4)320,881

Non-split extensions G=N.Q with N=C4 and Q=C5×C22⋊C4
extensionφ:Q→Aut NdρLabelID
C4.1(C5×C22⋊C4) = C5×C2.D16φ: C5×C22⋊C4/C2×C20 → C2 ⊆ Aut C4160C4.1(C5xC2^2:C4)320,162
C4.2(C5×C22⋊C4) = C5×C2.Q32φ: C5×C22⋊C4/C2×C20 → C2 ⊆ Aut C4320C4.2(C5xC2^2:C4)320,163
C4.3(C5×C22⋊C4) = C5×D8.C4φ: C5×C22⋊C4/C2×C20 → C2 ⊆ Aut C41602C4.3(C5xC2^2:C4)320,164
C4.4(C5×C22⋊C4) = C5×D8⋊2C4φ: C5×C22⋊C4/C2×C20 → C2 ⊆ Aut C4804C4.4(C5xC2^2:C4)320,165
C4.5(C5×C22⋊C4) = C5×M5(2)⋊C2φ: C5×C22⋊C4/C2×C20 → C2 ⊆ Aut C4804C4.5(C5xC2^2:C4)320,166
C4.6(C5×C22⋊C4) = C5×C8.17D4φ: C5×C22⋊C4/C2×C20 → C2 ⊆ Aut C41604C4.6(C5xC2^2:C4)320,167
C4.7(C5×C22⋊C4) = C5×C23.67C23φ: C5×C22⋊C4/C2×C20 → C2 ⊆ Aut C4320C4.7(C5xC2^2:C4)320,892
C4.8(C5×C22⋊C4) = C5×(C22×C8)⋊C2φ: C5×C22⋊C4/C2×C20 → C2 ⊆ Aut C4160C4.8(C5xC2^2:C4)320,909
C4.9(C5×C22⋊C4) = C5×C23.C23φ: C5×C22⋊C4/C2×C20 → C2 ⊆ Aut C4804C4.9(C5xC2^2:C4)320,911
C4.10(C5×C22⋊C4) = C10×C4.D4φ: C5×C22⋊C4/C2×C20 → C2 ⊆ Aut C480C4.10(C5xC2^2:C4)320,912
C4.11(C5×C22⋊C4) = C10×C4.10D4φ: C5×C22⋊C4/C2×C20 → C2 ⊆ Aut C4160C4.11(C5xC2^2:C4)320,913
C4.12(C5×C22⋊C4) = C10×D4⋊C4φ: C5×C22⋊C4/C2×C20 → C2 ⊆ Aut C4160C4.12(C5xC2^2:C4)320,915
C4.13(C5×C22⋊C4) = C10×Q8⋊C4φ: C5×C22⋊C4/C2×C20 → C2 ⊆ Aut C4320C4.13(C5xC2^2:C4)320,916
C4.14(C5×C22⋊C4) = C5×C23.37D4φ: C5×C22⋊C4/C2×C20 → C2 ⊆ Aut C480C4.14(C5xC2^2:C4)320,919
C4.15(C5×C22⋊C4) = C5×C23.38D4φ: C5×C22⋊C4/C2×C20 → C2 ⊆ Aut C4160C4.15(C5xC2^2:C4)320,920
C4.16(C5×C22⋊C4) = C5×C42⋊C22φ: C5×C22⋊C4/C2×C20 → C2 ⊆ Aut C4804C4.16(C5xC2^2:C4)320,922
C4.17(C5×C22⋊C4) = C5×C4.9C42φ: C5×C22⋊C4/C22×C10 → C2 ⊆ Aut C4804C4.17(C5xC2^2:C4)320,142
C4.18(C5×C22⋊C4) = C5×C4.10C42φ: C5×C22⋊C4/C22×C10 → C2 ⊆ Aut C4804C4.18(C5xC2^2:C4)320,143
C4.19(C5×C22⋊C4) = C5×C22.4Q16φ: C5×C22⋊C4/C22×C10 → C2 ⊆ Aut C4320C4.19(C5xC2^2:C4)320,145
C4.20(C5×C22⋊C4) = C5×C22.C42φ: C5×C22⋊C4/C22×C10 → C2 ⊆ Aut C4160C4.20(C5xC2^2:C4)320,148
C4.21(C5×C22⋊C4) = C5×C24.4C4φ: C5×C22⋊C4/C22×C10 → C2 ⊆ Aut C480C4.21(C5xC2^2:C4)320,908
C4.22(C5×C22⋊C4) = C5×M4(2).8C22φ: C5×C22⋊C4/C22×C10 → C2 ⊆ Aut C4804C4.22(C5xC2^2:C4)320,914
C4.23(C5×C22⋊C4) = C5×C23.36D4φ: C5×C22⋊C4/C22×C10 → C2 ⊆ Aut C4160C4.23(C5xC2^2:C4)320,918
C4.24(C5×C22⋊C4) = C5×C22.7C42central extension (φ=1)320C4.24(C5xC2^2:C4)320,141
C4.25(C5×C22⋊C4) = C5×C42⋊6C4central extension (φ=1)80C4.25(C5xC2^2:C4)320,144
C4.26(C5×C22⋊C4) = C5×C4.C42central extension (φ=1)160C4.26(C5xC2^2:C4)320,146
C4.27(C5×C22⋊C4) = C5×M4(2)⋊4C4central extension (φ=1)804C4.27(C5xC2^2:C4)320,149
C4.28(C5×C22⋊C4) = C5×C22⋊C16central extension (φ=1)160C4.28(C5xC2^2:C4)320,153
C4.29(C5×C22⋊C4) = C5×C23.C8central extension (φ=1)804C4.29(C5xC2^2:C4)320,154
C4.30(C5×C22⋊C4) = C5×D4.C8central extension (φ=1)1602C4.30(C5xC2^2:C4)320,155
C4.31(C5×C22⋊C4) = C10×C22⋊C8central extension (φ=1)160C4.31(C5xC2^2:C4)320,907
C4.32(C5×C22⋊C4) = C5×C23.24D4central extension (φ=1)160C4.32(C5xC2^2:C4)320,917
C4.33(C5×C22⋊C4) = C10×C4≀C2central extension (φ=1)80C4.33(C5xC2^2:C4)320,921

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