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

Direct product G=N×Q with N=C22 and Q=C5×C22⋊C4
dρLabelID
C22⋊C4×C2×C10160C2^2:C4xC2xC10320,1514

Semidirect products G=N:Q with N=C22 and Q=C5×C22⋊C4
extensionφ:Q→Aut NdρLabelID
C22⋊1(C5×C22⋊C4) = C5×C23.23D4φ: C5×C22⋊C4/C2×C20 → C2 ⊆ Aut C22160C2^2:1(C5xC2^2:C4)320,887
C22⋊2(C5×C22⋊C4) = C5×C24⋊3C4φ: C5×C22⋊C4/C22×C10 → C2 ⊆ Aut C2280C2^2:2(C5xC2^2:C4)320,880

Non-split extensions G=N.Q with N=C22 and Q=C5×C22⋊C4
extensionφ:Q→Aut NdρLabelID
C22.1(C5×C22⋊C4) = C5×(C22×C8)⋊C2φ: C5×C22⋊C4/C2×C20 → C2 ⊆ Aut C22160C2^2.1(C5xC2^2:C4)320,909
C22.2(C5×C22⋊C4) = C10×C23⋊C4φ: C5×C22⋊C4/C2×C20 → C2 ⊆ Aut C2280C2^2.2(C5xC2^2:C4)320,910
C22.3(C5×C22⋊C4) = C5×M4(2).8C22φ: C5×C22⋊C4/C2×C20 → C2 ⊆ Aut C22804C2^2.3(C5xC2^2:C4)320,914
C22.4(C5×C22⋊C4) = C5×C23.24D4φ: C5×C22⋊C4/C2×C20 → C2 ⊆ Aut C22160C2^2.4(C5xC2^2:C4)320,917
C22.5(C5×C22⋊C4) = C5×C23.36D4φ: C5×C22⋊C4/C2×C20 → C2 ⊆ Aut C22160C2^2.5(C5xC2^2:C4)320,918
C22.6(C5×C22⋊C4) = C10×C4≀C2φ: C5×C22⋊C4/C2×C20 → C2 ⊆ Aut C2280C2^2.6(C5xC2^2:C4)320,921
C22.7(C5×C22⋊C4) = C5×C4.9C42φ: C5×C22⋊C4/C22×C10 → C2 ⊆ Aut C22804C2^2.7(C5xC2^2:C4)320,142
C22.8(C5×C22⋊C4) = C5×C23.9D4φ: C5×C22⋊C4/C22×C10 → C2 ⊆ Aut C2280C2^2.8(C5xC2^2:C4)320,147
C22.9(C5×C22⋊C4) = C5×M4(2)⋊4C4φ: C5×C22⋊C4/C22×C10 → C2 ⊆ Aut C22804C2^2.9(C5xC2^2:C4)320,149
C22.10(C5×C22⋊C4) = C5×C2≀C4φ: C5×C22⋊C4/C22×C10 → C2 ⊆ Aut C22404C2^2.10(C5xC2^2:C4)320,156
C22.11(C5×C22⋊C4) = C5×C23.D4φ: C5×C22⋊C4/C22×C10 → C2 ⊆ Aut C22804C2^2.11(C5xC2^2:C4)320,157
C22.12(C5×C22⋊C4) = C5×C42⋊C4φ: C5×C22⋊C4/C22×C10 → C2 ⊆ Aut C22404C2^2.12(C5xC2^2:C4)320,158
C22.13(C5×C22⋊C4) = C5×C42⋊3C4φ: C5×C22⋊C4/C22×C10 → C2 ⊆ Aut C22804C2^2.13(C5xC2^2:C4)320,159
C22.14(C5×C22⋊C4) = C5×C42.C4φ: C5×C22⋊C4/C22×C10 → C2 ⊆ Aut C22804C2^2.14(C5xC2^2:C4)320,160
C22.15(C5×C22⋊C4) = C5×C42.3C4φ: C5×C22⋊C4/C22×C10 → C2 ⊆ Aut C22804C2^2.15(C5xC2^2:C4)320,161
C22.16(C5×C22⋊C4) = C5×C23.34D4φ: C5×C22⋊C4/C22×C10 → C2 ⊆ Aut C22160C2^2.16(C5xC2^2:C4)320,882
C22.17(C5×C22⋊C4) = C5×C24.4C4φ: C5×C22⋊C4/C22×C10 → C2 ⊆ Aut C2280C2^2.17(C5xC2^2:C4)320,908
C22.18(C5×C22⋊C4) = C10×C4.D4φ: C5×C22⋊C4/C22×C10 → C2 ⊆ Aut C2280C2^2.18(C5xC2^2:C4)320,912
C22.19(C5×C22⋊C4) = C10×C4.10D4φ: C5×C22⋊C4/C22×C10 → C2 ⊆ Aut C22160C2^2.19(C5xC2^2:C4)320,913
C22.20(C5×C22⋊C4) = C5×C23.37D4φ: C5×C22⋊C4/C22×C10 → C2 ⊆ Aut C2280C2^2.20(C5xC2^2:C4)320,919
C22.21(C5×C22⋊C4) = C5×C23.38D4φ: C5×C22⋊C4/C22×C10 → C2 ⊆ Aut C22160C2^2.21(C5xC2^2:C4)320,920
C22.22(C5×C22⋊C4) = C5×C42⋊C22φ: C5×C22⋊C4/C22×C10 → C2 ⊆ Aut C22804C2^2.22(C5xC2^2:C4)320,922
C22.23(C5×C22⋊C4) = C5×C23⋊C8central extension (φ=1)80C2^2.23(C5xC2^2:C4)320,128
C22.24(C5×C22⋊C4) = C5×C22.M4(2)central extension (φ=1)160C2^2.24(C5xC2^2:C4)320,129
C22.25(C5×C22⋊C4) = C5×D4⋊C8central extension (φ=1)160C2^2.25(C5xC2^2:C4)320,130
C22.26(C5×C22⋊C4) = C5×Q8⋊C8central extension (φ=1)320C2^2.26(C5xC2^2:C4)320,131
C22.27(C5×C22⋊C4) = C5×C22.7C42central extension (φ=1)320C2^2.27(C5xC2^2:C4)320,141
C22.28(C5×C22⋊C4) = C5×C42⋊6C4central extension (φ=1)80C2^2.28(C5xC2^2:C4)320,144
C22.29(C5×C22⋊C4) = C5×C22.4Q16central extension (φ=1)320C2^2.29(C5xC2^2:C4)320,145
C22.30(C5×C22⋊C4) = C5×C22.C42central extension (φ=1)160C2^2.30(C5xC2^2:C4)320,148
C22.31(C5×C22⋊C4) = C10×C2.C42central extension (φ=1)320C2^2.31(C5xC2^2:C4)320,876
C22.32(C5×C22⋊C4) = C10×C22⋊C8central extension (φ=1)160C2^2.32(C5xC2^2:C4)320,907
C22.33(C5×C22⋊C4) = C10×D4⋊C4central extension (φ=1)160C2^2.33(C5xC2^2:C4)320,915
C22.34(C5×C22⋊C4) = C10×Q8⋊C4central extension (φ=1)320C2^2.34(C5xC2^2:C4)320,916
C22.35(C5×C22⋊C4) = C5×C22.SD16central stem extension (φ=1)80C2^2.35(C5xC2^2:C4)320,132
C22.36(C5×C22⋊C4) = C5×C23.31D4central stem extension (φ=1)80C2^2.36(C5xC2^2:C4)320,133
C22.37(C5×C22⋊C4) = C5×C42.C22central stem extension (φ=1)160C2^2.37(C5xC2^2:C4)320,134
C22.38(C5×C22⋊C4) = C5×C42.2C22central stem extension (φ=1)320C2^2.38(C5xC2^2:C4)320,135
C22.39(C5×C22⋊C4) = C5×C4.D8central stem extension (φ=1)160C2^2.39(C5xC2^2:C4)320,136
C22.40(C5×C22⋊C4) = C5×C4.10D8central stem extension (φ=1)320C2^2.40(C5xC2^2:C4)320,137
C22.41(C5×C22⋊C4) = C5×C4.6Q16central stem extension (φ=1)320C2^2.41(C5xC2^2:C4)320,138

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