Extensions 1→N→G→Q→1 with N=C22 and Q=C4×F5

Direct product G=N×Q with N=C22 and Q=C4×F5
dρLabelID
C22×C4×F580C2^2xC4xF5320,1590

Semidirect products G=N:Q with N=C22 and Q=C4×F5
extensionφ:Q→Aut NdρLabelID
C221(C4×F5) = C4×C22⋊F5φ: C4×F5/C4×D5C2 ⊆ Aut C2280C2^2:1(C4xF5)320,1101
C222(C4×F5) = C22⋊C4×F5φ: C4×F5/C2×F5C2 ⊆ Aut C2240C2^2:2(C4xF5)320,1036

Non-split extensions G=N.Q with N=C22 and Q=C4×F5
extensionφ:Q→Aut NdρLabelID
C22.1(C4×F5) = (C2×C8)⋊F5φ: C4×F5/C4×D5C2 ⊆ Aut C22804C2^2.1(C4xF5)320,232
C22.2(C4×F5) = C22⋊F5⋊C4φ: C4×F5/C4×D5C2 ⊆ Aut C2280C2^2.2(C4xF5)320,255
C22.3(C4×F5) = C22.F5⋊C4φ: C4×F5/C4×D5C2 ⊆ Aut C22160C2^2.3(C4xF5)320,257
C22.4(C4×F5) = C20.12C42φ: C4×F5/C4×D5C2 ⊆ Aut C22804C2^2.4(C4xF5)320,1056
C22.5(C4×F5) = C4×C22.F5φ: C4×F5/C4×D5C2 ⊆ Aut C22160C2^2.5(C4xF5)320,1088
C22.6(C4×F5) = (C22×F5)⋊C4φ: C4×F5/C2×F5C2 ⊆ Aut C22408+C2^2.6(C4xF5)320,204
C22.7(C4×F5) = C22⋊C4.F5φ: C4×F5/C2×F5C2 ⊆ Aut C22808-C2^2.7(C4xF5)320,205
C22.8(C4×F5) = M4(2)⋊F5φ: C4×F5/C2×F5C2 ⊆ Aut C22408C2^2.8(C4xF5)320,237
C22.9(C4×F5) = M4(2)⋊4F5φ: C4×F5/C2×F5C2 ⊆ Aut C22808C2^2.9(C4xF5)320,240
C22.10(C4×F5) = Dic5.C42φ: C4×F5/C2×F5C2 ⊆ Aut C22160C2^2.10(C4xF5)320,1029
C22.11(C4×F5) = M4(2)×F5φ: C4×F5/C2×F5C2 ⊆ Aut C22408C2^2.11(C4xF5)320,1064
C22.12(C4×F5) = M4(2)⋊5F5φ: C4×F5/C2×F5C2 ⊆ Aut C22808C2^2.12(C4xF5)320,1066
C22.13(C4×F5) = C8×C5⋊C8central extension (φ=1)320C2^2.13(C4xF5)320,216
C22.14(C4×F5) = C40⋊C8central extension (φ=1)320C2^2.14(C4xF5)320,217
C22.15(C4×F5) = C20.31M4(2)central extension (φ=1)320C2^2.15(C4xF5)320,218
C22.16(C4×F5) = D10.3M4(2)central extension (φ=1)80C2^2.16(C4xF5)320,230
C22.17(C4×F5) = C10.(C4⋊C8)central extension (φ=1)320C2^2.17(C4xF5)320,256
C22.18(C4×F5) = C2×C8×F5central extension (φ=1)80C2^2.18(C4xF5)320,1054
C22.19(C4×F5) = C2×C8⋊F5central extension (φ=1)80C2^2.19(C4xF5)320,1055
C22.20(C4×F5) = C2×C4×C5⋊C8central extension (φ=1)320C2^2.20(C4xF5)320,1084
C22.21(C4×F5) = C2×C10.C42central extension (φ=1)320C2^2.21(C4xF5)320,1087
C22.22(C4×F5) = C2×D10.3Q8central extension (φ=1)80C2^2.22(C4xF5)320,1100

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