Extensions 1→N→G→Q→1 with N=C2 and Q=C2×C4×F5

Direct product G=N×Q with N=C2 and Q=C2×C4×F5
dρLabelID
C22×C4×F580C2^2xC4xF5320,1590


Non-split extensions G=N.Q with N=C2 and Q=C2×C4×F5
extensionφ:Q→Aut NdρLabelID
C2.1(C2×C4×F5) = C4×D5⋊C8central extension (φ=1)160C2.1(C2xC4xF5)320,1013
C2.2(C2×C4×F5) = C42×F5central extension (φ=1)80C2.2(C2xC4xF5)320,1023
C2.3(C2×C4×F5) = C2×C8×F5central extension (φ=1)80C2.3(C2xC4xF5)320,1054
C2.4(C2×C4×F5) = C2×C4×C5⋊C8central extension (φ=1)320C2.4(C2xC4xF5)320,1084
C2.5(C2×C4×F5) = C42.5F5central stem extension (φ=1)160C2.5(C2xC4xF5)320,1014
C2.6(C2×C4×F5) = C4×C4.F5central stem extension (φ=1)160C2.6(C2xC4xF5)320,1015
C2.7(C2×C4×F5) = C424F5central stem extension (φ=1)80C2.7(C2xC4xF5)320,1024
C2.8(C2×C4×F5) = C4×C4⋊F5central stem extension (φ=1)80C2.8(C2xC4xF5)320,1025
C2.9(C2×C4×F5) = Dic5.C42central stem extension (φ=1)160C2.9(C2xC4xF5)320,1029
C2.10(C2×C4×F5) = C22⋊C4×F5central stem extension (φ=1)40C2.10(C2xC4xF5)320,1036
C2.11(C2×C4×F5) = D10.C42central stem extension (φ=1)160C2.11(C2xC4xF5)320,1039
C2.12(C2×C4×F5) = C4⋊C4×F5central stem extension (φ=1)80C2.12(C2xC4xF5)320,1048
C2.13(C2×C4×F5) = C2×C8⋊F5central stem extension (φ=1)80C2.13(C2xC4xF5)320,1055
C2.14(C2×C4×F5) = C20.12C42central stem extension (φ=1)804C2.14(C2xC4xF5)320,1056
C2.15(C2×C4×F5) = M4(2)×F5central stem extension (φ=1)408C2.15(C2xC4xF5)320,1064
C2.16(C2×C4×F5) = M4(2)⋊5F5central stem extension (φ=1)808C2.16(C2xC4xF5)320,1066
C2.17(C2×C4×F5) = C2×C10.C42central stem extension (φ=1)320C2.17(C2xC4xF5)320,1087
C2.18(C2×C4×F5) = C4×C22.F5central stem extension (φ=1)160C2.18(C2xC4xF5)320,1088
C2.19(C2×C4×F5) = C2×D10.3Q8central stem extension (φ=1)80C2.19(C2xC4xF5)320,1100
C2.20(C2×C4×F5) = C4×C22⋊F5central stem extension (φ=1)80C2.20(C2xC4xF5)320,1101

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