Extensions 1→N→G→Q→1 with N=C2 and Q=C2×D5×A4

Direct product G=N×Q with N=C2 and Q=C2×D5×A4
dρLabelID
C22×D5×A460C2^2xD5xA4480,1202


Non-split extensions G=N.Q with N=C2 and Q=C2×D5×A4
extensionφ:Q→Aut NdρLabelID
C2.1(C2×D5×A4) = C4×D5×A4central extension (φ=1)606C2.1(C2xD5xA4)480,1036
C2.2(C2×D5×A4) = C2×A4×Dic5central extension (φ=1)120C2.2(C2xD5xA4)480,1044
C2.3(C2×D5×A4) = A4×Dic10central stem extension (φ=1)1206-C2.3(C2xD5xA4)480,1035
C2.4(C2×D5×A4) = A4×D20central stem extension (φ=1)606+C2.4(C2xD5xA4)480,1037
C2.5(C2×D5×A4) = C2×Dic5.A4central stem extension (φ=1)160C2.5(C2xD5xA4)480,1038
C2.6(C2×D5×A4) = C2×D5×SL2(𝔽3)central stem extension (φ=1)80C2.6(C2xD5xA4)480,1039
C2.7(C2×D5×A4) = SL2(𝔽3).11D10central stem extension (φ=1)804C2.7(C2xD5xA4)480,1040
C2.8(C2×D5×A4) = Dic10.A4central stem extension (φ=1)1204+C2.8(C2xD5xA4)480,1041
C2.9(C2×D5×A4) = D5×C4.A4central stem extension (φ=1)804C2.9(C2xD5xA4)480,1042
C2.10(C2×D5×A4) = D20.A4central stem extension (φ=1)804-C2.10(C2xD5xA4)480,1043
C2.11(C2×D5×A4) = A4×C5⋊D4central stem extension (φ=1)606C2.11(C2xD5xA4)480,1045

׿
×
𝔽