Extensions 1→N→G→Q→1 with N=M5(2) and Q=D5

Direct product G=NxQ with N=M5(2) and Q=D5
dρLabelID
D5xM5(2)804D5xM5(2)320,533

Semidirect products G=N:Q with N=M5(2) and Q=D5
extensionφ:Q→Out NdρLabelID
M5(2):1D5 = D80:C2φ: D5/C5C2 ⊆ Out M5(2)804+M5(2):1D5320,535
M5(2):2D5 = C16.D10φ: D5/C5C2 ⊆ Out M5(2)1604-M5(2):2D5320,536
M5(2):3D5 = C8.25D20φ: D5/C5C2 ⊆ Out M5(2)804M5(2):3D5320,72
M5(2):4D5 = D20.4C8φ: D5/C5C2 ⊆ Out M5(2)1604M5(2):4D5320,73
M5(2):5D5 = D40.4C4φ: D5/C5C2 ⊆ Out M5(2)804+M5(2):5D5320,74
M5(2):6D5 = D40:8C4φ: D5/C5C2 ⊆ Out M5(2)804M5(2):6D5320,76
M5(2):7D5 = D20.5C8φ: trivial image1604M5(2):7D5320,534

Non-split extensions G=N.Q with N=M5(2) and Q=D5
extensionφ:Q→Out NdρLabelID
M5(2).1D5 = C40.Q8φ: D5/C5C2 ⊆ Out M5(2)804M5(2).1D5320,71
M5(2).2D5 = C40.9Q8φ: D5/C5C2 ⊆ Out M5(2)804M5(2).2D5320,69
M5(2).3D5 = C80:C4φ: D5/C5C2 ⊆ Out M5(2)804M5(2).3D5320,70
M5(2).4D5 = C20.4D8φ: D5/C5C2 ⊆ Out M5(2)1604-M5(2).4D5320,75

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