Finite Group Databasebeta

← Group #10599962

Character table — Group #10599962

Order 640.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size1122222444444488888888888161616161616161616161616202020204040404080
order1225510104444410104202020202020202020208820204040404040404040444424448
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-111-1-1
χ41111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-111
χ51111111-1-111111-111-1-1-1-111111-1-1-11111-1-1-1-111-1-111-11-1
χ61111111-1-111111-111-1-1-1-111111-1-1-11111-1-1-1-1-1-111-1-11-11
χ71111111-1-111111-111-1-1-1-11111-11-1-1-1-1-1-1111111-1-1-11-1-11
χ81111111-1-111111-111-1-1-1-11111-11-1-1-1-1-1-11111-1-1111-111-1
χ92222222002-2-2220-2-2000022-2-200000000000022000-2000
χ102222222002-2-2220-2-2000022-2-2000000000000-2-20002000
χ11222222200-22-2220-2-20000-2-222000000000000002200-200
χ12222222200-22-2220-2-20000-2-22200000000000000-2-200200
χ13222222222-2-2222-2222222-2-2-2-200-2-200000000000000000
χ142222222-2-2-2-2222222-2-2-2-2-2-2-2-2002200000000000000000
χ15222−1+52−1−52−1+52−1−5222222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000
χ16222−1+52−1−52−1+52−1−5222222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-2-2−1+52−1−521−521−521+521+521−521−521+521+52000000000
χ17222−1+52−1−52−1+52−1−5222-2-22−1+52−1−52-2−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521+52001−521+52−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7000000000
χ18222−1+52−1−52−1+52−1−5222-2-22−1+52−1−52-2−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521+52001−521+52ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7000000000
χ19222−1+52−1−52−1+52−1−52-2-2222−1+52−1−52-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−522-21−521+52−1+52−1+52−1−52−1−521−521−521+521+52000000000
χ20222−1+52−1−52−1+52−1−52-2-2222−1+52−1−52-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52-221−521+521−521−521+521+52−1+52−1+52−1−52−1−52000000000
χ21222−1+52−1−52−1+52−1−52-2-2-2-22−1+52−1−522−1+52−1−521−521−521+521+521−521+521−521+5200−1+52−1−52−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7000000000
χ22222−1+52−1−52−1+52−1−52-2-2-2-22−1+52−1−522−1+52−1−521−521−521+521+521−521+521−521+5200−1+52−1−52ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7000000000
χ23222−1−52−1+52−1−52−1+5222222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000
χ24222−1−52−1+52−1−52−1+5222222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-2-2−1−52−1+521+521+521−521−521+521+521−521−52000000000
χ25222−1−52−1+52−1−52−1+5222-2-22−1−52−1+52-2−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521−52001+521−52ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19000000000
χ26222−1−52−1+52−1−52−1+5222-2-22−1−52−1+52-2−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521−52001+521−52−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19000000000
χ27222−1−52−1+52−1−52−1+52-2-2222−1−52−1+52-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+522-21+521−52−1−52−1−52−1+52−1+521+521+521−521−52000000000
χ28222−1−52−1+52−1−52−1+52-2-2222−1−52−1+52-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52-221+521−521+521+521−521−52−1−52−1−52−1+52−1+52000000000
χ29222−1−52−1+52−1−52−1+52-2-2-2-22−1−52−1+522−1−52−1+521+521+521−521−521+521−521+521−5200−1−52−1+52ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19000000000
χ30222−1−52−1+52−1−52−1+52-2-2-2-22−1−52−1+522−1−52−1+521+521+521−521−521+521−521+521−5200−1−52−1+52−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19000000000
χ31444−1+5−1−5−1+5−1−5004-4-4−1+5−1−501−51+50000−1+5−1−51−51+5000000000000000000000
χ32444−1+5−1−5−1+5−1−500-44-4−1+5−1−501−51+500001−51+5−1+5−1−5000000000000000000000
χ33444−1−5−1+5−1−5−1+5004-4-4−1−5−1+501+51−50000−1−5−1+51+51−5000000000000000000000
χ34444−1−5−1+5−1−5−1+500-44-4−1−5−1+501+51−500001+51−5−1−5−1+5000000000000000000000
χ3544-4444400000-4-4000000000000000000000000000200-20
χ3644-4444400000-4-4000000000000000000000000000-20020
χ374-4044-4-42-2000000002-22-200000000000000002-22-200000
χ384-4044-4-42-2000000002-22-20000000000000000-22-2200000
χ394-4044-4-4-2200000000-22-2200000000000000002-2-2200000
χ404-4044-4-4-2200000000-22-220000000000000000-222-200000
χ4188-8−2+25−2−25−2+25−2−25000002−252+2500000000000000000000000000000000
χ4288-8−2−25−2+25−2−25−2+25000002+252−2500000000000000000000000000000000
χ438-80−2+25−2−252−252+254-400000000−1+51−5−1−51+50000000000000000000000000
χ448-80−2+25−2−252−252+25-44000000001−5−1+51+5−1−50000000000000000000000000
χ458-80−2−25−2+252+252−254-400000000−1−51+5−1+51−50000000000000000000000000
χ468-80−2−25−2+252+252−25-44000000001+5−1−51−5−1+50000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1).