Finite Group Databasebeta

← Group #13103724

Character table — Group #13103724

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85
size11222224444444101020448888816161616161616404080551010101010202020202020205050100551010101010202020202020205050100551010101010202020202020205050100
order12455101021010101020208845102055101010101010102020404020224101010102101010102020884444202020204202020202020884444202020204202020202020884
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-1-1-111111111111111-1-1-111111111111111-1-1-111111111111111-1-1-111111111111111-1-1-1
χ31111111-1-1-1-1-11111-11111111-1-1-1-1-11111-11111111-1-1-1-1-11111-11111111-1-1-1-1-11111-11111111-1-1-1-1-11111-1
χ41111111-1-1-1-1-111-1-111111111-1-1-1-1-111-1-111111111-1-1-1-1-111-1-111111111-1-1-1-1-111-1-111111111-1-1-1-1-111-1-11
χ5222−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−52−1+52−1−52000222−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−52−1+52−1−52000222−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−52−1+52−1−52000222−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−52−1+52−1−52000222−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−52−1+52−1−52000
χ6222−1+52−1−52−1+52−1−52-21−521−521+521+52−1+52−1−52000222−1+52−1−52−1+52−1−52-21−521−521+521+52−1+52−1−52000222−1+52−1−52−1+52−1−52-21−521−521+521+52−1+52−1−52000222−1+52−1−52−1+52−1−52-21−521−521+521+52−1+52−1−52000222−1+52−1−52−1+52−1−52-21−521−521+521+52−1+52−1−52000
χ7222−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+52−1−52−1+52000222−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+52−1−52−1+52000222−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+52−1−52−1+52000222−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+52−1−52−1+52000222−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+52−1−52−1+52000
χ8222−1−52−1+52−1−52−1+52-21+521+521−521−52−1−52−1+52000222−1−52−1+52−1−52−1+52-21+521+521−521−52−1−52−1+52000222−1−52−1+52−1−52−1+52-21+521+521−521−52−1−52−1+52000222−1−52−1+52−1−52−1+52-21+521+521−521−52−1−52−1+52000222−1−52−1+52−1−52−1+52-21+521+521−521−52−1−52−1+52000
χ922-2222200000-2-200022-2222200000-2-200022-2222200000-2-200022-2222200000-2-200022-2222200000-2-2000
χ1022-2−1+52−1−52−1+52−1−520ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+5200022-2−1+52−1−52−1+52−1−520ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+5200022-2−1+52−1−52−1+52−1−520ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+5200022-2−1+52−1−52−1+52−1−520ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+5200022-2−1+52−1−52−1+52−1−520ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+52000
χ1122-2−1+52−1−52−1+52−1−520−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+5200022-2−1+52−1−52−1+52−1−520−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+5200022-2−1+52−1−52−1+52−1−520−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+5200022-2−1+52−1−52−1+52−1−520−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+5200022-2−1+52−1−52−1+52−1−520−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+52000
χ1222-2−1−52−1+52−1−52−1+520−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−5200022-2−1−52−1+52−1−52−1+520−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−5200022-2−1−52−1+52−1−52−1+520−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−5200022-2−1−52−1+52−1−52−1+520−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−5200022-2−1−52−1+52−1−52−1+520−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−52000
χ1322-2−1−52−1+52−1−52−1+520ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−5200022-2−1−52−1+52−1−52−1+520ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−5200022-2−1−52−1+52−1−52−1+520ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−5200022-2−1−52−1+52−1−52−1+520ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−5200022-2−1−52−1+52−1−52−1+520ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−52000
χ142-2022-2-20000000i2−i202-2022-2-20000000i2−i202-2022-2-20000000i2−i202-2022-2-20000000i2−i202-2022-2-20000000i2−i20
χ152-2022-2-20000000−i2i202-2022-2-20000000−i2i202-2022-2-20000000−i2i202-2022-2-20000000−i2i202-2022-2-20000000−i2i20
χ164-40−1+5−1−51−51+500000000004-40−1+5−1−51−51+500000000004-40−1+5−1−51−51+500000000004-40−1+5−1−51−51+500000000004-40−1+5−1−51−51+50000000000
χ174-40−1−5−1+51+51−500000000004-40−1−5−1+51+51−500000000004-40−1−5−1+51+51−500000000004-40−1−5−1+51+51−500000000004-40−1−5−1+51+51−50000000000
χ18111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ1911111111111111-1-1-111111111111111-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ201111111-1-1-1-1-11111-11111111-1-1-1-1-11111-11111111-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-11-1-1-1-1-1-1-111111-1-1-1-11
χ211111111-1-1-1-1-111-1-111111111-1-1-1-1-111-1-111111111-1-1-1-1-111-1-11-1-1-1-1-1-1-111111-1-111-1-1-1-1-1-1-1-111111-1-111-1
χ22222−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−52−1+52−1−52000222−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−52−1+52−1−52000222−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−52−1+52−1−52000-2-2-21−521+521−521+52-21−521−521+521+521−521+52000-2-2-21−521+521−521+52-21−521−521+521+521−521+52000
χ23222−1+52−1−52−1+52−1−52-21−521−521+521+52−1+52−1−52000222−1+52−1−52−1+52−1−52-21−521−521+521+52−1+52−1−52000222−1+52−1−52−1+52−1−52-21−521−521+521+52−1+52−1−52000-2-2-21−521+521−521+522−1+52−1+52−1−52−1−521−521+52000-2-2-21−521+521−521+522−1+52−1+52−1−52−1−521−521+52000
χ24222−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+52−1−52−1+52000222−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+52−1−52−1+52000222−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+52−1−52−1+52000-2-2-21+521−521+521−52-21+521+521−521−521+521−52000-2-2-21+521−521+521−52-21+521+521−521−521+521−52000
χ25222−1−52−1+52−1−52−1+52-21+521+521−521−52−1−52−1+52000222−1−52−1+52−1−52−1+52-21+521+521−521−52−1−52−1+52000222−1−52−1+52−1−52−1+52-21+521+521−521−52−1−52−1+52000-2-2-21+521−521+521−522−1−52−1−52−1+52−1+521+521−52000-2-2-21+521−521+521−522−1−52−1−52−1+52−1+521+521−52000
χ2622-2222200000-2-200022-2222200000-2-200022-2222200000-2-2000-2-22-2-2-2-20000022000-2-22-2-2-2-20000022000
χ2722-2−1+52−1−52−1+52−1−520ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+5200022-2−1+52−1−52−1+52−1−520ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+5200022-2−1+52−1−52−1+52−1−520ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+52000-2-221−521+521−521+520−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1−52000-2-221−521+521−521+520−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1−52000
χ2822-2−1+52−1−52−1+52−1−520−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+5200022-2−1+52−1−52−1+52−1−520−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+5200022-2−1+52−1−52−1+52−1−520−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+52000-2-221−521+521−521+520ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1−52000-2-221−521+521−521+520ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1−52000
χ2922-2−1−52−1+52−1−52−1+520−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−5200022-2−1−52−1+52−1−52−1+520−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−5200022-2−1−52−1+52−1−52−1+520−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−52000-2-221+521−521+521−520ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1+52000-2-221+521−521+521−520ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1+52000
χ3022-2−1−52−1+52−1−52−1+520ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−5200022-2−1−52−1+52−1−52−1+520ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−5200022-2−1−52−1+52−1−52−1+520ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−52000-2-221+521−521+521−520−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1+52000-2-221+521−521+521−520−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1+52000
χ312-2022-2-20000000i2−i202-2022-2-20000000i2−i202-2022-2-20000000i2−i20-220-2-2220000000−i2i20-220-2-2220000000−i2i20
χ322-2022-2-20000000−i2i202-2022-2-20000000−i2i202-2022-2-20000000−i2i20-220-2-2220000000i2−i20-220-2-2220000000i2−i20
χ334-40−1+5−1−51−51+500000000004-40−1+5−1−51−51+500000000004-40−1+5−1−51−51+50000000000-4401−51+5−1+5−1−50000000000-4401−51+5−1+5−1−50000000000
χ344-40−1−5−1+51+51−500000000004-40−1−5−1+51+51−500000000004-40−1−5−1+51+51−50000000000-4401+51−5−1−5−1+50000000000-4401+51−5−1−5−1+50000000000
χ351111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ3611111111111111-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111iiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiii
χ371111111-1-1-1-1-11111-11111111-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-11iiiiiii−i−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiii−i−i−i−ii
χ381111111-1-1-1-1-111-1-111111111-1-1-1-1-111-1-11-1-1-1-1-1-1-111111-1-111-1iiiiiii−i−i−i−i−iii−i−ii−i−i−i−i−i−i−iiiiii−i−iii−i
χ39222−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−52−1+52−1−52000222−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−52−1+52−1−52000-2-2-21−521+521−521+52-21−521−521+521+521−521+520002i2i2i−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ142i−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14000−2i−2i−2iζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−2iζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ6+ζ14000
χ40222−1+52−1−52−1+52−1−52-21−521−521+521+52−1+52−1−52000222−1+52−1−52−1+52−1−52-21−521−521+521+52−1+52−1−52000-2-2-21−521+521−521+522−1+52−1+52−1−52−1−521−521+520002i2i2i−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−2iζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ6−ζ14000−2i−2i−2iζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ142i−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ6+ζ14000
χ41222−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+52−1−52−1+52000222−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+52−1−52−1+52000-2-2-21+521−521+521−52-21+521+521−521−521+521−520002i2i2i−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ382i−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38000−2i−2i−2iζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−2iζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ22+ζ38000
χ42222−1−52−1+52−1−52−1+52-21+521+521−521−52−1−52−1+52000222−1−52−1+52−1−52−1+52-21+521+521−521−52−1−52−1+52000-2-2-21+521−521+521−522−1−52−1−52−1+52−1+521+521−520002i2i2i−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−2iζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ22−ζ38000−2i−2i−2iζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ382i−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ22+ζ38000
χ4322-2222200000-2-200022-2222200000-2-2000-2-22-2-2-2-200000220002i2i−2i2i2i2i2i00000−2i−2i000−2i−2i2i−2i−2i−2i−2i000002i2i000
χ4422-2−1+52−1−52−1+52−1−520ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+5200022-2−1+52−1−52−1+52−1−520ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+52000-2-221−521+521−521+520−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1−520002i2i−2i−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ140ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22+ζ38ζ6+ζ14000−2i−2i2iζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ140−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22−ζ38−ζ6−ζ14000
χ4522-2−1+52−1−52−1+52−1−520−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+5200022-2−1+52−1−52−1+52−1−520−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+52000-2-221−521+521−521+520ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1−520002i2i−2i−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ140−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22+ζ38ζ6+ζ14000−2i−2i2iζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ140ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22−ζ38−ζ6−ζ14000
χ4622-2−1−52−1+52−1−52−1+520−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−5200022-2−1−52−1+52−1−52−1+520−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−52000-2-221+521−521+521−520ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1+520002i2i−2i−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ380ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6+ζ14ζ22+ζ38000−2i−2i2iζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ380−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6−ζ14−ζ22−ζ38000
χ4722-2−1−52−1+52−1−52−1+520ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−5200022-2−1−52−1+52−1−52−1+520ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−52000-2-221+521−521+521−520−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1+520002i2i−2i−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ380−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6+ζ14ζ22+ζ38000−2i−2i2iζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ380ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6−ζ14−ζ22−ζ38000
χ482-2022-2-20000000i2−i202-2022-2-20000000i2−i20-220-2-2220000000−i2i202i−2i02i2i−2i−2i0000000−220−2i2i0−2i−2i2i2i00000002−20
χ492-2022-2-20000000−i2i202-2022-2-20000000−i2i20-220-2-2220000000i2−i202i−2i02i2i−2i−2i00000002−20−2i2i0−2i−2i2i2i0000000−220
χ504-40−1+5−1−51−51+500000000004-40−1+5−1−51−51+50000000000-4401−51+5−1+5−1−500000000004i−4i0−2ζ22−2ζ38−2ζ6−2ζ142ζ22+2ζ382ζ6+2ζ140000000000−4i4i02ζ22+2ζ382ζ6+2ζ14−2ζ22−2ζ38−2ζ6−2ζ140000000000
χ514-40−1−5−1+51+51−500000000004-40−1−5−1+51+51−50000000000-4401+51−5−1−5−1+500000000004i−4i0−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ380000000000−4i4i02ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ380000000000
χ521111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiii
χ5311111111111111-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiii−i−i−i
χ541111111-1-1-1-1-11111-11111111-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-11−i−i−i−i−i−i−iiiiii−i−i−i−iiiiiiiii−i−i−i−i−iiiii−i
χ551111111-1-1-1-1-111-1-111111111-1-1-1-1-111-1-11-1-1-1-1-1-1-111111-1-111-1−i−i−i−i−i−i−iiiiii−i−iii−iiiiiiii−i−i−i−i−iii−i−ii
χ56222−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−52−1+52−1−52000222−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−52−1+52−1−52000-2-2-21−521+521−521+52-21−521−521+521+521−521+52000−2i−2i−2iζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−2iζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ6+ζ140002i2i2i−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ142i−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14000
χ57222−1+52−1−52−1+52−1−52-21−521−521+521+52−1+52−1−52000222−1+52−1−52−1+52−1−52-21−521−521+521+52−1+52−1−52000-2-2-21−521+521−521+522−1+52−1+52−1−52−1−521−521+52000−2i−2i−2iζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ142i−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ6+ζ140002i2i2i−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−2iζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ6−ζ14000
χ58222−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+52−1−52−1+52000222−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+52−1−52−1+52000-2-2-21+521−521+521−52-21+521+521−521−521+521−52000−2i−2i−2iζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−2iζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ22+ζ380002i2i2i−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ382i−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38000
χ59222−1−52−1+52−1−52−1+52-21+521+521−521−52−1−52−1+52000222−1−52−1+52−1−52−1+52-21+521+521−521−52−1−52−1+52000-2-2-21+521−521+521−522−1−52−1−52−1+52−1+521+521−52000−2i−2i−2iζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ382i−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ22+ζ380002i2i2i−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−2iζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ22−ζ38000
χ6022-2222200000-2-200022-2222200000-2-2000-2-22-2-2-2-20000022000−2i−2i2i−2i−2i−2i−2i000002i2i0002i2i−2i2i2i2i2i00000−2i−2i000
χ6122-2−1+52−1−52−1+52−1−520ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+5200022-2−1+52−1−52−1+52−1−520ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+52000-2-221−521+521−521+520−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1−52000−2i−2i2iζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ140−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22−ζ38−ζ6−ζ140002i2i−2i−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ140ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22+ζ38ζ6+ζ14000
χ6222-2−1+52−1−52−1+52−1−520−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+5200022-2−1+52−1−52−1+52−1−520−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+52000-2-221−521+521−521+520ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1−52000−2i−2i2iζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ140ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22−ζ38−ζ6−ζ140002i2i−2i−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ140−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22+ζ38ζ6+ζ14000
χ6322-2−1−52−1+52−1−52−1+520−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−5200022-2−1−52−1+52−1−52−1+520−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−52000-2-221+521−521+521−520ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1+52000−2i−2i2iζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ380−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6−ζ14−ζ22−ζ380002i2i−2i−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ380ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6+ζ14ζ22+ζ38000
χ6422-2−1−52−1+52−1−52−1+520ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−5200022-2−1−52−1+52−1−52−1+520ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−52000-2-221+521−521+521−520−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1+52000−2i−2i2iζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ380ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6−ζ14−ζ22−ζ380002i2i−2i−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ380−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6+ζ14ζ22+ζ38000
χ652-2022-2-20000000i2−i202-2022-2-20000000i2−i20-220-2-2220000000−i2i20−2i2i0−2i−2i2i2i00000002−202i−2i02i2i−2i−2i0000000−220
χ662-2022-2-20000000−i2i202-2022-2-20000000−i2i20-220-2-2220000000i2−i20−2i2i0−2i−2i2i2i0000000−2202i−2i02i2i−2i−2i00000002−20
χ674-40−1+5−1−51−51+500000000004-40−1+5−1−51−51+50000000000-4401−51+5−1+5−1−50000000000−4i4i02ζ22+2ζ382ζ6+2ζ14−2ζ22−2ζ38−2ζ6−2ζ1400000000004i−4i0−2ζ22−2ζ38−2ζ6−2ζ142ζ22+2ζ382ζ6+2ζ140000000000
χ684-40−1−5−1+51+51−500000000004-40−1−5−1+51+51−50000000000-4401+51−5−1−5−1+50000000000−4i4i02ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ3800000000004i−4i0−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ380000000000
χ6944444444444444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000000
χ7044444444444444-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1111000000000000000000000000000000000000000000000000000
χ714444444-4-4-4-4-44444-4-1-1-1-1-1-1-111111-1-1-1-11000000000000000000000000000000000000000000000000000
χ724444444-4-4-4-4-444-4-44-1-1-1-1-1-1-111111-1-111-1000000000000000000000000000000000000000000000000000
χ73888−2+25−2−25−2+25−2−258−2+25−2+25−2−25−2−25−2+25−2−25000-2-2-21−521+521−521+52-21−521−521+521+521−521+52000000000000000000000000000000000000000000000000000000
χ74888−2+25−2−25−2+25−2−25-82−252−252+252+25−2+25−2−25000-2-2-21−521+521−521+522−1+52−1+52−1−52−1−521−521+52000000000000000000000000000000000000000000000000000000
χ75888−2−25−2+25−2−25−2+258−2−25−2−25−2+25−2+25−2−25−2+25000-2-2-21+521−521+521−52-21+521+521−521−521+521−52000000000000000000000000000000000000000000000000000000
χ76888−2−25−2+25−2−25−2+25-82+252+252−252−25−2−25−2+25000-2-2-21+521−521+521−522−1−52−1−52−1+52−1+521+521−52000000000000000000000000000000000000000000000000000000
χ7788-8888800000-8-8000-2-22-2-2-2-20000022000000000000000000000000000000000000000000000000000000
χ7888-8−2+25−2−25−2+25−2−2504ζ12−4ζ28−4ζ12+4ζ28−4ζ4+4ζ364ζ4−4ζ362−252+25000-2-221−521+521−521+520−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1−52000000000000000000000000000000000000000000000000000000
χ7988-8−2+25−2−25−2+25−2−250−4ζ12+4ζ284ζ12−4ζ284ζ4−4ζ36−4ζ4+4ζ362−252+25000-2-221−521+521−521+520ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1−52000000000000000000000000000000000000000000000000000000
χ8088-8−2−25−2+25−2−25−2+250−4ζ4+4ζ364ζ4−4ζ36−4ζ12+4ζ284ζ12−4ζ282+252−25000-2-221+521−521+521−520ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1+52000000000000000000000000000000000000000000000000000000
χ8188-8−2−25−2+25−2−25−2+2504ζ4−4ζ36−4ζ4+4ζ364ζ12−4ζ28−4ζ12+4ζ282+252−25000-2-221+521−521+521−520−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1+52000000000000000000000000000000000000000000000000000000
χ828-8088-8-800000004i2−4i20-220-2-2220000000−i2i20000000000000000000000000000000000000000000000000000
χ838-8088-8-80000000−4i24i20-220-2-2220000000i2−i20000000000000000000000000000000000000000000000000000
χ8416-160−4+45−4−454−454+450000000000-4401−51+5−1+5−1−50000000000000000000000000000000000000000000000000000000000000
χ8516-160−4−45−4+454+454−450000000000-4401+51−5−1−5−1+50000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.