Finite Group Databasebeta

← Group #10613402

Character table — Group #10613402

Order 640.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61
size11112222222222444444448888888888888888810101616161616161616202020202020202020404040
order1222445510101010101044882020202024448202020204040404040404040441010202020202020444444488448
χ11111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-11
χ41111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1
χ51111111111111111-1-1111111-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-111-1-11-1-1
χ61111111111111111-1-1111111-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-111-111
χ71111111111111111-1-11111-1-111-11111-1-1-1-1-1-1-1-111-1-1-1-111111-1-11111-1-1-11-1
χ81111111111111111-1-11111-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1111-11
χ911111111111111-1-11111111-11-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-111111-111-1-1-1
χ1011111111111111-1-11111111-11-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-11-1-1-1-1-11-1-1111
χ1111111111111111-1-1111111-11-11-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-1-11-11111-1
χ1211111111111111-1-1111111-11-11-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111111-11-1-1-1-11
χ1311111111111111-1-1-1-111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-111-1-11-1-1-1-111
χ1411111111111111-1-1-1-111111-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111-1-111-11111-1-1
χ1511111111111111-1-1-1-11111-111-11-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1111-1-1-11-11
χ1611111111111111-1-1-1-11111-111-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111-1-1-1111-11-1
χ17222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1+52−1−52−1−5222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000
χ18222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1+52−1−52−1−52-2-2-2-22−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52001−521+521−521+521−521+521−521+52000000000000
χ19222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-2−1+52−1+52−1−52−1−5222-2-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+5200−1+52−1−52−1+52−1−521−521+521−521+52000000000000
χ20222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-2−1+52−1+52−1−52−1−52-2-222-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52001−521+521−521+52−1+52−1−52−1+52−1−52000000000000
χ21222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1+52−1−52−1−522-22-2-21−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+5200−1+52−1−521−521+52−1+52−1−521−521+52000000000000
χ22222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1+52−1−52−1−52-22-22-21−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+52001−521+52−1+52−1−521−521+52−1+52−1−52000000000000
χ23222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−522-2-2221−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−5200−1+52−1−521−521+521−521+52−1+52−1−52000000000000
χ24222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52-222-221−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−52001−521+52−1+52−1−52−1+52−1−521−521+52000000000000
χ25222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1−52−1+52−1+5222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000
χ26222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52-2-2-2-22−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52001+521−521+521−521+521−521+521−52000000000000
χ27222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2−1−52−1−52−1+52−1+5222-2-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−5200−1−52−1+52−1−52−1+521+521−521+521−52000000000000
χ28222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2−1−52−1−52−1+52−1+52-2-222-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52001+521−521+521−52−1−52−1+52−1−52−1+52000000000000
χ29222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-222−1−52−1−52−1+52−1+522-22-2-21+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−5200−1−52−1+521+521−52−1−52−1+521+521−52000000000000
χ30222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-222−1−52−1−52−1+52−1+52-22-22-21+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−52001+521−52−1−52−1+521+521−52−1−52−1+52000000000000
χ31222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+522-2-2221+521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+5200−1−52−1+521+521−521+521−52−1−52−1+52000000000000
χ32222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52-222-221+521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+52001+521−52−1−52−1+52−1−52−1+521+521−52000000000000
χ332222-2-2222222222-200-2-2-2-20000022-2-200000000220000000020000-2-200000
χ342222-2-2222222222-200-2-2-2-20000022-2-200000000-2-200000000-200002200000
χ352222-2-222222222-2200-2-2-2-200000-2-222000000002200000000-20000-2200000
χ362222-2-222222222-2200-2-2-2-200000-2-22200000000-2-200000000200002-200000
χ372-22-2-2222-2-222-2-2002i−2i2-22-20000000002i−2i2i−2i0000000000000002i−2i2-20000000
χ382-22-2-2222-2-222-2-2002i−2i2-22-20000000002i−2i2i−2i000000000000000−2i2i-220000000
χ392-22-2-2222-2-222-2-200−2i2i2-22-2000000000−2i2i−2i2i0000000000000002i−2i-220000000
χ402-22-2-2222-2-222-2-200−2i2i2-22-2000000000−2i2i−2i2i000000000000000−2i2i2-20000000
χ414444-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−54-4001−51−51+51+500000−1+5−1−51−51+5000000000000000000000000000000
χ424444-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-44001−51−51+51+5000001−51+5−1+5−1−5000000000000000000000000000000
χ434444-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+54-4001+51+51−51−500000−1−5−1+51+51−5000000000000000000000000000000
χ444444-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-44001+51+51−51−5000001+51−5−1−5−1+5000000000000000000000000000000
χ4544-4-4004444-4-4-4-400000000000000000000000004-400000000000000000000
χ4644-4-4004444-4-4-4-40000000000000000000000000-4400000000000000000000
χ474-44-44-444-4-444-4-40000-44-44000000000000000000000000000000000000000
χ484-44-44-4−1+5−1−51−51+5−1+5−1−51−51+500001−5−1+51+5−1−50000000000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ140000000000000000000000
χ494-44-44-4−1+5−1−51−51+5−1+5−1−51−51+500001−5−1+51+5−1−500000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ140000000000000000000000
χ504-44-44-4−1−5−1+51+51−5−1−5−1+51+51−500001+5−1−51−5−1+500000000000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ380000000000000000000000
χ514-44-44-4−1−5−1+51+51−5−1−5−1+51+51−500001+5−1−51−5−1+50000000000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ380000000000000000000000
χ524-44-4-44−1+5−1−51−51+5−1+5−1−51−51+5004i−4i−1+51−5−1−51+5000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ1400000000000000000000000000
χ534-44-4-44−1+5−1−51−51+5−1+5−1−51−51+500−4i4i−1+51−5−1−51+50000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ1400000000000000000000000000
χ544-44-4-44−1−5−1+51+51−5−1−5−1+51+51−5004i−4i−1−51+5−1+51−5000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ3800000000000000000000000000
χ554-44-4-44−1−5−1+51+51−5−1−5−1+51+51−500−4i4i−1−51+5−1+51−50000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ3800000000000000000000000000
χ564-4-440044-4-4-4-4440000000000000000000000000000000000000000002i2−2i2000
χ574-4-440044-4-4-4-444000000000000000000000000000000000000000000−2i22i2000
χ5888-8-800−2+25−2−25−2+25−2−252−252+252−252+2500000000000000000000000000000000000000000000000
χ5988-8-800−2−25−2+25−2−25−2+252+252−252+252−2500000000000000000000000000000000000000000000000
χ608-8-8800−2+25−2−252−252+252−252+25−2+25−2−2500000000000000000000000000000000000000000000000
χ618-8-8800−2−25−2+252+252−252+252−25−2−25−2+2500000000000000000000000000000000000000000000000

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