Finite Group Databasebeta

← Group #12018961

Character table — Group #12018961

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size1122222222222222222444444444444444444444448888888888888888888888881616161616161616161616161616161616161616404040404040404080808080
order122224444558810102020202088810101010101020202020202040404040404040401616161640404040808080808080808080808080808080804488202020202020202040404040404040404488161616164488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ8111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ922222222222-2-2222222-2-2-2222222222222-2-2-2-2-2-2-2-20000-2-2-2-200000000000000000000000000000000000022-2-200000000
χ1022222222222-2-2222222-2-2-2222222222222-2-2-2-2-2-2-2-20000-2-2-2-2000000000000000000000000000000000000-2-22200000000
χ11222222222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000
χ12222222222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-2-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52000000000000
χ13222222222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1+52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+5222-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52000000000000
χ14222222222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1+52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52-2-2221−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000
χ15222222222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000000
χ16222222222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52-2-2-2-21+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52000000000000
χ17222222222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1−52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−5222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52000000000000
χ18222222222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1−52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52-2-2221+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000000
χ1922222-2-2-2-2220022-2-2-2-2000222222-2-2-2-2-2-200000000i2i2−i2−i20000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2000000000000000000002-200i2i2−i2−i20000
χ2022222-2-2-2-2220022-2-2-2-2000222222-2-2-2-2-2-200000000i2i2−i2−i20000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i200000000000000000000-2200−i2−i2i2i20000
χ2122222-2-2-2-2220022-2-2-2-2000222222-2-2-2-2-2-200000000−i2−i2i2i20000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2000000000000000000002-200−i2−i2i2i20000
χ2222222-2-2-2-2220022-2-2-2-2000222222-2-2-2-2-2-200000000−i2−i2i2i20000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i200000000000000000000-2200i2i2−i2−i20000
χ23222-2-222-2-222222222222-2-22-22-2-2-2-2-222-2-2222222222-22-2-2-2-2-222-2-222-2-222-2-222-2-200000000000000000000000000000000
χ24222-2-222-2-222222222222-2-22-22-2-2-2-2-222-2-222222222-22-22-2-2-2-2-2-222-2-222-2-222-2-22200000000000000000000000000000000
χ25222-2-222-2-222-2-2222222-2222-22-2-2-2-2-222-2-2-2-2-2-2-2-2-2-20000222200000000000000000000000000000000000000002-22-20000
χ26222-2-222-2-222-2-2222222-2222-22-2-2-2-2-222-2-2-2-2-2-2-2-2-2-2000022220000000000000000000000000000000000000000-22-220000
χ27222-2-222-2-2−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−522-2-2−1+521−52−1−521+521−521+521−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-22-21−521−521+521+52−1+52−1+521−521−52−1+52−1+521−521−52−1−52−1−521+521+52−1−52−1−521+521+520000−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14000000000000
χ28222-2-222-2-2−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−522-2-2−1+521−52−1−521+521−521+521−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-22-21−521−521+521+52−1+52−1+521−521−52−1+52−1+521−521−52−1−52−1−521+521+52−1−52−1−521+521+520000ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14000000000000
χ29222-2-222-2-2−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−522-2-2−1+521−52−1−521+521−521+521−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-22-221−521−521+521+521−521−52−1+52−1+521−521−52−1+52−1+521+521+52−1−52−1−521+521+52−1−52−1−520000−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14000000000000
χ30222-2-222-2-2−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−522-2-2−1+521−52−1−521+521−521+521−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-22-221−521−521+521+521−521−52−1+52−1+521−521−52−1+52−1+521+521+52−1−52−1−521+521+52−1−52−1−520000ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14000000000000
χ31222-2-222-2-2−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+522-2-2−1−521+52−1+521−521+521−521+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-22-21+521+521−521−52−1−52−1−521+521+52−1−52−1−521+521+52−1+52−1+521−521−52−1+52−1+521−521−520000ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38000000000000
χ32222-2-222-2-2−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+522-2-2−1−521+52−1+521−521+521−521+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-22-21+521+521−521−52−1−52−1−521+521+52−1−52−1−521+521+52−1+52−1+521−521−52−1+52−1+521−521−520000−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38000000000000
χ33222-2-222-2-2−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+522-2-2−1−521+52−1+521−521+521−521+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-22-221+521+521−521−521+521+52−1−52−1−521+521+52−1−52−1−521−521−52−1+52−1+521−521−52−1+52−1+520000ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38000000000000
χ34222-2-222-2-2−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+522-2-2−1−521+52−1+521−521+521−521+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-22-221+521+521−521−521+521+52−1−52−1−521+521+52−1−52−1−521−521−52−1+52−1+521−521−52−1+52−1+520000−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38000000000000
χ35222-2-2-2-222220022-2-2-2-20002-22-2-2-222-2-22200000000i2−i2−i2i20000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i200000000000000000000002-2i2−i2−i2i20000
χ36222-2-2-2-222220022-2-2-2-20002-22-2-2-222-2-22200000000i2−i2−i2i20000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i20000000000000000000000-22−i2i2i2−i20000
χ37222-2-2-2-222220022-2-2-2-20002-22-2-2-222-2-22200000000−i2i2i2−i20000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i200000000000000000000002-2−i2i2i2−i20000
χ38222-2-2-2-222220022-2-2-2-20002-22-2-2-222-2-22200000000−i2i2i2−i20000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i20000000000000000000000-22i2−i2−i2i20000
χ3922-22-2-22-22222222-2-2-2-2-2-22-22-22-2-22222-2-2-2-2-2-2222200002-22-20000000000000000002i−2i000000002i−2i2i−2i2i−2i2i−2i000000000000
χ4022-22-2-22-22222222-2-2-2-2-2-22-22-22-2-22222-2-2-2-2-2-2222200002-22-2000000000000000000−2i2i00000000−2i2i−2i2i−2i2i−2i2i000000000000
χ4122-22-2-22-2222-2-222-2-2-2-222-2-22-22-2-22222-2-22222-2-2-2-20000-22-2200000000000000000000000000000000000000000000002-2
χ4222-22-2-22-2222-2-222-2-2-2-222-2-22-22-2-22222-2-22222-2-2-2-20000-22-220000000000000000000000000000000000000000000000-22
χ4322-22-2-22-22−1+52−1−5222−1+52−1−521−521−521+521+52-2-221−52−1+521+52−1−521−521+52−1+52−1−52−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−520000−1+521−52−1−521+52ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36002i−2i−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14−ζ22−ζ38ζ22+ζ38−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14−ζ6−ζ14ζ6+ζ14000000000000
χ4422-22-2-22-22−1+52−1−5222−1+52−1−521−521−521+521+52-2-221−52−1+521+52−1−521−521+52−1+52−1−52−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−520000−1+521−52−1−521+52ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ3600−2i2iζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14ζ22+ζ38−ζ22−ζ38ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14ζ6+ζ14−ζ6−ζ14000000000000
χ4522-22-2-22-22−1+52−1−5222−1+52−1−521−521−521+521+52-2-221−52−1+521+52−1−521−521+52−1+52−1−52−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−520000−1+521−52−1−521+52−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36002i−2iζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ22−ζ38ζ22+ζ38−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14−ζ6−ζ14ζ6+ζ14000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.