Finite Group Databasebeta

← Group #12018499

Character table — Group #12018499

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size1111222222222222224444444444444444444444448888888888888888888888881616161616161616161616161616161616161616404040404040404080808080
order122222444455101010101010888810101010202020202020202040404040404040401616161640404040808080808080808080808080808080804444202020202020202020202020202020202488161616162444
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
χ9222222222222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-20000-2-2-2-200000000000000000000000000000000000022-2-200000000
χ10222222222222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-20000-2-2-2-2000000000000000000000000000000000000-2-22200000000
χ112222222222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−522222−1+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
χ122222222222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+52000000000000
χ132222222222−1+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+52−1−52−1−52-2-2-2-2−1+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
χ142222222222−1+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+52−1−52−1−52-2-2-2-2−1+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
χ152222222222−1−52−1+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+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
χ162222222222−1−52−1+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+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
χ172222222222−1−52−1+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+52-2-2-2-2−1−52−1−52−1+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
χ182222222222−1−52−1+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+52-2-2-2-2−1−52−1−52−1+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
χ19222222-2-2-2-22222222200002222-2-2-2-2-2-2-2-20000000022−2−200002222−2−2−2−22222−2−2−2−2000000000000000000002-20022−2−20000
χ20222222-2-2-2-22222222200002222-2-2-2-2-2-2-2-20000000022−2−200002222−2−2−2−22222−2−2−2−200000000000000000000-2200−2−2220000
χ21222222-2-2-2-22222222200002222-2-2-2-2-2-2-2-200000000−2−2220000−2−2−2−22222−2−2−2−22222000000000000000000002-200−2−2220000
χ22222222-2-2-2-22222222200002222-2-2-2-2-2-2-2-200000000−2−2220000−2−2−2−22222−2−2−2−2222200000000000000000000-220022−2−20000
χ232222-2-22-2-22222222222-22-2-2-2-2-22-2-22-2-222222222220000-2-2-2-200000000000000002-2002222-2-2-2-200000000000000000000
χ242222-2-22-2-22222222222-22-2-2-2-2-22-2-22-2-222222222220000-2-2-2-20000000000000000-2200-2-2-2-2222200000000000000000000
χ252222-2-22-2-2222222222-22-22-2-2-2-22-2-22-2-222-2-2-2-2-2-2-2-200002222000000000000000000000000000000000000000000002-200
χ262222-2-22-2-2222222222-22-22-2-2-2-22-2-22-2-222-2-2-2-2-2-2-2-20000222200000000000000000000000000000000000000000000-2200
χ272222-2-22-2-22−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-22-21−521−521+521+52−1+521−521−52−1−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521−521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ362-200−1+52−1+52−1−52−1−521−521−521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36000000000000
χ282222-2-22-2-22−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-22-21−521−521+521+52−1+521−521−52−1−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521−521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36-22001−521−521+521+52−1+52−1+52−1−52−1−52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36000000000000
χ292222-2-22-2-22−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-22-21−521−521+521+52−1+521−521−52−1−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521−521+521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ362-200−1+52−1+52−1−52−1−521−521−521+521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36000000000000
χ302222-2-22-2-22−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-22-21−521−521+521+52−1+521−521−52−1−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521−521+521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36-22001−521−521+521+52−1+52−1+52−1−52−1−52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36000000000000
χ312222-2-22-2-22−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-22-21+521+521−521−52−1−521+521+52−1+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200001+521+521−521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ282-200−1−52−1−52−1+52−1+521+521+521−521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28000000000000
χ322222-2-22-2-22−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-22-21+521+521−521−52−1−521+521+52−1+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200001+521+521−521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28-22001+521+521−521−52−1−52−1−52−1+52−1+52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28000000000000
χ332222-2-22-2-22−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-22-21+521+521−521−52−1−521+521+52−1+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200001+521+521−521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ282-200−1−52−1−52−1+52−1+521+521+521−521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28000000000000
χ342222-2-22-2-22−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-22-21+521+521−521−52−1−521+521+52−1+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200001+521+521−521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28-22001+521+521−521−52−1−52−1−52−1+52−1+52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28000000000000
χ352-2-222-2-22-222222-2-2-2-22-2-222-22-2-22-2-22-2222222-2-2-2-200002-22-200000000000000000000000000000000000000000000002i−2i
χ362-2-222-2-22-222222-2-2-2-22-2-222-22-2-22-2-22-2222222-2-2-2-200002-22-20000000000000000000000000000000000000000000000−2i2i
χ372-2-222-2-22-222222-2-2-2-2-222-22-22-2-22-2-22-222-2-2-2-222220000-22-220000000000000000002i−2i000000002i−2i2i−2i2i−2i2i−2i000000000000
χ382-2-222-2-22-222222-2-2-2-2-222-22-22-2-22-2-22-222-2-2-2-222220000-22-22000000000000000000−2i2i00000000−2i2i−2i2i−2i2i−2i2i000000000000
χ392-2-222-2-22-22−1+52−1−52−1+52−1−521−521+521−521+52-222-2−1+521−52−1−521+521−52−1+521−521+52−1−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200001−52−1+521+52−1−52ζ12−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−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22−ζ38ζ22+ζ38−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14−ζ6−ζ14ζ6+ζ14000000000000
χ402-2-222-2-22-22−1+52−1−52−1+52−1−521−521+521−521+52-222-2−1+521−52−1−521+521−52−1+521−521+52−1−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200001−52−1+521+52−1−52ζ12−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+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22+ζ38−ζ22−ζ38ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14ζ6+ζ14−ζ6−ζ14000000000000
χ412-2-222-2-22-22−1+52−1−52−1+52−1−521−521+521−521+52-222-2−1+521−52−1−521+521−52−1+521−521+52−1−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200001−52−1+521+52−1−52−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+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22−ζ38ζ22+ζ38−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14−ζ6−ζ14ζ6+ζ14000000000000
χ422-2-222-2-22-22−1+52−1−52−1+52−1−521−521+521−521+52-222-2−1+521−52−1−521+521−52−1+521−521+52−1−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200001−52−1+521+52−1−52−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ3600−2i2i−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22+ζ38−ζ22−ζ38ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14ζ6+ζ14−ζ6−ζ14000000000000
χ432-2-222-2-22-22−1−52−1+52−1−52−1+521+521−521+521−52-222-2−1−521+52−1+521−521+52−1−521+521−52−1+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200001+52−1−521−52−1+52−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28002i−2i−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6−ζ14ζ6+ζ14−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38−ζ22−ζ38ζ22+ζ38000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.