Finite Group Databasebeta

← Group #14513488

Character table — Group #14513488

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size1111222222222222222222666666888810101010121212121212121212121212121212121212121212121212121212121216161616161616161616161616161616161624242424242424242460606060606080808080120120
order1222445510101010101020202020202020204488883666444424488101010102020202040404040404040404040404040404040121215153030303030306060606060606060420202020202020202488881212121224
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ4111111111111111111111111-1-1-1-11111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-111-1-111-11
χ61111-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111-1-111-1-11-1
χ71111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-11-1-1-1-111111-111-1-1-1-1111-1
χ81111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-11-1-1-1-11111-11-1-11111-1-1-11
χ92222222222222222222222220000-1-1-1-1222220000222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000220000-1-1-1-100
χ102222222222222222222222220000-1-1-1-1-2-2-2-220000222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000-2-20000111100
χ11222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222222222000022222−1+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+52−1−52−1−52−1−52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000
χ12222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222-2-2-2-2222200002-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-21−521−521+521+521−521−521+521+52000000000000
χ13222222−1−52−1+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+522222222222000022222−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000
χ14222222−1−52−1+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+5222-2-2-2-2222200002-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5222−1−52−1+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+52-21+521+521−521−521+521+521−521−52000000000000
χ152222-2-222222222-2-2-2-2-2-2-2-2220000-1-1-1-122-2-2-20000-2-2-2-22222000000000000000011-1-1-1-1-1-1-1-1111111110000000002-2000011-1-100
χ162222-2-222222222-2-2-2-2-2-2-2-2220000-1-1-1-1-2-222-20000-2-2-2-22222000000000000000011-1-1-1-1-1-1-1-111111111000000000-220000-1-11100
χ172222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5222222222220000-222-2-21−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2−1+52−1+52−1−52−1−521−521−521+521+52000000000000
χ182222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5222-2-2-2-222220000-2-2-2221−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+5221−521−521+521+52−1+52−1+52−1−52−1−52000000000000
χ192222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5222222222220000-222-2-21+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2−1−52−1−52−1+52−1+521+521+521−521−52000000000000
χ202222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5222-2-2-2-222220000-2-2-2221+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−5221+521+521−521−52−1−52−1−52−1+52−1+52000000000000
χ2122-2-2002222-2-2-2-2000000002-22i2i−2i−2i2-2-22000002i−2i00000022-2-22i2i−2i−2i2i2i−2i−2i000000000022-2-2-2-2220000000002i−2i2i−2i0000000000000000
χ2222-2-2002222-2-2-2-2000000002-2−2i−2i2i2i2-2-2200000−2i2i00000022-2-2−2i−2i2i2i−2i−2i2i2i000000000022-2-2-2-222000000000−2i2i−2i2i0000000000000000
χ2322-2-200−1+52−1−52−1+52−1−521−521−521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ362-22i2i−2i−2i2-2-22000002i−2i00ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1−521−521+52−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ1400−1+52−1−521−521−521+521+52−1+52−1−52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ360−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14000000000000
χ2422-2-200−1+52−1−52−1+52−1−521−521−521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ362-2−2i−2i2i2i2-2-2200000−2i2i00ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1−521−521+52ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ1400−1+52−1−521−521−521+521+52−1+52−1−52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ360ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14000000000000
χ2522-2-200−1+52−1−52−1+52−1−521−521−521+521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ362-22i2i−2i−2i2-2-22000002i−2i00−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1−521−521+52−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ1400−1+52−1−521−521−521+521+52−1+52−1−52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ360−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14000000000000
χ2622-2-200−1+52−1−52−1+52−1−521−521−521+521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ362-2−2i−2i2i2i2-2-2200000−2i2i00−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1−521−521+52ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ1400−1+52−1−521−521−521+521+52−1+52−1−52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ360ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14000000000000
χ2722-2-200−1−52−1+52−1−52−1+521+521+521−521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ282-22i2i−2i−2i2-2-22000002i−2i00−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1+521+521−52−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ3800−1−52−1+521+521+521−521−52−1−52−1+52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ280−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38000000000000
χ2822-2-200−1−52−1+52−1−52−1+521+521+521−521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ282-2−2i−2i2i2i2-2-2200000−2i2i00−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1+521+521−52ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ3800−1−52−1+521+521+521−521−52−1−52−1+52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ280ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38000000000000
χ2922-2-200−1−52−1+52−1−52−1+521+521+521−521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ282-22i2i−2i−2i2-2-22000002i−2i00ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1+521+521−52−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ3800−1−52−1+521+521+521−521−52−1−52−1+52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ280−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38000000000000
χ3022-2-200−1−52−1+52−1−52−1+521+521+521−521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ282-2−2i−2i2i2i2-2-2200000−2i2i00ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1+521+521−52ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ3800−1−52−1+521+521+521−521−52−1−52−1+52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ280ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38000000000000
χ312-22-22i−2i22-2-22-22-22i−2i2i−2i2i−2i2i−2i00i2−i2i2−i2-11-112i−2i2-20002−200000000i2−i2i2−i2i2−i2i2−i22−22−22−22−2i−i-1-11-11-111i−ii−ii−ii−i00000000000i2−i22−21-1i−i00
χ322-22-22i−2i22-2-22-22-22i−2i2i−2i2i−2i2i−2i00i2−i2i2−i2-11-11−2i2i-220002−200000000i2−i2i2−i2i2−i2i2−i22−22−22−22−2i−i-1-11-11-111i−ii−ii−ii−i00000000000−i2i2−22-11−ii00
χ332-22-22i−2i22-2-22-22-22i−2i2i−2i2i−2i2i−2i00−i2i2−i2i2-11-112i−2i2-2000−2200000000−i2i2−i2i2−i2i2−i2i2−22−22−22−22i−i-1-11-11-111i−ii−ii−ii−i00000000000−i2i2−221-1i−i00
χ342-22-22i−2i22-2-22-22-22i−2i2i−2i2i−2i2i−2i00−i2i2−i2i2-11-11−2i2i-22000−2200000000−i2i2−i2i2−i2i2−i2i2−22−22−22−22i−i-1-11-11-111i−ii−ii−ii−i00000000000i2−i22−2-11−ii00
χ352-22-2−2i2i22-2-22-22-2−2i2i−2i2i−2i2i−2i2i00i2−i2i2−i2-11-112i−2i-22000−2200000000i2−i2i2−i2i2−i2i2−i2−22−22−22−22−ii-1-11-11-111−ii−ii−ii−ii00000000000−i2i22−2-11i−i00
χ362-22-2−2i2i22-2-22-22-2−2i2i−2i2i−2i2i−2i2i00i2−i2i2−i2-11-11−2i2i2-2000−2200000000i2−i2i2−i2i2−i2i2−i2−22−22−22−22−ii-1-11-11-111−ii−ii−ii−ii00000000000i2−i2−221-1−ii00
χ372-22-2−2i2i22-2-22-22-2−2i2i−2i2i−2i2i−2i2i00−i2i2−i2i2-11-112i−2i-220002−200000000−i2i2−i2i2−i2i2−i2i22−22−22−22−2−ii-1-11-11-111−ii−ii−ii−ii00000000000i2−i2−22-11i−i00
χ382-22-2−2i2i22-2-22-22-2−2i2i−2i2i−2i2i−2i2i00−i2i2−i2i2-11-11−2i2i2-20002−200000000−i2i2−i2i2−i2i2−i2i22−22−22−22−2−ii-1-11-11-111−ii−ii−ii−ii00000000000−i2i22−21-1−ii00
χ393333333333333333333333-1-1111100003333-1-1-111-1-1-1-1-1-1-1-11111111111111111000000000000000000-1-1-1-1-1-1-1-1-1-1-111110000-1-1
χ403333333333333333333333-1-111110000-3-3-3-3-1-1-111-1-1-1-1-1-1-1-11111111111111111000000000000000000-1-1-1-1-1-1-1-1-111-1-1-1-1000011
χ413333333333333333333333-1-1-1-1-1-100003333-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000111111111-1-1-1-1-1-1000011
χ423333333333333333333333-1-1-1-1-1-10000-3-3-3-3-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000001111111111111110000-1-1
χ433333-3-333333333-3-3-3-3-3-3-3-3-1-11111000033-3-31-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-10000000000000000001-1-1-1-11111-11-1-11100001-1
χ443333-3-333333333-3-3-3-3-3-3-3-3-1-111110000-3-3331-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-10000000000000000001-1-1-1-111111-111-1-10000-11
χ453333-3-333333333-3-3-3-3-3-3-3-3-1-1-1-1-1-1000033-3-3111111111-1-1-1-1-1-1-1-1-1-1-1-111111111000000000000000000-11111-1-1-1-1-1111-1-10000-11
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χ1048-8-8800−2−25−2+252+252−252+25−2−252−25−2+25−4ζ6+4ζ144ζ6−4ζ144ζ6−4ζ14−4ζ6+4ζ144ζ22−4ζ38−4ζ22+4ζ38−4ζ22+4ζ384ζ22−4ζ3800000022-2-200000000000000000000000000000000000−1−52−1+52−1−521+52−1+521−521+521−52ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38000000000000000000000

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