Finite Group Databasebeta

← Group #14513279

Character table — Group #14513279

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size1111222222222222222222666666888810101010121212121212121212121212121212121212121212121212121212121216161616161616161616161616161616161624242424242424242460606060606080808080120120
order12222255101010101010101010101010101044888836664444224882020202020202020404040404040404040404040404040406615153030303030303030303030303030210101010101010102488881212121244
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-111111111-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ4111111111111111111111111-1-1-1-11111-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111-1-1111111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111-1-111-1-11-1
χ61111-1-1111111-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-111-1-111-11
χ71111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-11-1-1-1-11111-11-1-11111-1-1-11
χ81111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-11-1-1-1-111111-111-1-1-1-1111-1
χ92222222222222222222222220000-1-1-1-1222200200222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000220000-1-1-1-100
χ102222222222222222222222220000-1-1-1-1-2-2-2-200200222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000-2-20000111100
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+52−1−5222-2-2-2-222220000-2-22-2-2−1+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+5222-2-2-2-222220000-2-22-2-2−1−52−1+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
χ152222-2-2222222-2-2-2-2-2-2-2-222220000-1-1-1-122-2-200-20022-2-2-2-222000000000000000011-1-1-1-1-1-1-1-111111111000000000-220000-1-11100
χ162222-2-2222222-2-2-2-2-2-2-2-222220000-1-1-1-1-2-22200-20022-2-2-2-222000000000000000011-1-1-1-1-1-1-1-1111111110000000002-2000011-1-100
χ172222-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1−522222222222000022-2-2-2−1+52−1−521−521−521+521+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+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1−5222-2-2-2-222220000-2-2-222−1+52−1−521−521−521+521+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+521+521+521+521+521−521−521−521−52−1−52−1+522222222222000022-2-2-2−1−52−1+521+521+521−521−52−1−52−1+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+521+521+521+521+521−521−521−521−52−1−52−1+5222-2-2-2-222220000-2-2-222−1−52−1+521+521+521−521−52−1−52−1+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
χ2122-2-22-2222-22-222-2-222-2-2-2-200i2i2−i2−i2-1-1112i−2i2i−2i000i2−i200000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i21-1-1-111-111-111-1-111-1-1000000000002−22−2i−ii−i00
χ2222-2-22-2222-22-222-2-222-2-2-2-200i2i2−i2−i2-1-111−2i2i−2i2i000i2−i200000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i21-1-1-111-111-111-1-111-1-100000000000−22−22−ii−ii00
χ2322-2-22-2222-22-222-2-222-2-2-2-200−i2−i2i2i2-1-1112i−2i2i−2i000−i2i200000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i21-1-1-111-111-111-1-111-1-100000000000−22−22i−ii−i00
χ2422-2-22-2222-22-222-2-222-2-2-2-200−i2−i2i2i2-1-111−2i2i−2i2i000−i2i200000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i21-1-1-111-111-111-1-111-1-1000000000002−22−2−ii−ii00
χ2522-2-2-22222-22-2-2-222-2-222-2-200i2i2−i2−i2-1-1112i−2i−2i2i000−i2i200000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2-11-1-111-111-1-1-111-1-111000000000002−2−22i−i−ii00
χ2622-2-2-22222-22-2-2-222-2-222-2-200i2i2−i2−i2-1-111−2i2i2i−2i000−i2i200000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2-11-1-111-111-1-1-111-1-11100000000000−222−2−iii−i00
χ2722-2-2-22222-22-2-2-222-2-222-2-200−i2−i2i2i2-1-1112i−2i−2i2i000i2−i200000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2-11-1-111-111-1-1-111-1-11100000000000−222−2i−i−ii00
χ2822-2-2-22222-22-2-2-222-2-222-2-200−i2−i2i2i2-1-111−2i2i2i−2i000i2−i200000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2-11-1-111-111-1-1-111-1-111000000000002−2−22−iii−i00
χ292-2-220022-2-2-2-20000000022-222-22-22-22-200002-2000-2-20000222-22-22-22-20000000000222-2-22-2-20000000002-22-20000000000000000
χ302-2-220022-2-2-2-20000000022-22-22-222-22-20000-22000-2-2000022-22-22-22-220000000000222-2-22-2-2000000000-22-220000000000000000
χ312-2-2200−1+52−1−521−521−521+521+52ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−1+52−1−52-222-22-22-22-200002-20001−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1−52−1+521−52−1+521−52−1−521+52−1−521+52ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ3600−1+52−1−52−1+521−521−52−1−521+521+52ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ360−1+521−52−1−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000
χ322-2-2200−1+52−1−521−521−521+521+52ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−1+52−1−52-22-22-222-22-20000-220001−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1−521−52−1+521−52−1+521+52−1−521+52−1−52−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ3600−1+52−1−52−1+521−521−52−1−521+521+52ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ3601−52−1+521+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000
χ332-2-2200−1+52−1−521−521−521+521+52−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36−1+52−1−52-222-22-22-22-200002-20001−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1−52−1+521−52−1+521−52−1−521+52−1−521+52−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ3600−1+52−1−52−1+521−521−52−1−521+521+52−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ360−1+521−52−1−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000
χ342-2-2200−1+52−1−521−521−521+521+52−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36−1+52−1−52-22-22-222-22-20000-220001−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1−521−52−1+521−52−1+521+52−1−521+52−1−52ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ3600−1+52−1−52−1+521−521−52−1−521+521+52−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ3601−52−1+521+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000
χ352-2-2200−1−52−1+521+521+521−521−52−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−1−52−1+52-222-22-22-22-200002-20001+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1+52−1−521+52−1−521+52−1+521−52−1+521−52−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ2800−1−52−1+52−1−521+521+52−1+521−521−52−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ280−1−521+52−1+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000000
χ362-2-2200−1−52−1+521+521+521−521−52−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−1−52−1+52-22-22-222-22-20000-220001+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1+521+52−1−521+52−1−521−52−1+521−52−1+52ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ2800−1−52−1+52−1−521+521+52−1+521−521−52−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ2801+52−1−521−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000000
χ372-2-2200−1−52−1+521+521+521−521−52ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−1−52−1+52-222-22-22-22-200002-20001+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1+52−1−521+52−1−521+52−1+521−52−1+521−52ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ2800−1−52−1+52−1−521+521+52−1+521−521−52ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ280−1−521+52−1+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000000
χ382-2-2200−1−52−1+521+521+521−521−52ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−1−52−1+52-22-22-222-22-20000-220001+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1+521+52−1−521+52−1−521−52−1+521−52−1+52−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ2800−1−52−1+52−1−521+521+52−1+521−521−52ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ2801+52−1−521−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000000
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
χ413333333333333333333333-1-1-1-1-1-10000333311-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000111111111-1-1-1-1-1-1000011
χ423333333333333333333333-1-1-1-1-1-10000-3-3-3-311-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000001111111111111110000-1-1
χ433333-3-3333333-3-3-3-3-3-3-3-333-1-11111000033-3-3-1-11-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-10000000000000000001-1-1-1-111111-111-1-10000-11
χ443333-3-3333333-3-3-3-3-3-3-3-333-1-111110000-3-333-1-11-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-10000000000000000001-1-1-1-11111-11-1-11100001-1
χ453333-3-3333333-3-3-3-3-3-3-3-333-1-1-1-1-1-1000033-3-311111-1-11111-1-1-1-1-1-1-1-1-1-111111111000000000000000000-11111-1-1-1-11-1-1-11100001-1
χ463333-3-3333333-3-3-3-3-3-3-3-333-1-1-1-1-1-10000-3-33311111-1-11111-1-1-1-1-1-1-1-1-1-111111111000000000000000000-11111-1-1-1-1-1111-1-10000-11
χ47444444−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−5−1+5−1−5440000-2-2-2-2000000400−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−50000000000000000-2-21−521+521−521−521−521+521+521+521−521−521−521−521+521+521+521+52000000000000000000000
χ48444444−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+5−1−5−1+5440000-2-2-2-2000000400−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+50000000000000000-2-21+521−521+521+521+521−521−521−521+521+521+521+521−521−521−521−52000000000000000000000
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χ1038-88-800−2−25−2+252+25−2−252−25−2+25−4ζ4+4ζ364ζ4−4ζ364ζ4−4ζ36−4ζ4+4ζ36−4ζ12+4ζ284ζ12−4ζ284ζ12−4ζ28−4ζ12+4ζ282+252−250000002-2-2200000000000000000000000000000000000−1−52−1+521+52−1−521+521−52−1+521−52ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28000000000000000000000
χ1048-88-800−2−25−2+252+25−2−252−25−2+254ζ4−4ζ36−4ζ4+4ζ36−4ζ4+4ζ364ζ4−4ζ364ζ12−4ζ28−4ζ12+4ζ28−4ζ12+4ζ284ζ12−4ζ282+252−250000002-2-2200000000000000000000000000000000000−1−52−1+521+52−1−521+521−52−1+521−52−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28000000000000000000000

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