Finite Group Databasebeta

← Group #13017027

Character table — Group #13017027

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size1111222244444444488444488881616161616161616163232555510101010202020202020202020404055551010101020202020202020202040405555101010102020202020202020204040
order12222244444448888445101010101020202020202020404040402020222222444444488884444444444444448888444444444444444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-1
χ3111111111-1-1-1-11111-1-1111111111-1-1-1-11111-1-1111111111-1-1-1-11111-1-1111111111-1-1-1-11111-1-1111111111-1-1-1-11111-1-1
χ4111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111
χ51111-1-1-1-11ii−i−iii−i−i1-11111-1-1-1-11ii−i−iii−i−i1-11111-1-1-1-11ii−i−iii−i−i1-11111-1-1-1-11ii−i−iii−i−i1-11111-1-1-1-11ii−i−iii−i−i1-1
χ61111-1-1-1-11ii−i−i−i−iii-111111-1-1-1-11ii−i−i−i−iii-111111-1-1-1-11ii−i−i−i−iii-111111-1-1-1-11ii−i−i−i−iii-111111-1-1-1-11ii−i−i−i−iii-11
χ71111-1-1-1-11−i−iiiii−i−i-111111-1-1-1-11−i−iiiii−i−i-111111-1-1-1-11−i−iiiii−i−i-111111-1-1-1-11−i−iiiii−i−i-111111-1-1-1-11−i−iiiii−i−i-11
χ81111-1-1-1-11−i−iii−i−iii1-11111-1-1-1-11−i−iii−i−iii1-11111-1-1-1-11−i−iii−i−iii1-11111-1-1-1-11−i−iii−i−iii1-11111-1-1-1-11−i−iii−i−iii1-1
χ9222222-2-2-20000000000222222-2-2-20000000000222222-2-2-20000000000222222-2-2-20000000000222222-2-2-20000000000
χ102222-2-222-200000000002222-2-222-200000000002222-2-222-200000000002222-2-222-200000000002222-2-222-20000000000
χ1122-2-22-200000002−22−20022-2-22-200000002−22−20022-2-22-200000002−22−20022-2-22-200000002−22−20022-2-22-200000002−22−200
χ1222-2-22-20000000−22−220022-2-22-20000000−22−220022-2-22-20000000−22−220022-2-22-20000000−22−220022-2-22-20000000−22−2200
χ1322-2-2-220000000i2−i2−i2i20022-2-2-220000000i2−i2−i2i20022-2-2-220000000i2−i2−i2i20022-2-2-220000000i2−i2−i2i20022-2-2-220000000i2−i2−i2i200
χ1422-2-2-220000000−i2i2i2−i20022-2-2-220000000−i2i2i2−i20022-2-2-220000000−i2i2i2−i20022-2-2-220000000−i2i2i2−i20022-2-2-220000000−i2i2i2−i200
χ152-22-2002i−2i01+i−1−i1−i−1+i0000002-22-2002i−2i01+i−1−i1−i−1+i0000002-22-2002i−2i01+i−1−i1−i−1+i0000002-22-2002i−2i01+i−1−i1−i−1+i0000002-22-2002i−2i01+i−1−i1−i−1+i000000
χ162-22-2002i−2i0−1−i1+i−1+i1−i0000002-22-2002i−2i0−1−i1+i−1+i1−i0000002-22-2002i−2i0−1−i1+i−1+i1−i0000002-22-2002i−2i0−1−i1+i−1+i1−i0000002-22-2002i−2i0−1−i1+i−1+i1−i000000
χ172-22-200−2i2i01−i−1+i1+i−1−i0000002-22-200−2i2i01−i−1+i1+i−1−i0000002-22-200−2i2i01−i−1+i1+i−1−i0000002-22-200−2i2i01−i−1+i1+i−1−i0000002-22-200−2i2i01−i−1+i1+i−1−i000000
χ182-22-200−2i2i0−1+i1−i−1−i1+i0000002-22-200−2i2i0−1+i1−i−1−i1+i0000002-22-200−2i2i0−1+i1−i−1−i1+i0000002-22-200−2i2i0−1+i1−i−1−i1+i0000002-22-200−2i2i0−1+i1−i−1−i1+i000000
χ194-4-440000000000000004-4-440000000000000004-4-440000000000000004-4-440000000000000004-4-44000000000000000
χ20111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ211111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ22111111111-1-1-1-11111-1-1111111111-1-1-1-11111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ23111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ241111-1-1-1-11ii−i−iii−i−i1-11111-1-1-1-11ii−i−iii−i−i1-11111-1-1-1-11ii−i−iii−i−i1-1-1-1-1-11111-1−i−iii−i−iii-11-1-1-1-11111-1−i−iii−i−iii-11
χ251111-1-1-1-11ii−i−i−i−iii-111111-1-1-1-11ii−i−i−i−iii-111111-1-1-1-11ii−i−i−i−iii-11-1-1-1-11111-1−i−iiiii−i−i1-1-1-1-1-11111-1−i−iiiii−i−i1-1
χ261111-1-1-1-11−i−iiiii−i−i-111111-1-1-1-11−i−iiiii−i−i-111111-1-1-1-11−i−iiiii−i−i-11-1-1-1-11111-1ii−i−i−i−iii1-1-1-1-1-11111-1ii−i−i−i−iii1-1
χ271111-1-1-1-11−i−iii−i−iii1-11111-1-1-1-11−i−iii−i−iii1-11111-1-1-1-11−i−iii−i−iii1-1-1-1-1-11111-1ii−i−iii−i−i-11-1-1-1-11111-1ii−i−iii−i−i-11
χ28222222-2-2-20000000000222222-2-2-20000000000222222-2-2-20000000000-2-2-2-2-2-22220000000000-2-2-2-2-2-22220000000000
χ292222-2-222-200000000002222-2-222-200000000002222-2-222-20000000000-2-2-2-222-2-220000000000-2-2-2-222-2-220000000000
χ3022-2-22-200000002−22−20022-2-22-200000002−22−20022-2-22-200000002−22−200-2-222-220000000−22−2200-2-222-220000000−22−2200
χ3122-2-22-20000000−22−220022-2-22-20000000−22−220022-2-22-20000000−22−2200-2-222-2200000002−22−200-2-222-2200000002−22−200
χ3222-2-2-220000000i2−i2−i2i20022-2-2-220000000i2−i2−i2i20022-2-2-220000000i2−i2−i2i200-2-2222-20000000−i2i2i2−i200-2-2222-20000000−i2i2i2−i200
χ3322-2-2-220000000−i2i2i2−i20022-2-2-220000000−i2i2i2−i20022-2-2-220000000−i2i2i2−i200-2-2222-20000000i2−i2−i2i200-2-2222-20000000i2−i2−i2i200
χ342-22-2002i−2i01+i−1−i1−i−1+i0000002-22-2002i−2i01+i−1−i1−i−1+i0000002-22-2002i−2i01+i−1−i1−i−1+i000000-22-2200−2i2i0−1−i1+i−1+i1−i000000-22-2200−2i2i0−1−i1+i−1+i1−i000000
χ352-22-2002i−2i0−1−i1+i−1+i1−i0000002-22-2002i−2i0−1−i1+i−1+i1−i0000002-22-2002i−2i0−1−i1+i−1+i1−i000000-22-2200−2i2i01+i−1−i1−i−1+i000000-22-2200−2i2i01+i−1−i1−i−1+i000000
χ362-22-200−2i2i01−i−1+i1+i−1−i0000002-22-200−2i2i01−i−1+i1+i−1−i0000002-22-200−2i2i01−i−1+i1+i−1−i000000-22-22002i−2i0−1+i1−i−1−i1+i000000-22-22002i−2i0−1+i1−i−1−i1+i000000
χ372-22-200−2i2i0−1+i1−i−1−i1+i0000002-22-200−2i2i0−1+i1−i−1−i1+i0000002-22-200−2i2i0−1+i1−i−1−i1+i000000-22-22002i−2i01−i−1+i1+i−1−i000000-22-22002i−2i01−i−1+i1+i−1−i000000
χ384-4-440000000000000004-4-440000000000000004-4-44000000000000000-444-4000000000000000-444-4000000000000000
χ3911111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ401111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiii
χ41111111111-1-1-1-11111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−iii
χ42111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111-1-1iiiiiiiii−i−i−i−i−i−i−i−iii−i−i−i−i−i−i−i−i−iiiiiiiii−i−i
χ431111-1-1-1-11ii−i−iii−i−i1-11111-1-1-1-11ii−i−iii−i−i1-1-1-1-1-11111-1−i−iii−i−iii-11iiii−i−i−i−ii-1-111-1-111i−i−i−i−i−iiiii−i11-1-111-1-1−ii
χ441111-1-1-1-11ii−i−i−i−iii-111111-1-1-1-11ii−i−i−i−iii-11-1-1-1-11111-1−i−iiiii−i−i1-1iiii−i−i−i−ii-1-11111-1-1−ii−i−i−i−iiiii−i11-1-1-1-111i−i
χ451111-1-1-1-11−i−iiiii−i−i-111111-1-1-1-11−i−iiiii−i−i-11-1-1-1-11111-1ii−i−i−i−iii1-1iiii−i−i−i−ii11-1-1-1-111−ii−i−i−i−iiiii−i-1-11111-1-1i−i
χ461111-1-1-1-11−i−iii−i−iii1-11111-1-1-1-11−i−iii−i−iii1-1-1-1-1-11111-1ii−i−iii−i−i-11iiii−i−i−i−ii11-1-111-1-1i−i−i−i−i−iiiii−i-1-111-1-111−ii
χ47222222-2-2-20000000000222222-2-2-20000000000-2-2-2-2-2-222200000000002i2i2i2i2i2i−2i−2i−2i0000000000−2i−2i−2i−2i−2i−2i2i2i2i0000000000
χ482222-2-222-200000000002222-2-222-20000000000-2-2-2-222-2-2200000000002i2i2i2i−2i−2i2i2i−2i0000000000−2i−2i−2i−2i2i2i−2i−2i2i0000000000
χ4922-2-22-200000002−22−20022-2-22-200000002−22−200-2-222-220000000−22−22002i2i−2i−2i2i−2i0000000i2−i2i2−i200−2i−2i2i2i−2i2i0000000−i2i2−i2i200
χ5022-2-22-20000000−22−220022-2-22-20000000−22−2200-2-222-2200000002−22−2002i2i−2i−2i2i−2i0000000−i2i2−i2i200−2i−2i2i2i−2i2i0000000i2−i2i2−i200
χ5122-2-2-220000000i2−i2−i2i20022-2-2-220000000i2−i2−i2i200-2-2222-20000000−i2i2i2−i2002i2i−2i−2i−2i2i0000000−222−200−2i−2i2i2i2i−2i00000002−2−2200
χ5222-2-2-220000000−i2i2i2−i20022-2-2-220000000−i2i2i2−i200-2-2222-20000000i2−i2−i2i2002i2i−2i−2i−2i2i00000002−2−2200−2i−2i2i2i2i−2i0000000−222−200
χ532-22-2002i−2i01+i−1−i1−i−1+i0000002-22-2002i−2i01+i−1−i1−i−1+i000000-22-2200−2i2i0−1−i1+i−1+i1−i0000002i−2i2i−2i00-220−1+i1−i1+i−1−i000000−2i2i−2i2i002-201−i−1+i−1−i1+i000000
χ542-22-2002i−2i0−1−i1+i−1+i1−i0000002-22-2002i−2i0−1−i1+i−1+i1−i000000-22-2200−2i2i01+i−1−i1−i−1+i0000002i−2i2i−2i00-2201−i−1+i−1−i1+i000000−2i2i−2i2i002-20−1+i1−i1+i−1−i000000
χ552-22-200−2i2i01−i−1+i1+i−1−i0000002-22-200−2i2i01−i−1+i1+i−1−i000000-22-22002i−2i0−1+i1−i−1−i1+i0000002i−2i2i−2i002-201+i−1−i−1+i1−i000000−2i2i−2i2i00-220−1−i1+i1−i−1+i000000
χ562-22-200−2i2i0−1+i1−i−1−i1+i0000002-22-200−2i2i0−1+i1−i−1−i1+i000000-22-22002i−2i01−i−1+i1+i−1−i0000002i−2i2i−2i002-20−1−i1+i1−i−1+i000000−2i2i−2i2i00-2201+i−1−i−1+i1−i000000
χ574-4-440000000000000004-4-44000000000000000-444-40000000000000004i−4i−4i4i000000000000000−4i4i4i−4i000000000000000
χ5811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiii
χ591111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i
χ60111111111-1-1-1-11111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111−i−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiiiiii−i−i−i−iiiii−i−i
χ61111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111-1-1−i−i−i−i−i−i−i−i−iiiiiiiii−i−iiiiiiiiii−i−i−i−i−i−i−i−iii
χ621111-1-1-1-11ii−i−iii−i−i1-11111-1-1-1-11ii−i−iii−i−i1-1-1-1-1-11111-1−i−iii−i−iii-11−i−i−i−iiiii−i11-1-111-1-1−iiiiii−i−i−i−ii-1-111-1-111i−i
χ631111-1-1-1-11ii−i−i−i−iii-111111-1-1-1-11ii−i−i−i−iii-11-1-1-1-11111-1−i−iiiii−i−i1-1−i−i−i−iiiii−i11-1-1-1-111i−iiiii−i−i−i−ii-1-11111-1-1−ii
χ641111-1-1-1-11−i−iiiii−i−i-111111-1-1-1-11−i−iiiii−i−i-11-1-1-1-11111-1ii−i−i−i−iii1-1−i−i−i−iiiii−i-1-11111-1-1i−iiiii−i−i−i−ii11-1-1-1-111−ii
χ651111-1-1-1-11−i−iii−i−iii1-11111-1-1-1-11−i−iii−i−iii1-1-1-1-1-11111-1ii−i−iii−i−i-11−i−i−i−iiiii−i-1-111-1-111−iiiiii−i−i−i−ii11-1-111-1-1i−i
χ66222222-2-2-20000000000222222-2-2-20000000000-2-2-2-2-2-22220000000000−2i−2i−2i−2i−2i−2i2i2i2i00000000002i2i2i2i2i2i−2i−2i−2i0000000000
χ672222-2-222-200000000002222-2-222-20000000000-2-2-2-222-2-220000000000−2i−2i−2i−2i2i2i−2i−2i2i00000000002i2i2i2i−2i−2i2i2i−2i0000000000
χ6822-2-22-200000002−22−20022-2-22-200000002−22−200-2-222-220000000−22−2200−2i−2i2i2i−2i2i0000000−i2i2−i2i2002i2i−2i−2i2i−2i0000000i2−i2i2−i200
χ6922-2-22-20000000−22−220022-2-22-20000000−22−2200-2-222-2200000002−22−200−2i−2i2i2i−2i2i0000000i2−i2i2−i2002i2i−2i−2i2i−2i0000000−i2i2−i2i200
χ7022-2-2-220000000i2−i2−i2i20022-2-2-220000000i2−i2−i2i200-2-2222-20000000−i2i2i2−i200−2i−2i2i2i2i−2i00000002−2−22002i2i−2i−2i−2i2i0000000−222−200
χ7122-2-2-220000000−i2i2i2−i20022-2-2-220000000−i2i2i2−i200-2-2222-20000000i2−i2−i2i200−2i−2i2i2i2i−2i0000000−222−2002i2i−2i−2i−2i2i00000002−2−2200
χ722-22-2002i−2i01+i−1−i1−i−1+i0000002-22-2002i−2i01+i−1−i1−i−1+i000000-22-2200−2i2i0−1−i1+i−1+i1−i000000−2i2i−2i2i002-201−i−1+i−1−i1+i0000002i−2i2i−2i00-220−1+i1−i1+i−1−i000000
χ732-22-2002i−2i0−1−i1+i−1+i1−i0000002-22-2002i−2i0−1−i1+i−1+i1−i000000-22-2200−2i2i01+i−1−i1−i−1+i000000−2i2i−2i2i002-20−1+i1−i1+i−1−i0000002i−2i2i−2i00-2201−i−1+i−1−i1+i000000
χ742-22-200−2i2i01−i−1+i1+i−1−i0000002-22-200−2i2i01−i−1+i1+i−1−i000000-22-22002i−2i0−1+i1−i−1−i1+i000000−2i2i−2i2i00-220−1−i1+i1−i−1+i0000002i−2i2i−2i002-201+i−1−i−1+i1−i000000
χ752-22-200−2i2i0−1+i1−i−1−i1+i0000002-22-200−2i2i0−1+i1−i−1−i1+i000000-22-22002i−2i01−i−1+i1+i−1−i000000−2i2i−2i2i00-2201+i−1−i−1+i1−i0000002i−2i2i−2i002-20−1−i1+i1−i−1+i000000
χ764-4-440000000000000004-4-44000000000000000-444-4000000000000000−4i4i4i−4i0000000000000004i−4i−4i4i000000000000000
χ774444444444444444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000000000000
χ784444444444444-4-4-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1111111000000000000000000000000000000000000000000000000000000000
χ79444444444-4-4-4-44444-4-4-1-1-1-1-1-1-1-1-11111-1-1-1-111000000000000000000000000000000000000000000000000000000000
χ80444444444-4-4-4-4-4-4-4-444-1-1-1-1-1-1-1-1-111111111-1-1000000000000000000000000000000000000000000000000000000000
χ814444-4-4-4-444i4i−4i−4i4i4i−4i−4i4-4-1-1-1-11111-1−i−iii−i−iii-11000000000000000000000000000000000000000000000000000000000
χ824444-4-4-4-444i4i−4i−4i−4i−4i4i4i-44-1-1-1-11111-1−i−iiiii−i−i1-1000000000000000000000000000000000000000000000000000000000
χ834444-4-4-4-44−4i−4i4i4i4i4i−4i−4i-44-1-1-1-11111-1ii−i−i−i−iii1-1000000000000000000000000000000000000000000000000000000000
χ844444-4-4-4-44−4i−4i4i4i−4i−4i4i4i4-4-1-1-1-11111-1ii−i−iii−i−i-11000000000000000000000000000000000000000000000000000000000
χ85888888-8-8-80000000000-2-2-2-2-2-22220000000000000000000000000000000000000000000000000000000000000000000
χ868888-8-888-80000000000-2-2-2-222-2-220000000000000000000000000000000000000000000000000000000000000000000
χ8788-8-88-8000000042−4242−4200-2-222-220000000−22−2200000000000000000000000000000000000000000000000000000000000
χ8888-8-88-80000000−4242−424200-2-222-2200000002−22−200000000000000000000000000000000000000000000000000000000000
χ8988-8-8-8800000004i2−4i2−4i24i200-2-2222-20000000−i2i2i2−i200000000000000000000000000000000000000000000000000000000000
χ9088-8-8-880000000−4i24i24i2−4i200-2-2222-20000000i2−i2−i2i200000000000000000000000000000000000000000000000000000000000
χ918-88-8008i−8i04+4i−4−4i4−4i−4+4i000000-22-2200−2i2i0−1−i1+i−1+i1−i000000000000000000000000000000000000000000000000000000000000000
χ928-88-8008i−8i0−4−4i4+4i−4+4i4−4i000000-22-2200−2i2i01+i−1−i1−i−1+i000000000000000000000000000000000000000000000000000000000000000
χ938-88-800−8i8i04−4i−4+4i4+4i−4−4i000000-22-22002i−2i0−1+i1−i−1−i1+i000000000000000000000000000000000000000000000000000000000000000
χ948-88-800−8i8i0−4+4i4−4i−4−4i4+4i000000-22-22002i−2i01−i−1+i1+i−1−i000000000000000000000000000000000000000000000000000000000000000
χ9516-16-1616000000000000000-444-4000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).