Finite Group Databasebeta

← Group #13017089

Character table — Group #13017089

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size1111222244444444488444488881616161616161616163232555510101010202020202020202020404055551010101020202020202020202040405555101010102020202020202020204040
order12224444488888888445101010202020202040404040404040402020222244444888888884444444444488888888444444444448888888844
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
χ922222-22-2-2000000000022222-22-2-2000000000022222-22-2-2000000000022222-22-2-2000000000022222-22-2-20000000000
χ102222-22-22-200000000002222-22-22-200000000002222-22-22-200000000002222-22-22-200000000002222-22-22-20000000000
χ1122-2-2020-202−22−200000022-2-2020-202−22−200000022-2-2020-202−22−200000022-2-2020-202−22−200000022-2-2020-202−22−2000000
χ1222-2-2020-20−22−2200000022-2-2020-20−22−2200000022-2-2020-20−22−2200000022-2-2020-20−22−2200000022-2-2020-20−22−22000000
χ1322-2-20-2020i2−i2−i2i200000022-2-20-2020i2−i2−i2i200000022-2-20-2020i2−i2−i2i200000022-2-20-2020i2−i2−i2i200000022-2-20-2020i2−i2−i2i2000000
χ1422-2-20-2020−i2i2i2−i200000022-2-20-2020−i2i2i2−i200000022-2-20-2020−i2i2i2−i200000022-2-20-2020−i2i2i2−i200000022-2-20-2020−i2i2i2−i2000000
χ152-22-220-20000002−22−2002-22-220-20000002−22−2002-22-220-20000002−22−2002-22-220-20000002−22−2002-22-220-20000002−22−200
χ162-22-220-2000000−22−22002-22-220-2000000−22−22002-22-220-2000000−22−22002-22-220-2000000−22−22002-22-220-2000000−22−2200
χ172-22-2-202000000i2−i2−i2i2002-22-2-202000000i2−i2−i2i2002-22-2-202000000i2−i2−i2i2002-22-2-202000000i2−i2−i2i2002-22-2-202000000i2−i2−i2i200
χ182-22-2-202000000−i2i2i2−i2002-22-2-202000000−i2i2i2−i2002-22-2-202000000−i2i2i2−i2002-22-2-202000000−i2i2i2−i2002-22-2-202000000−i2i2i2−i200
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
χ2822222-22-2-2000000000022222-22-2-2000000000022222-22-2-20000000000-2-2-2-2-22-2220000000000-2-2-2-2-22-2220000000000
χ292222-22-22-200000000002222-22-22-200000000002222-22-22-20000000000-2-2-2-22-22-220000000000-2-2-2-22-22-220000000000
χ3022-2-2020-202−22−200000022-2-2020-202−22−200000022-2-2020-202−22−2000000-2-2220-2020−22−22000000-2-2220-2020−22−22000000
χ3122-2-2020-20−22−2200000022-2-2020-20−22−2200000022-2-2020-20−22−22000000-2-2220-20202−22−2000000-2-2220-20202−22−2000000
χ3222-2-20-2020i2−i2−i2i200000022-2-20-2020i2−i2−i2i200000022-2-20-2020i2−i2−i2i2000000-2-222020-20−i2i2i2−i2000000-2-222020-20−i2i2i2−i2000000
χ3322-2-20-2020−i2i2i2−i200000022-2-20-2020−i2i2i2−i200000022-2-20-2020−i2i2i2−i2000000-2-222020-20i2−i2−i2i2000000-2-222020-20i2−i2−i2i2000000
χ342-22-220-20000002−22−2002-22-220-20000002−22−2002-22-220-20000002−22−200-22-22-202000000−22−2200-22-22-202000000−22−2200
χ352-22-220-2000000−22−22002-22-220-2000000−22−22002-22-220-2000000−22−2200-22-22-2020000002−22−200-22-22-2020000002−22−200
χ362-22-2-202000000i2−i2−i2i2002-22-2-202000000i2−i2−i2i2002-22-2-202000000i2−i2−i2i200-22-2220-2000000−i2i2i2−i200-22-2220-2000000−i2i2i2−i200
χ372-22-2-202000000−i2i2i2−i2002-22-2-202000000−i2i2i2−i2002-22-2-202000000−i2i2i2−i200-22-2220-2000000i2−i2−i2i200-22-2220-2000000i2−i2−i2i200
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
χ4722222-22-2-2000000000022222-22-2-20000000000-2-2-2-2-22-22200000000002i2i2i2i2i−2i2i−2i−2i0000000000−2i−2i−2i−2i−2i2i−2i2i2i0000000000
χ482222-22-22-200000000002222-22-22-20000000000-2-2-2-22-22-2200000000002i2i2i2i−2i2i−2i2i−2i0000000000−2i−2i−2i−2i2i−2i2i−2i2i0000000000
χ4922-2-2020-202−22−200000022-2-2020-202−22−2000000-2-2220-2020−22−220000002i2i−2i−2i02i0−2i0i2−i2i2−i2000000−2i−2i2i2i0−2i02i0−i2i2−i2i2000000
χ5022-2-2020-20−22−2200000022-2-2020-20−22−22000000-2-2220-20202−22−20000002i2i−2i−2i02i0−2i0−i2i2−i2i2000000−2i−2i2i2i0−2i02i0i2−i2i2−i2000000
χ5122-2-20-2020i2−i2−i2i200000022-2-20-2020i2−i2−i2i2000000-2-222020-20−i2i2i2−i20000002i2i−2i−2i0−2i02i0−222−2000000−2i−2i2i2i02i0−2i02−2−22000000
χ5222-2-20-2020−i2i2i2−i200000022-2-20-2020−i2i2i2−i2000000-2-222020-20i2−i2−i2i20000002i2i−2i−2i0−2i02i02−2−22000000−2i−2i2i2i02i0−2i0−222−2000000
χ532-22-220-20000002−22−2002-22-220-20000002−22−200-22-22-202000000−22−22002i−2i2i−2i2i0−2i000000i2−i2i2−i200−2i2i−2i2i−2i02i000000−i2i2−i2i200
χ542-22-220-2000000−22−22002-22-220-2000000−22−2200-22-22-2020000002−22−2002i−2i2i−2i2i0−2i000000−i2i2−i2i200−2i2i−2i2i−2i02i000000i2−i2i2−i200
χ552-22-2-202000000i2−i2−i2i2002-22-2-202000000i2−i2−i2i200-22-2220-2000000−i2i2i2−i2002i−2i2i−2i−2i02i000000−222−200−2i2i−2i2i2i0−2i0000002−2−2200
χ562-22-2-202000000−i2i2i2−i2002-22-2-202000000−i2i2i2−i200-22-2220-2000000i2−i2−i2i2002i−2i2i−2i−2i02i0000002−2−2200−2i2i−2i2i2i0−2i000000−222−200
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
χ6622222-22-2-2000000000022222-22-2-20000000000-2-2-2-2-22-2220000000000−2i−2i−2i−2i−2i2i−2i2i2i00000000002i2i2i2i2i−2i2i−2i−2i0000000000
χ672222-22-22-200000000002222-22-22-20000000000-2-2-2-22-22-220000000000−2i−2i−2i−2i2i−2i2i−2i2i00000000002i2i2i2i−2i2i−2i2i−2i0000000000
χ6822-2-2020-202−22−200000022-2-2020-202−22−2000000-2-2220-2020−22−22000000−2i−2i2i2i0−2i02i0−i2i2−i2i20000002i2i−2i−2i02i0−2i0i2−i2i2−i2000000
χ6922-2-2020-20−22−2200000022-2-2020-20−22−22000000-2-2220-20202−22−2000000−2i−2i2i2i0−2i02i0i2−i2i2−i20000002i2i−2i−2i02i0−2i0−i2i2−i2i2000000
χ7022-2-20-2020i2−i2−i2i200000022-2-20-2020i2−i2−i2i2000000-2-222020-20−i2i2i2−i2000000−2i−2i2i2i02i0−2i02−2−220000002i2i−2i−2i0−2i02i0−222−2000000
χ7122-2-20-2020−i2i2i2−i200000022-2-20-2020−i2i2i2−i2000000-2-222020-20i2−i2−i2i2000000−2i−2i2i2i02i0−2i0−222−20000002i2i−2i−2i0−2i02i02−2−22000000
χ722-22-220-20000002−22−2002-22-220-20000002−22−200-22-22-202000000−22−2200−2i2i−2i2i−2i02i000000−i2i2−i2i2002i−2i2i−2i2i0−2i000000i2−i2i2−i200
χ732-22-220-2000000−22−22002-22-220-2000000−22−2200-22-22-2020000002−22−200−2i2i−2i2i−2i02i000000i2−i2i2−i2002i−2i2i−2i2i0−2i000000−i2i2−i2i200
χ742-22-2-202000000i2−i2−i2i2002-22-2-202000000i2−i2−i2i200-22-2220-2000000−i2i2i2−i200−2i2i−2i2i2i0−2i0000002−2−22002i−2i2i−2i−2i02i000000−222−200
χ752-22-2-202000000−i2i2i2−i2002-22-2-202000000−i2i2i2−i200-22-2220-2000000i2−i2−i2i200−2i2i−2i2i2i0−2i000000−222−2002i−2i2i−2i−2i02i0000002−2−2200
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
χ8588888-88-8-80000000000-2-2-2-2-22-2220000000000000000000000000000000000000000000000000000000000000000000
χ868888-88-88-80000000000-2-2-2-22-22-220000000000000000000000000000000000000000000000000000000000000000000
χ8788-8-8080-8042−4242−42000000-2-2220-2020−22−22000000000000000000000000000000000000000000000000000000000000000
χ8888-8-8080-80−4242−4242000000-2-2220-20202−22−2000000000000000000000000000000000000000000000000000000000000000
χ8988-8-80-80804i2−4i2−4i24i2000000-2-222020-20−i2i2i2−i2000000000000000000000000000000000000000000000000000000000000000
χ9088-8-80-8080−4i24i24i2−4i2000000-2-222020-20i2−i2−i2i2000000000000000000000000000000000000000000000000000000000000000
χ918-88-880-800000042−4242−4200-22-22-202000000−22−2200000000000000000000000000000000000000000000000000000000000
χ928-88-880-8000000−4242−424200-22-22-2020000002−22−200000000000000000000000000000000000000000000000000000000000
χ938-88-8-8080000004i2−4i2−4i24i200-22-2220-2000000−i2i2i2−i200000000000000000000000000000000000000000000000000000000000
χ948-88-8-808000000−4i24i24i2−4i200-22-2220-2000000i2−i2−i2i200000000000000000000000000000000000000000000000000000000000
χ9516-16-1616000000000000000-444-4000000000000000000000000000000000000000000000000000000000000000000000000

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