Finite Group Databasebeta

← Group #13031899

Character table — Group #13031899

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size1111222244444444444445555555555558888881010101010101010101010101616161616161616162020202020202020202020202020202020202020202020202020203232404040404040
order12224444444445888810101044448888888844202020204444888888882020202020404040402224488888888888888888888882020248888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111-1-1-1-1iiii−i−i−i−i111111-1-1-1-1iiii−i−i−i−i111111111-1-1-1-1-1-1-1-1-1iiiii−i−i−i−i−iiiii−i−i−i−i11-1-1ii−i−i
χ4111111111111111111111-1-1-1-1−i−i−i−iiiii111111-1-1-1-1−i−i−i−iiiii111111111-1-1-1-1-1-1-1-1-1−i−i−i−i−iiiiii−i−i−i−iiiii11-1-1−i−iii
χ511111111111111-1-1-1-1111111111111111-1-1111111111111111111111-1-1-1-111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ711111111111111-1-1-1-1111-1-1-1-1iiii−i−i−i−i-1-11111-1-1-1-1iiii−i−i−i−i11111-1-1-1-1-1-1-1-1-11111iiiii−i−i−i−i−i−i−i−i−iiiii-1-111−i−iii
χ811111111111111-1-1-1-1111-1-1-1-1−i−i−i−iiiii-1-11111-1-1-1-1−i−i−i−iiiii11111-1-1-1-1-1-1-1-1-11111−i−i−i−i−iiiiiiiiii−i−i−i−i-1-111ii−i−i
χ9111111111-1-1-1-111111111111111111111-1-11111111111111111-1-11-1-111111-1-1-1-111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1
χ10111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-11111-11111-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ11111111111-1-1-1-111111111-1-1-1-1iiii−i−i−i−i-1-11111-1-1-1-1iiii−i−i−i−i-1-11-1-11111-11111-1-1-1-1i−i−i−i−i−iiiiiiiii−i−i−i−i-1-111−i−iii
χ12111111111-1-1-1-111111111-1-1-1-1−i−i−i−iiiii-1-11111-1-1-1-1−i−i−i−iiiii-1-11-1-11111-11111-1-1-1-1−iiiiii−i−i−i−i−i−i−i−iiiii-1-111ii−i−i
χ13111111111-1-1-1-11-1-1-1-1111111111111111111111111111111111-1-11-1-1-1-1-1-11-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111
χ14111111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11-1-1-1-1-1-1-1-1-11111-11111111111111111-1-1-1-1
χ15111111111-1-1-1-11-1-1-1-1111-1-1-1-1iiii−i−i−i−i111111-1-1-1-1iiii−i−i−i−i-1-11-1-1-1-1-1-1-111111111i−i−i−i−i−iiiii−i−i−i−iiiii11-1-1ii−i−i
χ16111111111-1-1-1-11-1-1-1-1111-1-1-1-1−i−i−i−iiiii111111-1-1-1-1−i−i−i−iiiii-1-11-1-1-1-1-1-1-111111111−iiiiii−i−i−i−iiiii−i−i−i−i11-1-1−i−iii
χ171111-1-111-111-1-1111-1-11111111111111111-11-1-11-1-11111-1-111-1-1-1-1-11111-1-1-111-1-111-1-1-111-1-1-111-1-111-1-111-1-1-111-11-11-1
χ181111-1-111-111-1-1111-1-11111111-1-1-1-1-1-1-1-11-11-1-11-1-111-1-111-1-111-1-1-11111-1-1-111-1-111-1-11-1-1111-1-111-1-111-1-111-111-1-11-11
χ191111-1-111-111-1-1111-1-1111-1-1-1-1iiii−i−i−i−i1-11-1-1111-1-1ii−i−i−i−iii-1-1-11111-1-11-1-111-1-111−iii−i−ii−i−iiiii−i−i−i−iii-11-11i−i−ii
χ201111-1-111-111-1-1111-1-1111-1-1-1-1−i−i−i−iiiii1-11-1-1111-1-1−i−iiiii−i−i-1-1-11111-1-11-1-111-1-111i−i−iii−iii−i−i−i−iiiii−i−i-11-11−iii−i
χ211111-1-111-111-1-11-1-111111111111111111-111-1-11-1-11111-1-111-1-1-1-1-111-1-111-111-1-1-1-111-111-1-1-111-1-1-1-111-1-1111-1-11-11-11
χ221111-1-111-111-1-11-1-1111111111-1-1-1-1-1-1-1-1-111-1-11-1-111-1-111-1-111-1-1-111-1-111-111-1-1-1-1111-1-1111-1-11111-1-111-1-11-1-111-11-1
χ231111-1-111-111-1-11-1-111111-1-1-1-1iiii−i−i−i−i-111-1-1111-1-1ii−i−i−i−iii-1-1-111-1-1111-1-11111-1-1−iii−i−ii−i−iii−i−iiiii−i−i1-11-1−iii−i
χ241111-1-111-111-1-11-1-111111-1-1-1-1−i−i−i−iiiii-111-1-1111-1-1−i−iiiii−i−i-1-1-111-1-1111-1-11111-1-1i−i−iii−iii−i−iii−i−i−i−iii1-11-1i−i−ii
χ251111-1-111-1-1-111111-1-1111111111111111-111-1-11-1-11111-1-111-1-111-1-1-111-1-1-1-1-11111-1-1-1-1-111-1-1-11111-1-111-1-11-1-11-11-11
χ261111-1-111-1-1-111111-1-11111111-1-1-1-1-1-1-1-1-111-1-11-1-111-1-111-1-11111-1-1-111-1-1-1-1-11111-1-1111-1-1111-1-1-1-111-1-1111-1-111-11-1
χ271111-1-111-1-1-111111-1-1111-1-1-1-1iiii−i−i−i−i-111-1-1111-1-1ii−i−i−i−iii11-1-1-111-1-1111-1-1-1-111−i−i−iiiiii−i−iii−i−i−i−iii1-11-1−iii−i
χ281111-1-111-1-1-111111-1-1111-1-1-1-1−i−i−i−iiiii-111-1-1111-1-1−i−iiiii−i−i11-1-1-111-1-1111-1-1-1-111iii−i−i−i−i−iii−i−iiiii−i−i1-11-1i−i−ii
χ291111-1-111-1-1-1111-1-1111111111111111111-11-1-11-1-11111-1-111-1-111-1-1-1-1-111-1-1-111-1-111-1-1-111-1-1-111-1-111-1-111-111-11-11-1
χ301111-1-111-1-1-1111-1-1111111111-1-1-1-1-1-1-1-11-11-1-11-1-111-1-111-1-11111-1-1-1-1-111-1-1-111-1-111111-1-1111-1-111-1-111-1-1-111-1-11-11
χ311111-1-111-1-1-1111-1-111111-1-1-1-1iiii−i−i−i−i1-11-1-1111-1-1ii−i−i−i−iii11-1-1-1-1-111111-1-111-1-1−i−i−iiiiii−i−i−i−iiiii−i−i-11-11i−i−ii
χ321111-1-111-1-1-1111-1-111111-1-1-1-1−i−i−i−iiiii1-11-1-1111-1-1−i−iiiii−i−i11-1-1-1-1-111111-1-111-1-1iii−i−i−i−i−iiiii−i−i−i−iii-11-11−iii−i
χ33222222-2-2-200002000022222222222222200-222-222-2-2-2-222-2-22200-2000000-200000000-20000-200000000000000000000
χ34222222-2-2-20000200002222222-2-2-2-2-2-2-2-200-222-222-2-222-2-222-2-200-2000000-20000000020000200000000000000000000
χ35222222-2-2-2000020000222-2-2-2-22i2i2i2i−2i−2i−2i−2i00-222-2-2-222−2i−2i2i2i2i2i−2i−2i00-2000000200000000−2i00002i00000000000000000000
χ36222222-2-2-2000020000222-2-2-2-2−2i−2i−2i−2i2i2i2i2i00-222-2-2-2222i2i−2i−2i−2i−2i2i2i00-20000002000000002i0000−2i00000000000000000000
χ372222-2-2-2-2200002000022222222222222200-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200200000020000000020000200000000000000000000
χ382222-2-2-2-220000200002222222-2-2-2-2-2-2-2-200-2-2-2-2-2-2-2-222222222002000000200000000-20000-200000000000000000000
χ392222-2-2-2-22000020000222-2-2-2-22i2i2i2i−2i−2i−2i−2i00-2-2-2-22222−2i−2i−2i−2i2i2i2i2i002000000-2000000002i0000−2i00000000000000000000
χ402222-2-2-2-22000020000222-2-2-2-2−2i−2i−2i−2i2i2i2i2i00-2-2-2-222222i2i2i2i−2i−2i−2i−2i002000000-200000000−2i00002i00000000000000000000
χ4122-2-22i−2i000000022−2i2−i2-2-2222-2-222-2-222-2-20002i−2i02i−2i00002i−2i002i−2i000002−2i2−i2000002−2i2−i200000000002−2i2−i22−2i2−i200000000
χ4222-2-22i−2i000000022−2i2−i2-2-2222-2-2-2-222-2-2220002i−2i02i−2i0000−2i2i00−2i2i000002−2i2−i2000002−2i2−i20000000000−22−i2i2−22−i2i200000000
χ4322-2-22i−2i000000022−2i2−i2-2-22-2-2222i2i−2i−2i−2i−2i2i2i0002i−2i0−2i2i0000-22002-2000002−2i2−i200000−22−i2i20000000000i2−i2−22−i2i22−200000000
χ4422-2-22i−2i000000022−2i2−i2-2-22-2-222−2i−2i2i2i2i2i−2i−2i0002i−2i0−2i2i00002-200-22000002−2i2−i200000−22−i2i20000000000−i2i22−2i2−i2−2200000000
χ4522-2-22i−2i00000002−22−i2i2-2-2222-2-222-2-222-2-20002i−2i02i−2i00002i−2i002i−2i00000−22−i2i200000−22−i2i20000000000−22−i2i2−22−i2i200000000
χ4622-2-22i−2i00000002−22−i2i2-2-2222-2-2-2-222-2-2220002i−2i02i−2i0000−2i2i00−2i2i00000−22−i2i200000−22−i2i200000000002−2i2−i22−2i2−i200000000
χ4722-2-22i−2i00000002−22−i2i2-2-22-2-2222i2i−2i−2i−2i−2i2i2i0002i−2i0−2i2i0000-22002-200000−22−i2i2000002−2i2−i20000000000−i2i22−2i2−i2−2200000000
χ4822-2-22i−2i00000002−22−i2i2-2-22-2-222−2i−2i2i2i2i2i−2i−2i0002i−2i0−2i2i00002-200-2200000−22−i2i2000002−2i2−i20000000000i2−i2−22−i2i22−200000000
χ4922-2-2−2i2i000000022−2−i2i2-2-2222-2-222-2-222-2-2000−2i2i0−2i2i0000−2i2i00−2i2i000002−2−i2i2000002−2−i2i200000000002−2−i2i22−2−i2i200000000
χ5022-2-2−2i2i000000022−2−i2i2-2-2222-2-2-2-222-2-222000−2i2i0−2i2i00002i−2i002i−2i000002−2−i2i2000002−2−i2i20000000000−22i2−i2−22i2−i200000000
χ5122-2-2−2i2i000000022−2−i2i2-2-22-2-2222i2i−2i−2i−2i−2i2i2i000−2i2i02i−2i00002-200-22000002−2−i2i200000−22i2−i20000000000i2−i22−2−i2i2−2200000000
χ5222-2-2−2i2i000000022−2−i2i2-2-22-2-222−2i−2i2i2i2i2i−2i−2i000−2i2i02i−2i0000-22002-2000002−2−i2i200000−22i2−i20000000000−i2i2−22i2−i22−200000000
χ5322-2-2−2i2i00000002−22i2−i2-2-2222-2-222-2-222-2-2000−2i2i0−2i2i0000−2i2i00−2i2i00000−22i2−i200000−22i2−i20000000000−22i2−i2−22i2−i200000000
χ5422-2-2−2i2i00000002−22i2−i2-2-2222-2-2-2-222-2-222000−2i2i0−2i2i00002i−2i002i−2i00000−22i2−i200000−22i2−i200000000002−2−i2i22−2−i2i200000000
χ5522-2-2−2i2i00000002−22i2−i2-2-22-2-2222i2i−2i−2i−2i−2i2i2i000−2i2i02i−2i00002-200-2200000−22i2−i2000002−2−i2i20000000000−i2i2−22i2−i22−200000000
χ5622-2-2−2i2i00000002−22i2−i2-2-22-2-222−2i−2i2i2i2i2i−2i−2i000−2i2i02i−2i0000-22002-200000−22i2−i2000002−2−i2i20000000000i2−i22−2−i2i2−2200000000
χ572-22-2002-202i−2i00200002-2-22i−2i2i−2i2ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ300-2002002i−2i2ζ−2ζ002ζ3−2ζ3000002i−2i000002-200000002ζ3−2ζ30002ζ−2ζ000000000000000000
χ582-22-2002-202i−2i00200002-2-22i−2i2i−2i−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ300-2002002i−2i−2ζ2ζ00−2ζ32ζ3000002i−2i000002-20000000−2ζ32ζ3000−2ζ2ζ000000000000000000
χ592-22-2002-202i−2i00200002-2-2−2i2i−2i2i2ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ00-200200−2i2i2ζ3−2ζ3002ζ−2ζ000002i−2i00000-220000000−2ζ2ζ000−2ζ32ζ3000000000000000000
χ602-22-2002-202i−2i00200002-2-2−2i2i−2i2i−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ00-200200−2i2i−2ζ32ζ300−2ζ2ζ000002i−2i00000-2200000002ζ−2ζ0002ζ3−2ζ3000000000000000000
χ612-22-2002-20−2i2i00200002-2-22i−2i2i−2i2ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ300-2002002i−2i2ζ−2ζ002ζ3−2ζ300000−2i2i00000-220000000−2ζ32ζ3000−2ζ2ζ000000000000000000
χ622-22-2002-20−2i2i00200002-2-22i−2i2i−2i−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ300-2002002i−2i−2ζ2ζ00−2ζ32ζ300000−2i2i00000-2200000002ζ3−2ζ30002ζ−2ζ000000000000000000
χ632-22-2002-20−2i2i00200002-2-2−2i2i−2i2i2ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ00-200200−2i2i2ζ3−2ζ3002ζ−2ζ00000−2i2i000002-200000002ζ−2ζ0002ζ3−2ζ3000000000000000000
χ642-22-2002-20−2i2i00200002-2-2−2i2i−2i2i−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ00-200200−2i2i−2ζ32ζ300−2ζ2ζ00000−2i2i000002-20000000−2ζ2ζ000−2ζ32ζ3000000000000000000
χ652-22-200-220002-2200002-2-22i−2i2i−2i2ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ300200-200−2i2i−2ζ2ζ00−2ζ32ζ3002-200000000002i−2i00000002ζ−2ζ0002ζ3−2ζ30000000000000000
χ662-22-200-220002-2200002-2-22i−2i2i−2i−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ300200-200−2i2i2ζ−2ζ002ζ3−2ζ3002-200000000002i−2i0000000−2ζ2ζ000−2ζ32ζ30000000000000000
χ672-22-200-220002-2200002-2-2−2i2i−2i2i2ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ00200-2002i−2i−2ζ32ζ300−2ζ2ζ002-20000000000−2i2i00000002ζ3−2ζ30002ζ−2ζ0000000000000000
χ682-22-200-220002-2200002-2-2−2i2i−2i2i−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ00200-2002i−2i2ζ3−2ζ3002ζ−2ζ002-20000000000−2i2i0000000−2ζ32ζ3000−2ζ2ζ0000000000000000
χ692-22-200-22000-22200002-2-22i−2i2i−2i2ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ300200-200−2i2i−2ζ2ζ00−2ζ32ζ300-220000000000−2i2i0000000−2ζ2ζ000−2ζ32ζ30000000000000000
χ702-22-200-22000-22200002-2-22i−2i2i−2i−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ300200-200−2i2i2ζ−2ζ002ζ3−2ζ300-220000000000−2i2i00000002ζ−2ζ0002ζ3−2ζ30000000000000000
χ712-22-200-22000-22200002-2-2−2i2i−2i2i2ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ00200-2002i−2i−2ζ32ζ300−2ζ2ζ00-2200000000002i−2i0000000−2ζ32ζ3000−2ζ2ζ0000000000000000
χ722-22-200-22000-22200002-2-2−2i2i−2i2i−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ00200-2002i−2i2ζ3−2ζ3002ζ−2ζ00-2200000000002i−2i00000002ζ3−2ζ30002ζ−2ζ0000000000000000
χ734444444444444-14444-1-1-100000000000044-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1000000000000000000000000000-1-1000000
χ744444444444444-1-4-4-4-4-1-1-1000000000000-4-4-1-1-1-1000000000000-1-1-1-1-1111100000000000000000000000000011000000
χ75444444444-4-4-4-4-14444-1-1-1000000000000-4-4-1-1-1-100000000000011-111-1-1-1-100000000000000000000000000011000000
χ76444444444-4-4-4-4-1-4-4-4-4-1-1-100000000000044-1-1-1-100000000000011-1111111000000000000000000000000000-1-1000000
χ774444-4-444-444-4-4-144-4-4-1-1-10000000000004-4-111-1000000000000111-1-1-1-1110000000000000000000000000001-1000000
χ784444-4-444-444-4-4-1-4-444-1-1-1000000000000-44-111-1000000000000111-1-111-1-1000000000000000000000000000-11000000
χ794444-4-444-4-4-444-144-4-4-1-1-1000000000000-44-111-1000000000000-1-1111-1-111000000000000000000000000000-11000000
χ804444-4-444-4-4-444-1-4-444-1-1-10000000000004-4-111-1000000000000-1-111111-1-10000000000000000000000000001-1000000
χ814-4-4400000000040000-44-44i−4i−4i4i4ζ−4ζ−4ζ4ζ4ζ3−4ζ3−4ζ34ζ300000000000000000000000000000000000000000000000000000000000000
χ824-4-4400000000040000-44-44i−4i−4i4i−4ζ4ζ4ζ−4ζ−4ζ34ζ34ζ3−4ζ300000000000000000000000000000000000000000000000000000000000000
χ834-4-4400000000040000-44-4−4i4i4i−4i4ζ3−4ζ3−4ζ34ζ34ζ−4ζ−4ζ4ζ00000000000000000000000000000000000000000000000000000000000000
χ844-4-4400000000040000-44-4−4i4i4i−4i−4ζ34ζ34ζ3−4ζ3−4ζ4ζ4ζ−4ζ00000000000000000000000000000000000000000000000000000000000000
χ85888888-8-8-80000-20000-2-2-2000000000000002-2-2200000000000000200000000000000000000000000000000000000000
χ868888-8-8-8-880000-20000-2-2-200000000000000222200000000000000-200000000000000000000000000000000000000000
χ8788-8-88i−8i0000000-242−424i2−4i222-2000000000000000−2i2i000000000000000000−22−i2i200000000000000000000000000000000000
χ8888-8-88i−8i0000000-2−4242−4i24i222-2000000000000000−2i2i0000000000000000002−2i2−i200000000000000000000000000000000000
χ8988-8-8−8i8i0000000-242−42−4i24i222-20000000000000002i−2i000000000000000000−22i2−i200000000000000000000000000000000000
χ9088-8-8−8i8i0000000-2−42424i2−4i222-20000000000000002i−2i0000000000000000002−2−i2i200000000000000000000000000000000000
χ918-88-8008-808i−8i00-20000-22200000000000000200-2000000000000000−2i2i000000000000000000000000000000000000000
χ928-88-8008-80−8i8i00-20000-22200000000000000200-20000000000000002i−2i000000000000000000000000000000000000000
χ938-88-800-880008-8-20000-22200000000000000-2002000000000000-22000000000000000000000000000000000000000000
χ948-88-800-88000-88-20000-22200000000000000-20020000000000002-2000000000000000000000000000000000000000000
χ9516-16-1616000000000-400004-4400000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.