Finite Group Databasebeta

← Group #13019418

Character table — Group #13019418

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size111122224444444445555888888888888888810101010162020202020202020202020202032323232404040404040404040404040404080
order12224444458888101010222244202020202020404040404040404044444444444444888820202020444444888888884
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11
χ3111111111111111111111-1-1111111111111111111-111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1
χ4111111111111111111111-1-1111111111111111111-11-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1
χ511111111111111111-1-1-1-11111111111111111-1-1-1-11-1ii−i−iii−i−i-1-1-1-11111-1-1i−ii−iii−i−iii−i−i-1
χ611111111111111111-1-1-1-11111111111111111-1-1-1-11-1−i−iii−i−iii-1-1-1-11111-1-1−ii−ii−i−iii−i−iii-1
χ711111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1ii−i−i−i−iii-1-1-1-1-1-1-1-111−iii−iii−i−i−i−iii1
χ811111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1−i−iiiii−i−i-1-1-1-1-1-1-1-111i−i−ii−i−iiiii−i−i1
χ91111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1
χ101111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1
χ111111111111-1-1-1-11111111-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111
χ121111111111-1-1-1-11111111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11
χ131111111111-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i111111-1-1-1-1i−ii−i−i−iii−i−iii1
χ141111111111-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii111111-1-1-1-1−ii−iiii−i−iii−i−i1
χ151111111111-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1ii−i−i−i−iii1111-1-11111−iii−i−i−iiiii−i−i-1
χ161111111111-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1−i−iiiii−i−i1111-1-11111i−i−iiii−i−i−i−iii-1
χ17222222-2-2-22000022222220022-2-2-2-2000000002-22-20-2000022220000000000-2-200000000000
χ18222222-2-2-22000022222220022-2-2-2-2000000002-22-20-20000-2-2-2-200000000002200000000000
χ19222222-2-2-220000222-2-2-2-20022-2-2-2-200000000-22-220200002i2i−2i−2i0000000000−2i2i00000000000
χ20222222-2-2-220000222-2-2-2-20022-2-2-2-200000000-22-22020000−2i−2i2i2i00000000002i−2i00000000000
χ212222-2-222-220000222222200-2-222-2-200000000-22-220-222220000000000000000-2-2000000000
χ222222-2-222-220000222222200-2-222-2-200000000-22-220-2-2-2-2-2000000000000000022000000000
χ232222-2-222-220000222-2-2-2-200-2-222-2-2000000002-22-2022i2i−2i−2i0000000000000000−2i2i000000000
χ242222-2-222-220000222-2-2-2-200-2-222-2-2000000002-22-202−2i−2i2i2i00000000000000002i−2i000000000
χ252222-2-2-2-222000022222222-2-2-2-2-22200000000-2-2-2-2020000000000002-2002-20000000000000
χ262222-2-2-2-22200002222222-22-2-2-2-22200000000-2-2-2-202000000000000-2200-220000000000000
χ272222-2-2-2-2220000222-2-2-2-22-2-2-2-2-2220000000022220-20000000000002-200-220000000000000
χ282222-2-2-2-2220000222-2-2-2-2-22-2-2-2-2220000000022220-2000000000000-22002-20000000000000
χ292-22-2002-202i2i2−i2−i2-22-222-2-200002-200i2i2i2i2−i2−i2−i2−i20-202002-22-20000i2i2−i2−i20000000000i2−i2i2−i200000
χ302-22-2002-202i2i2−i2−i2-22-222-2-200002-200i2i2i2i2−i2−i2−i2−i20-20200-22-220000i2i2−i2−i20000000000−i2i2−i2i200000
χ312-22-2002-202i2i2−i2−i2-22-2-2-22200002-200i2i2i2i2−i2−i2−i2−i2020-2002i−2i−2i2i0000−i2−i2i2i20000000000−222−200000
χ322-22-2002-202i2i2−i2−i2-22-2-2-22200002-200i2i2i2i2−i2−i2−i2−i2020-200−2i2i2i−2i0000−i2−i2i2i200000000002−2−2200000
χ332-22-2002-202−i2−i2i2i2-22-222-2-200002-200−i2−i2−i2−i2i2i2i2i20-202002-22-20000−i2−i2i2i20000000000−i2i2−i2i200000
χ342-22-2002-202−i2−i2i2i2-22-222-2-200002-200−i2−i2−i2−i2i2i2i2i20-20200-22-220000−i2−i2i2i20000000000i2−i2i2−i200000
χ352-22-2002-202−i2−i2i2i2-22-2-2-22200002-200−i2−i2−i2−i2i2i2i2i2020-2002i−2i−2i2i0000i2i2−i2−i200000000002−2−2200000
χ362-22-2002-202−i2−i2i2i2-22-2-2-22200002-200−i2−i2−i2−i2i2i2i2i2020-200−2i2i2i−2i0000i2i2−i2−i20000000000−222−200000
χ372-2-222-20002i2−i2i2−i2-2-222-22-2002-20000i2i2−i2−i2i2i2−i2−i2-20200000002i−2i2i−2ii2−i2i2−i2000000000000002−22−20
χ382-2-222-20002i2−i2i2−i2-2-222-22-2002-20000i2i2−i2−i2i2i2−i2−i2-2020000000−2i2i−2i2ii2−i2i2−i200000000000000−22−220
χ392-2-222-20002i2−i2i2−i2-2-22-22-22002-20000i2i2−i2−i2i2i2−i2−i220-200000002-2-22−i2i2−i2i200000000000000−i2i2i2−i20
χ402-2-222-20002i2−i2i2−i2-2-22-22-22002-20000i2i2−i2−i2i2i2−i2−i220-20000000-222-2−i2i2−i2i200000000000000i2−i2−i2i20
χ412-2-222-20002−i2i2−i2i2-2-222-22-2002-20000−i2−i2i2i2−i2−i2i2i2-20200000002i−2i2i−2i−i2i2−i2i200000000000000−22−220
χ422-2-222-20002−i2i2−i2i2-2-222-22-2002-20000−i2−i2i2i2−i2−i2i2i2-2020000000−2i2i−2i2i−i2i2−i2i2000000000000002−22−20
χ432-2-222-20002−i2i2−i2i2-2-22-22-22002-20000−i2−i2i2i2−i2−i2i2i220-200000002-2-22i2−i2i2−i200000000000000i2−i2−i2i20
χ442-2-222-20002−i2i2−i2i2-2-22-22-22002-20000−i2−i2i2i2−i2−i2i2i220-20000000-222-2i2−i2i2−i200000000000000−i2i2i2−i20
χ45444444444-14444-1-1-1000044-1-1-1-1-1-1-1-1-1-1-1-1-1-1000040000000000000-1-1-1-1000000000000000
χ46444444444-14444-1-1-10000-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-400000000000001111000000000000000
χ47444444444-1-4-4-4-4-1-1-1000044-1-1-1-1-1-1111111110000-40000000000000-1-111000000000000000
χ48444444444-1-4-4-4-4-1-1-10000-4-4-1-1-1-1-1-11111111100004000000000000011-1-1000000000000000
χ494444-4-4-4-44-10000-1-1-100004-41111-1-15−55−55−55−5000000000000000000-115−5000000000000000
χ504444-4-4-4-44-10000-1-1-100004-41111-1-1−55−55−55−55000000000000000000-11−55000000000000000
χ514444-4-4-4-44-10000-1-1-10000-441111-1-15−55−55−55−50000000000000000001-1−55000000000000000
χ524444-4-4-4-44-10000-1-1-10000-441111-1-1−55−55−55−550000000000000000001-15−5000000000000000
χ5344-4-40000042-2-224-4-44-4-440000000022-2-2-2-222000000000000002-2-220000000000000000000
χ5444-4-40000042-2-224-4-4-444-40000000022-2-2-2-22200000000000000-222-20000000000000000000
χ5544-4-4000004-222-24-4-44-4-4400000000-2-22222-2-200000000000000-222-20000000000000000000
χ5644-4-4000004-222-24-4-4-444-400000000-2-22222-2-2000000000000002-2-220000000000000000000
χ574-44-400-44040000-44-444-4-40000-440000000000040-4000000000000000000000000000000000
χ584-44-400-44040000-44-4-4-4440000-4400000000000-404000000000000000000000000000000000
χ594-4-44-4400040000-4-444-44-400-4400000000000040-40000000000000000000000000000000000
χ604-4-44-4400040000-4-44-44-4400-44000000000000-4040000000000000000000000000000000000
χ61888888-8-8-8-20000-2-2-2000000-2-22222000000000000000000000000000000000000000000000
χ628888-8-888-8-20000-2-2-200000022-2-222000000000000000000000000000000000000000000000
χ6388-8-800000-24-4-44-222000000000025−25−1+5−1−51−51+51−51+5−1+5−1−50000000000000000000000000000000000000
χ6488-8-800000-24-4-44-2220000000000−2525−1−5−1+51+51−51+51−5−1−5−1+50000000000000000000000000000000000000
χ6588-8-800000-2-444-4-222000000000025−251−51+5−1+5−1−5−1+5−1−51−51+50000000000000000000000000000000000000
χ6688-8-800000-2-444-4-2220000000000−25251+51−5−1−5−1+5−1−5−1+51+51−50000000000000000000000000000000000000
χ678-88-8008-80-24i24i2−4i2−4i22-2200000000-2200−i2−i2−i2−i2i2i2i2i20000000000000000000000000000000000000
χ688-88-8008-80-2−4i2−4i24i24i22-2200000000-2200i2i2i2i2−i2−i2−i2−i20000000000000000000000000000000000000
χ698-88-800-880-200002-22000000002-200i10−i10i10−i10−i10i10−i10i100000000000000000000000000000000000000
χ708-88-800-880-200002-22000000002-200−i10i10−i10i10i10−i10i10−i100000000000000000000000000000000000000
χ718-8-888-8000-24i2−4i24i2−4i222-2000000-220000−i2−i2i2i2−i2−i2i2i20000000000000000000000000000000000000
χ728-8-888-8000-2−4i24i2−4i24i222-2000000-220000i2i2−i2−i2i2i2−i2−i20000000000000000000000000000000000000
χ738-8-88-88000-2000022-20000002-20000i10−i10−i10i10i10−i10−i10i100000000000000000000000000000000000000
χ748-8-88-88000-2000022-20000002-20000−i10i10i10−i10−i10i10i10−i100000000000000000000000000000000000000

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