Finite Group Databasebeta

← Group #152167

Character table — Group #152167

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11112222222222222222224444444444444444444444444488888888888888161616161616161632323232
order124422244488881616161616161616224488161616163232323232323232323232323232323288161616163232323232323232222244444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1
χ61111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ71111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111
χ81111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1
χ911111-1-1-1-111111-1-1-1-1-1-1-1-11-11-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i1-111-1-1iiii−i−i−i−i1-11-11-11-1i−ii−i
χ1011111-1-1-1-111111-1-1-1-1-1-1-1-11-11-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i1-111-1-1iiii−i−i−i−i-11-11-11-11−ii−ii
χ1111111-1-1-1-111111-1-1-1-1-1-1-1-11-11-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii1-111-1-1−i−i−i−iiiii1-11-11-11-1−ii−ii
χ1211111-1-1-1-111111-1-1-1-1-1-1-1-11-11-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii1-111-1-1−i−i−i−iiiii-11-11-11-11i−ii−i
χ1311111-1-1-1-111111-1-1-1-1-1-1-1-1-11-11-1-11111iiiiiiii−i−i−i−i−i−i−i−i-11-1-111−i−i−i−iiiii1-1-111-1-11i−i−ii
χ1411111-1-1-1-111111-1-1-1-1-1-1-1-1-11-11-1-11111iiiiiiii−i−i−i−i−i−i−i−i-11-1-111−i−i−i−iiiii-111-1-111-1−iii−i
χ1511111-1-1-1-111111-1-1-1-1-1-1-1-1-11-11-1-11111−i−i−i−i−i−i−i−iiiiiiiii-11-1-111iiii−i−i−i−i1-1-111-1-11−iii−i
χ1611111-1-1-1-111111-1-1-1-1-1-1-1-1-11-11-1-11111−i−i−i−i−i−i−i−iiiiiiiii-11-1-111iiii−i−i−i−i-111-1-111-1i−i−ii
χ1722222222222222-2-2-2-2-2-2-2-2222222-2-2-2-2000000000000000022-2-2-2-200000000000000000000
χ1822222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-20000000000000000-2-2222200000000000000000000
χ192222222222-2-2-2-2000000002222-2-200002222−2−2−2−22222−2−2−2−2-2-2000022−2−222−2−2000000000000
χ202222222222-2-2-2-2000000002222-2-20000−2−2−2−22222−2−2−2−22222-2-20000−2−222−2−222000000000000
χ212222222222-2-2-2-200000000-2-2-2-2-2-200002222−2−2−2−22222−2−2−2−2220000−2−222−2−222000000000000
χ222222222222-2-2-2-200000000-2-2-2-2-2-20000−2−2−2−22222−2−2−2−2222222000022−2−222−2−2000000000000
χ2322222-2-2-2-222222222222222-22-2-2-2-2-2-2-200000000000000002-2-2-22200000000000000000000
χ2422222-2-2-2-22222222222222-22-22-2-2-2-2-2-20000000000000000-2222-2-200000000000000000000
χ2522222-2-2-2-22-2-2-2-2000000002-22-2220000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2-220000i2i2−i2−i2−i2−i2i2i2000000000000
χ2622222-2-2-2-22-2-2-2-2000000002-22-2220000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2-220000−i2−i2i2i2i2i2−i2−i2000000000000
χ2722222-2-2-2-22-2-2-2-200000000-22-22220000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i22-20000−i2−i2i2i2i2i2−i2−i2000000000000
χ2822222-2-2-2-22-2-2-2-200000000-22-22220000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i22-20000i2i2−i2−i2−i2−i2i2i2000000000000
χ2922-2-2222-2-2-200002222−2−2−2−22-2-220022−2−2ζ2−ζ14ζ2−ζ14−ζ2+ζ14−ζ2+ζ14ζ6−ζ10ζ6−ζ10−ζ6+ζ10−ζ6+ζ10ζ2−ζ14ζ2−ζ14−ζ2+ζ14−ζ2+ζ14ζ6−ζ10ζ6−ζ10−ζ6+ζ10−ζ6+ζ10002−22−2ζ2−ζ14−ζ2+ζ14ζ6−ζ10−ζ6+ζ10ζ2−ζ14−ζ2+ζ14ζ6−ζ10−ζ6+ζ10000000000000
χ3022-2-2222-2-2-200002222−2−2−2−22-2-220022−2−2−ζ2+ζ14−ζ2+ζ14ζ2−ζ14ζ2−ζ14−ζ6+ζ10−ζ6+ζ10ζ6−ζ10ζ6−ζ10−ζ2+ζ14−ζ2+ζ14ζ2−ζ14ζ2−ζ14−ζ6+ζ10−ζ6+ζ10ζ6−ζ10ζ6−ζ10002−22−2−ζ2+ζ14ζ2−ζ14−ζ6+ζ10ζ6−ζ10−ζ2+ζ14ζ2−ζ14−ζ6+ζ10ζ6−ζ10000000000000
χ3122-2-2222-2-2-200002222−2−2−2−2-222-20022−2−2ζ2−ζ14ζ2−ζ14−ζ2+ζ14−ζ2+ζ14ζ6−ζ10ζ6−ζ10−ζ6+ζ10−ζ6+ζ10ζ2−ζ14ζ2−ζ14−ζ2+ζ14−ζ2+ζ14ζ6−ζ10ζ6−ζ10−ζ6+ζ10−ζ6+ζ1000−22−22−ζ2+ζ14ζ2−ζ14−ζ6+ζ10ζ6−ζ10−ζ2+ζ14ζ2−ζ14−ζ6+ζ10ζ6−ζ10000000000000
χ3222-2-2222-2-2-200002222−2−2−2−2-222-20022−2−2−ζ2+ζ14−ζ2+ζ14ζ2−ζ14ζ2−ζ14−ζ6+ζ10−ζ6+ζ10ζ6−ζ10ζ6−ζ10−ζ2+ζ14−ζ2+ζ14ζ2−ζ14ζ2−ζ14−ζ6+ζ10−ζ6+ζ10ζ6−ζ10ζ6−ζ1000−22−22ζ2−ζ14−ζ2+ζ14ζ6−ζ10−ζ6+ζ10ζ2−ζ14−ζ2+ζ14ζ6−ζ10−ζ6+ζ10000000000000
χ3322-2-2222-2-2-20000−2−2−2−222222-2-2200−2−222ζ6−ζ10ζ6−ζ10−ζ6+ζ10−ζ6+ζ10−ζ2+ζ14−ζ2+ζ14ζ2−ζ14ζ2−ζ14ζ6−ζ10ζ6−ζ10−ζ6+ζ10−ζ6+ζ10−ζ2+ζ14−ζ2+ζ14ζ2−ζ14ζ2−ζ1400−22−22ζ6−ζ10−ζ6+ζ10−ζ2+ζ14ζ2−ζ14ζ6−ζ10−ζ6+ζ10−ζ2+ζ14ζ2−ζ14000000000000
χ3422-2-2222-2-2-20000−2−2−2−222222-2-2200−2−222−ζ6+ζ10−ζ6+ζ10ζ6−ζ10ζ6−ζ10ζ2−ζ14ζ2−ζ14−ζ2+ζ14−ζ2+ζ14−ζ6+ζ10−ζ6+ζ10ζ6−ζ10ζ6−ζ10ζ2−ζ14ζ2−ζ14−ζ2+ζ14−ζ2+ζ1400−22−22−ζ6+ζ10ζ6−ζ10ζ2−ζ14−ζ2+ζ14−ζ6+ζ10ζ6−ζ10ζ2−ζ14−ζ2+ζ14000000000000
χ3522-2-2222-2-2-20000−2−2−2−22222-222-200−2−222ζ6−ζ10ζ6−ζ10−ζ6+ζ10−ζ6+ζ10−ζ2+ζ14−ζ2+ζ14ζ2−ζ14ζ2−ζ14ζ6−ζ10ζ6−ζ10−ζ6+ζ10−ζ6+ζ10−ζ2+ζ14−ζ2+ζ14ζ2−ζ14ζ2−ζ14002−22−2−ζ6+ζ10ζ6−ζ10ζ2−ζ14−ζ2+ζ14−ζ6+ζ10ζ6−ζ10ζ2−ζ14−ζ2+ζ14000000000000
χ3622-2-2222-2-2-20000−2−2−2−22222-222-200−2−222−ζ6+ζ10−ζ6+ζ10ζ6−ζ10ζ6−ζ10ζ2−ζ14ζ2−ζ14−ζ2+ζ14−ζ2+ζ14−ζ6+ζ10−ζ6+ζ10ζ6−ζ10ζ6−ζ10ζ2−ζ14ζ2−ζ14−ζ2+ζ14−ζ2+ζ14002−22−2ζ6−ζ10−ζ6+ζ10−ζ2+ζ14ζ2−ζ14ζ6−ζ10−ζ6+ζ10−ζ2+ζ14ζ2−ζ14000000000000
χ3722-2-22-2-222-200002222−2−2−2−222-2-200−2−222ζ2+ζ14ζ2+ζ14−ζ2−ζ14−ζ2−ζ14−ζ6−ζ10−ζ6−ζ10ζ6+ζ10ζ6+ζ10−ζ2−ζ14−ζ2−ζ14ζ2+ζ14ζ2+ζ14ζ6+ζ10ζ6+ζ10−ζ6−ζ10−ζ6−ζ1000−222−2ζ2+ζ14−ζ2−ζ14−ζ6−ζ10ζ6+ζ10−ζ2−ζ14ζ2+ζ14ζ6+ζ10−ζ6−ζ10000000000000
χ3822-2-22-2-222-200002222−2−2−2−222-2-200−2−222−ζ2−ζ14−ζ2−ζ14ζ2+ζ14ζ2+ζ14ζ6+ζ10ζ6+ζ10−ζ6−ζ10−ζ6−ζ10ζ2+ζ14ζ2+ζ14−ζ2−ζ14−ζ2−ζ14−ζ6−ζ10−ζ6−ζ10ζ6+ζ10ζ6+ζ1000−222−2−ζ2−ζ14ζ2+ζ14ζ6+ζ10−ζ6−ζ10ζ2+ζ14−ζ2−ζ14−ζ6−ζ10ζ6+ζ10000000000000
χ3922-2-22-2-222-200002222−2−2−2−2-2-22200−2−222ζ2+ζ14ζ2+ζ14−ζ2−ζ14−ζ2−ζ14−ζ6−ζ10−ζ6−ζ10ζ6+ζ10ζ6+ζ10−ζ2−ζ14−ζ2−ζ14ζ2+ζ14ζ2+ζ14ζ6+ζ10ζ6+ζ10−ζ6−ζ10−ζ6−ζ10002−2−22−ζ2−ζ14ζ2+ζ14ζ6+ζ10−ζ6−ζ10ζ2+ζ14−ζ2−ζ14−ζ6−ζ10ζ6+ζ10000000000000
χ4022-2-22-2-222-200002222−2−2−2−2-2-22200−2−222−ζ2−ζ14−ζ2−ζ14ζ2+ζ14ζ2+ζ14ζ6+ζ10ζ6+ζ10−ζ6−ζ10−ζ6−ζ10ζ2+ζ14ζ2+ζ14−ζ2−ζ14−ζ2−ζ14−ζ6−ζ10−ζ6−ζ10ζ6+ζ10ζ6+ζ10002−2−22ζ2+ζ14−ζ2−ζ14−ζ6−ζ10ζ6+ζ10−ζ2−ζ14ζ2+ζ14ζ6+ζ10−ζ6−ζ10000000000000
χ4122-2-22-2-222-20000−2−2−2−2222222-2-20022−2−2ζ6+ζ10ζ6+ζ10−ζ6−ζ10−ζ6−ζ10ζ2+ζ14ζ2+ζ14−ζ2−ζ14−ζ2−ζ14−ζ6−ζ10−ζ6−ζ10ζ6+ζ10ζ6+ζ10−ζ2−ζ14−ζ2−ζ14ζ2+ζ14ζ2+ζ14002−2−22ζ6+ζ10−ζ6−ζ10ζ2+ζ14−ζ2−ζ14−ζ6−ζ10ζ6+ζ10−ζ2−ζ14ζ2+ζ14000000000000
χ4222-2-22-2-222-20000−2−2−2−2222222-2-20022−2−2−ζ6−ζ10−ζ6−ζ10ζ6+ζ10ζ6+ζ10−ζ2−ζ14−ζ2−ζ14ζ2+ζ14ζ2+ζ14ζ6+ζ10ζ6+ζ10−ζ6−ζ10−ζ6−ζ10ζ2+ζ14ζ2+ζ14−ζ2−ζ14−ζ2−ζ14002−2−22−ζ6−ζ10ζ6+ζ10−ζ2−ζ14ζ2+ζ14ζ6+ζ10−ζ6−ζ10ζ2+ζ14−ζ2−ζ14000000000000
χ4322-2-22-2-222-20000−2−2−2−22222-2-2220022−2−2ζ6+ζ10ζ6+ζ10−ζ6−ζ10−ζ6−ζ10ζ2+ζ14ζ2+ζ14−ζ2−ζ14−ζ2−ζ14−ζ6−ζ10−ζ6−ζ10ζ6+ζ10ζ6+ζ10−ζ2−ζ14−ζ2−ζ14ζ2+ζ14ζ2+ζ1400−222−2−ζ6−ζ10ζ6+ζ10−ζ2−ζ14ζ2+ζ14ζ6+ζ10−ζ6−ζ10ζ2+ζ14−ζ2−ζ14000000000000
χ4422-2-22-2-222-20000−2−2−2−22222-2-2220022−2−2−ζ6−ζ10−ζ6−ζ10ζ6+ζ10ζ6+ζ10−ζ2−ζ14−ζ2−ζ14ζ2+ζ14ζ2+ζ14ζ6+ζ10ζ6+ζ10−ζ6−ζ10−ζ6−ζ10ζ2+ζ14ζ2+ζ14−ζ2−ζ14−ζ2−ζ1400−222−2ζ6+ζ10−ζ6−ζ10ζ2+ζ14−ζ2−ζ14−ζ6−ζ10ζ6+ζ10−ζ2−ζ14ζ2+ζ14000000000000
χ4522-2-2-22-22-22-2-22222-2-222-2-200002-22-22-2000000000000000000000000000000002200-2-20000
χ4622-2-2-22-22-22-2-22222-2-222-2-200002-22-22-200000000000000000000000000000000-2-200220000
χ4722-2-2-22-22-22-2-222-2-222-2-22200002-2-22-220000000000000000000000000000002-200-22000000
χ4822-2-2-22-22-22-2-222-2-222-2-22200002-2-22-22000000000000000000000000000000-22002-2000000
χ4922-2-2-2-22-222-2-22222-2-222-2-20000-22-22-220000000000000000000000000000002200-2-2000000
χ5022-2-2-2-22-222-2-22222-2-222-2-20000-22-22-22000000000000000000000000000000-2-20022000000
χ5122-2-2-2-22-222-2-222-2-222-2-2220000-222-22-2000000000000000000000000000000002-200-220000
χ5222-2-2-2-22-222-2-222-2-222-2-2220000-222-22-200000000000000000000000000000000-22002-20000
χ534444-44-4-44-400002222−22−22−22−22222200000022−22−2222000000000000000000000000000000000000000000
χ544444-44-4-44-40000−22−2222222222−22−22000000−222222−22000000000000000000000000000000000000000000
χ554444-4-444-4-400002222−22−22−22−222222000000−222222−22000000000000000000000000000000000000000000
χ564444-4-444-4-40000−22−2222222222−22−2200000022−22−2222000000000000000000000000000000000000000000
χ5744-4-4-44-44-4444-4-4000000000000-440000000000000000000000000000000000000000000000
χ5844-4-4-4-44-44444-4-40000000000004-40000000000000000000000000000000000000000000000
χ594-44i−4i0000002i2−2i222−222ζ2−2ζ14−2ζ2+2ζ142ζ2+2ζ14−2ζ2−2ζ142ζ6−2ζ10−2ζ6+2ζ102ζ6+2ζ10−2ζ6−2ζ1000000000002ζ−2ζ2ζ9−2ζ92ζ13−2ζ132ζ5−2ζ52ζ15−2ζ152ζ7−2ζ72ζ3−2ζ32ζ11−2ζ1100000000000000000000000000
χ604-44i−4i0000002i2−2i222−222ζ2−2ζ14−2ζ2+2ζ142ζ2+2ζ14−2ζ2−2ζ142ζ6−2ζ10−2ζ6+2ζ102ζ6+2ζ10−2ζ6−2ζ100000000000−2ζ2ζ−2ζ92ζ9−2ζ132ζ13−2ζ52ζ5−2ζ152ζ15−2ζ72ζ7−2ζ32ζ3−2ζ112ζ1100000000000000000000000000
χ614-44i−4i0000002i2−2i222−22−2ζ2+2ζ142ζ2−2ζ14−2ζ2−2ζ142ζ2+2ζ14−2ζ6+2ζ102ζ6−2ζ10−2ζ6−2ζ102ζ6+2ζ1000000000002ζ9−2ζ9−2ζ2ζ−2ζ52ζ52ζ13−2ζ132ζ7−2ζ7−2ζ152ζ15−2ζ112ζ112ζ3−2ζ300000000000000000000000000
χ624-44i−4i0000002i2−2i222−22−2ζ2+2ζ142ζ2−2ζ14−2ζ2−2ζ142ζ2+2ζ14−2ζ6+2ζ102ζ6−2ζ10−2ζ6−2ζ102ζ6+2ζ100000000000−2ζ92ζ92ζ−2ζ2ζ5−2ζ5−2ζ132ζ13−2ζ72ζ72ζ15−2ζ152ζ11−2ζ11−2ζ32ζ300000000000000000000000000
χ634-44i−4i000000−2i22i2−22222ζ6−2ζ10−2ζ6+2ζ10−2ζ6−2ζ102ζ6+2ζ10−2ζ2+2ζ142ζ2−2ζ142ζ2+2ζ14−2ζ2−2ζ1400000000002ζ13−2ζ13−2ζ52ζ52ζ9−2ζ92ζ−2ζ2ζ3−2ζ3−2ζ112ζ112ζ7−2ζ72ζ15−2ζ1500000000000000000000000000
χ644-44i−4i000000−2i22i2−22222ζ6−2ζ10−2ζ6+2ζ10−2ζ6−2ζ102ζ6+2ζ10−2ζ2+2ζ142ζ2−2ζ142ζ2+2ζ14−2ζ2−2ζ140000000000−2ζ132ζ132ζ5−2ζ5−2ζ92ζ9−2ζ2ζ−2ζ32ζ32ζ11−2ζ11−2ζ72ζ7−2ζ152ζ1500000000000000000000000000
χ654-44i−4i000000−2i22i2−2222−2ζ6+2ζ102ζ6−2ζ102ζ6+2ζ10−2ζ6−2ζ102ζ2−2ζ14−2ζ2+2ζ14−2ζ2−2ζ142ζ2+2ζ1400000000002ζ5−2ζ52ζ13−2ζ132ζ−2ζ−2ζ92ζ92ζ11−2ζ112ζ3−2ζ32ζ15−2ζ15−2ζ72ζ700000000000000000000000000
χ664-44i−4i000000−2i22i2−2222−2ζ6+2ζ102ζ6−2ζ102ζ6+2ζ10−2ζ6−2ζ102ζ2−2ζ14−2ζ2+2ζ14−2ζ2−2ζ142ζ2+2ζ140000000000−2ζ52ζ5−2ζ132ζ13−2ζ2ζ2ζ9−2ζ9−2ζ112ζ11−2ζ32ζ3−2ζ152ζ152ζ7−2ζ700000000000000000000000000
χ674-4−4i4i0000002i2−2i2−22222ζ6−2ζ10−2ζ6+2ζ102ζ6+2ζ10−2ζ6−2ζ10−2ζ2+2ζ142ζ2−2ζ14−2ζ2−2ζ142ζ2+2ζ1400000000002ζ3−2ζ3−2ζ112ζ112ζ7−2ζ72ζ15−2ζ152ζ13−2ζ13−2ζ52ζ52ζ9−2ζ92ζ−2ζ00000000000000000000000000
χ684-4−4i4i0000002i2−2i2−22222ζ6−2ζ10−2ζ6+2ζ102ζ6+2ζ10−2ζ6−2ζ10−2ζ2+2ζ142ζ2−2ζ14−2ζ2−2ζ142ζ2+2ζ140000000000−2ζ32ζ32ζ11−2ζ11−2ζ72ζ7−2ζ152ζ15−2ζ132ζ132ζ5−2ζ5−2ζ92ζ9−2ζ2ζ00000000000000000000000000
χ694-4−4i4i0000002i2−2i2−2222−2ζ6+2ζ102ζ6−2ζ10−2ζ6−2ζ102ζ6+2ζ102ζ2−2ζ14−2ζ2+2ζ142ζ2+2ζ14−2ζ2−2ζ1400000000002ζ11−2ζ112ζ3−2ζ32ζ15−2ζ15−2ζ72ζ72ζ5−2ζ52ζ13−2ζ132ζ−2ζ−2ζ92ζ900000000000000000000000000
χ704-4−4i4i0000002i2−2i2−2222−2ζ6+2ζ102ζ6−2ζ10−2ζ6−2ζ102ζ6+2ζ102ζ2−2ζ14−2ζ2+2ζ142ζ2+2ζ14−2ζ2−2ζ140000000000−2ζ112ζ11−2ζ32ζ3−2ζ152ζ152ζ7−2ζ7−2ζ52ζ5−2ζ132ζ13−2ζ2ζ2ζ9−2ζ900000000000000000000000000
χ714-4−4i4i000000−2i22i222−222ζ2−2ζ14−2ζ2+2ζ14−2ζ2−2ζ142ζ2+2ζ142ζ6−2ζ10−2ζ6+2ζ10−2ζ6−2ζ102ζ6+2ζ1000000000002ζ15−2ζ152ζ7−2ζ72ζ3−2ζ32ζ11−2ζ112ζ−2ζ2ζ9−2ζ92ζ13−2ζ132ζ5−2ζ500000000000000000000000000
χ724-4−4i4i000000−2i22i222−222ζ2−2ζ14−2ζ2+2ζ14−2ζ2−2ζ142ζ2+2ζ142ζ6−2ζ10−2ζ6+2ζ10−2ζ6−2ζ102ζ6+2ζ100000000000−2ζ152ζ15−2ζ72ζ7−2ζ32ζ3−2ζ112ζ11−2ζ2ζ−2ζ92ζ9−2ζ132ζ13−2ζ52ζ500000000000000000000000000
χ734-4−4i4i000000−2i22i222−22−2ζ2+2ζ142ζ2−2ζ142ζ2+2ζ14−2ζ2−2ζ14−2ζ6+2ζ102ζ6−2ζ102ζ6+2ζ10−2ζ6−2ζ1000000000002ζ7−2ζ7−2ζ152ζ15−2ζ112ζ112ζ3−2ζ32ζ9−2ζ9−2ζ2ζ−2ζ52ζ52ζ13−2ζ1300000000000000000000000000
χ744-4−4i4i000000−2i22i222−22−2ζ2+2ζ142ζ2−2ζ142ζ2+2ζ14−2ζ2−2ζ14−2ζ6+2ζ102ζ6−2ζ102ζ6+2ζ10−2ζ6−2ζ100000000000−2ζ72ζ72ζ15−2ζ152ζ11−2ζ11−2ζ32ζ3−2ζ92ζ92ζ−2ζ2ζ5−2ζ5−2ζ132ζ1300000000000000000000000000

Here ζ is a primitive root of unity of order 32 (ζ32 = 1); i = ζ8.