Finite Group Databasebeta

← Group #300943

Character table — Group #300943

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11111111222222224444444444444488888888888888888888888888161616161616161616163232
order12222222444444442222448888888822444444448888888888888888222444888822
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-111-1-11-1
χ61111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-11-1-1-1-111-11
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-11
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11-11111-1-11-1
χ91111111111111111-1-1-1-11111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111
χ101111111111111111-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1
χ111111111111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1
χ121111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111
χ131111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1111-1-1111-1
χ141111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-111111-1-1-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111111-1-1-111-1-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1111-1-1-1-1-1111-1
χ17222222222-22-2-222-20000-2-22222-2-2-2-222000000-2-20000000000000000002-200000000
χ18222222222-22-2-222-20000-2-22222-2-2-2-2-2-200000022000000000000000000-2200000000
χ19222222222-22-2-222-20000-2-2-2-2-2-222222200000022000000000000000000-2-200000000
χ20222222222-22-2-222-20000-2-2-2-2-2-22222-2-2000000-2-20000000000000000002200000000
χ2122222222-22-222-2-222222-2-2000000000022-2-2-2-20022-2-2000000000000000000000000
χ2222222222-22-222-2-222222-2-20000000000-2-222-2-200-2-222000000000000000000000000
χ2322222222-22-222-2-22-2-2-2-2-2-2000000000022-2-22200-2-222000000000000000000000000
χ2422222222-22-222-2-22-2-2-2-2-2-20000000000-2-222220022-2-2000000000000000000000000
χ2522-2-22-2-220-202-200222-2-20022−2−222−2−200002-20000002-222−2−222−2−222−2−2000000000000
χ2622-2-22-2-220-202-200222-2-20022−2−222−2−20000-22000000-22−2−22222−2−2−2−222000000000000
χ2722-2-22-2-220-202-200222-2-200−2−222−2−22200002-20000002-2−2−222−2−222−2−222000000000000
χ2822-2-22-2-220-202-200222-2-200−2−222−2−2220000-22000000-2222−2−2−2−22222−2−2000000000000
χ2922-2-22-2-220-202-2002-2-2220022−2−222−2−200002-2000000-2222−2−2−2−222−2−222000000000000
χ3022-2-22-2-220-202-2002-2-2220022−2−222−2−20000-220000002-2−2−222−2−22222−2−2000000000000
χ3122-2-22-2-220-202-2002-2-22200−2−222−2−22200002-2000000-22−2−22222−2−222−2−2000000000000
χ3222-2-22-2-220-202-2002-2-22200−2−222−2−2220000-220000002-222−2−222−2−2−2−222000000000000
χ332-22-2-22-220-20-220022-22-2002−22−22−22−2002-20000002-2002−22−22−22−22−22−2000000000000
χ342-22-2-22-220-20-220022-22-2002−22−22−22−200-22000000-2200−22−222−22−2−22−22000000000000
χ352-22-2-22-220-20-220022-22-200−22−22−22−22002-20000002-200−22−22−22−22−22−22000000000000
χ362-22-2-22-220-20-220022-22-200−22−22−22−2200-22000000-22002−22−2−22−222−22−2000000000000
χ372-22-2-22-220-20-22002-22-22002−22−22−22−2002-2000000-22002−22−2−22−22−22−22000000000000
χ382-22-2-22-220-20-22002-22-22002−22−22−22−200-220000002-200−22−22−22−222−22−2000000000000
χ392-22-2-22-220-20-22002-22-2200−22−22−22−22002-2000000-2200−22−222−22−22−22−2000000000000
χ402-22-2-22-220-20-22002-22-2200−22−22−22−2200-220000002-2002−22−22−22−2−22−22000000000000
χ412-2-22-2-22222-2-2-22-222-2-22-22000000000000002-20000002-2-2200002-2-22000000000000
χ422-2-22-2-22222-2-2-22-222-2-22-22000000000000002-2000000-222-20000-222-2000000000000
χ432-2-22-2-22222-2-2-22-22-222-2-2200000000000000-220000002-2-220000-222-2000000000000
χ442-2-22-2-22222-2-2-22-22-222-2-2200000000000000-22000000-222-200002-2-22000000000000
χ452-2-22-2-222-222-2-2-2222-2-222-22-2-222-2-22000000-2200000000002-2-220000000000000000
χ462-2-22-2-222-222-2-2-2222-2-222-2-222-2-222-2000000-220000000000-222-20000000000000000
χ472-2-22-2-222-222-2-2-222-222-22-22-2-222-2-220000002-20000000000-222-20000000000000000
χ482-2-22-2-222-222-2-2-222-222-22-2-222-2-222-20000002-200000000002-2-220000000000000000
χ492-2-22-2-222-2-2222-22-20000-222-2-22-222-2000000000000000000000000002-2002-2000000
χ502-2-22-2-222-2-2222-22-20000-222-2-22-222-200000000000000000000000000-2200-22000000
χ512-2-22-2-222-2-2222-22-20000-22-222-22-2-22000000000000000000000000002-200-22000000
χ522-2-22-2-222-2-2222-22-20000-22-222-22-2-2200000000000000000000000000-22002-2000000
χ5344444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000000
χ54444-4-4-44-440400-4-4000000000000000000000004i−4i0000000000000000000000000000
χ55444-4-4-44-440400-4-400000000000000000000000−4i4i0000000000000000000000000000
χ56444-4-4-44-4-40-40044000000000000000000000000000000000000000000000000022−2200
χ57444-4-4-44-4-40-400440000000000000000000000000000000000000000000000000−222200
χ5844-4-44-4-44040-4400-40000002222−22−22−22−22222200000000000000000000000000000000000000
χ5944-4-44-4-44040-4400-4000000−22−2222222222−22−2200000000000000000000000000000000000000
χ604-44-4-44-440404-400-400000022−2222−22−2222−222200000000000000000000000000000000000000
χ614-44-4-44-440404-400-4000000−2222−222222−2222−2200000000000000000000000000000000000000
χ624-4-44-4-4444-4-4444-4-400004-40000000000000000000000000000000000000000000000
χ634-4-4-4444-440-400-440000000000000000000000000000000000000000000000022−220000
χ644-4-4-4444-440-400-4400000000000000000000000000000000000000000000000−22220000
χ654-4-4-4444-4-404004-40000000000000004-4000000000000000000000000000000000000
χ664-4-4-4444-4-404004-4000000000000000-44000000000000000000000000000000000000
χ6788-88-88-8-8000000000000000000000000000000000000000000000000000000000000
χ688-8888-8-8-8000000000000000000000000000000000000000000000000000000000000

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