Finite Group Databasebeta

← Group #315313

Character table — Group #315313

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size1111111122222222444444444444448888888888888888888888888888881616161632323232
order12222222444444444488888888888844444444444488888888888888888844884444
χ111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11-1-11
χ61111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111-111-1
χ71111111111111111111111-1-1-1-11111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1
χ81111111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111-1-11
χ9111111111111111111-1-1-1-11111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ10111111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111111111111111-1-1-1-1-1-1-1-1-1-111
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111111-1-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1111-11-1
χ14111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1111111-1-1-11-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-11-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-11-11-1
χ172222222222-2-22-2-22-2-222220000-2-2-2-200000022-2-200000000000000000000-22000000
χ182222222222-2-22-2-22-2-222220000-2-2-2-2000000-2-222000000000000000000002-2000000
χ192222222222-2-22-2-22-2-2-2-2-2-20000222200000022-2-2000000000000000000002-2000000
χ202222222222-2-22-2-22-2-2-2-2-2-200002222000000-2-22200000000000000000000-22000000
χ2122222222-2-222-222-2-2-20000222200002222-2-20000-2-2-2-2000000000000000000000000
χ2222222222-2-222-222-2-2-2000022220000-2-2-2-222000022-2-2000000000000000000000000
χ2322222222-2-222-222-2-2-20000-2-2-2-2000022-2-2220000-2-222000000000000000000000000
χ2422222222-2-222-222-2-2-20000-2-2-2-20000-2-222-2-200002222000000000000000000000000
χ2522-2-22-2-222-2-2-2222-2-2200002i2i−2i−2i00000000000000002i−2i22-2-200002i2i−2i−2i000000000000
χ2622-2-22-2-222-2-2-2222-2-2200002i2i−2i−2i00000000000000002i−2i-2-2220000−2i−2i2i2i000000000000
χ2722-2-22-2-222-2-2-2222-2-220000−2i−2i2i2i0000000000000000−2i2i22-2-20000−2i−2i2i2i000000000000
χ2822-2-22-2-222-2-2-2222-2-220000−2i−2i2i2i0000000000000000−2i2i-2-22200002i2i−2i−2i000000000000
χ2922-2-22-2-22-2222-2-2-22-2222-2-2000022-2-20000000000000000002i2i−2i−2i00000000002i−2i0000
χ3022-2-22-2-22-2222-2-2-22-2222-2-2000022-2-2000000000000000000−2i−2i2i2i0000000000−2i2i0000
χ3122-2-22-2-22-2222-2-2-22-22-2-2220000-2-2220000000000000000002i2i−2i−2i0000000000−2i2i0000
χ3222-2-22-2-22-2222-2-2-22-22-2-2220000-2-222000000000000000000−2i−2i2i2i00000000002i−2i0000
χ3322-2-22-2-22-22-2-2-22222-222-2-22i2i−2i−2i-2-222000000000000−2i2i0000000000002i2i−2i−2i00000000
χ3422-2-22-2-22-22-2-2-22222-222-2-2−2i−2i2i2i-2-2220000000000002i−2i000000000000−2i−2i2i2i00000000
χ3522-2-22-2-22-22-2-2-22222-2-2-2222i2i−2i−2i22-2-2000000000000−2i2i000000000000−2i−2i2i2i00000000
χ3622-2-22-2-22-22-2-2-22222-2-2-222−2i−2i2i2i22-2-20000000000002i−2i0000000000002i2i−2i−2i00000000
χ372-22-2-22-22002-202-2000i2−i2i2−i22-22-2i2−i2i2−i22i−2i2i−2i00000000002−22−200002−22−2i2−i2i2−i200000000
χ382-22-2-22-22002-202-2000i2−i2i2−i22-22-2i2−i2i2−i2−2i2i−2i2i0000000000−22−220000−22−22i2−i2i2−i200000000
χ392-22-2-22-22002-202-2000i2−i2i2−i2-22-22i2−i2i2−i22i−2i−2i2i0000000000−22−2200002−22−2−i2i2−i2i200000000
χ402-22-2-22-22002-202-2000i2−i2i2−i2-22-22i2−i2i2−i2−2i2i2i−2i00000000002−22−20000−22−22−i2i2−i2i200000000
χ412-22-2-22-22002-202-2000−i2i2−i2i22-22-2−i2i2−i2i22i−2i2i−2i0000000000−22−220000−22−22−i2i2−i2i200000000
χ422-22-2-22-22002-202-2000−i2i2−i2i22-22-2−i2i2−i2i2−2i2i−2i2i00000000002−22−200002−22−2−i2i2−i2i200000000
χ432-22-2-22-22002-202-2000−i2i2−i2i2-22-22−i2i2−i2i22i−2i−2i2i00000000002−22−20000−22−22i2−i2i2−i200000000
χ442-22-2-22-22002-202-2000−i2i2−i2i2-22-22−i2i2−i2i2−2i2i2i−2i0000000000−22−2200002−22−2i2−i2i2−i200000000
χ452-2-22-2-22200-2202-2000i2−i2−i2i22i−2i−2i2i−i2i2i2−i200002i−2i00002-2002−2−220000i2−i2−i2i2−222−200000000
χ462-2-22-2-22200-2202-2000i2−i2−i2i22i−2i−2i2i−i2i2i2−i20000−2i2i0000-2200−222−20000−i2i2i2−i2−222−200000000
χ472-2-22-2-22200-2202-2000i2−i2−i2i2−2i2i2i−2i−i2i2i2−i200002i−2i0000-22002−2−220000−i2i2i2−i22−2−2200000000
χ482-2-22-2-22200-2202-2000i2−i2−i2i2−2i2i2i−2i−i2i2i2−i20000−2i2i00002-200−222−20000i2−i2−i2i22−2−2200000000
χ492-2-22-2-22200-2202-2000−i2i2i2−i22i−2i−2i2ii2−i2−i2i200002i−2i00002-200−222−20000−i2i2i2−i22−2−2200000000
χ502-2-22-2-22200-2202-2000−i2i2i2−i22i−2i−2i2ii2−i2−i2i20000−2i2i0000-22002−2−220000i2−i2−i2i22−2−2200000000
χ512-2-22-2-22200-2202-2000−i2i2i2−i2−2i2i2i−2ii2−i2−i2i200002i−2i0000-2200−222−20000i2−i2−i2i2−222−200000000
χ522-2-22-2-22200-2202-2000−i2i2i2−i2−2i2i2i−2ii2−i2−i2i20000−2i2i00002-2002−2−220000−i2i2i2−i2−222−200000000
χ5344444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000000
χ5444-4-44-4-444-4444-4-4-44-400000000000000000000000000000000000000000000000000
χ554-4444-4-4-44400-400-40000000000000000000000000000000022−2222−220000000000000000
χ564-4444-4-4-44400-400-400000000000000000000000000000000−2222−22220000000000000000
χ574-4444-4-4-4-4-400400400000000000000000000004i−4i0000000000000000000000000000
χ584-4444-4-4-4-4-40040040000000000000000000000−4i4i0000000000000000000000000000
χ594-44-4-44-4400-440-440002i2−2i22i2−2i20000−2i22i2−2i22i200000000000000000000000000000000000000
χ604-44-4-44-4400-440-44000−2i22i2−2i22i200002i2−2i22i2−2i200000000000000000000000000000000000000
χ614-4-44-4-444004-40-440002i2−2i2−2i22i200002i2−2i2−2i22i200000000000000000000000000000000000000
χ624-4-44-4-444004-40-44000−2i22i22i2−2i20000−2i22i22i2−2i200000000000000000000000000000000000000
χ634-4-4-4444-44-400-4004000000000000000000004i−4i000000000000000000000000000000
χ644-4-4-4444-44-400-400400000000000000000000−4i4i000000000000000000000000000000
χ654-4-4-4444-4-4400400-4000000000000000000000000000000002i2−2i2−2i22i20000000000000000
χ664-4-4-4444-4-4400400-400000000000000000000000000000000−2i22i22i2−2i20000000000000000
χ67888-8-8-88-8000000000000000000000000000000000000000000000000000000000000
χ6888-88-88-8-8000000000000000000000000000000000000000000000000000000000000

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