Finite Group Databasebeta

← Group #286993

Character table — Group #286993

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444444888888888888888888888881616161616161616161616163232
order12222222444444444444444488884444488888888888888888844444488888824
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11-1-11-1-1-1-111-1-1-1-1
χ311111111111111111111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-111-1-111-1-1
χ411111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-111-111-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-111111-1-11-1-1-1-1-1-1-1-111
χ6111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1
χ7111111111111111111111111-1-1-1-11-1-1-1-1-1-111111111-1-1-1-11111-111-111-1-111-1-1-1-1
χ8111111111111111111111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ9111111111111111111-1-1-1-1-1-11111-11111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-11
χ10111111111111111111-1-1-1-1-1-11111-11111-1-11111-1-1-1-111-1-11111-111-1-1-111-1-1-1-11-1
χ11111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111111-1
χ12111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-11111111-1-1-11
χ13111111111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-1-111-1-1-11111-1-1-11
χ14111111111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111111-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-11-1-111111-1-1-1-11-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-1-1-111-11
χ17222222222-222-2-22-2-2-222-2-2220000-222-2-2000000000000000000200-20000000000
χ18222222222-222-2-22-2-2-222-2-2220000-2-2-222000000000000000000-20020000000000
χ19222222222-222-2-22-2-2-2-2-222-2-20000222-2-2000000000000000000-20020000000000
χ20222222222-222-2-22-2-2-2-2-222-2-200002-2-222000000000000000000200-20000000000
χ2122222222-22-2-222-22-2-222-2-2-2-22222200002200000000-2-2-2-2000000000000000000
χ2222222222-22-2-222-22-2-222-2-2-2-2-2-2-2-220000-2-2000000002222000000000000000000
χ2322222222-22-2-222-22-2-2-2-222222222-20000-2-200000000-2-222000000000000000000
χ2422222222-22-2-222-22-2-2-2-22222-2-2-2-2-20000220000000022-2-2000000000000000000
χ2522222222-2-2-2-2-2-2-2-2222222-2-20000-20000002i2i−2i−2i000000000000000000002i−2i0000
χ2622222222-2-2-2-2-2-2-2-2222222-2-20000-2000000−2i−2i2i2i00000000000000000000−2i2i0000
χ2722222222-2-2-2-2-2-2-2-222-2-2-2-222000020000002i2i−2i−2i00000000000000000000−2i2i0000
χ2822222222-2-2-2-2-2-2-2-222-2-2-2-22200002000000−2i−2i2i2i000000000000000000002i−2i0000
χ2922-2-2-222-22-22-22-2-222-2000000000000000002i−2i2i−2i000000002i2i−2i−2i02-200000000000
χ3022-2-2-222-22-22-22-2-222-2000000000000000002i−2i2i−2i00000000−2i−2i2i2i0-2200000000000
χ3122-2-2-222-22-22-22-2-222-200000000000000000−2i2i−2i2i000000002i2i−2i−2i0-2200000000000
χ3222-2-2-222-22-22-22-2-222-200000000000000000−2i2i−2i2i00000000−2i−2i2i2i02-200000000000
χ3322-2-2-222-2-22-22-222-22-2000000000000000002-2-222i2i−2i−2i0000000000002i−2i00000000
χ3422-2-2-222-2-22-22-222-22-2000000000000000002-2-22−2i−2i2i2i000000000000−2i2i00000000
χ3522-2-2-222-2-22-22-222-22-200000000000000000-222-22i2i−2i−2i000000000000−2i2i00000000
χ3622-2-2-222-2-22-22-222-22-200000000000000000-222-2−2i−2i2i2i0000000000002i−2i00000000
χ372-222-22-2-20-200220-200002i−2i2i−2i22-2-200000000000i2−i2i2−i2002i−2i2−22−20000002−200i2−i200
χ382-222-22-2-20-200220-200002i−2i2i−2i22-2-200000000000−i2i2−i2i2002i−2i−22−22000000−2200−i2i200
χ392-222-22-2-20-200220-200002i−2i2i−2i-2-22200000000000i2−i2i2−i200−2i2i2−22−2000000−2200−i2i200
χ402-222-22-2-20-200220-200002i−2i2i−2i-2-22200000000000−i2i2−i2i200−2i2i−22−220000002−200i2−i200
χ412-222-22-2-20-200220-20000−2i2i−2i2i22-2-200000000000i2−i2i2−i200−2i2i−22−22000000−2200i2−i200
χ422-222-22-2-20-200220-20000−2i2i−2i2i22-2-200000000000−i2i2−i2i200−2i2i2−22−20000002−200−i2i200
χ432-222-22-2-20-200220-20000−2i2i−2i2i-2-22200000000000i2−i2i2−i2002i−2i−22−220000002−200−i2i200
χ442-222-22-2-20-200220-20000−2i2i−2i2i-2-22200000000000−i2i2−i2i2002i−2i2−22−2000000−2200i2−i200
χ45444-4-4-4-4400000000004i−4i00002i2−2i22i2−2i20000022−22000000000000000000000000000000
χ46444-4-4-4-4400000000004i−4i0000−2i22i2−2i22i200000−2222000000000000000000000000000000
χ47444-4-4-4-440000000000−4i4i00002i2−2i22i2−2i200000−2222000000000000000000000000000000
χ48444-4-4-4-440000000000−4i4i0000−2i22i2−2i22i20000022−22000000000000000000000000000000
χ4944-4-4-444-4444-4-44-4-4-4400000000000000000000000000000000000000000000000
χ5044-4-4-444-4-4-4-444-444-4400000000000000000000000000000000000000000000000
χ514-444-44-4-40400-4-40400004i−4i−4i4i00000000000000000000000000000000000000000
χ524-444-44-4-40400-4-4040000−4i4i4i−4i00000000000000000000000000000000000000000
χ534-44-44-44-440-4-40040000000002i2−2i2−2i22i20000000000000002i2−2i200000000000000000000
χ544-44-44-44-440-4-4004000000000−2i22i22i2−2i2000000000000000−2i22i200000000000000000000
χ554-44-44-44-4-404400-40000000002i2−2i2−2i22i2000000000000000−2i22i200000000000000000000
χ564-44-44-44-4-404400-4000000000−2i22i22i2−2i20000000000000002i2−2i200000000000000000000
χ574-4-44-4-44440-4400-4000000000000004i−4i0000000000000000000000000000000000
χ584-4-44-4-44440-4400-400000000000000−4i4i0000000000000000000000000000000000
χ594-4-44-4-444-404-400400000000000000004-400000000000000000000000000000000
χ604-4-44-4-444-404-40040000000000000000-4400000000000000000000000000000000
χ614-4-4-444-4404004-40-400000000000000000000000000000002i2−2i2−2i22i200000000000000
χ624-4-4-444-4404004-40-40000000000000000000000000000000−2i22i22i2−2i200000000000000
χ634-4-4-444-440-400-44040000000000000000000000022−22−22220000000000000000000000
χ644-4-4-444-440-400-440400000000000000000000000−222222−220000000000000000000000
χ6588-888-8-8-8000000000000000000000000000000000000000000000000000000000

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