Finite Group Databasebeta

← Group #283012

Character table — Group #283012

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-11111-1-11111-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111-1-111111111111111-11-1-1-1-1-1-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111
χ51111111111111111111111-1-1-1-111-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-1-1-111-1-11
χ61111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1111111-1-111-1
χ71111111111111111111111-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1-1111-1-111-1-1-1-111-1
χ81111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-11
χ91111111111111111-1-1-1-11111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11
χ101111111111111111-1-1-1-11111111111-1-1-1-1111111-1-1-1-11111111-1-1-1-1-1-1-1-1-11111-1
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111111-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1111111-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1111
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-111-1-1111111-1-1-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-11111-11-1-11111-1-111-1-1-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1111
χ172222222222-22-2-2-222222-2-200000000-2-2220000220000-2-200000-20000000000000
χ182222222222-22-2-2-222222-2-200000000-2-2-2-20000-2-20000220000020000000000000
χ192222222222-22-2-2-22-2-2-2-2-2-20000000022220000-2-200002200000-20000000000000
χ202222222222-22-2-2-22-2-2-2-2-2-20000000022-2-20000220000-2-20000020000000000000
χ2122222222-2-22-2222-20000-2-2222222-2-2000022-2-2000000000000-200000000000000
χ2222222222-2-22-2222-20000-2-22222-2-2220000-2-2-2-2000000000000200000000000000
χ2322222222-2-22-2222-20000-2-2-2-2-2-222220000-2-222000000000000-200000000000000
χ2422222222-2-22-2222-20000-2-2-2-2-2-2-2-2-2-200002222000000000000200000000000000
χ2522-2-2-222-22-20-200022i2i−2i−2i0022−2−20000002-2002−22i−2ii2i2−i2−i200i2i2−i2−i2000000002−200000
χ2622-2-2-222-22-20-200022i2i−2i−2i0022−2−2000000-22002−2−2i2ii2i2−i2−i200−i2−i2i2i200000000−2200000
χ2722-2-2-222-22-20-200022i2i−2i−2i00−2−2220000002-200−222i−2i−i2−i2i2i200−i2−i2i2i200000000−2200000
χ2822-2-2-222-22-20-200022i2i−2i−2i00−2−222000000-2200−22−2i2i−i2−i2i2i200i2i2−i2−i2000000002−200000
χ2922-2-2-222-22-20-20002−2i−2i2i2i0022−2−20000002-2002−2−2i2i−i2−i2i2i200−i2−i2i2i2000000002−200000
χ3022-2-2-222-22-20-20002−2i−2i2i2i0022−2−2000000-22002−22i−2i−i2−i2i2i200i2i2−i2−i200000000−2200000
χ3122-2-2-222-22-20-20002−2i−2i2i2i00−2−2220000002-200−22−2i2ii2i2−i2−i200i2i2−i2−i200000000−2200000
χ3222-2-2-222-22-20-20002−2i−2i2i2i00−2−222000000-2200−222i−2ii2i2−i2−i200−i2−i2i2i2000000002−200000
χ332-2-2-22-222222-2-2-22-22i−2i2i−2i2-20000002-22i−2i002-200000000000000002i−2i00000000000
χ342-2-2-22-222222-2-2-22-22i−2i2i−2i2-2000000-222i−2i00-220000000000000000−2i2i00000000000
χ352-2-2-22-222222-2-2-22-2−2i2i−2i2i2-20000002-2−2i2i002-20000000000000000−2i2i00000000000
χ362-2-2-22-222222-2-2-22-2−2i2i−2i2i2-2000000-22−2i2i00-2200000000000000002i−2i00000000000
χ372-2-2-22-22222-2-222-2-22i−2i2i−2i-2200000000−2i2i0000000000000000000000002-200002i−2i0
χ382-2-2-22-22222-2-222-2-22i−2i2i−2i-2200000000−2i2i000000000000000000000000-220000−2i2i0
χ392-2-2-22-22222-2-222-2-2−2i2i−2i2i-22000000002i−2i0000000000000000000000002-20000−2i2i0
χ402-2-2-22-22222-2-222-2-2−2i2i−2i2i-22000000002i−2i000000000000000000000000-2200002i−2i0
χ412-2-2-22-222-2-222-2-2220000-220000002-20000-2200002-22-200000000002-2000000000
χ422-2-2-22-222-2-222-2-2220000-220000002-20000-220000-22-220000000000-22000000000
χ432-2-2-22-222-2-222-2-2220000-22000000-2200002-200002-22-20000000000-22000000000
χ442-2-2-22-222-2-222-2-2220000-22000000-2200002-20000-22-2200000000002-2000000000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ46444-4-4-4-4400404-4-400000004-44-4000000000000000000000000000000000000000
χ47444-4-4-4-4400404-4-40000000-44-44000000000000000000000000000000000000000
χ48444-4-4-4-4400-40-44400000000000000000000000000000002i2−2i22i2−2i2000000000000000
χ49444-4-4-4-4400-40-4440000000000000000000000000000000−2i22i2−2i22i2000000000000000
χ5044-444-4-4-40000000000000022−22−222200000000000000000022−222-2-22000000000000000
χ5144-444-4-4-40000000000000022−22−2222000000000000000000−2222-222-2000000000000000
χ5244-444-4-4-400000000000000−222222−2200000000000000000022−22-222-2000000000000000
χ5344-444-4-4-400000000000000−222222−22000000000000000000−22222-2-22000000000000000
χ5444-4-4-444-4-4404000-40000002222−22−220000000000−2222000000000000000000000000000
χ5544-4-4-444-4-4404000-4000000−22−222222000000000022−22000000000000000000000000000
χ564-444-4-44-44-404000-44-4-44000000000000000000000000000000000000000000000
χ574-444-4-44-44-404000-4-444-4000000000000000000000000000000000000000000000
χ584-444-4-44-4-440-400040000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ594-444-4-44-4-440-40004000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ604-4-44-44-440040-44-4000000000004i−4i0000000000000000000000000000000000000
χ614-4-44-44-440040-44-400000000000−4i4i0000000000000000000000000000000000000
χ624-4-44-44-4400-404-4400000000000000000000000000000000000000000000022−22000
χ634-4-44-44-4400-404-44000000000000000000000000000000000000000000000−2222000
χ644-4-4-44-444-4-4-4444-4400004-40000000000000000000000000000000000000000000
χ658-88-888-8-8000000000000000000000000000000000000000000000000000000000

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