Finite Group Databasebeta

← Group #283154

Character table — Group #283154

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888244444448888882
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111-1-11111111111111111-11-1-1-1-1-1-1-1-1-1-111-1
χ411111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-11
χ51111111111111111111111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1
χ61111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111111
χ71111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1111111-1-111-1
χ911111111111111111-1-1-1-1111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111
χ1011111111111111111-1-1-1-1111111111-1-111-1-1111111-1-1-1-111111-1-1-1-1-1-1-11111-1-1-1
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-111111-1-1111111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1111111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-11-1-11111-1-111-1-1-1
χ1411111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-1-111-1-1111
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-11
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-11-111-1-111-1-11111-1
χ172222222222-2-2-2-222-20000-2222222-2-20022000000-2-200000000-200000000000000
χ182222222222-2-2-2-222-20000-22222-2-22200-2-2000000-2-200000000200000000000000
χ192222222222-2-2-2-222-20000-2-2-2-2-222-2-200-2-20000002200000000200000000000000
χ202222222222-2-2-2-222-20000-2-2-2-2-2-2-22200220000002200000000-200000000000000
χ2122222222-2-22222-2-2-22222-200000000-2-2002222-2-200000000000-20000000000000
χ2222222222-2-22222-2-2-22222-200000000-2-200-2-2-2-2220000000000020000000000000
χ2322222222-2-22222-2-2-2-2-2-2-2-200000000220022-2-22200000000000-20000000000000
χ2422222222-2-22222-2-2-2-2-2-2-2-2000000002200-2-222-2-20000000000020000000000000
χ2522-2-2-222-2002-22-20002i2i−2i−2i0i2i2−i2−i2000000002-22i−2i00i2−i222−2−222−2−2000000000000i2−i20
χ2622-2-2-222-2002-22-20002i2i−2i−2i0i2i2−i2−i200000000-22−2i2i00i2−i222−2−2−2−222000000000000−i2i20
χ2722-2-2-222-2002-22-20002i2i−2i−2i0−i2−i2i2i2000000002-22i−2i00−i2i2−2−222−2−222000000000000−i2i20
χ2822-2-2-222-2002-22-20002i2i−2i−2i0−i2−i2i2i200000000-22−2i2i00−i2i2−2−22222−2−2000000000000i2−i20
χ2922-2-2-222-2002-22-2000−2i−2i2i2i0i2i2−i2−i2000000002-2−2i2i00i2−i2−2−222−2−222000000000000i2−i20
χ3022-2-2-222-2002-22-2000−2i−2i2i2i0i2i2−i2−i200000000-222i−2i00i2−i2−2−22222−2−2000000000000−i2i20
χ3122-2-2-222-2002-22-2000−2i−2i2i2i0−i2−i2i2i2000000002-2−2i2i00−i2i222−2−222−2−2000000000000−i2i20
χ3222-2-2-222-2002-22-2000−2i−2i2i2i0−i2−i2i2i200000000-222i−2i00−i2i222−2−2−2−222000000000000i2−i20
χ332-2-22-22-222222-2-2-2-2-20000200002i−2i2i−2i0000000000002i−2i2i−2i000000002-2000000000
χ342-2-22-22-222222-2-2-2-2-20000200002i−2i2i−2i000000000000−2i2i−2i2i00000000-22000000000
χ352-2-22-22-222222-2-2-2-2-2000020000−2i2i−2i2i0000000000002i−2i2i−2i00000000-22000000000
χ362-2-22-22-222222-2-2-2-2-2000020000−2i2i−2i2i000000000000−2i2i−2i2i000000002-2000000000
χ372-2-22-22-2222-2-222-2-222-22-2-200002i−2i−2i2i2-2000000000000000000002i−2i00000000000
χ382-2-22-22-2222-2-222-2-222-22-2-20000−2i2i2i−2i2-200000000000000000000−2i2i00000000000
χ392-2-22-22-2222-2-222-2-22-22-22-200002i−2i−2i2i-2200000000000000000000−2i2i00000000000
χ402-2-22-22-2222-2-222-2-22-22-22-20000−2i2i2i−2i-22000000000000000000002i−2i00000000000
χ412-2-22-22-22-2-2-2-22222-22-22-2200000000-220000000000000000000000002-22-200000
χ422-2-22-22-22-2-2-2-22222-22-22-2200000000-22000000000000000000000000-22-2200000
χ432-2-22-22-22-2-2-2-22222-2-22-222000000002-20000000000000000000000002-2-2200000
χ442-2-22-22-22-2-2-2-22222-2-22-222000000002-2000000000000000000000000-222-200000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ46444-4-4-4-444-400004-4000000000000000000000000000000000000000000002i2−2i2000
χ47444-4-4-4-444-400004-400000000000000000000000000000000000000000000−2i22i2000
χ48444-4-4-4-44-440000-4400000000000000004i−4i0000000000000000000000000000000
χ49444-4-4-4-44-440000-440000000000000000−4i4i0000000000000000000000000000000
χ5044-4-4-444-400-44-44000000002i22i2−2i2−2i200000000000000−2i22i200000000000000000000000
χ5144-4-4-444-400-44-4400000000−2i2−2i22i22i2000000000000002i2−2i200000000000000000000000
χ524-444-4-44-4000000000000002i2−2i22i2−2i20000000000002i2−2i20000002-22-2000000000000000
χ534-444-4-44-4000000000000002i2−2i22i2−2i2000000000000−2i22i2000000-22-22000000000000000
χ544-444-4-44-400000000000000−2i22i2−2i22i20000000000002i2−2i2000000-22-22000000000000000
χ554-444-4-44-400000000000000−2i22i2−2i22i2000000000000−2i22i20000002-22-2000000000000000
χ564-44-444-4-4004-4-4400000000000000000000000000002i2−2i2−2i22i20000000000000000000
χ574-44-444-4-4004-4-440000000000000000000000000000−2i22i22i2−2i20000000000000000000
χ584-44-444-4-400-444-40004i−4i−4i4i00000000000000000000000000000000000000000000
χ594-44-444-4-400-444-4000−4i4i4i−4i00000000000000000000000000000000000000000000
χ604-4-44-44-44-4-444-4-44440000-40000000000000000000000000000000000000000000
χ614-4-4-44-4444-40000-4400000000000000000000000000000022−22−2222000000000000000
χ624-4-4-44-4444-40000-44000000000000000000000000000000−222222−22000000000000000
χ634-4-4-44-444-4400004-40000004-4-44000000000000000000000000000000000000000
χ644-4-4-44-444-4400004-4000000-444-4000000000000000000000000000000000000000
χ6588-888-8-8-8000000000000000000000000000000000000000000000000000000000

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