Finite Group Databasebeta

← Group #103977

Character table — Group #103977

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222244444444444488888888161616161616161616161616161616161616161616161616
order12222222444444444444444488888888224444444444888888888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ5111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ9222222222222222-2-2-2-2-2-2-22-2000000002200-2-2000000000000000000
χ10222222222222222-2-2-2-2-2-2-22-200000000-2-20022000000000000000000
χ11222222222222-2-2-222-2-2-222-2-20000000000000000000022-2-200000000
χ12222222222222-2-2-222-2-2-222-2-200000000000000000000-2-22200000000
χ13222222222222-2-2-2-2-2222-2-2-2200000000002200-2-20000000000000000
χ14222222222222-2-2-2-2-2222-2-2-220000000000-2-200220000000000000000
χ1522222222-2-2-2-222-22222-2-2-2-2-22i2i2i2i−2i−2i−2i−2i000000000000000000000000
χ1622222222-2-2-2-222-22222-2-2-2-2-2−2i−2i−2i−2i2i2i2i2i000000000000000000000000
χ1722222222-2-2-2-222-2-2-2-2-2222-2200000000000000000000000022-2-20000
χ1822222222-2-2-2-222-2-2-2-2-2222-22000000000000000000000000-2-2220000
χ1922222222-2-2-2-2-2-2222-2-22-2-222000000000000000022-2-2000000000000
χ2022222222-2-2-2-2-2-2222-2-22-2-2220000000000000000-2-222000000000000
χ2122222222-2-2-2-2-2-22-2-222-2222-2000000000000000000000000000022-2-2
χ2222222222-2-2-2-2-2-22-2-222-2222-20000000000000000000000000000-2-222
χ232222-2-2-2-222-2-22-220000000-2022−2−222−2−22-2000000000000002−22−20000
χ242222-2-2-2-222-2-22-220000000-2022−2−222−2−2-2200000000000000−22−220000
χ252222-2-2-2-222-2-22-220000000-20−2−222−2−2222-200000000000000−22−220000
χ262222-2-2-2-222-2-22-220000000-20−2−222−2−222-22000000000000002−22−20000
χ272222-2-2-2-2-2-2222-2-2000000020i2i2−i2−i2−i2−i2i2i200002i−2i00000000002−2−220000
χ282222-2-2-2-2-2-2222-2-2000000020i2i2−i2−i2−i2−i2i2i20000−2i2i0000000000−222−20000
χ292222-2-2-2-2-2-2222-2-2000000020−i2−i2i2i2i2i2−i2−i200002i−2i0000000000−222−20000
χ302222-2-2-2-2-2-2222-2-2000000020−i2−i2i2i2i2i2−i2−i20000−2i2i00000000002−2−220000
χ3122-2-2-2-2222-22-2000002-22000-2i2−i2i2−i2i2−i2i2−i2002i−2i00000000000000002−22−2
χ3222-2-2-2-2222-22-2000002-22000-2i2−i2i2−i2i2−i2i2−i200−2i2i0000000000000000−22−22
χ3322-2-2-2-2222-22-2000002-22000-2−i2i2−i2i2−i2i2−i2i2002i−2i0000000000000000−22−22
χ3422-2-2-2-2222-22-2000002-22000-2−i2i2−i2i2−i2i2−i2i200−2i2i00000000000000002−22−2
χ3522-2-2-2-222-22-22000002-2-200022−22−2−22−220000002-20000000000002−2−22
χ3622-2-2-2-222-22-22000002-2-200022−22−2−22−22000000-22000000000000−222−2
χ3722-2-2-2-222-22-22000002-2-20002−22−222−22−20000002-2000000000000−222−2
χ3822-2-2-2-222-22-22000002-2-20002−22−222−22−2000000-220000000000002−2−22
χ394444-4-4-4-444-4-4-44-400000004000000000000000000000000000000000
χ404444-4-4-4-4-4-444-4440000000-4000000000000000000000000000000000
χ4144-4-444-4-44-4-440000000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000
χ4244-4-444-4-44-4-44000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000
χ4344-4-444-4-4-444-40000000000002-2-22-222-2000000000000000000000000
χ4444-4-444-4-4-444-4000000000000-222-22-2-22000000000000000000000000
χ4544-4-4-4-4444-44-400000-44-4000400000000000000000000000000000000
χ4644-4-4-4-444-44-4400000-444000-400000000000000000000000000000000
χ474-44-44-44-400000004-4000000000000000000000000000002i2−2i200000000
χ484-44-44-44-400000004-400000000000000000000000000000−2i22i200000000
χ494-44-44-44-40000000-440000000000000000000000000002i2−2i20000000000
χ504-44-44-44-40000000-44000000000000000000000000000−2i22i20000000000
χ514-4-444-4-440000000000004i−4i0000000000000000002i−2i2-2000000000000
χ524-4-444-4-440000000000004i−4i000000000000000000−2i2i-22000000000000
χ534-4-444-4-44000000000000−4i4i0000000000000000002i−2i-22000000000000
χ544-4-444-4-44000000000000−4i4i000000000000000000−2i2i2-2000000000000
χ558-88-8-88-88000000000000000000000000000000000000000000000000
χ568-8-88-888-8000000000000000000000000000000000000000000000000

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