Finite Group Databasebeta

← Group #292357

Character table — Group #292357

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11111111222222222222222244444444444444444444444444888888888888888888161616161616161616163232
order12222222222244444444444444444444448888888888888888444444444488888888244444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111-1-1-1-111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ611111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1
χ911111111-1-1-1-111111-1-1-1-11111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-111-1-111-1-11-1
χ1011111111-1-1-1-111111-1-1-1-11111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-11-1-111-1-111-11
χ1111111111-1-1-1-111111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111111-111-1-1-1-111-11
χ1211111111-1-1-1-111111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-11111-11-1-11111-1-11-1
χ1311111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111111-1-1-11111-1-1-11
χ1411111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1111-1-1-1-1111-1
χ1511111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-111-1-11111-1-1-1-11-1-1-111-1-1111-1
χ1611111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1111-1-111-1-1-11
χ1722222222222222-2-2-2-2-2-2-222-2-2-2-2222222-200000000000000002200-2-2-2-20000000000000000000000
χ1822222222222222-2-2-2-2-2-2-222-2-2-2-222-2-2-2-2-20000000000000000-2-20022220000000000000000000000
χ19222222222222-2-22222222-2-22-2-2-2-2-20000-20000000000000000002200002200000000-2-20000000000
χ20222222222222-2-22222222-2-22-2-2-2-2-20000-2000000000000000000-2-20000-2-200000000220000000000
χ21222222222222-2-2-2-2-2-2-2-2-2-2-2-2222-2-2000020000000000000000000000000000000000002-22-2000000
χ22222222222222-2-2-2-2-2-2-2-2-2-2-2-2222-2-200002000000000000000000000000000000000000-22-22000000
χ2322222222-2-2-2-222-2-2-2222222-2-222-2-22222-20000000000000000-2-200-2-2220000000000000000000000
χ2422222222-2-2-2-222-2-2-2222222-2-222-2-2-2-2-2-2-20000000000000000220022-2-20000000000000000000000
χ2522222222-2-2-2-2-2-2222-2-2-2-2-2-22-222220000-2000000000000000000220000-2-200000000-220000000000
χ2622222222-2-2-2-2-2-2222-2-2-2-2-2-22-222220000-2000000000000000000-2-2000022000000002-20000000000
χ2722222222-2-2-2-2-2-2-2-2-22222-2-2-22-2-222000020000000000000000000000000000000000002-2-22000000
χ2822222222-2-2-2-2-2-2-2-2-22222-2-2-22-2-22200002000000000000000000000000000000000000-222-2000000
χ2922-22-22-2-222-2-2-2-200000002200002-22i2i−2i−2i02222−2−2−2−22222−2−2−2−22i−2i00000000i2i2−i2−i2i2i2−i2−i2000000000000
χ3022-22-22-2-222-2-2-2-200000002200002-22i2i−2i−2i0−2−2−2−22222−2−2−2−222222i−2i00000000−i2−i2i2i2−i2−i2i2i2000000000000
χ3122-22-22-2-222-2-2-2-200000002200002-2−2i−2i2i2i02222−2−2−2−22222−2−2−2−2−2i2i00000000−i2−i2i2i2−i2−i2i2i2000000000000
χ3222-22-22-2-222-2-2-2-200000002200002-2−2i−2i2i2i0−2−2−2−22222−2−2−2−22222−2i2i00000000i2i2−i2−i2i2i2−i2−i2000000000000
χ3322-22-22-2-2-2-222-2-20000000220000-222i2i−2i−2i02222−2−2−2−2−2−2−2−22222−2i2i00000000i2i2−i2−i2−i2−i2i2i2000000000000
χ3422-22-22-2-2-2-222-2-20000000220000-222i2i−2i−2i0−2−2−2−222222222−2−2−2−2−2i2i00000000−i2−i2i2i2i2i2−i2−i2000000000000
χ3522-22-22-2-2-2-222-2-20000000220000-22−2i−2i2i2i02222−2−2−2−2−2−2−2−222222i−2i00000000−i2−i2i2i2i2i2−i2−i2000000000000
χ3622-22-22-2-2-2-222-2-20000000220000-22−2i−2i2i2i0−2−2−2−222222222−2−2−2−22i−2i00000000i2i2−i2−i2−i2−i2i2i2000000000000
χ3722-2-2-2-2222-22-20022-222-2-200-2000000000022−2−222−2−222−2−222−2−2002i−2i00002i−2i00000000000000i2−i2i2−i200
χ3822-2-2-2-2222-22-20022-222-2-200-2000000000022−2−222−2−222−2−222−2−200−2i2i0000−2i2i00000000000000−i2i2−i2i200
χ3922-2-2-2-2222-22-20022-222-2-200-20000000000−2−222−2−222−2−222−2−222002i−2i00002i−2i00000000000000−i2i2−i2i200
χ4022-2-2-2-2222-22-20022-222-2-200-20000000000−2−222−2−222−2−222−2−22200−2i2i0000−2i2i00000000000000i2−i2i2−i200
χ4122-2-2-2-222-22-220022-2-2-22200-2000000000022−2−222−2−2−2−222−2−222002i−2i0000−2i2i00000000000000i2−i2−i2i200
χ4222-2-2-2-222-22-220022-2-2-22200-2000000000022−2−222−2−2−2−222−2−22200−2i2i00002i−2i00000000000000−i2i2i2−i200
χ4322-2-2-2-222-22-220022-2-2-22200-20000000000−2−222−2−22222−2−222−2−2002i−2i0000−2i2i00000000000000−i2i2i2−i200
χ4422-2-2-2-222-22-220022-2-2-22200-20000000000−2−222−2−22222−2−222−2−200−2i2i00002i−2i00000000000000i2−i2−i2i200
χ452-222-2-2-2200002-22-2200002-2-2-200002i−2i2i−2i22-22-22-22-20000000000002i−2i00002i−2i2i−2i0000000000000000
χ462-222-2-2-2200002-22-2200002-2-2-200002i−2i2i−2i2-22-22-22-220000000000002i−2i0000−2i2i−2i2i0000000000000000
χ472-222-2-2-2200002-22-2200002-2-2-20000−2i2i−2i2i22-22-22-22-2000000000000−2i2i0000−2i2i−2i2i0000000000000000
χ482-222-2-2-2200002-22-2200002-2-2-20000−2i2i−2i2i2-22-22-22-22000000000000−2i2i00002i−2i2i−2i0000000000000000
χ492-222-2-2-2200002-2-22-200002-22200002i−2i2i−2i-2000000002i−2i2i−2i2i−2i2i−2i0000−2i2i000000002-22-2000000000000
χ502-222-2-2-2200002-2-22-200002-22200002i−2i2i−2i-200000000−2i2i−2i2i−2i2i−2i2i0000−2i2i00000000-22-22000000000000
χ512-222-2-2-2200002-2-22-200002-2220000−2i2i−2i2i-2000000002i−2i2i−2i2i−2i2i−2i00002i−2i00000000-22-22000000000000
χ522-222-2-2-2200002-2-22-200002-2220000−2i2i−2i2i-200000000−2i2i−2i2i−2i2i−2i2i00002i−2i000000002-22-2000000000000
χ532-2-222-22-20000-220002i−2i2i−2i2-2002i−2i002-2-2202−22−2−22−22i2−i2i2−i2−i2i2−i2i20000002i−2i002−2−22−i2i2i2−i2000000000000
χ542-2-222-22-20000-220002i−2i2i−2i2-2002i−2i002-2-220−22−222−22−2−i2i2−i2i2i2−i2i2−i20000002i−2i00−222−2i2−i2−i2i2000000000000
χ552-2-222-22-20000-220002i−2i2i−2i2-2002i−2i00-222-202−22−2−22−22i2−i2i2−i2−i2i2−i2i2000000−2i2i00−222−2i2−i2−i2i2000000000000
χ562-2-222-22-20000-220002i−2i2i−2i2-2002i−2i00-222-20−22−222−22−2−i2i2−i2i2i2−i2i2−i2000000−2i2i002−2−22−i2i2i2−i2000000000000
χ572-2-222-22-20000-22000−2i2i−2i2i2-200−2i2i002-2-2202−22−2−22−22−i2i2−i2i2i2−i2i2−i2000000−2i2i002−2−22i2−i2−i2i2000000000000
χ582-2-222-22-20000-22000−2i2i−2i2i2-200−2i2i002-2-220−22−222−22−2i2−i2i2−i2−i2i2−i2i2000000−2i2i00−222−2−i2i2i2−i2000000000000
χ592-2-222-22-20000-22000−2i2i−2i2i2-200−2i2i00-222-202−22−2−22−22−i2i2−i2i2i2−i2i2−i20000002i−2i00−222−2−i2i2i2−i2000000000000
χ602-2-222-22-20000-22000−2i2i−2i2i2-200−2i2i00-222-20−22−222−22−2i2−i2i2−i2−i2i2−i2i20000002i−2i002−2−22i2−i2−i2i2000000000000
χ61444-44-4-4-44-4-44000000000000000000000022-2-2-2-22222-2-2-2-222000000000000000000000000000000
χ62444-44-4-4-44-4-440000000000000000000000-2-22222-2-2-2-22222-2-2000000000000000000000000000000
χ63444-44-4-4-4-444-4000000000000000000000022-2-2-2-222-2-22222-2-2000000000000000000000000000000
χ64444-44-4-4-4-444-40000000000000000000000-2-22222-2-222-2-2-2-222000000000000000000000000000000
χ6544-44-44-4-444-4-4440000000-4-40000-44000000000000000000000000000000000000000000000000000
χ6644-44-44-4-4-4-444440000000-4-400004-4000000000000000000000000000000000000000000000000000
χ6744-4-4-4-4444-44-400-4-44-4-44400400000000000000000000000000000000000000000000000000000000
χ6844-4-4-4-444-44-4400-4-4444-4-400400000000000000000000000000000000000000000000000000000000
χ694-444-4-4-440000-444-440000-44-4400000000-40000000000000000000000000000000000000000000000
χ704-444-4-4-440000-44-44-40000-444-40000000040000000000000000000000000000000000000000000000
χ714-44-4-444-40000000004i−4i−4i4i00000000000002-2-22-222-22i−2i−2i2i−2i2i2i−2i000000000000000000000000000000
χ724-44-4-444-40000000004i−4i−4i4i0000000000000-222-22-2-22−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000
χ734-44-4-444-4000000000−4i4i4i−4i00000000000002-2-22-222-2−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000
χ744-44-4-444-4000000000−4i4i4i−4i0000000000000-222-22-2-222i−2i−2i2i−2i2i2i−2i000000000000000000000000000000
χ754-4-444-44-400004-40004i−4i4i−4i-4400−4i4i00000000000000000000000000000000000000000000000000000
χ764-4-444-44-400004-4000−4i4i−4i4i-44004i−4i00000000000000000000000000000000000000000000000000000
χ774-4-4-444-440000004-4-40000004000000000022−22−222222−22−222200000000000000000000000000000000000000
χ784-4-4-444-440000004-4-400000040000000000−222222−22−222222−2200000000000000000000000000000000000000
χ794-4-4-444-44000000-444000000-40000000000000000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000000000
χ804-4-4-444-44000000-444000000-4000000000000000000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000000000

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