Finite Group Databasebeta

← Group #292358

Character table — Group #292358

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11111111222222222222222244444444444444444444444444888888888888888888161616161616161616163232
order12222222444444444444444422444444448888888888888888444444444488888888244444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
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
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ6111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1
χ911111111-1-1-1-111-1-1-1-1111111-1-111111-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11-111-1-111-1-11-1
χ1011111111-1-1-1-111-1-1-1-1111111-1-111111-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-11-1-111-1-111-11
χ1111111111-1-1-1-111-1-1-1-1111111-1-111111-1-11-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-111111-111-1-1-1-111-11
χ1211111111-1-1-1-111-1-1-1-1111111-1-111111-1-11-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-11111-11-1-11111-1-11-1
χ1311111111-1-1-1-111-1-1-1-1111111-1-11-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111-1-1-11111-1-1-11
χ1411111111-1-1-1-111-1-1-1-1111111-1-11-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1111-1-1-1-1111-1
χ1511111111-1-1-1-111-1-1-1-1111111-1-11-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-11111-1-1111111-1-1-1-11-1-1-111-1-1111-1
χ1611111111-1-1-1-111-1-1-1-1111111-1-11-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-111-1-111111111-1-1-1-1-1111-1-111-1-1-11
χ1722222222222222-2-2-2-2-2-222-2-2-2-2-2222222-20000000000000000-2-2220000-2-200000000000000000000
χ1822222222222222-2-2-2-2-2-222-2-2-2-2-2-2-2-2-222-2000000000000000022-2-200002200000000000000000000
χ19222222222222-2-2222222-2-222-2-2-20000-2-2-20000000000000000000022220000000000-2-20000000000
χ20222222222222-2-2222222-2-222-2-2-20000-2-2-200000000000000000000-2-2-2-20000000000220000000000
χ21222222222222-2-2-2-2-2-2-2-2-2-2-2-22220000-2-220000000000000000000000000000000000002-22-2000000
χ22222222222222-2-2-2-2-2-2-2-2-2-2-2-22220000-2-22000000000000000000000000000000000000-22-22000000
χ2322222222-2-2-2-2222222-2-222-2-222-22222-2-2-20000000000000000-2-2-2-200002200000000000000000000
χ2422222222-2-2-2-2222222-2-222-2-222-2-2-2-2-2-2-2-2000000000000000022220000-2-200000000000000000000
χ2522222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-2200002220000000000000000000000000000000000002-2-22000000
χ2622222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-220000222000000000000000000000000000000000000-222-2000000
χ2722222222-2-2-2-2-2-2-2-2-2-222-2-22222-2000022-20000000000000000000022-2-20000000000-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-222-2-22222-2000022-200000000000000000000-2-22200000000002-20000000000
χ2922-22-2-22-200002-20000222-2-2-200-22i2i−2i−2i002000000002222-2-2-2-22i−2i0000000000002i2i−2i−2i000000000000
χ3022-22-2-22-200002-20000222-2-2-200-22i2i−2i−2i00200000000-2-2-2-222222i−2i000000000000−2i−2i2i2i000000000000
χ3122-22-2-22-200002-20000222-2-2-200-2−2i−2i2i2i002000000002222-2-2-2-2−2i2i000000000000−2i−2i2i2i000000000000
χ3222-22-2-22-200002-20000222-2-2-200-2−2i−2i2i2i00200000000-2-2-2-22222−2i2i0000000000002i2i−2i−2i000000000000
χ3322-22-2-22-200002-20000-2-22-2220022i2i−2i−2i00-22i2i2i2i−2i−2i−2i−2i00000000−2i2i0000000022-2-20000000000000000
χ3422-22-2-22-200002-20000-2-22-2220022i2i−2i−2i00-2−2i−2i−2i−2i2i2i2i2i00000000−2i2i00000000-2-2220000000000000000
χ3522-22-2-22-200002-20000-2-22-222002−2i−2i2i2i00-22i2i2i2i−2i−2i−2i−2i000000002i−2i00000000-2-2220000000000000000
χ3622-22-2-22-200002-20000-2-22-222002−2i−2i2i2i00-2−2i−2i−2i−2i2i2i2i2i000000002i−2i0000000022-2-20000000000000000
χ372-222-2-2-222i2i−2i−2i-220000002-2000002-22-22i−2i0i2i2−i2−i2i2i2−i2−i222−2−222−2−2002i−2i000000i2−i2i2−i22−22−2000000000000
χ382-222-2-2-222i2i−2i−2i-220000002-2000002-22-22i−2i0−i2−i2i2i2−i2−i2i2i2−2−222−2−222002i−2i000000−i2i2−i2i2−22−22000000000000
χ392-222-2-2-222i2i−2i−2i-220000002-200000-22-222i−2i0i2i2−i2−i2i2i2−i2−i222−2−222−2−200−2i2i000000−i2i2−i2i2−22−22000000000000
χ402-222-2-2-222i2i−2i−2i-220000002-200000-22-222i−2i0−i2−i2i2i2−i2−i2i2i2−2−222−2−22200−2i2i000000i2−i2i2−i22−22−2000000000000
χ412-222-2-2-22−2i−2i2i2i-220000002-2000002-22-2−2i2i0i2i2−i2−i2i2i2−i2−i2−2−222−2−22200−2i2i000000i2−i2i2−i2−22−22000000000000
χ422-222-2-2-22−2i−2i2i2i-220000002-2000002-22-2−2i2i0−i2−i2i2i2−i2−i2i2i222−2−222−2−200−2i2i000000−i2i2−i2i22−22−2000000000000
χ432-222-2-2-22−2i−2i2i2i-220000002-200000-22-22−2i2i0i2i2−i2−i2i2i2−i2−i2−2−222−2−222002i−2i000000−i2i2−i2i22−22−2000000000000
χ442-222-2-2-22−2i−2i2i2i-220000002-200000-22-22−2i2i0−i2−i2i2i2−i2−i2i2i222−2−222−2−2002i−2i000000i2−i2i2−i2−22−22000000000000
χ452-22-22-22-22i−2i2i−2i002i2i−2i−2i2-2002-20000000000i2−i2i2−i2i2−i2i2−i22−22−22−22−200002i−2i2-200000000000000002−2i2−i200
χ462-22-22-22-22i−2i2i−2i002i2i−2i−2i2-2002-20000000000i2−i2i2−i2i2−i2i2−i22−22−22−22−20000−2i2i-220000000000000000−22−i2i200
χ472-22-22-22-22i−2i2i−2i002i2i−2i−2i2-2002-20000000000−i2i2−i2i2−i2i2−i2i2−22−22−22−2200002i−2i2-20000000000000000−22−i2i200
χ482-22-22-22-22i−2i2i−2i002i2i−2i−2i2-2002-20000000000−i2i2−i2i2−i2i2−i2i2−22−22−22−220000−2i2i-2200000000000000002−2i2−i200
χ492-22-22-22-2−2i2i−2i2i00−2i−2i2i2i2-2002-20000000000i2−i2i2−i2i2−i2i2−i2−22−22−22−2200002i−2i-2200000000000000002−2−i2i200
χ502-22-22-22-2−2i2i−2i2i00−2i−2i2i2i2-2002-20000000000i2−i2i2−i2i2−i2i2−i2−22−22−22−220000−2i2i2-20000000000000000−22i2−i200
χ512-22-22-22-2−2i2i−2i2i00−2i−2i2i2i2-2002-20000000000−i2i2−i2i2−i2i2−i2i22−22−22−22−200002i−2i-220000000000000000−22i2−i200
χ522-22-22-22-2−2i2i−2i2i00−2i−2i2i2i2-2002-20000000000−i2i2−i2i2−i2i2−i2i22−22−22−22−20000−2i2i2-200000000000000002−2−i2i200
χ532-2-2222-2-20000-2-22-22-20022002-202i−2i−2i2i00022−2−2−2−22222−2−2−2−222000000002i−2i−i2i2i2−i2i2−i2−i2i2000000000000
χ542-2-2222-2-20000-2-22-22-20022002-202i−2i−2i2i000−2−22222−2−2−2−22222−2−2000000002i−2ii2−i2−i2i2−i2i2i2−i2000000000000
χ552-2-2222-2-20000-2-22-22-20022002-20−2i2i2i−2i00022−2−2−2−22222−2−2−2−22200000000−2i2ii2−i2−i2i2−i2i2i2−i2000000000000
χ562-2-2222-2-20000-2-22-22-20022002-20−2i2i2i−2i000−2−22222−2−2−2−22222−2−200000000−2i2i−i2i2i2−i2i2−i2−i2i2000000000000
χ572-2-2222-2-20000-2-2-22-22002200-2202i−2i−2i2i00022−2−2−2−222−2−22222−2−200000000−2i2i−i2i2i2−i2−i2i2i2−i2000000000000
χ582-2-2222-2-20000-2-2-22-22002200-2202i−2i−2i2i000−2−22222−2−222−2−2−2−22200000000−2i2ii2−i2−i2i2i2−i2−i2i2000000000000
χ592-2-2222-2-20000-2-2-22-22002200-220−2i2i2i−2i00022−2−2−2−222−2−22222−2−2000000002i−2ii2−i2−i2i2i2−i2−i2i2000000000000
χ602-2-2222-2-20000-2-2-22-22002200-220−2i2i2i−2i000−2−22222−2−222−2−2−2−222000000002i−2i−i2i2i2−i2−i2i2i2−i2000000000000
χ61444-4-44-4-44-4-4400000000000000000000002-2-222-2-222-2-222-2-22000000000000000000000000000000
χ62444-4-44-4-44-4-440000000000000000000000-222-2-222-2-222-2-222-2000000000000000000000000000000
χ63444-4-44-4-4-444-400000000000000000000002-2-222-2-22-222-2-222-2000000000000000000000000000000
χ64444-4-44-4-4-444-40000000000000000000000-222-2-222-22-2-222-2-22000000000000000000000000000000
χ6544-44-4-44-40000-44000044-44-4-4004000000-40000000000000000000000000000000000000000000000
χ6644-44-4-44-40000-440000-4-4-444400-400000040000000000000000000000000000000000000000000000
χ6744-4-44-4-440000004i−4i−4i4i00000000000000002i−2i−2i2i−2i2i2i−2i2-2-22-222-2000000000000000000000000000000
χ6844-4-44-4-440000004i−4i−4i4i0000000000000000−2i2i2i−2i2i−2i−2i2i-222-22-2-22000000000000000000000000000000
χ6944-4-44-4-44000000−4i4i4i−4i00000000000000002i−2i−2i2i−2i2i2i−2i-222-22-2-22000000000000000000000000000000
χ7044-4-44-4-44000000−4i4i4i−4i0000000000000000−2i2i2i−2i2i−2i−2i2i2-2-22-222-2000000000000000000000000000000
χ714-444-4-4-444i4i−4i−4i4-4000000-44000000000−4i4i00000000000000000000000000000000000000000000000
χ724-444-4-4-44−4i−4i4i4i4-4000000-440000000004i−4i00000000000000000000000000000000000000000000000
χ734-44-44-44-44i−4i4i−4i00−4i−4i4i4i-4400-4400000000000000000000000000000000000000000000000000000000
χ744-44-44-44-4−4i4i−4i4i004i4i−4i−4i-4400-4400000000000000000000000000000000000000000000000000000000
χ754-4-4444-4-40000444-44-400-4-400-44000000000000000000000000000000000000000000000000000000
χ764-4-4444-4-4000044-44-4400-4-4004-4000000000000000000000000000000000000000000000000000000
χ774-4-4-4-444400000000004-400-4400000000000000000022−2222−22−2222−2222000000000000000000000000000000
χ784-4-4-4-444400000000004-400-44000000000000000000−2222−222222−2222−22000000000000000000000000000000
χ794-4-4-4-44440000000000-44004-4000000000022−2222−22−2222−222200000000000000000000000000000000000000
χ804-4-4-4-44440000000000-44004-40000000000−2222−222222−2222−2200000000000000000000000000000000000000

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