Finite Group Databasebeta

← Group #292307

Character table — Group #292307

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11111111222222222222222244444444444444444444444444888888888888888888161616161616161616163232
order12222222222244444444444444444444448888888888888888444444444488888888244444888824
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
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
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111-1-1-1-11111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-1
χ611111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111
χ711111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111111-1-1-1-11-1-1-1-111
χ811111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111-11111-1-1
χ911111111-1-1-1-1111-1-1-1-111111-1-111111-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-111111-1-11-1
χ1011111111-1-1-1-1111-1-1-1-111111-1-111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111-1-1-1-1-111-11
χ1111111111-1-1-1-1111-1-1-1-111111-1-111111-1-11-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1111-1-111-11
χ1211111111-1-1-1-1111-1-1-1-111111-1-111111-1-11-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111111-1-1-111-1-11-1
χ1311111111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-111-1-1111-1-1-11
χ1411111111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111-1-111-1-1-1111-1
χ1511111111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-111-1-11-1-1111-1
χ1611111111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-111111111-1-11111-1-1111111-1-1-1-11-1-111-111-1-1-11
χ172222222222222222222-2-2-2-22-2-20000-2-2-2-20000000000000000220022000000000000-20000-2000000
χ182222222222222222222-2-2-2-22-2-20000-2-2-2-20000000000000000-2-200-2-2000000000000200002000000
χ19222222222222-2-2-2-2-2-2-22222-2222222-2-2-2-20000000000000000002200-2-2-2-200000000000000000000
χ20222222222222-2-2-2-2-2-2-22222-222-2-2-2-2-2-2-2-2000000000000000000-2-200222200000000000000000000
χ21222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-200002222000000000000000000000000000000000002-22-20000000
χ22222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-20000222200000000000000000000000000000000000-22-220000000
χ2322222222-2-2-2-2222-2-2-2-2-2-2-2-22220000-222-200000000000000002200-2-200000000000020000-2000000
χ2422222222-2-2-2-2222-2-2-2-2-2-2-2-22220000-222-20000000000000000-2-20022000000000000-200002000000
χ2522222222-2-2-2-2-2-2-222222222-2-2-22222-222-2000000000000000000-2-200-2-22200000000000000000000
χ2622222222-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222-2000000000000000000220022-2-200000000000000000000
χ2722222222-2-2-2-2-2-2-22222-2-2-2-2-22200002-2-22000000000000000000000000000000000002-2-220000000
χ2822222222-2-2-2-2-2-2-22222-2-2-2-2-22200002-2-2200000000000000000000000000000000000-222-20000000
χ2922-22-2-22-2000022-200002-22-2-2002i2i−2i−2i-20022222-2-2-2-2000000000000002i−2i002i2i−2i−2i0000000000000000
χ3022-22-2-22-2000022-200002-22-2-2002i2i−2i−2i-2002-2-2-2-22222000000000000002i−2i00−2i−2i2i2i0000000000000000
χ3122-22-2-22-2000022-200002-22-2-200−2i−2i2i2i-20022222-2-2-2-200000000000000−2i2i00−2i−2i2i2i0000000000000000
χ3222-22-2-22-2000022-200002-22-2-200−2i−2i2i2i-2002-2-2-2-2222200000000000000−2i2i002i2i−2i−2i0000000000000000
χ3322-22-2-22-20000-2-2200002-22-22002i2i−2i−2i200-2000000002i2i2i2i−2i−2i−2i−2i000000−2i2i00000022-2-2000000000000
χ3422-22-2-22-20000-2-2200002-22-22002i2i−2i−2i200-200000000−2i−2i−2i−2i2i2i2i2i000000−2i2i000000-2-222000000000000
χ3522-22-2-22-20000-2-2200002-22-2200−2i−2i2i2i200-2000000002i2i2i2i−2i−2i−2i−2i0000002i−2i000000-2-222000000000000
χ3622-22-2-22-20000-2-2200002-22-2200−2i−2i2i2i200-200000000−2i−2i−2i−2i2i2i2i2i0000002i−2i00000022-2-2000000000000
χ3722-2-22-2-2222-2-22-2222-2-20000-20000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i22i−2i002i−2i0000000000000000002−22−200
χ3822-2-22-2-2222-2-22-2222-2-20000-20000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−2i2i00−2i2i000000000000000000−22−2200
χ3922-2-22-2-2222-2-22-2222-2-20000-20000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i22i−2i002i−2i000000000000000000−22−2200
χ4022-2-22-2-2222-2-22-2222-2-20000-20000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−2i2i00−2i2i0000000000000000002−22−200
χ4122-2-22-2-22-2-2222-22-2-2220000-20000000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i22i−2i00−2i2i0000000000000000002−2−2200
χ4222-2-22-2-22-2-2222-22-2-2220000-20000000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2−2i2i002i−2i000000000000000000−222−200
χ4322-2-22-2-22-2-2222-22-2-2220000-20000000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i22i−2i00−2i2i000000000000000000−222−200
χ4422-2-22-2-22-2-2222-22-2-2220000-20000000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−2i2i002i−2i0000000000000000002−2−2200
χ452-222-2-2-222-22-2000000022-2-202-22i−2i2i−2i0000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2002i−2i0000002−22−22−22−2000000000000
χ462-222-2-2-222-22-2000000022-2-202-22i−2i2i−2i0000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2002i−2i000000−22−22−22−22000000000000
χ472-222-2-2-222-22-2000000022-2-202-2−2i2i−2i2i0000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200−2i2i000000−22−22−22−22000000000000
χ482-222-2-2-222-22-2000000022-2-202-2−2i2i−2i2i0000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200−2i2i0000002−22−22−22−2000000000000
χ492-222-2-2-22-22-22000000022-2-20-222i−2i2i−2i0000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i200−2i2i0000002−22−2−22−22000000000000
χ502-222-2-2-22-22-22000000022-2-20-222i−2i2i−2i0000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i200−2i2i000000−22−222−22−2000000000000
χ512-222-2-2-22-22-22000000022-2-20-22−2i2i−2i2i0000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2002i−2i000000−22−222−22−2000000000000
χ522-222-2-2-22-22-22000000022-2-20-22−2i2i−2i2i0000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2002i−2i0000002−22−2−22−22000000000000
χ532-2-2222-2-200000002i−2i2i−2i2-2-220002-2-2202i−2i0i2−i2i2−i2−i2i2−i2i22−22−2−22−22000000002i−2i−i2i2i2−i22−2−22000000000000
χ542-2-2222-2-200000002i−2i2i−2i2-2-220002-2-2202i−2i0−i2i2−i2i2i2−i2i2−i2−22−222−22−2000000002i−2ii2−i2−i2i2−222−2000000000000
χ552-2-2222-2-200000002i−2i2i−2i2-2-22000-222-202i−2i0i2−i2i2−i2−i2i2−i2i22−22−2−22−2200000000−2i2ii2−i2−i2i2−222−2000000000000
χ562-2-2222-2-200000002i−2i2i−2i2-2-22000-222-202i−2i0−i2i2−i2i2i2−i2i2−i2−22−222−22−200000000−2i2i−i2i2i2−i22−2−22000000000000
χ572-2-2222-2-20000000−2i2i−2i2i2-2-220002-2-220−2i2i0i2−i2i2−i2−i2i2−i2i2−22−222−22−200000000−2i2i−i2i2i2−i2−222−2000000000000
χ582-2-2222-2-20000000−2i2i−2i2i2-2-220002-2-220−2i2i0−i2i2−i2i2i2−i2i2−i22−22−2−22−2200000000−2i2ii2−i2−i2i22−2−22000000000000
χ592-2-2222-2-20000000−2i2i−2i2i2-2-22000-222-20−2i2i0i2−i2i2−i2−i2i2−i2i2−22−222−22−2000000002i−2ii2−i2−i2i22−2−22000000000000
χ602-2-2222-2-20000000−2i2i−2i2i2-2-22000-222-20−2i2i0−i2i2−i2i2i2−i2i2−i22−22−2−22−22000000002i−2i−i2i2i2−i2−222−2000000000000
χ61444-4-44-4-400004-4-400000000400000000002i22i2−2i2−2i2−2i2−2i22i22i200000000000000000000000000000000000000
χ62444-4-44-4-400004-4-40000000040000000000−2i2−2i22i22i22i22i2−2i2−2i200000000000000000000000000000000000000
χ63444-4-44-4-40000-44400000000-40000000000000000002222−22−22−22−222222000000000000000000000000000000
χ64444-4-44-4-40000-44400000000-4000000000000000000−22−2222222222−22−22000000000000000000000000000000
χ6544-44-4-44-4000044-40000-44-44-4000000400-40000000000000000000000000000000000000000000000
χ6644-44-4-44-40000-4-440000-44-444000000-40040000000000000000000000000000000000000000000000
χ6744-4-44-4-4444-4-4-44-4-4-4440000400000000000000000000000000000000000000000000000000000000
χ6844-4-44-4-44-4-444-44-444-4-40000400000000000000000000000000000000000000000000000000000000
χ694-444-4-4-444-44-40000000-4-4440-44000000000000000000000000000000000000000000000000000000
χ704-444-4-4-44-44-440000000-4-44404-4000000000000000000000000000000000000000000000000000000
χ714-44-44-44-400000004i−4i−4i4i0000000000000002-2-22-222-2−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000
χ724-44-44-44-400000004i−4i−4i4i000000000000000-222-22-2-222i−2i−2i2i−2i2i2i−2i000000000000000000000000000000
χ734-44-44-44-40000000−4i4i4i−4i0000000000000002-2-22-222-22i−2i−2i2i−2i2i2i−2i000000000000000000000000000000
χ744-44-44-44-40000000−4i4i4i−4i000000000000000-222-22-2-22−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000
χ754-4-4444-4-400000004i−4i4i−4i-444-400000000−4i4i00000000000000000000000000000000000000000000000
χ764-4-4444-4-40000000−4i4i−4i4i-444-4000000004i−4i00000000000000000000000000000000000000000000000
χ774-4-4-4-44444-4-4400000000000000000000002-2-222-2-222-2-222-2-22000000000000000000000000000000
χ784-4-4-4-44444-4-440000000000000000000000-222-2-222-2-222-2-222-2000000000000000000000000000000
χ794-4-4-4-4444-444-400000000000000000000002-2-222-2-22-222-2-222-2000000000000000000000000000000
χ804-4-4-4-4444-444-40000000000000000000000-222-2-222-22-2-222-2-22000000000000000000000000000000

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