Finite Group Databasebeta

← Group #295513

Character table — Group #295513

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11111111222222222222222244444444444444444444444444888888888888888888161616161616161616163232
order12222222444444444444444444444444448888888888888888444444444488888888444444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
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
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ611111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ711111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111
χ811111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1
χ911111111-1-1-1-111111-1-1-1-1111-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-11-111-1-11-1
χ1011111111-1-1-1-111111-1-1-1-1111-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-11-1-111-11
χ1111111111-1-1-1-111111-1-1-1-1111-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1111111-1-11-1-1-111-11
χ1211111111-1-1-1-111111-1-1-1-1111-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-11111-1-111-1111-1-11-1
χ1311111111-1-1-1-111111-1-1-1-1111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1111-111-1-1-11
χ1411111111-1-1-1-111111-1-1-1-1111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-11-1-1111-1
χ1511111111-1-1-1-111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-11111-1-1-1-1-1-1111-1-1-1111-1
χ1611111111-1-1-1-111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-111-1-1-1111-1-1-11
χ17222222222222222-2-2-2-2-2-2-2-22222222-2-2-2-2000000000000000022-2-2-2-2000000000000000000000000
χ18222222222222222-2-2-2-2-2-2-2-2222-2-2-2-2-2-2-2-20000000000000000-2-22222000000000000000000000000
χ19222222222222-2-2-222222222-2-2-20000-2-2-2-200000000000000000000002222000000000000-2-2000000
χ20222222222222-2-2-222222222-2-2-20000-2-2-2-20000000000000000000000-2-2-2-200000000000022000000
χ21222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-20000222200000000000000000000000000000000002-22-200000000
χ22222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2000022220000000000000000000000000000000000-22-2200000000
χ2322222222-2-2-2-2222-2-22222-2-22-2-2222222-2-20000000000000000-2-222-2-2000000000000000000000000
χ2422222222-2-2-2-2222-2-22222-2-22-2-2-2-2-2-222-2-2000000000000000022-2-222000000000000000000000000
χ2522222222-2-2-2-2-2-2-222-2-2-2-222-222000022-2-2000000000000000000000022-2-2000000000000-22000000
χ2622222222-2-2-2-2-2-2-222-2-2-2-222-222000022-2-20000000000000000000000-2-2220000000000002-2000000
χ2722222222-2-2-2-2-2-2-2-2-22222-2-2-2220000-2-22200000000000000000000000000000000002-2-2200000000
χ2822222222-2-2-2-2-2-2-2-2-22222-2-2-2220000-2-2220000000000000000000000000000000000-222-200000000
χ292222-2-2-2-222-2-222-200000000-22-222-2-200002222−2−2−2−22222−2−2−2−22-20000000022−2−222−2−2000000000000
χ302222-2-2-2-222-2-222-200000000-22-222-2-20000−2−2−2−22222−2−2−2−222222-200000000−2−222−2−222000000000000
χ312222-2-2-2-222-2-222-200000000-22-2-2-22200002222−2−2−2−22222−2−2−2−2-2200000000−2−222−2−222000000000000
χ322222-2-2-2-222-2-222-200000000-22-2-2-2220000−2−2−2−22222−2−2−2−22222-220000000022−2−222−2−2000000000000
χ332222-2-2-2-2-2-22222-200000000-2-2222-2-200002222−2−2−2−2−2−2−2−22222-220000000022−2−2−2−222000000000000
χ342222-2-2-2-2-2-22222-200000000-2-2222-2-20000−2−2−2−222222222−2−2−2−2-2200000000−2−22222−2−2000000000000
χ352222-2-2-2-2-2-22222-200000000-2-22-2-22200002222−2−2−2−2−2−2−2−222222-200000000−2−22222−2−2000000000000
χ362222-2-2-2-2-2-22222-200000000-2-22-2-2220000−2−2−2−222222222−2−2−2−22-20000000022−2−2−2−222000000000000
χ3722-2-2-2-2222-22-20002222-2-2-2-20000000000022−2−222−2−222−2−222−2−20000002i−2i2i−2i00000000000000i2−i2i2−i200
χ3822-2-2-2-2222-22-20002222-2-2-2-20000000000022−2−222−2−222−2−222−2−2000000−2i2i−2i2i00000000000000−i2i2−i2i200
χ3922-2-2-2-2222-22-20002222-2-2-2-200000000000−2−222−2−222−2−222−2−2220000002i−2i2i−2i00000000000000−i2i2−i2i200
χ4022-2-2-2-2222-22-20002222-2-2-2-200000000000−2−222−2−222−2−222−2−222000000−2i2i−2i2i00000000000000i2−i2i2−i200
χ4122-2-2-2-222-22-2200022-2-222-2-20000000000022−2−222−2−2−2−222−2−2220000002i−2i−2i2i00000000000000i2−i2−i2i200
χ4222-2-2-2-222-22-2200022-2-222-2-20000000000022−2−222−2−2−2−222−2−222000000−2i2i2i−2i00000000000000−i2i2i2−i200
χ4322-2-2-2-222-22-2200022-2-222-2-200000000000−2−222−2−22222−2−222−2−20000002i−2i−2i2i00000000000000−i2i2i2−i200
χ4422-2-2-2-222-22-2200022-2-222-2-200000000000−2−222−2−22222−2−222−2−2000000−2i2i2i−2i00000000000000i2−i2−i2i200
χ452-22-22-22-200002-2-22-200002-22002i−2i2i−2i002-2000000002i−2i2i−2i2i−2i2i−2i00002i−2i000000002-22-2000000000000
χ462-22-22-22-200002-2-22-200002-22002i−2i2i−2i002-200000000−2i2i−2i2i−2i2i−2i2i00002i−2i00000000-22-22000000000000
χ472-22-22-22-200002-2-22-200002-2200−2i2i−2i2i002-2000000002i−2i2i−2i2i−2i2i−2i0000−2i2i00000000-22-22000000000000
χ482-22-22-22-200002-2-22-200002-2200−2i2i−2i2i002-200000000−2i2i−2i2i−2i2i−2i2i0000−2i2i000000002-22-2000000000000
χ492-22-22-22-200002-2-2-220000-222002i−2i2i−2i00-222i−2i2i−2i2i−2i2i−2i000000000000−2i2i00002-22-20000000000000000
χ502-22-22-22-200002-2-2-220000-222002i−2i2i−2i00-22−2i2i−2i2i−2i2i−2i2i000000000000−2i2i0000-22-220000000000000000
χ512-22-22-22-200002-2-2-220000-22200−2i2i−2i2i00-222i−2i2i−2i2i−2i2i−2i0000000000002i−2i0000-22-220000000000000000
χ522-22-22-22-200002-2-2-220000-22200−2i2i−2i2i00-22−2i2i−2i2i−2i2i−2i2i0000000000002i−2i00002-22-20000000000000000
χ532-22-2-22-2200002-22002-22-200-2002i−2i−2i2i2-200i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2002i−2i0000002−2−222−2−22000000000000
χ542-22-2-22-2200002-22002-22-200-2002i−2i−2i2i2-200−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2002i−2i000000−222−2−222−2000000000000
χ552-22-2-22-2200002-22002-22-200-200−2i2i2i−2i2-200i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i200−2i2i000000−222−2−222−2000000000000
χ562-22-2-22-2200002-22002-22-200-200−2i2i2i−2i2-200−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i200−2i2i0000002−2−222−2−22000000000000
χ572-22-2-22-2200002-2200-22-2200-2002i−2i−2i2i-2200i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i200−2i2i0000002−2−22−222−2000000000000
χ582-22-2-22-2200002-2200-22-2200-2002i−2i−2i2i-2200−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i200−2i2i000000−222−22−2−22000000000000
χ592-22-2-22-2200002-2200-22-2200-200−2i2i2i−2i-2200i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2002i−2i000000−222−22−2−22000000000000
χ602-22-2-22-2200002-2200-22-2200-200−2i2i2i−2i-2200−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2002i−2i0000002−2−22−222−2000000000000
χ614444-4-4-4-444-4-4-4-44000000004-44000000000000000000000000000000000000000000000000000000
χ624444-4-4-4-4-4-444-4-440000000044-4000000000000000000000000000000000000000000000000000000
χ6344-4-444-4-44-4-44000000000000000000000022-2-2-2-22222-2-2-2-222000000000000000000000000000000
χ6444-4-444-4-44-4-440000000000000000000000-2-22222-2-2-2-22222-2-2000000000000000000000000000000
χ6544-4-444-4-4-444-4000000000000000000000022-2-2-2-222-2-22222-2-2000000000000000000000000000000
χ6644-4-444-4-4-444-40000000000000000000000-2-22222-2-222-2-2-2-222000000000000000000000000000000
χ6744-4-4-4-4444-44-4000-4-4-4-44444000000000000000000000000000000000000000000000000000000000
χ6844-4-4-4-444-44-44000-4-444-4-444000000000000000000000000000000000000000000000000000000000
χ694-44-44-44-40000-4444-400004-4-400000000-440000000000000000000000000000000000000000000000
χ704-44-44-44-40000-444-440000-44-4000000004-40000000000000000000000000000000000000000000000
χ714-44-4-44-440000-44-4004-44-4004000000-44000000000000000000000000000000000000000000000000
χ724-44-4-44-440000-44-400-44-440040000004-4000000000000000000000000000000000000000000000000
χ734-4-444-4-440000000004-4-4400000000000002i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i000000000000000000000000000000
χ744-4-444-4-440000000004-4-440000000000000−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000
χ754-4-444-4-44000000000-444-400000000000002i−2i−2i2i−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000
χ764-4-444-4-44000000000-444-40000000000000−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i−2i2i2i−2i000000000000000000000000000000
χ774-4-44-444-400000004-40000-4400000000000000000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000000000
χ784-4-44-444-400000004-40000-440000000000000000000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000000000
χ794-4-44-444-40000000-4400004-4000000000002i2−2i2−2i22i22i2−2i2−2i22i200000000000000000000000000000000000000
χ804-4-44-444-40000000-4400004-400000000000−2i22i22i2−2i2−2i22i22i2−2i200000000000000000000000000000000000000

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