Finite Group Databasebeta

← Group #293501

Character table — Group #293501

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11111111222222222222222244444444444444444444444444888888888888888888161616161616161616163232
order12222222444444444444444444444444448888888888888888224444444488888888444444888822
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
χ511111111111111111111111111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ611111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1
χ911111111111-1-1-1-1-1-1-1-111111-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-111-1-111-1-11-1
χ1011111111111-1-1-1-1-1-1-1-111111-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-11-1-111-1-111-11
χ1111111111111-1-1-1-1-1-1-1-111111-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111111-111-1-1-1-111-11
χ1211111111111-1-1-1-1-1-1-1-111111-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1-1-11111-11-1-11111-1-11-1
χ1311111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111111-1-1-11111-1-1-11
χ1411111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1111-1-1-1-1111-1
χ1511111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-1111111-1-1-1-11-1-1-111-1-1111-1
χ1611111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1111-1-111-1-1-11
χ17222222222222222-2-2-2-2-2-2-2-22222222-2-2-2-2000000000000000022-2-20000-2-200000000000000000000
χ18222222222222222-2-2-2-2-2-2-2-2222-2-2-2-2-2-2-2-20000000000000000-2-22200002200000000000000000000
χ1922222222222-2-2-2-22222-2-2-2-22-2-2222222-2-20000000000000000-2-2-2-200002200000000000000000000
χ2022222222222-2-2-2-22222-2-2-2-22-2-2-2-2-2-222-2-2000000000000000022220000-2-200000000000000000000
χ2122222222-2-2-2222222222222-2-2-20000-2-2-2-20000000000000000000022220000000000-2-20000000000
χ2222222222-2-2-2222222222222-2-2-20000-2-2-2-200000000000000000000-2-2-2-20000000000220000000000
χ2322222222-2-2-22222-2-2-2-2-2-2-2-2-2-2-2000022220000000000000000000000000000000000002-22-2000000
χ2422222222-2-2-22222-2-2-2-2-2-2-2-2-2-2-200002222000000000000000000000000000000000000-22-22000000
χ2522222222-2-2-2-2-2-2-22222-2-2-2-2-2220000-2-2220000000000000000000000000000000000002-2-22000000
χ2622222222-2-2-2-2-2-2-22222-2-2-2-2-2220000-2-222000000000000000000000000000000000000-222-2000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-22222-222000022-2-20000000000000000000022-2-20000000000-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-22222-222000022-2-200000000000000000000-2-22200000000002-20000000000
χ292222-2-2-2-22-2-222-2-20000000022-222-2-20000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i22-200000000i2i2−i2−i2i2i2−i2−i2000000000000
χ302222-2-2-2-22-2-222-2-20000000022-222-2-20000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i22-200000000−i2−i2i2i2−i2−i2i2i2000000000000
χ312222-2-2-2-22-2-222-2-20000000022-2-2-2220000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2-2200000000−i2−i2i2i2−i2−i2i2i2000000000000
χ322222-2-2-2-22-2-222-2-20000000022-2-2-2220000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2-2200000000i2i2−i2−i2i2i2−i2−i2000000000000
χ332222-2-2-2-22-2-2-2-222000000002-2222-2-20000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2-2200000000i2i2−i2−i2−i2−i2i2i2000000000000
χ342222-2-2-2-22-2-2-2-222000000002-2222-2-20000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2-2200000000−i2−i2i2i2i2i2−i2−i2000000000000
χ352222-2-2-2-22-2-2-2-222000000002-22-2-2220000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i22-200000000−i2−i2i2i2i2i2−i2−i2000000000000
χ362222-2-2-2-22-2-2-2-222000000002-22-2-2220000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i22-200000000i2i2−i2−i2−i2−i2i2i2000000000000
χ3722-2-22-2-2222-2000022-2-20000-2002i−2i2i−2i2-20022−2−222−2−222−2−222−2−2000000002i−2ii2−i2i2−i2i2−i2i2−i2000000000000
χ3822-2-22-2-2222-2000022-2-20000-2002i−2i2i−2i2-200−2−222−2−222−2−222−2−222000000002i−2i−i2i2−i2i2−i2i2−i2i2000000000000
χ3922-2-22-2-2222-2000022-2-20000-200−2i2i−2i2i2-20022−2−222−2−222−2−222−2−200000000−2i2i−i2i2−i2i2−i2i2−i2i2000000000000
χ4022-2-22-2-2222-2000022-2-20000-200−2i2i−2i2i2-200−2−222−2−222−2−222−2−22200000000−2i2ii2−i2i2−i2i2−i2i2−i2000000000000
χ4122-2-22-2-2222-20000-2-2220000-2002i−2i2i−2i-220022−2−222−2−2−2−222−2−22200000000−2i2ii2−i2i2−i2−i2i2−i2i2000000000000
χ4222-2-22-2-2222-20000-2-2220000-2002i−2i2i−2i-2200−2−222−2−22222−2−222−2−200000000−2i2i−i2i2−i2i2i2−i2i2−i2000000000000
χ4322-2-22-2-2222-20000-2-2220000-200−2i2i−2i2i-220022−2−222−2−2−2−222−2−222000000002i−2i−i2i2−i2i2i2−i2i2−i2000000000000
χ4422-2-22-2-2222-20000-2-2220000-200−2i2i−2i2i-2200−2−222−2−22222−2−222−2−2000000002i−2ii2−i2i2−i2−i2i2−i2i2000000000000
χ4522-2-2-222-22-22000000002-22-2-2002i−2i−2i2i002-2000000002i2i−2i−2i−2i−2i2i2i002i−2i0000000000-222-2000000000000
χ4622-2-2-222-22-22000000002-22-2-2002i−2i−2i2i002-200000000−2i−2i2i2i2i2i−2i−2i002i−2i00000000002-2-22000000000000
χ4722-2-2-222-22-22000000002-22-2-200−2i2i2i−2i002-2000000002i2i−2i−2i−2i−2i2i2i00−2i2i00000000002-2-22000000000000
χ4822-2-2-222-22-22000000002-22-2-200−2i2i2i−2i002-200000000−2i−2i2i2i2i2i−2i−2i00−2i2i0000000000-222-2000000000000
χ4922-2-2-222-22-2200000000-22-22-2002i−2i−2i2i00-222i2i−2i−2i−2i−2i2i2i0000000000−2i2i000000-222-20000000000000000
χ5022-2-2-222-22-2200000000-22-22-2002i−2i−2i2i00-22−2i−2i2i2i2i2i−2i−2i0000000000−2i2i0000002-2-220000000000000000
χ5122-2-2-222-22-2200000000-22-22-200−2i2i2i−2i00-222i2i−2i−2i−2i−2i2i2i00000000002i−2i0000002-2-220000000000000000
χ5222-2-2-222-22-2200000000-22-22-200−2i2i2i−2i00-22−2i−2i2i2i2i2i−2i−2i00000000002i−2i000000-222-20000000000000000
χ532-2-222-22-20002-22-22-22-222-2-200000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200002i−2i2i−2i00000000000000002−22−200
χ542-2-222-22-20002-22-22-22-222-2-200000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000−2i2i−2i2i0000000000000000−22−2200
χ552-2-222-22-20002-22-22-22-222-2-200000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200002i−2i2i−2i0000000000000000−22−2200
χ562-2-222-22-20002-22-22-22-222-2-200000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000−2i2i−2i2i00000000000000002−22−200
χ572-2-222-22-2000-22-22-22-2222-2-200000000000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i200002i−2i−2i2i00000000000000002−2−2200
χ582-2-222-22-2000-22-22-22-2222-2-200000000000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i20000−2i2i2i−2i0000000000000000−222−200
χ592-2-222-22-2000-22-22-22-2222-2-200000000000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i200002i−2i−2i2i0000000000000000−222−200
χ602-2-222-22-2000-22-22-22-2222-2-200000000000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i20000−2i2i2i−2i00000000000000002−2−2200
χ614444-4-4-4-4-44444-4-400000000-4-44000000000000000000000000000000000000000000000000000000
χ624444-4-4-4-4-444-4-44400000000-44-4000000000000000000000000000000000000000000000000000000
χ6344-4-44-4-44-4-44000044-4-400004000000-44000000000000000000000000000000000000000000000000
χ6444-4-44-4-44-4-440000-4-444000040000004-4000000000000000000000000000000000000000000000000
χ6544-4-4-444-4-44-4000000004-44-4400000000-440000000000000000000000000000000000000000000000
χ6644-4-4-444-4-44-400000000-44-444000000004-40000000000000000000000000000000000000000000000
χ674-44-444-4-400000004-4-440000000000000002i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i000000000000000000000000000000
χ684-44-444-4-400000004-4-44000000000000000−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000
χ694-44-444-4-40000000-444-40000000000000002i−2i−2i2i2i−2i−2i2i−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000
χ704-44-444-4-40000000-444-4000000000000000−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i000000000000000000000000000000
χ714-44-4-4-444000000000004-4-44000000000000000000022−22−2222−222222−22000000000000000000000000000000
χ724-44-4-4-444000000000004-4-440000000000000000000−222222−2222−22−2222000000000000000000000000000000
χ734-44-4-4-44400000000000-444-40000000000022−22−2222−222222−2200000000000000000000000000000000000000
χ744-44-4-4-44400000000000-444-400000000000−222222−2222−22−222200000000000000000000000000000000000000
χ754-4-444-44-40004-44-4-44-44-4-444000000000000000000000000000000000000000000000000000000000
χ764-4-444-44-4000-44-444-44-4-4-444000000000000000000000000000000000000000000000000000000000
χ774-4-44-44-440004-4-4400000000000000000002-22-2-22-222-22-2-22-22000000000000000000000000000000
χ784-4-44-44-440004-4-440000000000000000000-22-222-22-2-22-222-22-2000000000000000000000000000000
χ794-4-44-44-44000-444-400000000000000000002-22-2-22-22-22-222-22-2000000000000000000000000000000
χ804-4-44-44-44000-444-40000000000000000000-22-222-22-22-22-2-22-22000000000000000000000000000000

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