Finite Group Databasebeta

← Group #270990

Character table — Group #270990

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11111111222222222222222244444444444444444444444444888888888888888888161616161616161616163232
order12222222222244444444444444444444448888888888888888224444444488888888444444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
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
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
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
χ711111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111
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
χ911111111-1-1-1-1111-1-1-1-111111-1-11-1-11111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-11-1-11111-1-11-1
χ1011111111-1-1-1-1111-1-1-1-111111-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-111-1-1-1-111-11
χ1111111111-1-1-1-1111-1-1-1-111111-1-11-1-111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-11111-11-1-111-1-111-11
χ1211111111-1-1-1-1111-1-1-1-111111-1-11-1-111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111111-111-1-111-1-11-1
χ1311111111-1-1-1-1111-1-1-1-111111-1-11-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1111-1-111-1-1-11
χ1411111111-1-1-1-1111-1-1-1-111111-1-11-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111-1-1-111-1-1111-1
χ1511111111-1-1-1-1111-1-1-1-111111-1-11-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1111-1-1-1-1111-1
χ1611111111-1-1-1-1111-1-1-1-111111-1-11-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-111-1-111111111-1-1-1-11-1-1-11111-1-1-11
χ172222222222222222222-2-2-2-22-2-2-2-2-20000-20000000000000000222200000000000000-2-20000000000
χ182222222222222222222-2-2-2-22-2-2-2-2-20000-20000000000000000-2-2-2-200000000000000220000000000
χ19222222222222-2-2-2-2-2-2-22222-222-2-2-22222-200000000000000000000-2-2-2-22200000000000000000000
χ20222222222222-2-2-2-2-2-2-22222-222-2-2-2-2-2-2-2-2000000000000000000002222-2-200000000000000000000
χ21222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2222000020000000000000000000000000000000000002-22-2000000
χ22222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222200002000000000000000000000000000000000000-22-22000000
χ2322222222-2-2-2-2222-2-2-2-2-2-2-2-2222-2220000-2000000000000000022-2-2000000000000002-20000000000
χ2422222222-2-2-2-2222-2-2-2-2-2-2-2-2222-2220000-20000000000000000-2-22200000000000000-220000000000
χ2522222222-2-2-2-2-2-2-222222222-2-2-2-2222222-200000000000000000000-2-222-2-200000000000000000000
χ2622222222-2-2-2-2-2-2-222222222-2-2-2-222-2-2-2-2-20000000000000000000022-2-22200000000000000000000
χ2722222222-2-2-2-2-2-2-22222-2-2-2-2-2222-2-2000020000000000000000000000000000000000002-2-22000000
χ2822222222-2-2-2-2-2-2-22222-2-2-2-2-2222-2-200002000000000000000000000000000000000000-222-2000000
χ292222-2-2-2-222-2-222-222-2-20000-200000000002222−2−2−2−22222−2−2−2−22-22-2000000000000000000002−22−200
χ302222-2-2-2-222-2-222-222-2-20000-200000000002222−2−2−2−22222−2−2−2−2-22-2200000000000000000000−22−2200
χ312222-2-2-2-222-2-222-222-2-20000-20000000000−2−2−2−22222−2−2−2−222222-22-200000000000000000000−22−2200
χ322222-2-2-2-222-2-222-222-2-20000-20000000000−2−2−2−22222−2−2−2−22222-22-22000000000000000000002−22−200
χ332222-2-2-2-2-2-22222-2-2-2220000-200000000002222−2−2−2−2−2−2−2−222222-2-22000000000000000000002−2−2200
χ342222-2-2-2-2-2-22222-2-2-2220000-200000000002222−2−2−2−2−2−2−2−22222-222-200000000000000000000−222−200
χ352222-2-2-2-2-2-22222-2-2-2220000-20000000000−2−2−2−222222222−2−2−2−22-2-2200000000000000000000−222−200
χ362222-2-2-2-2-2-22222-2-2-2220000-20000000000−2−2−2−222222222−2−2−2−2-222-2000000000000000000002−2−2200
χ3722-2-2-222-200000002i−2i2i−2i2-22-200002i−2i2i2i−2i−2i0i2i2−i2−i2i2i2−i2−i222−2−222−2−20000002-20022−2−2i2i2−i2−i2000000000000
χ3822-2-2-222-200000002i−2i2i−2i2-22-200002i−2i2i2i−2i−2i0−i2−i2i2i2−i2−i2i2i2−2−222−2−2220000002-200−2−222−i2−i2i2i2000000000000
χ3922-2-2-222-200000002i−2i2i−2i2-22-200002i−2i−2i−2i2i2i0i2i2−i2−i2i2i2−i2−i222−2−222−2−2000000-2200−2−222−i2−i2i2i2000000000000
χ4022-2-2-222-200000002i−2i2i−2i2-22-200002i−2i−2i−2i2i2i0−i2−i2i2i2−i2−i2i2i2−2−222−2−222000000-220022−2−2i2i2−i2−i2000000000000
χ4122-2-2-222-20000000−2i2i−2i2i2-22-20000−2i2i2i2i−2i−2i0i2i2−i2−i2i2i2−i2−i2−2−222−2−222000000-220022−2−2−i2−i2i2i2000000000000
χ4222-2-2-222-20000000−2i2i−2i2i2-22-20000−2i2i2i2i−2i−2i0−i2−i2i2i2−i2−i2i2i222−2−222−2−2000000-2200−2−222i2i2−i2−i2000000000000
χ4322-2-2-222-20000000−2i2i−2i2i2-22-20000−2i2i−2i−2i2i2i0i2i2−i2−i2i2i2−i2−i2−2−222−2−2220000002-200−2−222i2i2−i2−i2000000000000
χ4422-2-2-222-20000000−2i2i−2i2i2-22-20000−2i2i−2i−2i2i2i0−i2−i2i2i2−i2−i2i2i222−2−222−2−20000002-20022−2−2−i2−i2i2i2000000000000
χ452-22-222-2-22-22-20000000-2-22202-20002i−2i2i−2i02−22−22−22−22−22−22−22−2000000002i−2ii2−i2i2−i2i2−i2i2−i2000000000000
χ462-22-222-2-22-22-20000000-2-22202-20002i−2i2i−2i0−22−22−22−22−22−22−22−22000000002i−2i−i2i2−i2i2−i2i2−i2i2000000000000
χ472-22-222-2-22-22-20000000-2-22202-2000−2i2i−2i2i02−22−22−22−22−22−22−22−200000000−2i2i−i2i2−i2i2−i2i2−i2i2000000000000
χ482-22-222-2-22-22-20000000-2-22202-2000−2i2i−2i2i0−22−22−22−22−22−22−22−2200000000−2i2ii2−i2i2−i2i2−i2i2−i2000000000000
χ492-22-222-2-2-22-220000000-2-2220-220002i−2i2i−2i02−22−22−22−2−22−22−22−2200000000−2i2ii2−i2i2−i2−i2i2−i2i2000000000000
χ502-22-222-2-2-22-220000000-2-2220-220002i−2i2i−2i0−22−22−22−222−22−22−22−200000000−2i2i−i2i2−i2i2i2−i2i2−i2000000000000
χ512-22-222-2-2-22-220000000-2-2220-22000−2i2i−2i2i02−22−22−22−2−22−22−22−22000000002i−2i−i2i2−i2i2i2−i2i2−i2000000000000
χ522-22-222-2-2-22-220000000-2-2220-22000−2i2i−2i2i0−22−22−22−222−22−22−22−2000000002i−2ii2−i2i2−i2−i2i2−i2i2000000000000
χ532-2-22-22-2200002-220000-222-2-2002002-2-22-22i−2i−2i2i2i−2i−2i2i0000000000002-20000−2i2i2i−2i0000000000000000
χ542-2-22-22-2200002-220000-222-2-2002002-2-22-2−2i2i2i−2i−2i2i2i−2i0000000000002-200002i−2i−2i2i0000000000000000
χ552-2-22-22-2200002-220000-222-2-200200-222-2-22i−2i−2i2i2i−2i−2i2i000000000000-2200002i−2i−2i2i0000000000000000
χ562-2-22-22-2200002-220000-222-2-200200-222-2-2−2i2i2i−2i−2i2i2i−2i000000000000-220000−2i2i2i−2i0000000000000000
χ572-2-22-22-220000-22-20000-222-2200-2002-2-222000000002-2-222-2-220000-22000000002-2-22000000000000
χ582-2-22-22-220000-22-20000-222-2200-2002-2-22200000000-222-2-222-20000-2200000000-222-2000000000000
χ592-2-22-22-220000-22-20000-222-2200-200-222-22000000002-2-222-2-2200002-200000000-222-2000000000000
χ602-2-22-22-220000-22-20000-222-2200-200-222-2200000000-222-2-222-200002-2000000002-2-22000000000000
χ614444-4-4-4-444-4-4-4-44-4-4440000400000000000000000000000000000000000000000000000000000000
χ624444-4-4-4-4-4-444-4-4444-4-40000400000000000000000000000000000000000000000000000000000000
χ6344-4-44-4-4400000004i−4i−4i4i0000000000000002i2i−2i−2i−2i−2i2i2i22-2-2-2-222000000000000000000000000000000
χ6444-4-44-4-4400000004i−4i−4i4i000000000000000−2i−2i2i2i2i2i−2i−2i-2-22222-2-2000000000000000000000000000000
χ6544-4-44-4-440000000−4i4i4i−4i0000000000000002i2i−2i−2i−2i−2i2i2i-2-22222-2-2000000000000000000000000000000
χ6644-4-44-4-440000000−4i4i4i−4i000000000000000−2i−2i2i2i2i2i−2i−2i22-2-2-2-222000000000000000000000000000000
χ6744-4-4-444-400000004i−4i4i−4i-44-440000−4i4i000000000000000000000000000000000000000000000000000
χ6844-4-4-444-40000000−4i4i−4i4i-44-4400004i−4i000000000000000000000000000000000000000000000000000
χ694-44-444-4-44-44-4000000044-4-40-44000000000000000000000000000000000000000000000000000000
χ704-44-444-4-4-44-44000000044-4-404-4000000000000000000000000000000000000000000000000000000
χ714-44-4-4-4444-4-4400000000000000000000002-22-2-22-222-22-2-22-22000000000000000000000000000000
χ724-44-4-4-4444-4-440000000000000000000000-22-222-22-2-22-222-22-2000000000000000000000000000000
χ734-44-4-4-444-444-400000000000000000000002-22-2-22-22-22-222-22-2000000000000000000000000000000
χ744-44-4-4-444-444-40000000000000000000000-22-222-22-22-22-2-22-22000000000000000000000000000000
χ754-4-444-44-400004-4-400000000400000000002i2−2i2−2i22i2−2i22i22i2−2i200000000000000000000000000000000000000
χ764-4-444-44-400004-4-40000000040000000000−2i22i22i2−2i22i2−2i2−2i22i200000000000000000000000000000000000000
χ774-4-444-44-40000-44400000000-400000000000000000022−22−2222−222222−22000000000000000000000000000000
χ784-4-444-44-40000-44400000000-4000000000000000000−222222−2222−22−2222000000000000000000000000000000
χ794-4-44-44-4400004-4400004-4-44-400-400000040000000000000000000000000000000000000000000000
χ804-4-44-44-440000-44-400004-4-444004000000-40000000000000000000000000000000000000000000000

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