Finite Group Databasebeta

← Group #270981

Character table — Group #270981

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11111111222222222222222244444444444444444444444444888888888888888888161616161616161616163232
order12222222222244444444444444444444448888888888888888222244444488888888224444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
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
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111-1-1-1-111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1
χ611111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111
χ711111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-111-1-1-1-1-1-111
χ811111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111111-1-1
χ911111111-1-1-1-111111-1-1-1-11111-1-1-1-11111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-11-11111-1-11-1
χ1011111111-1-1-1-111111-1-1-1-11111-1-1-1-11111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111-11-1-1-1-111-11
χ1111111111-1-1-1-111111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-11111-1-11-111-1-111-11
χ1211111111-1-1-1-111111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1111111-11-1-111-1-11-1
χ1311111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111-1-1-111-1-1-11
χ1411111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1111-1-1111-1
χ1511111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1111111-1-11111-1-1-1-1111-1-1-1-1-1111-1
χ1611111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-111-1-111111111-1-1-1-1-1-1-111111-1-1-11
χ1722222222222222-2-2-2-2-2-2-222-2-2-2-2222222-20000000000000000-2-2-2-200220000000000000000000000
χ1822222222222222-2-2-2-2-2-2-222-2-2-2-222-2-2-2-2-20000000000000000222200-2-20000000000000000000000
χ19222222222222-2-22222222-2-22-2-2-2-2-20000-2000000000000000000002200220000000000-2-200000000
χ20222222222222-2-22222222-2-22-2-2-2-2-20000-200000000000000000000-2-200-2-200000000002200000000
χ21222222222222-2-2-2-2-2-2-2-2-2-2-2-2222-2-20000200000000000000000000000000000000002-2002-2000000
χ22222222222222-2-2-2-2-2-2-2-2-2-2-2-2222-2-2000020000000000000000000000000000000000-2200-22000000
χ2322222222-2-2-2-222-2-2-2222222-2-222-2-22222-20000000000000000-2-22200-2-20000000000000000000000
χ2422222222-2-2-2-222-2-2-2222222-2-222-2-2-2-2-2-2-2000000000000000022-2-200220000000000000000000000
χ2522222222-2-2-2-2-2-2222-2-2-2-2-2-22-222220000-2000000000000000000002200-2-20000000000-2200000000
χ2622222222-2-2-2-2-2-2222-2-2-2-2-2-22-222220000-200000000000000000000-2-2002200000000002-200000000
χ2722222222-2-2-2-2-2-2-2-2-22222-2-2-22-2-2220000200000000000000000000000000000000002-200-22000000
χ2822222222-2-2-2-2-2-2-2-2-22222-2-2-22-2-222000020000000000000000000000000000000000-22002-2000000
χ29222-2-2-22-200002-20002i2i−2i−2i2-2002i−2i002i2i−2i−2i02222−2−2−2−2i2i2i2i2−i2−i2−i2−i2002-2000000i2i2−i2−i222−2−2000000000000
χ30222-2-2-22-200002-20002i2i−2i−2i2-2002i−2i002i2i−2i−2i0−2−2−2−22222−i2−i2−i2−i2i2i2i2i2002-2000000−i2−i2i2i2−2−222000000000000
χ31222-2-2-22-200002-20002i2i−2i−2i2-2002i−2i00−2i−2i2i2i02222−2−2−2−2i2i2i2i2−i2−i2−i2−i200-22000000−i2−i2i2i2−2−222000000000000
χ32222-2-2-22-200002-20002i2i−2i−2i2-2002i−2i00−2i−2i2i2i0−2−2−2−22222−i2−i2−i2−i2i2i2i2i200-22000000i2i2−i2−i222−2−2000000000000
χ33222-2-2-22-200002-2000−2i−2i2i2i2-200−2i2i002i2i−2i−2i02222−2−2−2−2−i2−i2−i2−i2i2i2i2i200-22000000i2i2−i2−i2−2−222000000000000
χ34222-2-2-22-200002-2000−2i−2i2i2i2-200−2i2i002i2i−2i−2i0−2−2−2−22222i2i2i2i2−i2−i2−i2−i200-22000000−i2−i2i2i222−2−2000000000000
χ35222-2-2-22-200002-2000−2i−2i2i2i2-200−2i2i00−2i−2i2i2i02222−2−2−2−2−i2−i2−i2−i2i2i2i2i2002-2000000−i2−i2i2i222−2−2000000000000
χ36222-2-2-22-200002-2000−2i−2i2i2i2-200−2i2i00−2i−2i2i2i0−2−2−2−22222i2i2i2i2−i2−i2−i2−i2002-2000000i2i2−i2−i2−2−222000000000000
χ3722-22-2-2-2222-2-20022-22-22-200-20000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200002-2002-200000000000000i2−i2i2−i200
χ3822-22-2-2-2222-2-20022-22-22-200-20000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000-2200-2200000000000000−i2i2−i2i200
χ3922-22-2-2-2222-2-20022-22-22-200-20000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200002-2002-200000000000000−i2i2−i2i200
χ4022-22-2-2-2222-2-20022-22-22-200-20000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000-2200-2200000000000000i2−i2i2−i200
χ4122-22-2-2-22-2-2220022-2-22-2200-20000000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200002-200-2200000000000000i2−i2−i2i200
χ4222-22-2-2-22-2-2220022-2-22-2200-20000000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000-22002-200000000000000−i2i2i2−i200
χ4322-22-2-2-22-2-2220022-2-22-2200-20000000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200002-200-2200000000000000−i2i2i2−i200
χ4422-22-2-2-22-2-2220022-2-22-2200-20000000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i20000-22002-200000000000000i2−i2−i2i200
χ452-2-222-22-22-22-2220000000-2-200002-22i−2i2i−2i02−22−22−22−22−22−22−22−20000002i−2i00i2−i2i2−i2i2−i2i2−i2000000000000
χ462-2-222-22-22-22-2220000000-2-200002-22i−2i2i−2i0−22−22−22−22−22−22−22−220000002i−2i00−i2i2−i2i2−i2i2−i2i2000000000000
χ472-2-222-22-22-22-2220000000-2-200002-2−2i2i−2i2i02−22−22−22−22−22−22−22−2000000−2i2i00−i2i2−i2i2−i2i2−i2i2000000000000
χ482-2-222-22-22-22-2220000000-2-200002-2−2i2i−2i2i0−22−22−22−22−22−22−22−22000000−2i2i00i2−i2i2−i2i2−i2i2−i2000000000000
χ492-2-222-22-2-22-22220000000-2-20000-222i−2i2i−2i02−22−22−22−2−22−22−22−22000000−2i2i00i2−i2i2−i2−i2i2−i2i2000000000000
χ502-2-222-22-2-22-22220000000-2-20000-222i−2i2i−2i0−22−22−22−222−22−22−22−2000000−2i2i00−i2i2−i2i2i2−i2i2−i2000000000000
χ512-2-222-22-2-22-22220000000-2-20000-22−2i2i−2i2i02−22−22−22−2−22−22−22−220000002i−2i00−i2i2−i2i2i2−i2i2−i2000000000000
χ522-2-222-22-2-22-22220000000-2-20000-22−2i2i−2i2i0−22−22−22−222−22−22−22−20000002i−2i00i2−i2i2−i2−i2i2−i2i2000000000000
χ532-2-2-2-222200002-22-220000-22-2200002-2-22-2000000002i−2i2i−2i−2i2i−2i2i2-2000000000000−2i2i2i−2i000000000000
χ542-2-2-2-222200002-22-220000-22-2200002-2-22-200000000−2i2i−2i2i2i−2i2i−2i2-20000000000002i−2i−2i2i000000000000
χ552-2-2-2-222200002-22-220000-22-220000-222-2-2000000002i−2i2i−2i−2i2i−2i2i-220000000000002i−2i−2i2i000000000000
χ562-2-2-2-222200002-22-220000-22-220000-222-2-200000000−2i2i−2i2i2i−2i2i−2i-22000000000000−2i2i2i−2i000000000000
χ572-2-2-2-222200002-2-22-20000-222-200002-2-2222-22-2-22-2200000000-22000000002-2-220000000000000000
χ582-2-2-2-222200002-2-22-20000-222-200002-2-222-22-222-22-200000000-2200000000-222-20000000000000000
χ592-2-2-2-222200002-2-22-20000-222-20000-222-222-22-2-22-22000000002-200000000-222-20000000000000000
χ602-2-2-2-222200002-2-22-20000-222-20000-222-22-22-222-22-2000000002-2000000002-2-220000000000000000
χ61444-4-4-44-40000-440004i4i−4i−4i-4400−4i4i00000000000000000000000000000000000000000000000000000
χ62444-4-4-44-40000-44000−4i−4i4i4i-44004i−4i00000000000000000000000000000000000000000000000000000
χ6344-44-4-4-4444-4-400-4-44-44-4400400000000000000000000000000000000000000000000000000000000
χ6444-44-4-4-44-4-44400-4-444-44-400400000000000000000000000000000000000000000000000000000000
χ6544-4-444-4-40000000004i−4i−4i4i00000000000002i2i−2i−2i−2i−2i2i2i-2-22222-2-2000000000000000000000000000000
χ6644-4-444-4-40000000004i−4i−4i4i0000000000000−2i−2i2i2i2i2i−2i−2i22-2-2-2-222000000000000000000000000000000
χ6744-4-444-4-4000000000−4i4i4i−4i00000000000002i2i−2i−2i−2i−2i2i2i22-2-2-2-222000000000000000000000000000000
χ6844-4-444-4-4000000000−4i4i4i−4i0000000000000−2i−2i2i2i2i2i−2i−2i-2-22222-2-2000000000000000000000000000000
χ694-444-44-4-44-4-4400000000000000000000002i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i000000000000000000000000000000
χ704-444-44-4-44-4-440000000000000000000000−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000
χ714-444-44-4-4-444-400000000000000000000002i−2i−2i2i2i−2i−2i2i−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000
χ724-444-44-4-4-444-40000000000000000000000−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i000000000000000000000000000000
χ734-44-44-4-440000004-4-4000000400000000000000000022−22−2222−222222−22000000000000000000000000000000
χ744-44-44-4-440000004-4-40000004000000000000000000−222222−2222−22−2222000000000000000000000000000000
χ754-44-44-4-44000000-444000000-400000000002i2−2i2−2i22i2−2i22i22i2−2i200000000000000000000000000000000000000
χ764-44-44-4-44000000-444000000-40000000000−2i22i22i2−2i22i2−2i2−2i22i200000000000000000000000000000000000000
χ774-4-444-44-44-44-4-4-40000000440000-44000000000000000000000000000000000000000000000000000
χ784-4-444-44-4-44-44-4-400000004400004-4000000000000000000000000000000000000000000000000000
χ794-4-4-4-44440000-444-4400004-4-4-40000000040000000000000000000000000000000000000000000000
χ804-4-4-4-44440000-44-44-400004-44400000000-40000000000000000000000000000000000000000000000

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