Finite Group Databasebeta

← Group #295489

Character table — Group #295489

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
χ51111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ61111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1
χ9111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11-111-1-111-1-11-1
χ10111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-11-1-111-1-111-11
χ11111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-111111-111-1-1-1-111-11
χ12111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-11111-11-1-11111-1-11-1
χ13111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111-1-1-11111-1-1-11
χ14111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1111-1-1-1-1111-1
χ15111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1111111-1-11111-1-1-1-11-1-1-111-1-1111-1
χ16111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1111111-1-1-1-1-1111-1-111-1-1-11
χ172222222222-2-22222222222-2-2-2-2-2-20000-2-20000000000000000000000222200000000-2-20000000000
χ182222222222-2-22222222222-2-2-2-2-2-20000-2-20000000000000000000000-2-2-2-200000000220000000000
χ192222222222-2-2-2-2-2-2-2-2-2-222-2-222220000-2-2000000000000000000000022-2-200000000-220000000000
χ202222222222-2-2-2-2-2-2-2-2-2-222-2-222220000-2-20000000000000000000000-2-222000000002-20000000000
χ2122222222-2-2222222-2-2-2-2-2-22222-2-22222-2-20000000000000000-2-222-2-2000000000000000000000000
χ2222222222-2-2222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-2000000000000000022-2-222000000000000000000000000
χ2322222222-2-222-2-2-2-22222-2-222-2-2222222-2-20000000000000000-2-2-2-222000000000000000000000000
χ2422222222-2-222-2-2-2-22222-2-222-2-222-2-2-2-2-2-200000000000000002222-2-2000000000000000000000000
χ2522222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2220000220000000000000000000000000000000000002-22-2000000
χ2622222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-222000022000000000000000000000000000000000000-22-22000000
χ2722222222-2-2-2-2-2-2-2-22222-2-2-2-222-2-20000220000000000000000000000000000000000002-2-22000000
χ2822222222-2-2-2-2-2-2-2-22222-2-2-2-222-2-2000022000000000000000000000000000000000000-222-2000000
χ2922-2-222-2-22-2-2-2000000002-22200002i2i−2i−2i2-2000000002i2i2i2i−2i−2i−2i−2i2i−2i00000000000022-2-2000000000000
χ3022-2-222-2-22-2-2-2000000002-22200002i2i−2i−2i2-200000000−2i−2i−2i−2i2i2i2i2i2i−2i000000000000-2-222000000000000
χ3122-2-222-2-22-2-2-2000000002-2220000−2i−2i2i2i2-2000000002i2i2i2i−2i−2i−2i−2i−2i2i000000000000-2-222000000000000
χ3222-2-222-2-22-2-2-2000000002-2220000−2i−2i2i2i2-200000000−2i−2i−2i−2i2i2i2i2i−2i2i00000000000022-2-2000000000000
χ3322-2-222-2-2-22-2-200000000-222200002i2i−2i−2i-222i2i2i2i−2i−2i−2i−2i00000000−2i2i0000000022-2-20000000000000000
χ3422-2-222-2-2-22-2-200000000-222200002i2i−2i−2i-22−2i−2i−2i−2i2i2i2i2i00000000−2i2i00000000-2-2220000000000000000
χ3522-2-222-2-2-22-2-200000000-22220000−2i−2i2i2i-222i2i2i2i−2i−2i−2i−2i000000002i−2i00000000-2-2220000000000000000
χ3622-2-222-2-2-22-2-200000000-22220000−2i−2i2i2i-22−2i−2i−2i−2i2i2i2i2i000000002i−2i0000000022-2-20000000000000000
χ3722-2-2-2-222-2-20022-2-222-2-222000000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000002-22-200000000000000i2−i2i2−i200
χ3822-2-2-2-222-2-20022-2-222-2-222000000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000-22-2200000000000000−i2i2−i2i200
χ3922-2-2-2-222-2-20022-2-222-2-222000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000002-22-200000000000000−i2i2−i2i200
χ4022-2-2-2-222-2-20022-2-222-2-222000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000-22-2200000000000000i2−i2i2−i200
χ4122-2-2-2-222-2-200-2-222-2-22222000000000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000002-2-2200000000000000i2−i2−i2i200
χ4222-2-2-2-222-2-200-2-222-2-22222000000000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2000000-222-200000000000000−i2i2i2−i200
χ4322-2-2-2-222-2-200-2-222-2-22222000000000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i20000002-2-2200000000000000−i2i2i2−i200
χ4422-2-2-2-222-2-200-2-222-2-22222000000000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2000000-222-200000000000000i2−i2−i2i200
χ452-22-22-22-2002-200002i−2i2i−2i002-2002i−2i2-22-200i2−i2i2−i2i2−i2i2−i22−22−22−22−200002i−2i0000i2−i2i2−i22−22−2000000000000
χ462-22-22-22-2002-200002i−2i2i−2i002-2002i−2i2-22-200−i2i2−i2i2−i2i2−i2i2−22−22−22−2200002i−2i0000−i2i2−i2i2−22−22000000000000
χ472-22-22-22-2002-200002i−2i2i−2i002-2002i−2i-22-2200i2−i2i2−i2i2−i2i2−i22−22−22−22−20000−2i2i0000−i2i2−i2i2−22−22000000000000
χ482-22-22-22-2002-200002i−2i2i−2i002-2002i−2i-22-2200−i2i2−i2i2−i2i2−i2i2−22−22−22−220000−2i2i0000i2−i2i2−i22−22−2000000000000
χ492-22-22-22-2002-20000−2i2i−2i2i002-200−2i2i2-22-200i2−i2i2−i2i2−i2i2−i2−22−22−22−220000−2i2i0000i2−i2i2−i2−22−22000000000000
χ502-22-22-22-2002-20000−2i2i−2i2i002-200−2i2i2-22-200−i2i2−i2i2−i2i2−i2i22−22−22−22−20000−2i2i0000−i2i2−i2i22−22−2000000000000
χ512-22-22-22-2002-20000−2i2i−2i2i002-200−2i2i-22-2200i2−i2i2−i2i2−i2i2−i2−22−22−22−2200002i−2i0000−i2i2−i2i22−22−2000000000000
χ522-22-22-22-2002-20000−2i2i−2i2i002-200−2i2i-22-2200−i2i2−i2i2−i2i2−i2i22−22−22−22−200002i−2i0000i2−i2i2−i2−22−22000000000000
χ532-2-222-2-2200-222i−2i2i−2i0000002-22i−2i002i−2i−2i2i002−22−2−22−22i2−i2i2−i2−i2i2−i2i2002-2000000−i2i2i2−i22−2−22000000000000
χ542-2-222-2-2200-222i−2i2i−2i0000002-22i−2i002i−2i−2i2i00−22−222−22−2−i2i2−i2i2i2−i2i2−i2002-2000000i2−i2−i2i2−222−2000000000000
χ552-2-222-2-2200-222i−2i2i−2i0000002-22i−2i00−2i2i2i−2i002−22−2−22−22i2−i2i2−i2−i2i2−i2i200-22000000i2−i2−i2i2−222−2000000000000
χ562-2-222-2-2200-222i−2i2i−2i0000002-22i−2i00−2i2i2i−2i00−22−222−22−2−i2i2−i2i2i2−i2i2−i200-22000000−i2i2i2−i22−2−22000000000000
χ572-2-222-2-2200-22−2i2i−2i2i0000002-2−2i2i002i−2i−2i2i002−22−2−22−22−i2i2−i2i2i2−i2i2−i200-22000000−i2i2i2−i2−222−2000000000000
χ582-2-222-2-2200-22−2i2i−2i2i0000002-2−2i2i002i−2i−2i2i00−22−222−22−2i2−i2i2−i2−i2i2−i2i200-22000000i2−i2−i2i22−2−22000000000000
χ592-2-222-2-2200-22−2i2i−2i2i0000002-2−2i2i00−2i2i2i−2i002−22−2−22−22−i2i2−i2i2i2−i2i2−i2002-2000000i2−i2−i2i22−2−22000000000000
χ602-2-222-2-2200-22−2i2i−2i2i0000002-2−2i2i00−2i2i2i−2i00−22−222−22−2i2−i2i2−i2−i2i2−i2i2002-2000000−i2i2i2−i2−222−2000000000000
χ614444-4-4-4-44-40000000000-440000000000002222−22−22−22−22222200000000000000000000000000000000000000
χ624444-4-4-4-44-40000000000-44000000000000−22−2222222222−22−2200000000000000000000000000000000000000
χ634444-4-4-4-4-4400000000004-4000000000000000000002222−22−22−22−222222000000000000000000000000000000
χ644444-4-4-4-4-4400000000004-400000000000000000000−22−2222222222−22−22000000000000000000000000000000
χ6544-4-444-4-44-444000000004-4-4-400000000-440000000000000000000000000000000000000000000000
χ6644-4-444-4-4-444400000000-44-4-4000000004-40000000000000000000000000000000000000000000000
χ6744-4-4-4-444440044-4-4-4-444-4-40000000000000000000000000000000000000000000000000000000000
χ6844-4-4-4-4444400-4-44444-4-4-4-40000000000000000000000000000000000000000000000000000000000
χ694-44-44-44-400-4400004i−4i4i−4i00-4400−4i4i0000000000000000000000000000000000000000000000000000
χ704-44-44-44-400-440000−4i4i−4i4i00-44004i−4i0000000000000000000000000000000000000000000000000000
χ714-44-4-44-4400004i−4i−4i4i0000000000000000002i−2i−2i2i−2i2i2i−2i-222-22-2-22000000000000000000000000000000
χ724-44-4-44-4400004i−4i−4i4i000000000000000000−2i2i2i−2i2i−2i−2i2i2-2-22-222-2000000000000000000000000000000
χ734-44-4-44-440000−4i4i4i−4i0000000000000000002i−2i−2i2i−2i2i2i−2i2-2-22-222-2000000000000000000000000000000
χ744-44-4-44-440000−4i4i4i−4i000000000000000000−2i2i2i−2i2i−2i−2i2i-222-22-2-22000000000000000000000000000000
χ754-4-444-4-44004-44i−4i4i−4i000000-44−4i4i000000000000000000000000000000000000000000000000000000
χ764-4-444-4-44004-4−4i4i−4i4i000000-444i−4i000000000000000000000000000000000000000000000000000000
χ774-4-44-444-4000000004i−4i−4i4i000000000000002-2-222-2-22−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000
χ784-4-44-444-4000000004i−4i−4i4i00000000000000-222-2-222-22i−2i−2i2i2i−2i−2i2i000000000000000000000000000000
χ794-4-44-444-400000000−4i4i4i−4i000000000000002-2-222-2-222i−2i−2i2i2i−2i−2i2i000000000000000000000000000000
χ804-4-44-444-400000000−4i4i4i−4i00000000000000-222-2-222-2−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000

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