Finite Group Databasebeta

← Group #311069

Character table — Group #311069

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11111111222222222222222244444444444444444444444444888888888888888888161616161616161616163232
order12222222444444448888888844444488888888888888888888444444444488888888244444888824
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111-1-1-1-1111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-1
χ6111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111
χ7111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111-1-1-1-11-1-1-1-111
χ8111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-11111-11111-1-1
χ91111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11-1-111-111-1-11-1
χ101111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-11-1-111-11
χ111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-111111-1-111-1-1-111-11
χ121111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-11111-111-1-1111-1-11-1
χ131111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111-1-1-111-1-1-11
χ141111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1111-1-1111-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-11111-1-1-1-1111-1-1-1-1-1111-1
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-11111-1-1-1-1-1-1-111111-1-1-11
χ17222222222-2-22-2-222000000002222-2-200002222-2-2-2-20000000000-2-20022-2-200000000000000000000
χ18222222222-2-22-2-222000000002222-2-20000-2-2-2-2222200000000002200-2-2-2-200000000000000000000
χ19222222222-2-22-2-22200000000-2-2-2-2-2-200002222-2-2-2-200000000002200-2-22200000000000000000000
χ20222222222-2-22-2-22200000000-2-2-2-2-2-20000-2-2-2-222220000000000-2-200222200000000000000000000
χ2122222222-222-222-2-2222222220000-2-2-2-2-2-20000000000000000220022000000000000-20000-2000000
χ2222222222-222-222-2-2222222220000-2-2-2-2-2-20000000000000000-2-200-2-2000000000000200002000000
χ2322222222-222-222-2-2-2-2-2-2-2-2-2-20000-2-2222200000000000000002200-2-2000000000000-200002000000
χ2422222222-222-222-2-2-2-2-2-2-2-2-2-20000-2-222220000000000000000-2-2002200000000000020000-2000000
χ25222-2-2-2-2202-202-2002222-2-2-2-20000000000i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i22i−2i002i−2i0000000000000000002−22−200
χ26222-2-2-2-2202-202-2002222-2-2-2-20000000000i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2−2i2i00−2i2i000000000000000000−22−2200
χ27222-2-2-2-2202-202-2002222-2-2-2-20000000000−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i22i−2i002i−2i000000000000000000−22−2200
χ28222-2-2-2-2202-202-2002222-2-2-2-20000000000−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2−2i2i00−2i2i0000000000000000002−22−200
χ29222-2-2-2-2202-202-200-2-2-2-222220000000000i2i2−i2−i2i2i2−i2−i2−i2−i2−i2−i2i2i2i2i22i−2i00−2i2i0000000000000000002−2−2200
χ30222-2-2-2-2202-202-200-2-2-2-222220000000000i2i2−i2−i2i2i2−i2−i2−i2−i2−i2−i2i2i2i2i2−2i2i002i−2i000000000000000000−222−200
χ31222-2-2-2-2202-202-200-2-2-2-222220000000000−i2−i2i2i2−i2−i2i2i2i2i2i2i2−i2−i2−i2−i22i−2i00−2i2i000000000000000000−222−200
χ32222-2-2-2-2202-202-200-2-2-2-222220000000000−i2−i2i2i2−i2−i2i2i2i2i2i2i2−i2−i2−i2−i2−2i2i002i−2i0000000000000000002−2−2200
χ3322-22-22-2-22-2-2-2222-22i2i−2i−2i2i2i−2i−2i0000-222i2i−2i−2i000000000000000000000000000000000002-22i−2i0000000
χ3422-22-22-2-22-2-2-2222-22i2i−2i−2i2i2i−2i−2i0000-222i2i−2i−2i00000000000000000000000000000000000-22−2i2i0000000
χ3522-22-22-2-22-2-2-2222-2−2i−2i2i2i−2i−2i2i2i0000-22−2i−2i2i2i000000000000000000000000000000000002-2−2i2i0000000
χ3622-22-22-2-22-2-2-2222-2−2i−2i2i2i−2i−2i2i2i0000-22−2i−2i2i2i00000000000000000000000000000000000-222i−2i0000000
χ3722-22-22-2-2-2222-2-2-22000000002i2i−2i−2i-2200000000000022-2-222-2-2000000002i−2i00002i2i−2i−2i000000000000
χ3822-22-22-2-2-2222-2-2-22000000002i2i−2i−2i-22000000000000-2-222-2-222000000002i−2i0000−2i−2i2i2i000000000000
χ3922-22-22-2-2-2222-2-2-2200000000−2i−2i2i2i-2200000000000022-2-222-2-200000000−2i2i0000−2i−2i2i2i000000000000
χ4022-22-22-2-2-2222-2-2-2200000000−2i−2i2i2i-22000000000000-2-222-2-22200000000−2i2i00002i2i−2i−2i000000000000
χ4122-22-22-2-2-2-2-2222-222i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2-2−2i−2i2i2i000000000000000000000000−2i2i22-2-20000000000000000
χ4222-22-22-2-2-2-2-2222-222i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2-2−2i−2i2i2i0000000000000000000000002i−2i-2-2220000000000000000
χ4322-22-22-2-2-2-2-2222-22−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2-22i2i−2i−2i000000000000000000000000−2i2i-2-2220000000000000000
χ4422-22-22-2-2-2-2-2222-22−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i2-22i2i−2i−2i0000000000000000000000002i−2i22-2-20000000000000000
χ452-222-2-22-2-2002002-2i2−i2i2−i2i2−i2i2−i22-22-200i2−i2i2−i22-22-20000i2−i2i2−i2i2−i2i2−i20000002-200i2−i2i2−i2i2−i2i2−i2000000000000
χ462-222-2-22-2-2002002-2i2−i2i2−i2i2−i2i2−i22-22-200i2−i2i2−i2-22-220000−i2i2−i2i2−i2i2−i2i2000000-2200i2−i2i2−i2−i2i2−i2i2000000000000
χ472-222-2-22-2-2002002-2i2−i2i2−i2i2−i2i2−i2-22-2200i2−i2i2−i22-22-20000i2−i2i2−i2i2−i2i2−i2000000-2200−i2i2−i2i2−i2i2−i2i2000000000000
χ482-222-2-22-2-2002002-2i2−i2i2−i2i2−i2i2−i2-22-2200i2−i2i2−i2-22-220000−i2i2−i2i2−i2i2−i2i20000002-200−i2i2−i2i2i2−i2i2−i2000000000000
χ492-222-2-22-2-2002002-2−i2i2−i2i2−i2i2−i2i22-22-200−i2i2−i2i22-22-20000−i2i2−i2i2−i2i2−i2i20000002-200−i2i2−i2i2−i2i2−i2i2000000000000
χ502-222-2-22-2-2002002-2−i2i2−i2i2−i2i2−i2i22-22-200−i2i2−i2i2-22-220000i2−i2i2−i2i2−i2i2−i2000000-2200−i2i2−i2i2i2−i2i2−i2000000000000
χ512-222-2-22-2-2002002-2−i2i2−i2i2−i2i2−i2i2-22-2200−i2i2−i2i22-22-20000−i2i2−i2i2−i2i2−i2i2000000-2200i2−i2i2−i2i2−i2i2−i2000000000000
χ522-222-2-22-2-2002002-2−i2i2−i2i2−i2i2−i2i2-22-2200−i2i2−i2i2-22-220000i2−i2i2−i2i2−i2i2−i20000002-200i2−i2i2−i2−i2i2−i2i2000000000000
χ532-2-222-2-22200200-2-22−2−222−2−222i−2i−2i2i00−222−200002i−2i2i−2ii2−i2−i2i2i2−i2−i2i2002-2000000−i2i2i2−i2−222−2000000000000
χ542-2-222-2-22200200-2-22−2−222−2−222i−2i−2i2i00−222−20000−2i2i−2i2i−i2i2i2−i2−i2i2i2−i200-22000000−i2i2i2−i22−2−22000000000000
χ552-2-222-2-22200200-2-22−2−222−2−22−2i2i2i−2i00−222−200002i−2i2i−2ii2−i2−i2i2i2−i2−i2i200-22000000i2−i2−i2i22−2−22000000000000
χ562-2-222-2-22200200-2-22−2−222−2−22−2i2i2i−2i00−222−20000−2i2i−2i2i−i2i2i2−i2−i2i2i2−i2002-2000000i2−i2−i2i2−222−2000000000000
χ572-2-222-2-22200200-2-2−222−2−222−22i−2i−2i2i002−2−2200002i−2i2i−2i−i2i2i2−i2−i2i2i2−i2002-2000000i2−i2−i2i22−2−22000000000000
χ582-2-222-2-22200200-2-2−222−2−222−22i−2i−2i2i002−2−220000−2i2i−2i2ii2−i2−i2i2i2−i2−i2i200-22000000i2−i2−i2i2−222−2000000000000
χ592-2-222-2-22200200-2-2−222−2−222−2−2i2i2i−2i002−2−2200002i−2i2i−2i−i2i2i2−i2−i2i2i2−i200-22000000−i2i2i2−i2−222−2000000000000
χ602-2-222-2-22200200-2-2−222−2−222−2−2i2i2i−2i002−2−220000−2i2i−2i2ii2−i2−i2i2i2−i2−i2i2002-2000000−i2i2i2−i22−2−22000000000000
χ6144444444-4-4-4-4-4-4-4-40000000000004400000000000000000000000000000000000000000000000000
χ62444-4-4-4-440-440-44000000000000000000002i22i2−2i2−2i2−2i2−2i22i22i200000000000000000000000000000000000000
χ63444-4-4-4-440-440-4400000000000000000000−2i2−2i22i22i22i22i2−2i2−2i200000000000000000000000000000000000000
χ6444-44-44-4-4444-4-4-44-40000000000004-400000000000000000000000000000000000000000000000000
χ6544-4-44-44-404-40-4400000000000000000000000000002i22i2−2i2−2i2−2i2−2i22i22i2000000000000000000000000000000
χ6644-4-44-44-404-40-440000000000000000000000000000−2i2−2i22i22i22i22i2−2i2−2i2000000000000000000000000000000
χ6744-4-44-44-40-4404-4004i4i−4i−4i−4i−4i4i4i00000000000000000000000000000000000000000000000000000000
χ6844-4-44-44-40-4404-400−4i−4i4i4i4i4i−4i−4i00000000000000000000000000000000000000000000000000000000
χ694-444-4-44-4400-400-442i2−2i22i2−2i22i2−2i22i2−2i2000000−2i22i2−2i22i20000000000000000000000000000000000000000000000
χ704-444-4-44-4400-400-44−2i22i2−2i22i2−2i22i2−2i22i20000002i2−2i22i2−2i20000000000000000000000000000000000000000000000
χ714-44-444-4-4000000002i2−2i22i2−2i2−2i22i2−2i22i200000000002i2−2i2−2i22i20000-22-222-22-2000000000000000000000000000000
χ724-44-444-4-4000000002i2−2i22i2−2i2−2i22i2−2i22i20000000000−2i22i22i2−2i200002-22-2-22-22000000000000000000000000000000
χ734-44-444-4-400000000−2i22i2−2i22i22i2−2i22i2−2i200000000002i2−2i2−2i22i200002-22-2-22-22000000000000000000000000000000
χ744-44-444-4-400000000−2i22i2−2i22i22i2−2i22i2−2i20000000000−2i22i22i2−2i20000-22-222-22-2000000000000000000000000000000
χ754-4-444-4-44-400-4004422−22−222222−22−222200000022−22−22220000000000000000000000000000000000000000000000
χ764-4-444-4-44-400-40044−222222−22−222222−22000000−222222−220000000000000000000000000000000000000000000000
χ774-4-4-4-44440000000022−22−2222−222222−220000000000000022−22−22222-2-22-222-2000000000000000000000000000000
χ784-4-4-4-44440000000022−22−2222−222222−2200000000000000−222222−22-222-22-2-22000000000000000000000000000000
χ794-4-4-4-444400000000−222222−2222−22−22220000000000000022−22−2222-222-22-2-22000000000000000000000000000000
χ804-4-4-4-444400000000−222222−2222−22−222200000000000000−222222−222-2-22-222-2000000000000000000000000000000

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