Finite Group Databasebeta

← Group #511881

Character table — Group #511881

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11112222222222444444444444448888888888888888888888161616161616161632323232
order1222224444444422444444448888222244444444444488888816161616161616162244
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ511111111111111-1-111-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1
χ611111111111111-1-111-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111
χ711111111111111-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111
χ811111111111111-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1
χ911111111-1-1-1-11111-1-111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-111-1-11-11-1
χ1011111111-1-1-1-11111-1-111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-111-11-11
χ1111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-111-1-111-1-111-1-1-11-11
χ1211111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111-1-1111-11-1
χ1311111111-1-1-1-111-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-11
χ1411111111-1-1-1-111-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-111-1
χ1511111111-1-1-1-111-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-111-1
χ1611111111-1-1-1-111-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-11-1-11
χ17222222222222222222222222-2-2-2-20000000000000000-2-2-2-2-2-2000000000000
χ1822222222222222-2-222-2-2-2-2-2-2-2-2-2-20000000000000000-2-22222000000000000
χ1922222222-2-2-2-22222-2-222-2-2-2-2-2-2-2-2000000000000000022-2-222000000000000
χ2022222222-2-2-2-222-2-2-2-2-2-22222-2-2-2-200000000000000002222-2-2000000000000
χ21222222-2-222-2-2-2-2222-2-2-222-2-2000000000000000000000000002−22−22−22−20000
χ22222222-2-222-2-2-2-2222-2-2-222-2-200000000000000000000000000−22−22−22−220000
χ23222222-2-222-2-2-2-2-2-22-222-2-222000000000000000000000000002−22−2−22−220000
χ24222222-2-222-2-2-2-2-2-22-222-2-22200000000000000000000000000−22−222−22−20000
χ25222222-2-2-2-222-2-222-22-2-2-2-222000000000000000000000000002−2−222−2−220000
χ26222222-2-2-2-222-2-222-22-2-2-2-22200000000000000000000000000−222−2−222−20000
χ27222222-2-2-2-222-2-2-2-2-222222-2-2000000000000000000000000002−2−22−222−20000
χ28222222-2-2-2-222-2-2-2-2-222222-2-200000000000000000000000000−222−22−2−220000
χ292222-2-2-2-222-2-22200-220000002-22-20022000000-2-222-2-22-20000000000000000
χ302222-2-2-2-222-2-22200-220000002-22-200-2-200000022-2-2222-20000000000000000
χ312222-2-2-2-222-2-22200-22000000-22-222200-2-222-2-2000000-220000000000000000
χ322222-2-2-2-222-2-22200-22000000-22-22-2-20022-2-222000000-220000000000000000
χ332222-2-2-2-2-2-22222002-20000002-22-20022000000-2-2-2-222-220000000000000000
χ342222-2-2-2-2-2-22222002-20000002-22-200-2-20000002222-2-2-220000000000000000
χ352222-2-2-2-2-2-22222002-2000000-22-222200-2-2-2-2220000002-20000000000000000
χ362222-2-2-2-2-2-22222002-2000000-22-22-2-2002222-2-20000002-20000000000000000
χ3722-2-22-22-200002-20000002i−2i2i−2i2-2-222-2002-20000002i−2i2i−2i00002i−2i000000000000
χ3822-2-22-22-200002-20000002i−2i2i−2i2-2-22-2200-22000000−2i2i−2i2i00002i−2i000000000000
χ3922-2-22-22-200002-20000002i−2i2i−2i-222-2002-2002i−2i2i−2i2-200000000−2i2i000000000000
χ4022-2-22-22-200002-20000002i−2i2i−2i-222-200-2200−2i2i−2i2i-2200000000−2i2i000000000000
χ4122-2-22-22-200002-2000000−2i2i−2i2i2-2-222-2002-2000000−2i2i−2i2i0000−2i2i000000000000
χ4222-2-22-22-200002-2000000−2i2i−2i2i2-2-22-2200-220000002i−2i2i−2i0000−2i2i000000000000
χ4322-2-22-22-200002-2000000−2i2i−2i2i-222-2002-200−2i2i−2i2i2-2000000002i−2i000000000000
χ4422-2-22-22-200002-2000000−2i2i−2i2i-222-200-22002i−2i2i−2i-22000000002i−2i000000000000
χ4522-2-2-22-2200002-22-2002-2000022-2-20000002i−2i−2i2i002i−2i−2i2i002-200000000000000
χ4622-2-2-22-2200002-22-2002-2000022-2-2000000−2i2i2i−2i00−2i2i2i−2i002-200000000000000
χ4722-2-2-22-2200002-22-2002-20000-2-2222-22-2-220000-22000000-2200000000000000
χ4822-2-2-22-2200002-22-2002-20000-2-222-22-222-200002-2000000-2200000000000000
χ4922-2-2-22-2200002-2-2200-22000022-2-20000002i−2i−2i2i00−2i2i2i−2i00-2200000000000000
χ5022-2-2-22-2200002-2-2200-22000022-2-2000000−2i2i2i−2i002i−2i−2i2i00-2200000000000000
χ5122-2-2-22-2200002-2-2200-220000-2-2222-2-22-2200002-20000002-200000000000000
χ5222-2-2-22-2200002-2-2200-220000-2-222-222-22-20000-220000002-200000000000000
χ534444-4-4444444-4-400-4-400000000000000000000000000000000000000000000
χ544444-4-444-4-4-4-4-4-4004400000000000000000000000000000000000000000000
χ5544-4-44-4-440000-440000004i−4i−4i4i00000000000000000000000000000000000000
χ5644-4-44-4-440000-44000000−4i4i4i−4i00000000000000000000000000000000000000
χ5744-4-4-444-40000-444-400-44000000000000000000000000000000000000000000
χ5844-4-4-444-40000-44-44004-4000000000000000000000000000000000000000000
χ598-88-80000008-800000000000000000000000000000000000000000000000000
χ608-88-8000000-8800000000000000000000000000000000000000000000000000
χ618-8-8800008-80000000000000000000000000000000000000000000000000000
χ628-8-880000-880000000000000000000000000000000000000000000000000000

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