Finite Group Databasebeta

← Group #263229

Character table — Group #263229

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11112222222222444444444444448888888888888888888888161616161616161632323232
order12222244444444222244888888884444444444888888888888224444448888
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1
χ911111111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-11-111-1-11-11-1
χ1011111111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-1-111-11-11
χ1111111111111111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-1-11-11
χ1211111111111111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1111-11-1
χ1311111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-11-1-1-1111-1-11
χ1411111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-1111-1-1-111-1
χ1511111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111-11-1-1-111-111-1
χ1611111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-11-1111-1-11-1-11
χ17222222222-2-2-2-2222-2-2-2-22222-2-2-2-22-200000000000022-2-20000000000000000
χ18222222222-2-2-2-2222-2-2-2-2-2-2-2-222222-2000000000000-2-2220000000000000000
χ19222222222-2-2-2-22-2-222-2-22222-2-2-2-2-22000000000000-2-2220000000000000000
χ20222222222-2-2-2-22-2-222-2-2-2-2-2-22222-2200000000000022-2-20000000000000000
χ21222222-2-2-22222-22222-2-200000000-2-222-2-222-2-2000000000000000000000000
χ22222222-2-2-22222-22222-2-200000000-2-2-2-222-2-222000000000000000000000000
χ23222222-2-2-22222-2-2-2-2-2-2-2000000002222-2-2-2-222000000000000000000000000
χ24222222-2-2-22222-2-2-2-2-2-2-20000000022-2-22222-2-2000000000000000000000000
χ25222222-2-2-2-2-2-2-2-222-2-22200000000-22000000002i2i−2i−2i00002i2i−2i−2i000000000000
χ26222222-2-2-2-2-2-2-2-222-2-22200000000-2200000000−2i−2i2i2i0000−2i−2i2i2i000000000000
χ27222222-2-2-2-2-2-2-2-2-2-22222000000002-2000000002i2i−2i−2i0000−2i−2i2i2i000000000000
χ28222222-2-2-2-2-2-2-2-2-2-22222000000002-200000000−2i−2i2i2i00002i2i−2i−2i000000000000
χ292222-2-22-2-222-2-2200002-222-2-222-2-20000000000000000000000020-2002-20000
χ302222-2-22-2-222-2-2200002-222-2-222-2-200000000000000000000000-20200-220000
χ312222-2-22-2-222-2-2200002-2-2-222-2-2220000000000000000000000020-200-220000
χ322222-2-22-2-222-2-2200002-2-2-222-2-22200000000000000000000000-202002-20000
χ332222-2-22-2-2-2-22220000-2222-2-2-2-222000000000000000000000020-202-2000000
χ342222-2-22-2-2-2-22220000-2222-2-2-2-2220000000000000000000000-2020-22000000
χ352222-2-22-2-2-2-22220000-22-2-22222-2-2000000000000000000000020-20-22000000
χ362222-2-22-2-2-2-22220000-22-2-22222-2-20000000000000000000000-20202-2000000
χ3722-2-22-20002-22-202-22-200i2−i2i2−i2i2−i2i2−i200002i−2i002i−2i2−22−2i2−i2i2−i22−22−2000000000000
χ3822-2-22-20002-22-202-22-200i2−i2i2−i2i2−i2i2−i20000−2i2i00−2i2i−22−22i2−i2i2−i2−22−22000000000000
χ3922-2-22-20002-22-202-22-200−i2i2−i2i2−i2i2−i2i200002i−2i002i−2i−22−22−i2i2−i2i2−22−22000000000000
χ4022-2-22-20002-22-202-22-200−i2i2−i2i2−i2i2−i2i20000−2i2i00−2i2i2−22−2−i2i2−i2i22−22−2000000000000
χ4122-2-22-20002-22-20-22-2200i2−i2i2−i2i2−i2i2−i200002i−2i00−2i2i−22−22−i2i2−i2i22−22−2000000000000
χ4222-2-22-20002-22-20-22-2200i2−i2i2−i2i2−i2i2−i20000−2i2i002i−2i2−22−2−i2i2−i2i2−22−22000000000000
χ4322-2-22-20002-22-20-22-2200−i2i2−i2i2−i2i2−i2i200002i−2i00−2i2i2−22−2i2−i2i2−i2−22−22000000000000
χ4422-2-22-20002-22-20-22-2200−i2i2−i2i2−i2i2−i2i20000−2i2i002i−2i−22−22i2−i2i2−i22−22−2000000000000
χ4522-2-22-2000-22-2202-2-2200i2−i2i2−i2−i2i2−i2i2002-2002-200i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2000000000000
χ4622-2-22-2000-22-2202-2-2200i2−i2i2−i2−i2i2−i2i200-2200-2200−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2000000000000
χ4722-2-22-2000-22-2202-2-2200−i2i2−i2i2i2−i2i2−i2002-2002-200−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2000000000000
χ4822-2-22-2000-22-2202-2-2200−i2i2−i2i2i2−i2i2−i200-2200-2200i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2000000000000
χ4922-2-22-2000-22-220-222-200i2−i2i2−i2−i2i2−i2i2002-200-2200−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2000000000000
χ5022-2-22-2000-22-220-222-200i2−i2i2−i2−i2i2−i2i200-22002-200i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2000000000000
χ5122-2-22-2000-22-220-222-200−i2i2−i2i2i2−i2i2−i2002-200-2200i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2000000000000
χ5222-2-22-2000-22-220-222-200−i2i2−i2i2i2−i2i2−i200-22002-200−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2000000000000
χ534444-4-4-44444-4-4-40000-44000000000000000000000000000000000000000000
χ544444-4-4-444-4-444-400004-4000000000000000000000000000000000000000000
χ5544-4-4-440004-4-4400000002i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000000000000000
χ5644-4-4-440004-4-440000000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000000000000000
χ5744-4-4-44000-444-400000002i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000000000000000
χ5844-4-4-44000-444-40000000−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000000000000000
χ598-88-80008i−8i00000000000000000000000000000000000000000000000000000
χ608-88-8000−8i8i00000000000000000000000000000000000000000000000000000
χ618-8-88008000000-8000000000000000000000000000000000000000000000000
χ628-8-8800-80000008000000000000000000000000000000000000000000000000

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