Finite Group Databasebeta

← Group #449090

Character table — Group #449090

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11222222222222222888888888888888888888888161616161616161616161616161616161616
order12222222222222222224444444444444444444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1
χ31111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-111-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111
χ5111111111111111111111-1-1-1-11111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-111
χ6111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1
χ7111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ8111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111
χ911111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111
χ1011111111111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-1
χ1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-11111-1-1-1-1
χ1211111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1111111
χ1311111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111
χ1411111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111111-1-111-1-1-1-1
χ1511111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-111-1-1
χ1611111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-111-1-1-1-111
χ1722222-2222-2-2-2-2-2-2-22000000002i2i−2i−2i00002i2i−2i−2i000000000000000000002-2
χ1822222-2222-2-2-2-2-2-2-22000000002i2i−2i−2i0000−2i−2i2i2i00000000000000000000-22
χ1922222-2222-2-2-2-2-2-2-2200000000−2i−2i2i2i00002i2i−2i−2i00000000000000000000-22
χ2022222-2222-2-2-2-2-2-2-2200000000−2i−2i2i2i0000−2i−2i2i2i000000000000000000002-2
χ212222-22-2-2-2222-2-2-2-2200002i2i−2i−2i0000000000002i2i−2i−2i000000000000002-200
χ222222-22-2-2-2222-2-2-2-2200002i2i−2i−2i000000000000−2i−2i2i2i00000000000000-2200
χ232222-22-2-2-2222-2-2-2-220000−2i−2i2i2i0000000000002i2i−2i−2i00000000000000-2200
χ242222-22-2-2-2222-2-2-2-220000−2i−2i2i2i000000000000−2i−2i2i2i000000000000002-200
χ25222-22-22-2-222-22-2-22-20000000000002i2i−2i−2i00002-22-200000000002i−2i000000
χ26222-22-22-2-222-22-2-22-20000000000002i2i−2i−2i0000-22-220000000000−2i2i000000
χ27222-22-22-2-222-22-2-22-2000000000000−2i−2i2i2i00002-22-20000000000−2i2i000000
χ28222-22-22-2-222-22-2-22-2000000000000−2i−2i2i2i0000-22-2200000000002i−2i000000
χ29222-2-22-222-2-222-2-22-22-22-200002i−2i2i−2i000000000000002i−2i00000000000000
χ30222-2-22-222-2-222-2-22-22-22-20000−2i2i−2i2i00000000000000−2i2i00000000000000
χ31222-2-22-222-2-222-2-22-2-22-2200002i−2i2i−2i00000000000000−2i2i00000000000000
χ32222-2-22-222-2-222-2-22-2-22-220000−2i2i−2i2i000000000000002i−2i00000000000000
χ33222-2-2-2-22222-2-222-2-2000000002-2-22000000002i−2i−2i2i0000002i−2i0000000000
χ34222-2-2-2-22222-2-222-2-2000000002-2-2200000000−2i2i2i−2i000000−2i2i0000000000
χ35222-2-2-2-22222-2-222-2-200000000-222-2000000002i−2i−2i2i000000−2i2i0000000000
χ36222-2-2-2-22222-2-222-2-200000000-222-200000000−2i2i2i−2i0000002i−2i0000000000
χ3722-222-2-22-22-22-22-22-22-2-222i−2i2i−2i00000000000000002i−2i0000000000000000
χ3822-222-2-22-22-22-22-22-22-2-22−2i2i−2i2i0000000000000000−2i2i0000000000000000
χ3922-222-2-22-22-22-22-22-2-222-22i−2i2i−2i0000000000000000−2i2i0000000000000000
χ4022-222-2-22-22-22-22-22-2-222-2−2i2i−2i2i00000000000000002i−2i0000000000000000
χ4122-22-222-22-22-2-22-22-20000000000002i−2i2i−2i2-22-20000000000002i−2i00000000
χ4222-22-222-22-22-2-22-22-20000000000002i−2i2i−2i-22-22000000000000−2i2i00000000
χ4322-22-222-22-22-2-22-22-2000000000000−2i2i−2i2i2-22-2000000000000−2i2i00000000
χ4422-22-222-22-22-2-22-22-2000000000000−2i2i−2i2i-22-220000000000002i−2i00000000
χ4522-22-2-22-222-222-22-2-200002-2-22000000002i−2i−2i2i000000002i−2i000000000000
χ4622-22-2-22-222-222-22-2-200002-2-2200000000−2i2i2i−2i00000000−2i2i000000000000
χ4722-22-2-22-222-222-22-2-20000-222-2000000002i−2i−2i2i00000000−2i2i000000000000
χ4822-22-2-22-222-222-22-2-20000-222-200000000−2i2i2i−2i000000002i−2i000000000000
χ4922-2-2-2-222-2-222-2-222222-2-2000000002-2-22000000000000000000002-20000
χ5022-2-2-2-222-2-222-2-222222-2-200000000-222-200000000000000000000-220000
χ5122-2-2-2-222-2-222-2-2222-2-222000000002-2-2200000000000000000000-220000
χ5222-2-2-2-222-2-222-2-2222-2-22200000000-222-2000000000000000000002-20000
χ534444-4-4-4-4-4-4-4-444444000000000000000000000000000000000000000000
χ54444-4444-4-4-4-44-444-4-4000000000000000000000000000000000000000000
χ5544-4444-44-4-44-44-44-4-4000000000000000000000000000000000000000000
χ5644-4-444-4-444-4-4-4-4444000000000000000000000000000000000000000000
χ5744-4-44-4-4-44-44444-4-44000000000000000000000000000000000000000000
χ5844-4-4-4444-44-4-444-4-44000000000000000000000000000000000000000000
χ5916-16000000000000000000000000000000000000000000000000000000000

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