Finite Group Databasebeta

← Group #259698

Character table — Group #259698

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122224444444444444444888888888888881616161616161616161616161616161616161616
order12222222222244444444444444442244444444444424444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-11-1-11-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1-1-1111111-1-1-1-1-1-11111111111-11-1-1-1-11-1-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-1111111-1-1-1-1-1-111111111-1-11-111-1-1-1-1-11-1-1-1-11111
χ7111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-111111-1-1-1-1-11111
χ8111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-11111111-1-1-1-1
χ911111111111111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-111-1-111-1-1
χ1011111111111111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1111-1-11-1-111-1-111
χ1111111111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-111-1-1-111-1-1-111-1-111
χ1211111111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1111111-1-111-1-1
χ1311111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1111-1-1-1-1-1-111111-1-1-1-111
χ1411111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1111-1-1111-1-1-11111-1-1
χ1511111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111-1-1-111-1-1-11-1-11111-1-1
χ1611111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1111111-1-1-111-1-1-1-111
χ17222222222222-2-222222222-2-2-2-2-2-222-2-2-2-20000000000000000000000000000
χ18222222222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000000000000000
χ19222222222222-2-2-2-2-2-222222222-2-2-2-222-2-20000000000000000000000000000
χ20222222222222-2-2-2-2-2-2-2-2-2-22222-2-222-2-2220000000000000000000000000000
χ2122222222-2-2-2-22-222-2-2000022-2-22-20000000000000000202-200000-200000000
χ2222222222-2-2-2-22-222-2-2000022-2-22-20000000000000000-20-2200000200000000
χ2322222222-2-2-2-22-2-2-2220000-2-2222-2000000000000000020-2200000-200000000
χ2422222222-2-2-2-22-2-2-2220000-2-2222-20000000000000000-202-200000200000000
χ2522222222-2-2-2-2-2222-2-20000-2-222-22000000000000002-2020000-200000000000
χ2622222222-2-2-2-2-2222-2-20000-2-222-2200000000000000-220-20000200000000000
χ2722222222-2-2-2-2-22-2-222000022-2-2-22000000000000002-20-20000200000000000
χ2822222222-2-2-2-2-22-2-222000022-2-2-2200000000000000-22020000-200000000000
χ29222-2-2-2-222-22-2002i−2i2i−2i2i2i−2i−2i0000002-20000000000000000000000002−2i2−i2i2−i22−2
χ30222-2-2-2-222-22-2002i−2i2i−2i2i2i−2i−2i0000002-2000000000000000000000000−22−i2i2−i2i2−22
χ31222-2-2-2-222-22-2002i−2i2i−2i−2i−2i2i2i000000-220000000000000000000000002−2i2−i2−i2i2−22
χ32222-2-2-2-222-22-2002i−2i2i−2i−2i−2i2i2i000000-22000000000000000000000000−22−i2i2i2−i22−2
χ33222-2-2-2-222-22-200−2i2i−2i2i2i2i−2i−2i000000-220000000000000000000000002−2−i2i2i2−i2−22
χ34222-2-2-2-222-22-200−2i2i−2i2i2i2i−2i−2i000000-22000000000000000000000000−22i2−i2−i2i22−2
χ35222-2-2-2-222-22-200−2i2i−2i2i−2i−2i2i2i0000002-20000000000000000000000002−2−i2i2−i2i22−2
χ36222-2-2-2-222-22-200−2i2i−2i2i−2i−2i2i2i0000002-2000000000000000000000000−22i2−i2i2−i2−22
χ3722-22-2-22-22-2-222-200002i−2i2i−2i0000-2200002i−2i2i2i−2i−2i00000000002-2000000000000
χ3822-22-2-22-22-2-222-200002i−2i2i−2i0000-2200002i−2i−2i−2i2i2i0000000000-22000000000000
χ3922-22-2-22-22-2-222-20000−2i2i−2i2i0000-220000−2i2i2i2i−2i−2i0000000000-22000000000000
χ4022-22-2-22-22-2-222-20000−2i2i−2i2i0000-220000−2i2i−2i−2i2i2i00000000002-2000000000000
χ4122-22-2-22-22-2-22-2200002i−2i2i−2i00002-20000−2i2i000022-2-20000000002i−2i000000000
χ4222-22-2-22-22-2-22-2200002i−2i2i−2i00002-20000−2i2i0000-2-222000000000−2i2i000000000
χ4322-22-2-22-22-2-22-220000−2i2i−2i2i00002-200002i−2i000022-2-2000000000−2i2i000000000
χ4422-22-2-22-22-2-22-220000−2i2i−2i2i00002-200002i−2i0000-2-2220000000002i−2i000000000
χ45444-4-4-4-44-44-44004i−4i−4i4i00000000000000000000000000000000000000000000
χ46444-4-4-4-44-44-4400−4i4i4i−4i00000000000000000000000000000000000000000000
χ4744-44-4-44-4-444-444000000000000-4-40000000000000000000000000000000000
χ4844-44-4-44-4-444-4-4-4000000000000440000000000000000000000000000000000
χ4944-4-444-4-444-4-40000004-4-440000000000000000000000000000000000000000
χ5044-4-444-4-444-4-4000000-444-40000000000000000000000000000000000000000
χ5144-4-444-4-4-4-4440000000000000000004i−4i000000000000000000000000000000
χ5244-4-444-4-4-4-444000000000000000000−4i4i000000000000000000000000000000
χ534-44-44-44-400000000000000004i−4i000000002i−2i2i−2i2-22-200000000000000000000
χ544-44-44-44-400000000000000004i−4i00000000−2i2i−2i2i-22-2200000000000000000000
χ554-44-44-44-40000000000000000−4i4i000000002i−2i2i−2i-22-2200000000000000000000
χ564-44-44-44-40000000000000000−4i4i00000000−2i2i−2i2i2-22-200000000000000000000
χ574-4-4-4-4444000000000000004-400000000002-2-222-2-2200000000000000000000
χ584-4-4-4-4444000000000000004-40000000000-222-2-222-200000000000000000000
χ594-4-4-4-444400000000000000-4400000000002-2-22-222-200000000000000000000
χ604-4-4-4-444400000000000000-440000000000-222-22-2-2200000000000000000000
χ618-888-88-8-8000000000000000000000000000000000000000000000000000000
χ628-8-888-8-88000000000000000000000000000000000000000000000000000000

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