Finite Group Databasebeta

← Group #265696

Character table — Group #265696

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111111112222222244444444888888888888888888888888816161616161616161616161616161616
order12222222222244444444444444444444444444444888888884444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-11111111-1-11111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-111111111
χ5111111111111111111111111-1-111-1-111111111111-1-1-1-1-1-1-1-1-1-1-11-1-11-11111-1-1-1-1
χ6111111111111111111111111-1-111-1-1-1-1-1-1111-1-1-1-111111111-1-1-11-1-11-1-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-111-11-1-11-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111111111-111-11-1-111111-1-1-1-1
χ9111111111111-1-1-1-1-1-11-1-11111111111111-1-1-1-1-1-1-11111-1-1-1-1-11-1-1-1-11111-1-111-1-1
χ10111111111111-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-1-11111-1-1-1-11111-11-1-1-1-111-1-111-1-111
χ11111111111111-1-1-1-1-1-11-1-111111-1-1111111-111-1-1-1-11111-1-1-1-1-1-1111-1-1-1-1-111-1-111
χ12111111111111-1-1-1-1-1-11-1-111111-1-111-1-1-1-1-1111111-1-1-1-11111-1-1111-1-1-111-1-111-1-1
χ13111111111111-1-1-1-1-1-11-1-1111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-111111-11-1111-111-1-1-1-111
χ14111111111111-1-1-1-1-1-11-1-1111-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-11-11-1111-1-1-11111-1-1
χ15111111111111-1-1-1-1-1-11-1-1111-1-1-1-1-1-11111-111-1-1-1-1-1-1-1-1111111-11-11-11-1-11111-1-1
χ16111111111111-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-11-11-1111-1-1-1-111
χ17222222222222222222-2-2-2-2-2-20022000000-222000000000000000-200-2000000000
χ18222222222222222222-2-2-2-2-2-200-2-2000000-2-2-20000000000000002002000000000
χ19222222222222-2-2-2-2-2-2-222-2-2-200220000002-2-2000000000000000200-2000000000
χ20222222222222-2-2-2-2-2-2-222-2-2-200-2-2000000222000000000000000-2002000000000
χ2122222222-2-2-2-22222-2-22-2-2-2-2200000000002000000000000000220-200-200000000
χ2222222222-2-2-2-22222-2-22-2-2-2-2200000000002000000000000000-2-20200200000000
χ2322222222-2-2-2-22222-2-2-22222-22200-2-20000-20000000000000020000-20000000000
χ2422222222-2-2-2-22222-2-2-22222-2-2-200220000-200000000000000-2000020000000000
χ2522222222-2-2-2-2-2-2-2-222222-2-220000000000-20000000000000002-20200-200000000
χ2622222222-2-2-2-2-2-2-2-222222-2-220000000000-2000000000000000-220-200200000000
χ2722222222-2-2-2-2-2-2-2-222-2-2-222-22200-2-20000200000000000000-2000020000000000
χ2822222222-2-2-2-2-2-2-2-222-2-2-222-2-2-20022000020000000000000020000-20000000000
χ29222-2-2-22-222-2-20000002002-2-22-2002-222-2-2000000022-2-200000000000000000000
χ30222-2-2-22-222-2-20000002002-2-22-2002-2-2-2220000000-2-22200000000000000000000
χ31222-2-2-22-222-2-20000002002-2-2-2200-2222-2-20000000-2-22200000000000000000000
χ32222-2-2-22-222-2-20000002002-2-2-2200-22-2-222000000022-2-200000000000000000000
χ33222-2-2-22-2-2-222000000-2002-222-200-2200000002i2i−2i−2i00002i2i−2i−2i0000000000000000
χ34222-2-2-22-2-2-222000000-2002-222-200-220000000−2i−2i2i2i0000−2i−2i2i2i0000000000000000
χ35222-2-2-22-2-2-222000000-2002-22-22002-200000002i2i−2i−2i0000−2i−2i2i2i0000000000000000
χ36222-2-2-22-2-2-222000000-2002-22-22002-20000000−2i−2i2i2i00002i2i−2i−2i0000000000000000
χ3722-22-2-2-222-22-22i2i−2i−2i2i−2i000000002i−2i00000002-200002−22−2i2−i2i2−i2000000000000i2−i22−2
χ3822-22-2-2-222-22-22i2i−2i−2i2i−2i000000002i−2i00000002-20000−22−22−i2i2−i2i2000000000000−i2i2−22
χ3922-22-2-2-222-22-22i2i−2i−2i2i−2i00000000−2i2i0000000-2200002−22−2i2−i2i2−i2000000000000−i2i2−22
χ4022-22-2-2-222-22-22i2i−2i−2i2i−2i00000000−2i2i0000000-220000−22−22−i2i2−i2i2000000000000i2−i22−2
χ4122-22-2-2-222-22-2−2i−2i2i2i−2i2i000000002i−2i0000000-2200002−22−2−i2i2−i2i2000000000000i2−i2−22
χ4222-22-2-2-222-22-2−2i−2i2i2i−2i2i000000002i−2i0000000-220000−22−22i2−i2i2−i2000000000000−i2i22−2
χ4322-22-2-2-222-22-2−2i−2i2i2i−2i2i00000000−2i2i00000002-200002−22−2−i2i2−i2i2000000000000−i2i22−2
χ4422-22-2-2-222-22-2−2i−2i2i2i−2i2i00000000−2i2i00000002-20000−22−22i2−i2i2−i2000000000000i2−i2−22
χ45444-4-4-44-444-4-4000000-400-44400000000000000000000000000000000000000000
χ46444-4-4-44-4-4-444000000400-44-400000000000000000000000000000000000000000
χ4744-44-4-4-44-44-444i4i−4i−4i−4i4i00000000000000000000000000000000000000000000000
χ4844-44-4-4-44-44-44−4i−4i4i4i4i−4i00000000000000000000000000000000000000000000000
χ4944-4-444-4-44-4-440000000000000000000000000000022−22−222200000000000000000000
χ5044-4-444-4-44-4-4400000000000000000000000000000−222222−2200000000000000000000
χ5144-4-444-4-4-444-400000000000000000000000000000000022−22−22220000000000000000
χ5244-4-444-4-4-444-4000000000000000000000000000000000−222222−220000000000000000
χ534-4444-4-4-400004-44-4000000000000000000000000000000000000000002-22-20000
χ544-4444-4-4-400004-44-400000000000000000000000000000000000000000-22-220000
χ554-4444-4-4-40000-44-44000000000000000000000000000000000000000002-2-220000
χ564-4444-4-4-40000-44-4400000000000000000000000000000000000000000-222-20000
χ574-4-44-444-400004i−4i−4i4i000000000000002-22-20002i−2i2i−2i000000000000000000000000
χ584-4-44-444-400004i−4i−4i4i00000000000000-22-22000−2i2i−2i2i000000000000000000000000
χ594-4-44-444-40000−4i4i4i−4i000000000000002-22-2000−2i2i−2i2i000000000000000000000000
χ604-4-44-444-40000−4i4i4i−4i00000000000000-22-220002i−2i2i−2i000000000000000000000000
χ614-4-4-44-444000000000004-40000000002-2-220002-2-22000000000000000000000000
χ624-4-4-44-444000000000004-4000000000-222-2000-222-2000000000000000000000000
χ634-4-4-44-44400000000000-440000000002-2-22000-222-2000000000000000000000000
χ644-4-4-44-44400000000000-44000000000-222-20002-2-22000000000000000000000000
χ658-88-8-88-88000000000000000000000000000000000000000000000000000000000

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