Finite Group Databasebeta

← Group #251377

Character table — Group #251377

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111122224444888888881616161616161616161616161616161616161616161616161616
order12222222222244444444444422444444444444444488888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1-1-1111-1-1-111-1-11-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-1111-1-1-111-1-11-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111-1-1-1-111-11-1-1-1-111-111111-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-1-1-111-11-1-1-1-111-11-1-1-1-111111111-1-1-1-1
χ91111111111111111-1-11111-1-11-1-1-1-1-1111-111-1-111-1-111-1-111-1-1
χ101111111111111111-1-11111-1-11-1-1-1-1-1111-1-1-111-1-111-1-111-1-111
χ111111111111111111-1-11111-1-1-11-1-111-1-1-1111-1-111-1-1-1-111-1-111
χ121111111111111111-1-11111-1-1-11-1-111-1-1-11-1-111-1-11111-1-111-1-1
χ131111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ141111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-11111-1-1
χ161111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-111
χ17222222222222-2-2-2-22222-2-2-2-2002-20000000000000000000000
χ18222222222222-2-2-2-222-2-222-2-200-220000000000000000000000
χ19222222222222-2-2-2-2-2-222-2-22200-220000000000000000000000
χ20222222222222-2-2-2-2-2-2-2-22222002-20000000000000000000000
χ2122222222-2-2-2-222-2-22-200002-20200002-20-20000000000000000
χ2222222222-2-2-2-222-2-22-200002-20-20000-22020000000000000000
χ2322222222-2-2-2-222-2-2-220000-22020000-220-20000000000000000
χ2422222222-2-2-2-222-2-2-220000-220-200002-2020000000000000000
χ2522222222-2-2-2-2-2-2222-20000-2220002-200-200000000000000000
χ2622222222-2-2-2-2-2-2222-20000-22-2000-2200200000000000000000
χ2722222222-2-2-2-2-2-222-2200002-22000-2200-200000000000000000
χ2822222222-2-2-2-2-2-222-2200002-2-20002-200200000000000000000
χ29222-2-2-2-2222-2-22-22-2002i−2i2i−2i000000000000002-2002i−2i00000000
χ30222-2-2-2-2222-2-22-22-2002i−2i2i−2i00000000000000-2200−2i2i00000000
χ31222-2-2-2-2222-2-22-22-200−2i2i−2i2i000000000000002-200−2i2i00000000
χ32222-2-2-2-2222-2-22-22-200−2i2i−2i2i00000000000000-22002i−2i00000000
χ33222-2-2-2-2222-2-2-22-22002i−2i−2i2i0000000000002-2002i−2i0000000000
χ34222-2-2-2-2222-2-2-22-22002i−2i−2i2i000000000000-2200−2i2i0000000000
χ35222-2-2-2-2222-2-2-22-2200−2i2i2i−2i0000000000002-200−2i2i0000000000
χ36222-2-2-2-2222-2-2-22-2200−2i2i2i−2i000000000000-22002i−2i0000000000
χ37444-4-4-4-44-4-4444-4-440000000000000000000000000000000000
χ38444-4-4-4-44-4-444-444-40000000000000000000000000000000000
χ394-4-444-4-444-44-40000000000000000000000000000000022−220000
χ404-4-444-4-444-44-400000000000000000000000000000000−22220000
χ414-4-444-4-44-44-4400000000000000000000000000000022−22000000
χ424-4-444-4-44-44-44000000000000000000000000000000−2222000000
χ434-4-4-4-44444-4-4400000000000000000000000000000000000022−22
χ444-4-4-4-44444-4-44000000000000000000000000000000000000−2222
χ454-4-4-4-4444-444-4000000000000000000000000000000000022−2200
χ464-4-4-4-4444-444-40000000000000000000000000000000000−222200
χ4788-88-88-8-8000000000000000000000000000000000000000000
χ4888-8-88-88-8000000000000000000000000000000000000000000
χ498-888-8-88-8000000000000000000000000000000000000000000
χ508-88-888-8-8000000000000000000000000000000000000000000

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