Finite Group Databasebeta

← Group #139921

Character table — Group #139921

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111222222444444888888888881616161616161616161616161616161632323232
order12222222224444444444444444424444444888888888888
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-11-111-11111-1-11-1-1-111-1-1iiii−i−i−i−iii−i−i
χ6111111111111-1-1-1-11-111-11111-1-11-1-1-111-1-1−i−i−i−iiiii−i−iii
χ7111111111111-1-1-1-11-111-1-1-1-1-1-1-11-111-1-111iiii−i−i−i−i−i−iii
χ8111111111111-1-1-1-11-111-1-1-1-1-1-1-11-111-1-111−i−i−i−iiiiiii−i−i
χ91111111111-1-111-1-1-1-11111111-1-1-11-1-1-1-111ii−i−iii−i−ii−ii−i
χ101111111111-1-111-1-1-1-11111111-1-1-11-1-1-1-111−i−iii−i−iii−ii−ii
χ111111111111-1-111-1-1-1-1111-1-1-1-1-1-1-111111-1-1ii−i−iii−i−i−ii−ii
χ121111111111-1-111-1-1-1-1111-1-1-1-1-1-1-111111-1-1−i−iii−i−iiii−ii−i
χ131111111111-1-1-1-111-1111-1111111-1-111-1-1-1-111-1-1-1-1111-1-11
χ141111111111-1-1-1-111-1111-1111111-1-111-1-1-1-1-1-11111-1-1-111-1
χ151111111111-1-1-1-111-1111-1-1-1-1-111-1-1-1-1111111-1-1-1-111-111-1
χ161111111111-1-1-1-111-1111-1-1-1-1-111-1-1-1-11111-1-11111-1-11-1-11
χ17222222222222222222-2-220000-2-2-2-2000000000000000000
χ18222222222222-2-2-2-22-2-2-2-2000022-22000000000000000000
χ192222222222-2-222-2-2-2-2-2-220000222-2000000000000000000
χ202222222222-2-2-2-222-22-2-2-20000-2-222000000000000000000
χ2122222-2-22-2-20000220-22-2000002-200000000002-22-2000000
χ2222222-2-22-2-20000220-22-2000002-20000000000-22-22000000
χ2322222-2-22-2-20000220-2-2200000-22000000002-200002-20000
χ2422222-2-22-2-20000220-2-2200000-2200000000-220000-220000
χ2522222-2-22-2-20000-2-2022-200000-2200000000002i−2i−2i2i000000
χ2622222-2-22-2-20000-2-2022-200000-220000000000−2i2i2i−2i000000
χ2722222-2-22-2-20000-2-202-22000002-2000000002i−2i0000−2i2i0000
χ2822222-2-22-2-20000-2-202-22000002-200000000−2i2i00002i−2i0000
χ294444-44-4-44-40044000000-400000000000000000000000000
χ304444-44-4-44-400-4-4000000400000000000000000000000000
χ314444-4-44-4-44440000-4000000000000000000000000000000
χ324444-4-44-4-44-4-400004000000000000000000000000000000
χ3344-4-400-40044i−4i0000000002i2i−2i−2i0000002-200000000000000
χ3444-4-400-40044i−4i000000000−2i−2i2i2i000000-2200000000000000
χ3544-4-400-4004−4i4i0000000002i2i−2i−2i000000-2200000000000000
χ3644-4-400-4004−4i4i000000000−2i−2i2i2i0000002-200000000000000
χ374-44-40-40040004i−4i00000002-22-2000000002i−2i000000000000
χ384-44-40-40040004i−4i0000000-22-2200000000−2i2i000000000000
χ394-44-40-4004000−4i4i00000002-22-200000000−2i2i000000000000
χ404-44-40-4004000−4i4i0000000-22-22000000002i−2i000000000000
χ414-4-44400-40000004i−4i000002i−2i−2i2i00002-20000000000000000
χ424-4-44400-40000004i−4i00000−2i2i2i−2i0000-220000000000000000
χ434-4-44400-4000000−4i4i000002i−2i−2i2i0000-220000000000000000
χ444-4-44400-4000000−4i4i00000−2i2i2i−2i00002-20000000000000000
χ4588-8-800800-80000000000000000000000000000000000000
χ468-88-80800-800000000000000000000000000000000000000
χ478-8-88-8008000000000000000000000000000000000000000

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