Finite Group Databasebeta

← Group #317280

Character table — Group #317280

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222244444444444444488888881616161616161616161616161616161632323232
order12224444244448888888888888888822444444888888888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111-1-1-1-111111-1-1-1-1-1-11-1111-111-1-1-1-111-1-111-1-1
χ6111111111111111-1-1-1-111111-1-1-1-1-1-11-1-1-11-1-1-1111111-1-1-1-111
χ7111111111111111-1-1-1-111111-1-1-1-1-1-1-1111-1111-1-1-1-1-1-111-1-111
χ8111111111111111-1-1-1-111111-1-1-1-1-1-1-11-1-1-11-1-11111-1-11111-1-1
χ91111111111111-1-11111-1-1-1-1-111-1-1-1-11-11-11-11-111-1-1-1-1111-11-1
χ101111111111111-1-11111-1-1-1-1-111-1-1-1-11-1-111-1-11-1-111-1-111-11-11
χ111111111111111-1-11111-1-1-1-1-111-1-1-1-1-111-1-111-111-1-111-1-1-11-11
χ121111111111111-1-11111-1-1-1-1-111-1-1-1-1-11-11-11-11-1-11111-1-11-11-1
χ131111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1111-1-1-111-1-1-1-11-1-11
χ141111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1111-1111-1-1-1-1-1-1-111-1
χ151111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-11-1-1-1111111-111-1
χ161111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11-1-1-1111-1-111111-1-11
χ1722222222-2-22-2-222222222-2-2-2-2-222-2-200000000000000000000
χ1822222222-2-22-2-222-2-2-2-222-2-2-222-2-22200000000000000000000
χ1922222222-2-22-2-2-2-22222-2-2222-2-2-2-22200000000000000000000
χ2022222222-2-22-2-2-2-2-2-2-2-2-2-22222222-2-200000000000000000000
χ2122222-2-2222-2-2-2220000-2-2-2-22000000000000002i−2i2i−2i00000000
χ2222222-2-2222-2-2-2220000-2-2-2-2200000000000000−2i2i−2i2i00000000
χ2322222-2-2222-2-2-2-2-200002222-2000000000000002i−2i−2i2i00000000
χ2422222-2-2222-2-2-2-2-200002222-200000000000000−2i2i2i−2i00000000
χ2522222-2-22-2-2-222220000-2-222-2000000002200-2-2000000000000
χ2622222-2-22-2-2-222220000-2-222-200000000-2-20022000000000000
χ2722222-2-22-2-2-222-2-2000022-2-22000000002-200-22000000000000
χ2822222-2-22-2-2-222-2-2000022-2-2200000000-22002-2000000000000
χ292222-2-2-2-22-22-22002i2i−2i−2i000002i−2i000002000-20000002i−2i000000
χ302222-2-2-2-22-22-22002i2i−2i−2i000002i−2i00000-20002000000−2i2i000000
χ312222-2-2-2-22-22-2200−2i−2i2i2i00000−2i2i000002000-2000000−2i2i000000
χ322222-2-2-2-22-22-2200−2i−2i2i2i00000−2i2i00000-200020000002i−2i000000
χ332222-2-2-2-2-2222-2002i2i−2i−2i00000−2i2i00002000-20000000002i−2i0000
χ342222-2-2-2-2-2222-2002i2i−2i−2i00000−2i2i0000-20002000000000−2i2i0000
χ352222-2-2-2-2-2222-200−2i−2i2i2i000002i−2i00002000-2000000000−2i2i0000
χ362222-2-2-2-2-2222-200−2i−2i2i2i000002i−2i0000-200020000000002i−2i0000
χ374444-444-44-4-44-40000000000000000000000000000000000000
χ384444-444-4-44-4-440000000000000000000000000000000000000
χ394-4-44400-400000002i2−2i22i2−2i24i−4i0000022−220000000000000000000000
χ404-4-44400-400000002i2−2i22i2−2i2−4i4i00000−22220000000000000000000000
χ414-4-44400-40000000−2i22i2−2i22i24i−4i00000−22220000000000000000000000
χ424-4-44400-40000000−2i22i2−2i22i2−4i4i0000022−220000000000000000000000
χ434-4-44-4004000000022−22−2222004-40000022−2200000000000000000000
χ444-4-44-4004000000022−22−222200-4400000−222200000000000000000000
χ454-4-44-40040000000−222222−22004-400000−222200000000000000000000
χ464-4-44-40040000000−222222−2200-440000022−2200000000000000000000
χ4788-8-800000000042−4200000000000000000000000000000000000
χ4888-8-8000000000−424200000000000000000000000000000000000
χ498-88-808i−8i0000000000000000000000000000000000000000000
χ508-88-80−8i8i0000000000000000000000000000000000000000000

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