Finite Group Databasebeta

← Group #285516

Character table — Group #285516

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222244444488888888888888816161616161616161616161616161616323232
order12224444442444442448888888888882444448888888888288
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-111-1-1-1-11-1111-1-1-111-1111-1-1-1-1-1
χ3111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-11
χ4111111111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1111-1-1-1111-1-111-1
χ51111111111111111111-1-11111111111-11-1-1-1111111-1-1-1-1-1-1-1-1
χ61111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111
χ71111111111111111111-1-1-1-111-1-111111-1111-1-1-1-1-11-1-1-1-1-111-1
χ81111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11
χ9111111111111-1-111-1-1-111111111-1-1-1-1111-1-11-1-1-1-111-1-1-1-11-11
χ10111111111111-1-111-1-1-11111-1-11111111-11-1-1-111-1-1-11-1-111-11-1
χ11111111111111-1-111-1-1-111-1-111-1-1-1-1-1-1-1-1-111-1111111-1-1-1-1-111
χ12111111111111-1-111-1-1-111-1-1-1-1-1-11111-11-1111-1-111-11-1-1111-1-1
χ13111111111111-1-111-1-1-1-1-1111111-1-1-1-1-11-1111-1-1-1-11-11111-11-1
χ14111111111111-1-111-1-1-1-1-111-1-1111111-1-1-111-111-1-1-1-111-1-11-11
χ15111111111111-1-111-1-1-1-1-1-1-111-1-1-1-1-1-11-11-1-1-111111-111111-1-1
χ16111111111111-1-111-1-1-1-1-1-1-1-1-1-1-11111111-1-11-1-111-1-111-1-1-111
χ17222222-22-22-2-2222-2-22-200000000000002000-22-200000000000
χ18222222-22-22-2-2222-2-22-20000000000000-20002-2200000000000
χ19222222-22-22-2-2-2-22-22-2200000000000002000-2-2200000000000
χ20222222-22-22-2-2-2-22-22-220000000000000-200022-200000000000
χ2122222-22-222-2200-2-2000222200-2-2000020-200000000-20000000
χ2222222-22-222-2200-2-200022-2-200220000-20200000000-20000000
χ2322222-22-222-2200-2-2000-2-22200-2-20000-2020000000020000000
χ2422222-22-222-2200-2-2000-2-2-2-20022000020-20000000020000000
χ252222-22222-2-2-222-22-2-220000220022-2-20000000000-200000000
χ262222-22222-2-2-222-22-2-220000-2-200-2-2220000000000200000000
χ272222-22222-2-2-2-2-2-2222-200002200-2-2220000000000-200000000
χ282222-22222-2-2-2-2-2-2222-20000-2-20022-2-20000000000200000000
χ292222-22-22-2-22222-2-22-2-2002i−2i002i−2i0000000000002i−2i000000000
χ302222-22-22-2-22222-2-22-2-200−2i2i00−2i2i000000000000−2i2i000000000
χ312222-22-22-2-222-2-2-2-2-222002i−2i002i−2i000000000000−2i2i000000000
χ322222-22-22-2-222-2-2-2-2-22200−2i2i00−2i2i0000000000002i−2i000000000
χ332222-2-2-2-2-2-2-220022000002i−2i00−2i2i00000002-200000002i−2i00000
χ342222-2-2-2-2-2-2-220022000002i−2i00−2i2i0000000-220000000−2i2i00000
χ352222-2-2-2-2-2-2-22002200000−2i2i002i−2i00000002-20000000−2i2i00000
χ362222-2-2-2-2-2-2-22002200000−2i2i002i−2i0000000-2200000002i−2i00000
χ3744444-4-4-4-444-400-440000000000000000000000000000000000
χ384444-4-44-44-44-4004-40000000000000000000000000000000000
χ3944-4-400-40400000000002i2−2i2000000002i2−2i2000000000000002-2000
χ4044-4-400-40400000000002i2−2i200000000−2i22i200000000000000-22000
χ4144-4-400-4040000000000−2i22i2000000002i2−2i200000000000000-22000
χ4244-4-400-4040000000000−2i22i200000000−2i22i2000000000000002-2000
χ434-4-440-40400004-400000000022−220022−22000000000000000000000
χ444-4-440-40400004-4000000000−222200−2222000000000000000000000
χ454-4-440-4040000-4400000000022−2200−2222000000000000000000000
χ464-4-440-4040000-44000000000−22220022−22000000000000000000000
χ4788-8-80080-800000000000000000000000000000000000000000
χ488-88-880000-80000000000000000000000000000000000000000
χ498-88-8-8000080000000000000000000000000000000000000000
χ508-8-88080-8000000000000000000000000000000000000000000

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