Finite Group Databasebeta

← Group #245484

Character table — Group #245484

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122222222444888888888888888816161616161616161616161616161616161616161616
order12222244444444422444444888888882244444444888888888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-1-1-1111-1111-1-1-1111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-1-1-11-111-1-1-1111-1-1-1111-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111-11-111-1-111111111-11-1-11-1-1-1-1-11-1-1111-1-111-1-1
χ61111111111111111-11-111-1-111-1-1-1-1-1-1-11-111-1-11111-1-1-1-1-111-1-111
χ71111111111111111-11-111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-111
χ81111111111111111-11-111-1-1-1-1-1-11111-1-1-11-111111-111-1-1-1-1-111-1-1
χ9111111111111111-11-11-1-11111111111-1-1-11-1-1-11-1-11111-1-1-1-1-1-111
χ10111111111111111-11-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1111111-1-1
χ11111111111111111-11-11-1-111-1-111-1-1-1-1-11-111111-1-1-1-1-11-1-11111-1-1
χ12111111111111111-11-11-1-111-1-1-1-11111-11-1-1111-111-1-1-1-111-1-1-1-111
χ13111111111111111-1-1-1-1-1-1-1-1111111111-11-1-111-1111-1-11-1-111-1-1-1-1
χ14111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-111-1111-1-11-1-1-111-1-11111
χ15111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-11-1-1-111-1111-1-1-1-11111
χ16111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-1-111-11111-1-1-1-1
χ17222222-2-22222-2-2-222-2-22-22-200000000-2020000000000000000000
χ18222222-2-22222-2-2-22-2-222-2-220000000020-20000000000000000000
χ19222222-2-22222-2-2-2-222-2-222-20000000020-20000000000000000000
χ20222222-2-22222-2-2-2-2-222-22-2200000000-2020000000000000000000
χ212222-2-22222-2-2-22-2020200-2-200220000000-2000200000-200000000
χ222222-2-22222-2-2-22-2020200-2-200-2-200000002000-200000200000000
χ232222-2-22222-2-2-22-20-20-20022002200000002000-200000-200000000
χ242222-2-22222-2-2-22-20-20-2002200-2-20000000-2000200000200000000
χ252222-2-222-2-222-2-222020-2-200220000000-200200000-200000000000
χ262222-2-222-2-222-2-222020-2-200-2-20000000200-200000200000000000
χ272222-2-222-2-222-2-22-20-202200220000000200-200000-200000000000
χ282222-2-222-2-222-2-22-20-202200-2-20000000-200200000200000000000
χ292222-2-2-2-222-2-22-22020-200-2200000000000000002-200002-2000000
χ302222-2-2-2-222-2-22-22020-200-220000000000000000-220000-22000000
χ312222-2-2-2-222-2-22-220-202002-200000000000000002-20000-22000000
χ322222-2-2-2-222-2-22-220-202002-20000000000000000-2200002-2000000
χ332222-2-2-2-2-2-22222-220-20-220000000000000002-200002-2000000000
χ342222-2-2-2-2-2-22222-220-20-22000000000000000-220000-22000000000
χ352222-2-2-2-2-2-22222-2-20202-20000000000000002-20000-22000000000
χ362222-2-2-2-2-2-22222-2-20202-2000000000000000-2200002-2000000000
χ3744444444-4-4-4-44-4-400000000000000000000000000000000000000
χ38444444-4-4-4-4-4-4-44400000000000000000000000000000000000000
χ3944-4-400-440000000000000002i2−2i22i2−2i222-2-20000000000000000000000
χ4044-4-400-440000000000000002i2−2i2−2i22i2-2-2220000000000000000000000
χ4144-4-400-44000000000000000−2i22i22i2−2i2-2-2220000000000000000000000
χ4244-4-400-44000000000000000−2i22i2−2i22i222-2-20000000000000000000000
χ434-44-44-4004-44-40000000000000000000000000000000000000002i2−2i2
χ444-44-44-4004-44-4000000000000000000000000000000000000000−2i22i2
χ454-44-44-400-44-4400000000000000000000000000000000000002i2−2i200
χ464-44-44-400-44-440000000000000000000000000000000000000−2i22i200
χ474-44-4-44004-4-440000000000000002i2−2i22i2−2i20000000000000000000000
χ484-44-4-44004-4-44000000000000000−2i22i2−2i22i20000000000000000000000
χ494-44-4-4400-444-4000000000000000000000000000000000002i2−2i20000
χ504-44-4-4400-444-400000000000000000000000000000000000−2i22i20000
χ5188-8-8008-8000000000000000000000000000000000000000000000
χ528-8-88000000000000000000000002i2−2i2−2i22i20000000000000000000000
χ538-8-8800000000000000000000000−2i22i22i2−2i20000000000000000000000

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