Finite Group Databasebeta

← Group #245477

Character table — Group #245477

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122222222444888888888888888816161616161616161616161616161616161616161616
order12222244444444422444444888888882222444444888888888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-1-1-1111-1111-1-1-1111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-1-1-1-1-1-1111-1111-1-1-1111-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111-11-11-11-1111111111-1-1-1-1-11-1-1-11-1-1111-1-111-1-1
χ61111111111111111-11-11-11-111-1-1-1-1-1-11-1-11-1-111111-1-1-1-1-111-1-111
χ71111111111111111-11-11-11-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-111
χ81111111111111111-11-11-11-1-1-1-1-11111-1111-1-1-1111-111-1-1-1-1-111-1-1
χ9111111111111111-11-11-11-1111111111-1-1-11-1-1-11-1-11111-1-1-1-1-1-111
χ10111111111111111-11-11-11-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1111111-1-1
χ11111111111111111-11-11-11-11-1-111-1-1-1-11111-1-111-1-1-1-1-11-1-11111-1-1
χ12111111111111111-11-11-11-11-1-1-1-11111111-1-1-11-111-1-1-1-111-1-1-1-111
χ13111111111111111-1-1-1-1-1-1-1-111111111-111-111-1-1111-1-11-1-111-1-1-1-1
χ14111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111111-11-1-11-1-1-111-1-11111
χ15111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1111-111-1111-1-1-1-11111
χ16111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111111-1-1-111-11111-1-1-1-1
χ17222222-2-22222-2-2-222-2-2-2-2220000000000002-20000000000000000
χ18222222-2-22222-2-2-22-2-22-222-2000000000000-220000000000000000
χ19222222-2-22222-2-2-2-222-22-2-22000000000000-220000000000000000
χ20222222-2-22222-2-2-2-2-22222-2-20000000000002-20000000000000000
χ212222-2-22222-2-2-22-202020-20-2002200000002000-200000-200000000
χ222222-2-22222-2-2-22-202020-20-200-2-20000000-2000200000200000000
χ232222-2-22222-2-2-22-20-20-2020200220000000-2000200000-200000000
χ242222-2-22222-2-2-22-20-20-2020200-2-200000002000-200000200000000
χ252222-2-222-2-222-2-222020-20-2022000000-2000002000-200000000000
χ262222-2-222-2-222-2-222020-20-20-2-2000000200000-2000200000000000
χ272222-2-222-2-222-2-22-20-20202022000000200000-2000-200000000000
χ282222-2-222-2-222-2-22-20-202020-2-2000000-2000002000200000000000
χ292222-2-2-2-222-2-22-22020-2020-200000000000000002-200002-2000000
χ302222-2-2-2-222-2-22-22020-2020-20000000000000000-220000-22000000
χ312222-2-2-2-222-2-22-220-2020-20200000000000000002-20000-22000000
χ322222-2-2-2-222-2-22-220-2020-2020000000000000000-2200002-2000000
χ332222-2-2-2-2-2-22222-220-2020-200000000002-2000000002-2000000000
χ342222-2-2-2-2-2-22222-220-2020-20000000000-2200000000-22000000000
χ352222-2-2-2-2-2-22222-2-2020-20200000000002-200000000-22000000000
χ362222-2-2-2-2-2-22222-2-2020-2020000000000-22000000002-2000000000
χ3744444444-4-4-4-44-4-400000000000000000000000000000000000000
χ38444444-4-4-4-4-4-4-44400000000000000000000000000000000000000
χ3944-4-400-440000000000000002i2−2i222−222i2i−2i−2i0000000000000000000000
χ4044-4-400-440000000000000002i2−2i2−2222−2i−2i2i2i0000000000000000000000
χ4144-4-400-44000000000000000−2i22i222−22−2i−2i2i2i0000000000000000000000
χ4244-4-400-44000000000000000−2i22i2−22222i2i−2i−2i0000000000000000000000
χ434-4-444-4004-44-40000000000000000000000000000000000022−220000
χ444-4-444-4004-44-400000000000000000000000000000000000−22220000
χ454-4-444-400-44-4400000000000000022−2222−220000000000000000000000
χ464-4-444-400-44-44000000000000000−2222−22220000000000000000000000
χ474-4-44-44004-4-44000000000000000000000000000000000000022−2200
χ484-4-44-44004-4-440000000000000000000000000000000000000−222200
χ494-4-44-4400-444-400000000000000000000000000000000000000022−22
χ504-4-44-4400-444-4000000000000000000000000000000000000000−2222
χ5188-8-8008-8000000000000000000000000000000000000000000000
χ528-88-8000000000000000000000002i2−2i2−2i22i20000000000000000000000
χ538-88-800000000000000000000000−2i22i22i2−2i20000000000000000000000

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