Finite Group Databasebeta

← Group #285532

Character table — Group #285532

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222244444488888888888888816161616161616161616161616161616323232
order12224444442444442448888888888882444448888888888488
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1111111-111-1-1-111-1-1-1111-1-1-1-1-1
χ3111111111111111111111-1-11111-1-1-1-11-1-1111-1-111111-1-1-1-1-1-1
χ4111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111
χ51111111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1111-1-1111-11-1
χ61111111111111111111-1-111-1-1-1-111111-1-1111-1-1-1-1-1-1-11-1-11-11
χ71111111111111111111-1-1-1-111-1-1-1-1-1-1-111-1-1-111111-1-1-1-1-11-11
χ81111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-11-1
χ9111111111111-1-111-1-1-111111111-1-1-1-11111-1-1-1-11-1-1-1-11-1-111-1
χ10111111111111-1-111-1-1-11111-1-111-1-1-1-1-111-111-1-1-111-1-1111-1-11
χ11111111111111-1-111-1-1-111-1-1111111111-1-11-1-1111-1-1-1-1-111-1-11
χ12111111111111-1-111-1-1-111-1-1-1-1111111-1-1-1-11111-111-1-1-1-1-111-1
χ13111111111111-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-1-1111-1-1-111
χ14111111111111-1-111-1-1-1-1-111-1-1-1-1-1-1-1-11-1-11-1-111-111111111-1-1
χ15111111111111-1-111-1-1-1-1-1-1-111-1-11111-111-111-1-11-1-111-1111-1-1
χ16111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11111-1-1-1-111
χ17222222-2-222-2-222-22-2-220022000022-2-20000000000000-200000
χ18222222-2-222-2-222-22-2-2200-2-20000-2-2220000000000000200000
χ19222222-2-222-2-2-2-2-2222-200220000-2-2220000000000000-200000
χ20222222-2-222-2-2-2-2-2222-200-2-2000022-2-20000000000000200000
χ2122222-2222-2-2-2222-2-22-200000000000002-20002-200000000000
χ2222222-2222-2-2-2222-2-22-20000000000000-22000-2200000000000
χ2322222-2222-2-2-2-2-22-22-2200000000000002-2000-2200000000000
χ2422222-2222-2-2-2-2-22-22-220000000000000-220002-200000000000
χ2522222-2-2-22-22222-2-22-2-22i−2i00002i−2i0000000000000002i−2i000000
χ2622222-2-2-22-22222-2-22-2-2−2i2i0000−2i2i000000000000000−2i2i000000
χ2722222-2-2-22-222-2-2-2-2-2222i−2i00002i−2i000000000000000−2i2i000000
χ2822222-2-2-22-222-2-2-2-2-222−2i2i0000−2i2i0000000000000002i−2i000000
χ292222-2222-22-2200-2-2000220022-2-20000200-20000-20000000000
χ302222-2222-22-2200-2-20002200-2-2-2-20000-2002000020000000000
χ312222-2222-22-2200-2-2000-2-20022220000-20020000-20000000000
χ322222-2222-22-2200-2-2000-2-200-2-2220000200-2000020000000000
χ332222-2-2-2-2-2-2-2200220002i−2i0000−2i2i000000002-20002i−2i00000000
χ342222-2-2-2-2-2-2-2200220002i−2i0000−2i2i00000000-22000−2i2i00000000
χ352222-2-2-2-2-2-2-220022000−2i2i00002i−2i000000002-2000−2i2i00000000
χ362222-2-2-2-2-2-2-220022000−2i2i00002i−2i00000000-220002i−2i00000000
χ374444-44-4-4-444-4004-40000000000000000000000000000000000
χ384444-4-444-4-44-400-440000000000000000000000000000000000
χ3944-4-404000-4000000000000022−22000022−22000000000000002-2000
χ4044-4-404000-4000000000000022−220000−222200000000000000-22000
χ4144-4-404000-40000000000000−2222000022−2200000000000000-22000
χ4244-4-404000-40000000000000−22220000−2222000000000000002-2000
χ434-4-44-400040004-4000000022−22000022−22000000000000000000000
χ444-4-44-400040004-40000000−22220000−2222000000000000000000000
χ454-4-44-40004000-44000000022−220000−2222000000000000000000000
χ464-4-44-40004000-440000000−2222000022−22000000000000000000000
χ4788-8-80-800080000000000000000000000000000000000000000
χ488-88-8008-8000000000000000000000000000000000000000000
χ498-88-800-88000000000000000000000000000000000000000000
χ508-8-888000-800000000000000000000000000000000000000000

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