Finite Group Databasebeta

← Group #285557

Character table — Group #285557

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222244444488888888888888816161616161616161616161616161616323232
order12224444442444442448888888888882244448888888888488
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-1-1-1111-11-1-1-1111-111-1-1-1-1-1
χ3111111111111111111111-1-111111111-1-1-11-1111-1-1-1111-1-1-1-1-1
χ4111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ51111111111111111111-1-111-1-1111111-1-1-1-1-1-1-11111-1-1-111-11-1
χ61111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-11-111-11111-1-1-1-11-11
χ71111111111111111111-1-1-1-1-1-1111111111-11-1-11-1-1-1-1-1-1-1-11-11
χ81111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-1-111-11-1
χ9111111111111-1-111-1-1-111111111-1-1-1-1-1-11111-111-1-1-1-1-1-1-111-1
χ10111111111111-1-111-1-1-1111111-1-11111-1-11-11-11-11-1-11-1-111-1-11
χ11111111111111-1-111-1-1-111-1-11111-1-1-1-111-11-11-11-111-1-1-111-1-11
χ12111111111111-1-111-1-1-111-1-111-1-1111111-1-1-1-11-1-1111-1-1-1-111-1
χ13111111111111-1-111-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1111-1-1111-1-1-111
χ14111111111111-1-111-1-1-1-1-111-1-1-1-1111111-11-11-1-11-1-1-111111-1-1
χ15111111111111-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-11-111-111111111-1-1
χ16111111111111-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-111-111-1-1-111
χ172222222-2-22-2-222-222-2-20000002222-2-20000000-200000000000
χ182222222-2-22-2-222-222-2-2000000-2-2-2-2220000000200000000000
χ192222222-2-22-2-2-2-2-22-22200000022-2-2220000000-200000000000
χ202222222-2-22-2-2-2-2-22-222000000-2-222-2-20000000200000000000
χ2122222-2222-2-2-2222-2-22-200000000000000020-220000-20000000
χ2222222-2222-2-2-2222-2-22-2000000000000000-202-2000020000000
χ2322222-2222-2-2-2-2-22-22-2200000000000000020-2-2000020000000
χ2422222-2222-2-2-2-2-22-22-22000000000000000-20220000-20000000
χ2522222-22-2-2-22222-2-2-2-222i−2i002i−2i0000000000000000002i−2i00000
χ2622222-22-2-2-22222-2-2-2-22−2i2i00−2i2i000000000000000000−2i2i00000
χ2722222-22-2-2-222-2-2-2-222-22i−2i002i−2i000000000000000000−2i2i00000
χ2822222-22-2-2-222-2-2-2-222-2−2i2i00−2i2i0000000000000000002i−2i00000
χ292222-22-2222-2200-2-20002222-2-200000000-202000-20000000000
χ302222-22-2222-2200-2-200022-2-2-2-20000000020-200020000000000
χ312222-22-2222-2200-2-2000-2-222220000000020-2000-20000000000
χ322222-22-2222-2200-2-2000-2-2-2-22200000000-20200020000000000
χ332222-2-2-2-2-2-2-2200220002i−2i00−2i2i0000002-200000002i−2i00000000
χ342222-2-2-2-2-2-2-2200220002i−2i00−2i2i000000-220000000−2i2i00000000
χ352222-2-2-2-2-2-2-220022000−2i2i002i−2i0000002-20000000−2i2i00000000
χ362222-2-2-2-2-2-2-220022000−2i2i002i−2i000000-2200000002i−2i00000000
χ374444-44-4-4-444-4004-40000000000000000000000000000000000
χ384444-4-4-444-44-400-440000000000000000000000000000000000
χ3944-4-40-400040000000000022−220000002i2−2i2000000000000002i−2i000
χ4044-4-40-400040000000000022−22000000−2i22i200000000000000−2i2i000
χ4144-4-40-4000400000000000−22220000002i2−2i200000000000000−2i2i000
χ4244-4-40-4000400000000000−2222000000−2i22i2000000000000002i−2i000
χ434-44-4-404000004i−4i0000000000022−222i2−2i2000000000000000000000
χ444-44-4-404000004i−4i00000000000−2222−2i22i2000000000000000000000
χ454-44-4-40400000−4i4i0000000000022−22−2i22i2000000000000000000000
χ464-44-4-40400000−4i4i00000000000−22222i2−2i2000000000000000000000
χ4788-8-808000-80000000000000000000000000000000000000000
χ488-88-880-80000000000000000000000000000000000000000000
χ498-8-880008-800000000000000000000000000000000000000000
χ508-8-88000-8800000000000000000000000000000000000000000

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