Finite Group Databasebeta

← Group #503445

Character table — Group #503445

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122224444444444488888888888888816161616161616161616161616161616163232
order12222244222222224444444444444444444444444444444888844
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111-1-1111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-111-1-1-1-111-1-1111-1-1-1-1-1-1-1-1-1-111
χ4111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1
χ5111111111-1-1-1-1111111111-1-11111-1-1-1-1-1-111-1-111-1111111-1-1-1-1-1-1
χ6111111111-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ7111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-11111-1-1
χ8111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-11111-1-1-1-111
χ9111111-1-111111111-111-1-1-1-1-111-1-11111-1-11-11-11-1-11-111-1-111-1-11-1
χ10111111-1-111111111-111-1-1-1-1-111-1-11111-1-1-111-1-11-11-1-1-111-1-111-11
χ11111111-1-111111111-111-1-1-1-1-1-1-11111-1-1111-1-111-1-1-11-1-111-1-1111-1
χ12111111-1-111111111-111-1-1-1-1-1-1-11111-1-111-11-11-11-1-1111-1-111-1-1-11
χ13111111-1-11-1-1-1-1111-111-1-1-11111-1-1-1-1-1-1111-1-111-111-111-1-1-1-111-11
χ14111111-1-11-1-1-1-1111-111-1-1-11111-1-1-1-1-1-111-11-11-1111-1-1-11111-1-11-1
χ15111111-1-11-1-1-1-1111-111-1-1-111-1-111-1-111-1-11-11-11-11-11-1-11111-1-1-11
χ16111111-1-11-1-1-1-1111-111-1-1-111-1-111-1-111-1-1-111-1-111-1111-1-1-1-1111-1
χ172222222222222-2-222-2-2-22-2220000-2-20000000000-2000000000000
χ18222222222-2-2-2-2-2-222-2-2-22-2-2-200002200000000002000000000000
χ1922222222-2000022-22-2-2-2-220022220000000000000-2-20000000000
χ2022222222-2000022-22-2-2-2-2200-2-2-2-20000000000000220000000000
χ2122222222-20000-2-2-22222-2-200000000222200-2-2000000000000000
χ2222222222-20000-2-2-22222-2-200000000-2-2-2-20022000000000000000
χ23222222-2-222222-2-22-2-2-22-22-2-20000-2-200000000002000000000000
χ24222222-2-22-2-2-2-2-2-22-2-2-22-22220000220000000000-2000000000000
χ25222222-2-2-2000022-2-2-2-222-20022-2-20000000000000-220000000000
χ26222222-2-2-2000022-2-2-2-222-200-2-22200000000000002-20000000000
χ27222222-2-2-20000-2-2-2-222-2220000000022-2-200-22000000000000000
χ28222222-2-2-20000-2-2-2-222-22200000000-2-222002-2000000000000000
χ292-22-2-2200222-2-22-2-202-20000000002-20000000000000002i−2i002i−2i00
χ302-22-2-2200222-2-22-2-202-20000000002-2000000000000000−2i2i00−2i2i00
χ312-22-2-2200222-2-2-22-20-22000000000-2200000000000002i−2i002i−2i0000
χ322-22-2-2200222-2-2-22-20-22000000000-220000000000000−2i2i00−2i2i0000
χ332-22-2-22002-2-2222-2-202-2000000000-220000000000000002i−2i00−2i2i00
χ342-22-2-22002-2-2222-2-202-2000000000-22000000000000000−2i2i002i−2i00
χ352-22-2-22002-2-222-22-20-220000000002-200000000000002i−2i00−2i2i0000
χ362-22-2-22002-2-222-22-20-220000000002-20000000000000−2i2i002i−2i0000
χ374444-4-44400000000-4000000000000000002200-2-20000000000000
χ384444-4-44400000000-400000000000000000-2-200220000000000000
χ394444-4-4-4-4000000004000000000000000002-200-220000000000000
χ404444-4-4-4-400000000400000000000000000-22002-20000000000000
χ414-44-4-4400-400004-440-440000000000000000000000000000000000
χ424-44-4-4400-40000-44404-40000000000000000000000000000000000
χ434-4-44004-402-22-20000000002-22i−2i2i−2i002i−2i2i−2i0000000000000000000
χ444-4-44004-402-22-20000000002-2−2i2i−2i2i00−2i2i−2i2i0000000000000000000
χ454-4-44004-40-22-22000000000-222i−2i2i−2i00−2i2i−2i2i0000000000000000000
χ464-4-44004-40-22-22000000000-22−2i2i−2i2i002i−2i2i−2i0000000000000000000
χ474-4-4400-4402-22-2000000000-222i−2i−2i2i002i−2i−2i2i0000000000000000000
χ484-4-4400-4402-22-2000000000-22−2i2i2i−2i00−2i2i2i−2i0000000000000000000
χ494-4-4400-440-22-220000000002-22i−2i−2i2i00−2i2i2i−2i0000000000000000000
χ504-4-4400-440-22-220000000002-2−2i2i2i−2i002i−2i−2i2i0000000000000000000
χ5188-8-8000004-4-440000000000000000000000000000000000000000
χ5288-8-800000-444-40000000000000000000000000000000000000000
χ538-88-88-800000000000000000000000000000000000000000000000

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