Finite Group Databasebeta

← Group #285510

Character table — Group #285510

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222244444488888888888888816161616161616161616161616161616323232
order12224444442444442448888888888882444448888888888488
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-1-1-1-11111-1-1-1111-111-1-1-1-1-1
χ3111111111111111111111-1-1111111111-1-1-1-1111-1-1-1111-1-1-1-1-1
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
χ61111111111111111111-1-111-1-1-1-1-1-1-1-11-1-1-1-111-11111-1-1-1-11-11
χ71111111111111111111-1-1-1-1-1-1111111-11111-1-11-1-1-1-1-1-1-1-11-11
χ81111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-1-111-11-1
χ911111111111-1-1111-1-1-111111111-1-1-1-111-1-111-111-1-1-1-1-1-1-111-1
χ1011111111111-1-1111-1-1-1111111-1-11111-11-1-11-11-11-1-11-1-111-1-11
χ1111111111111-1-1111-1-1-111-1-11111-1-1-1-11-111-11-11-111-1-1-111-1-11
χ1211111111111-1-1111-1-1-111-1-111-1-11111-1-111-1-11-1-1111-1-1-1-111-1
χ1311111111111-1-1111-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1111-1-1111-1-1-111
χ1411111111111-1-1111-1-1-1-1-111-1-1-1-111111-111-11-1-11-1-1-111111-1-1
χ1511111111111-1-1111-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-11-111-111111111-1-1
χ1611111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-111-111-1-1-111
χ17222222-2-222-222-22-2-22-20000002222-2-20000000-200000000000
χ18222222-2-222-222-22-2-22-2000000-2-2-2-2220000000200000000000
χ19222222-2-222-2-2-2-22-22-2200000022-2-2220000000-200000000000
χ20222222-2-222-2-2-2-22-22-22000000-2-222-2-20000000200000000000
χ2122222-2222-2-222-2-222-2-200000000000020000-220000-20000000
χ2222222-2222-2-222-2-222-2-2000000000000-200002-2000020000000
χ2322222-2222-2-2-2-2-2-22-22200000000000020000-2-2000020000000
χ2422222-2222-2-2-2-2-2-22-222000000000000-20000220000-20000000
χ2522222-2-2-22-22222-2-2-2-222i−2i002i−2i0000000000000000002i−2i00000
χ2622222-2-2-22-22222-2-2-2-22−2i2i00−2i2i000000000000000000−2i2i00000
χ2722222-2-2-22-22-2-22-2-222-22i−2i002i−2i000000000000000000−2i2i00000
χ2822222-2-2-22-22-2-22-2-222-2−2i2i00−2i2i0000000000000000002i−2i00000
χ292222-2222-22-2002-2-20002222-2-20000000-2002000-20000000000
χ302222-2222-22-2002-2-200022-2-2-2-20000000200-200020000000000
χ312222-2222-22-2002-2-2000-2-222220000000200-2000-20000000000
χ322222-2222-22-2002-2-2000-2-2-2-2220000000-200200020000000000
χ332222-2-2-2-2-2-2-2002220002i−2i00−2i2i000000002-2000002i−2i00000000
χ342222-2-2-2-2-2-2-2002220002i−2i00−2i2i00000000-2200000−2i2i00000000
χ352222-2-2-2-2-2-2-200222000−2i2i002i−2i000000002-200000−2i2i00000000
χ362222-2-2-2-2-2-2-200222000−2i2i002i−2i00000000-22000002i−2i00000000
χ374444-44-4-4-44400-4-440000000000000000000000000000000000
χ384444-4-444-4-4400-44-40000000000000000000000000000000000
χ394-44-4-40004004i−4i00000000000022−222i2−2i2000000000000000000000
χ404-44-4-40004004i−4i000000000000−2222−2i22i2000000000000000000000
χ414-44-4-4000400−4i4i00000000000022−22−2i22i2000000000000000000000
χ424-44-4-4000400−4i4i000000000000−22222i2−2i2000000000000000000000
χ434-4-4404000-40000000000022−220000002i2−2i2000000000000002i−2i000
χ444-4-4404000-40000000000022−22000000−2i22i200000000000000−2i2i000
χ454-4-4404000-400000000000−22220000002i2−2i200000000000000−2i2i000
χ464-4-4404000-400000000000−2222000000−2i22i2000000000000002i−2i000
χ4788-8-8008-8000000000000000000000000000000000000000000
χ4888-8-800-88000000000000000000000000000000000000000000
χ498-88-88000-800000000000000000000000000000000000000000
χ508-8-880-800080000000000000000000000000000000000000000

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