Finite Group Databasebeta

← Group #321739

Character table — Group #321739

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111112222222244444488888888888888888816161616161616161616161632323232
order12222222444444444488884444444488888888884488888888882444
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1
χ9111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11-11-1
χ10111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-11-11
χ11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-11-11
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111-11-1
χ13111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111-1-11
χ14111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-111-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1-111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-11111-1-1-1-11-1-11
χ17222222222-2-2-2222-2-2-2000022-2-222-2-200000000002-200000000000000
χ18222222222-2-2-2222-2-2-2000022-2-2-2-2220000000000-2200000000000000
χ19222222222-2-2-2222-2-2-20000-2-22222-2-20000000000-2200000000000000
χ20222222222-2-2-2222-2-2-20000-2-222-2-22200000000002-200000000000000
χ2122222222-2222-2-2-22-2-222222-22-2000022-2-2-2-200000000000000000000
χ2222222222-2222-2-2-22-2-22222-22-220000-2-222-2-200000000000000000000
χ2322222222-2222-2-2-22-2-2-2-2-2-22-22-20000-2-2222200000000000000000000
χ2422222222-2222-2-2-22-2-2-2-2-2-2-22-22000022-2-22200000000000000000000
χ2522222222-2-2-2-2-2-2-2-22200002-2-2200000000002i2i−2i−2i00000000002i−2i0000
χ2622222222-2-2-2-2-2-2-2-22200002-2-220000000000−2i−2i2i2i0000000000−2i2i0000
χ2722222222-2-2-2-2-2-2-2-2220000-222-200000000002i2i−2i−2i0000000000−2i2i0000
χ2822222222-2-2-2-2-2-2-2-2220000-222-20000000000−2i−2i2i2i00000000002i−2i0000
χ292-2-2-2-222222-2-2-2-2222-222-2-20000000000002-200000000002-22-2000000
χ302-2-2-2-222222-2-2-2-2222-222-2-20000000000002-20000000000-22-22000000
χ312-2-2-2-222222-2-2-2-2222-2-2-222000000000000-2200000000002-2-22000000
χ322-2-2-2-222222-2-2-2-2222-2-2-222000000000000-220000000000-222-2000000
χ332-2-2-2-2222-22-2-222-22-2222-2-2000000000000-220000002-22-20000000000
χ342-2-2-2-2222-22-2-222-22-2222-2-2000000000000-22000000-22-220000000000
χ352-2-2-2-2222-22-2-222-22-22-2-2220000000000002-20000002-2-220000000000
χ362-2-2-2-2222-22-2-222-22-22-2-2220000000000002-2000000-222-20000000000
χ37444-4-44-4-4044-4000-4004-44-40000000000000000000000000000000000
χ38444-4-44-4-4044-4000-400-44-440000000000000000000000000000000000
χ39444-4-44-4-40-4-440004000000000000004i−4i000000000000000000000000
χ40444-4-44-4-40-4-44000400000000000000−4i4i000000000000000000000000
χ4144-44-4-4-4440004-4-4000000000004i−4i0000000000000000000000000000
χ4244-44-4-4-4440004-4-400000000000−4i4i0000000000000000000000000000
χ4344-44-4-4-44-4000-44400000000000004-400000000000000000000000000
χ4444-44-4-4-44-4000-4440000000000000-4400000000000000000000000000
χ454-44-44-4-444000-44-40000000000000000000002i2−2i22i2−2i20000000000000000
χ464-44-44-4-444000-44-4000000000000000000000−2i22i2−2i22i20000000000000000
χ474-44-44-4-44-40004-4400000000000000000000022−22−22220000000000000000
χ484-44-44-4-44-40004-44000000000000000000000−222222−220000000000000000
χ494-4-4444-4-404-44000-4004-4-440000000000000000000000000000000000
χ504-4-4444-4-404-44000-400-444-40000000000000000000000000000000000
χ514-4-4444-4-40-44-4000400000000000000004i−4i0000000000000000000000
χ524-4-4444-4-40-44-400040000000000000000−4i4i0000000000000000000000
χ534-4-4-4-44444-444-4-44-4-4400000000000000000000000000000000000000
χ544-4-4-4-4444-4-44444-4-44-400000000000000000000000000000000000000
χ5588-8-88-88-8000000000000000000000000000000000000000000000000
χ568-888-8-88-8000000000000000000000000000000000000000000000000

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