Finite Group Databasebeta

← Group #254666

Character table — Group #254666

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222244444444444488888888161616161616161616161616161616161616161616161616
order12222222222222224444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-1-1
χ61111111111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-11111
χ71111111111111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-11111
χ81111111111111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1
χ9111111111111-1-1-1-111111111-1-1-1-111-1-11-111-1-11-11111-1-1-1-111-1-111-1-1
χ10111111111111-1-1-1-111111111-1-1-1-111-1-11-111-1-11-1-1-1-1-11111-1-111-1-111
χ11111111111111-1-1-1-111111111-1-1-1-111-1-1-11-1-111-111111-1-1-1-1-1-111-1-111
χ12111111111111-1-1-1-111111111-1-1-1-111-1-1-11-1-111-11-1-1-1-1111111-1-111-1-1
χ13111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-1-1111-111-1-1-1-11111-1-1-1-111
χ14111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-1-1111-1-1-11111-1-1-1-11111-1-1
χ15111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1111-1-1-1111-1-1-1-111-1-11111-1-1
χ16111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1111-1-1-11-1-11111-1-111-1-1-1-111
χ1722222222222222222222-2-2-2-222-2-2-2-2-2-2000000000000000000000000
χ182222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000
χ19222222222222-2-2-2-22222-2-2-2-2-2-222-2-222000000000000000000000000
χ20222222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2000000000000000000000000
χ2122222222-2-2-2-2000022-2-222-2-200002-20002002-20-20000000000000000
χ2222222222-2-2-2-2000022-2-222-2-200002-2000-200-22020000000000000000
χ2322222222-2-2-2-2000022-2-2-2-2220000-2200202-200-200000000000000000
χ2422222222-2-2-2-2000022-2-2-2-2220000-2200-20-2200200000000000000000
χ2522222222-2-2-2-20000-2-22222-2-20000-22000200-220-20000000000000000
χ2622222222-2-2-2-20000-2-22222-2-20000-22000-2002-2020000000000000000
χ2722222222-2-2-2-20000-2-222-2-22200002-20020-2200-200000000000000000
χ2822222222-2-2-2-20000-2-222-2-22200002-200-202-200200000000000000000
χ292222-2-2-2-222-2-222-2-22-22-200002-200000000000000000000002−22−22−22−2
χ302222-2-2-2-222-2-222-2-22-22-200002-20000000000000000000000−22−22−22−22
χ312222-2-2-2-222-2-222-2-2-22-220000-2200000000000000000000002−22−2−22−22
χ322222-2-2-2-222-2-222-2-2-22-220000-220000000000000000000000−22−222−22−2
χ332222-2-2-2-222-2-2-2-2222-22-20000-2200000000000000000000002−2−222−2−22
χ342222-2-2-2-222-2-2-2-2222-22-20000-220000000000000000000000−222−2−222−2
χ352222-2-2-2-222-2-2-2-222-22-2200002-200000000000000000000002−2−22−222−2
χ362222-2-2-2-222-2-2-2-222-22-2200002-20000000000000000000000−222−22−2−22
χ372-2-22-222-22-22-22-22-200002-22-2002-2000000000000002i−2i002i−2i00000000
χ382-2-22-222-22-22-22-22-200002-22-2002-200000000000000−2i2i00−2i2i00000000
χ392-2-22-222-22-22-22-22-20000-22-2200-220000000000002i−2i002i−2i0000000000
χ402-2-22-222-22-22-22-22-20000-22-2200-22000000000000−2i2i00−2i2i0000000000
χ412-2-22-222-22-22-2-22-2200002-22-200-22000000000000002i−2i00−2i2i00000000
χ422-2-22-222-22-22-2-22-2200002-22-200-2200000000000000−2i2i002i−2i00000000
χ432-2-22-222-22-22-2-22-220000-22-22002-20000000000002i−2i00−2i2i0000000000
χ442-2-22-222-22-22-2-22-220000-22-22002-2000000000000−2i2i002i−2i0000000000
χ454444-4-4-4-4-4-44400004-4-44000000000000000000000000000000000000
χ464444-4-4-4-4-4-4440000-444-4000000000000000000000000000000000000
χ474-4-444-4-444-4-444-4-440000000000000000000000000000000000000000
χ484-4-444-4-444-4-44-444-40000000000000000000000000000000000000000
χ494-4-444-4-44-444-40000000000000000004i−4i000000000000000000000000
χ504-4-444-4-44-444-4000000000000000000−4i4i000000000000000000000000
χ514-4-44-444-4-44-44000000004-4-4400000000000000000000000000000000
χ524-4-44-444-4-44-4400000000-444-400000000000000000000000000000000
χ5388-8-888-8-8000000000000000000000000000000000000000000000000
χ5488-8-8-8-888000000000000000000000000000000000000000000000000
χ558-88-88-88-8000000000000000000000000000000000000000000000000
χ568-88-8-88-88000000000000000000000000000000000000000000000000

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