Finite Group Databasebeta

← Group #249084

Character table — Group #249084

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222244444444444488888888161616161616161616161616161616161616161616161616
order12222222222222224444444444444444222244444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111-1-1-1-1111111-1-1-1-1-1-11-11111-1-11-111-1-1-1-11111-1-1-1-1
χ61111111111111111-1-1-1-1111111-1-1-1-1-1-11-1-1-111-1-11-1-1-11111-1-1-1-11111
χ71111111111111111-1-1-1-1111111-1-1-1-1-1-1-1111-1-111-1111-1-1-1-1-1-1-1-11111
χ81111111111111111-1-1-1-1111111-1-1-1-1-1-1-11-1-1-1-111-11-1-111111111-1-1-1-1
χ9111111111111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1
χ10111111111111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-111-1-111-1-111
χ11111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111-1-111
χ12111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-1
χ13111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111-111-1-1111-1-1-1-1-11111-1-1-1-111
χ14111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1-1111-11111-1-1-1-11111-1-1
χ15111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-111111-1-1-11-1-1-1-111-1-11111-1-1
χ16111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-1-111-1-1-111111-1-111-1-1-1-111
χ1722222222222222222222-2-2-2-2-2-2-2-2-2-222000000000000000000000000
χ182222222222222222-2-2-2-2-2-2-2-2-2-22222-2-2000000000000000000000000
χ19222222222222-2-2-2-22222-2-2-2-222-2-222-2-2000000000000000000000000
χ20222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-222000000000000000000000000
χ2122222222-2-2-2-222-2-2000022-2-22-20000000200002-20-200000000000000
χ2222222222-2-2-2-222-2-2000022-2-22-20000000-20000-220200000000000000
χ2322222222-2-2-2-222-2-20000-2-222-2200000020002-200-2000000000000000
χ2422222222-2-2-2-222-2-20000-2-222-22000000-2000-22002000000000000000
χ2522222222-2-2-2-2-2-222000022-2-2-22000000020000-220-200000000000000
χ2622222222-2-2-2-2-2-222000022-2-2-220000000-200002-20200000000000000
χ2722222222-2-2-2-2-2-2220000-2-2222-20000002000-2200-2000000000000000
χ2822222222-2-2-2-2-2-2220000-2-2222-2000000-20002-2002000000000000000
χ2922-2-2-2-2222-2-22000022-2-22-22-2002-2000000000000002-2002-200000000
χ3022-2-2-2-2222-2-22000022-2-22-22-2002-200000000000000-2200-2200000000
χ3122-2-2-2-2222-2-22000022-2-2-22-2200-220000002-2000000002-20000000000
χ3222-2-2-2-2222-2-22000022-2-2-22-2200-22000000-2200000000-220000000000
χ3322-2-2-2-2222-2-220000-2-2222-22-200-22000000000000002-200-2200000000
χ3422-2-2-2-2222-2-220000-2-2222-22-200-2200000000000000-22002-200000000
χ3522-2-2-2-2222-2-220000-2-222-22-22002-20000002-200000000-220000000000
χ3622-2-2-2-2222-2-220000-2-222-22-22002-2000000-22000000002-20000000000
χ372-2-2-222-22-22-222-22-22-22-200000000002-200000000000000002−22−22−22−2
χ382-2-2-222-22-22-222-22-22-22-200000000002-20000000000000000−22−22−22−22
χ392-2-2-222-22-22-222-22-2-22-220000000000-2200000000000000002−22−2−22−22
χ402-2-2-222-22-22-222-22-2-22-220000000000-220000000000000000−22−222−22−2
χ412-2-2-222-22-22-22-22-222-22-20000000000-2200000000000000002−2−222−2−22
χ422-2-2-222-22-22-22-22-222-22-20000000000-220000000000000000−222−2−222−2
χ432-2-2-222-22-22-22-22-22-22-2200000000002-200000000000000002−2−22−222−2
χ442-2-2-222-22-22-22-22-22-22-2200000000002-20000000000000000−222−22−2−22
χ4544-4-4-4-444-444-4000000004-4-4400000000000000000000000000000000
χ4644-4-4-4-444-444-400000000-444-400000000000000000000000000000000
χ474-444-4-4-4444-4-400000000000000004i−4i00000000000000000000000000
χ484-444-4-4-4444-4-40000000000000000−4i4i00000000000000000000000000
χ494-444-4-4-44-4-44400004-4-44000000000000000000000000000000000000
χ504-444-4-4-44-4-4440000-444-4000000000000000000000000000000000000
χ514-4-4-444-444-44-44-4-440000000000000000000000000000000000000000
χ524-4-4-444-444-44-4-444-40000000000000000000000000000000000000000
χ53888-88-8-8-8000000000000000000000000000000000000000000000000
χ5488-88-88-8-8000000000000000000000000000000000000000000000000
χ558-88-8-888-8000000000000000000000000000000000000000000000000
χ568-8-888-88-8000000000000000000000000000000000000000000000000

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