Finite Group Databasebeta

← Group #101033

Character table — Group #101033

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222224444448888888888161616161616161616161616161616161616161616161616
order12222222222244444444444444444444222244448888888888888888
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
χ51111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ9111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i
χ10111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii
χ11111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iii
χ12111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i
χ13111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii
χ14111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i
χ15111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i
χ16111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii
χ17222222222222222222-2-2-2-22222-2-2-2-2-2-2000000000000000000000000
χ18222222222222222222-2-2-2-2-2-2-2-2-2-22222000000000000000000000000
χ19222222222222-2-2-2-2-2-2222222-2-2-2-2-2-222000000000000000000000000
χ20222222222222-2-2-2-2-2-22222-2-222-2-222-2-2000000000000000000000000
χ2122222222-2-2-2-22222-2-22-22-200002-200000000000000002-22-200000000
χ2222222222-2-2-2-22222-2-22-22-200002-20000000000000000-22-2200000000
χ2322222222-2-2-2-22222-2-2-22-220000-220000000000002-22-2000000000000
χ2422222222-2-2-2-22222-2-2-22-220000-22000000000000-22-22000000000000
χ2522222222-2-2-2-2-2-2-2-2222-22-20000-220000000000002i−2i−2i2i000000000000
χ2622222222-2-2-2-2-2-2-2-2222-22-20000-22000000000000−2i2i2i−2i000000000000
χ2722222222-2-2-2-2-2-2-2-222-22-2200002-200000000000000002i−2i−2i2i00000000
χ2822222222-2-2-2-2-2-2-2-222-22-2200002-20000000000000000−2i2i2i−2i00000000
χ292-2-2222-2-22-2-2222-2-22-200002-22-20000000000000000000000i2−i2i2−i2i2−i2i2−i2
χ302-2-2222-2-22-2-2222-2-22-200002-22-20000000000000000000000−i2i2−i2i2−i2i2−i2i2
χ312-2-2222-2-22-2-2222-2-22-20000-22-220000000000000000000000i2−i2i2−i2−i2i2−i2i2
χ322-2-2222-2-22-2-2222-2-22-20000-22-220000000000000000000000−i2i2−i2i2i2−i2i2−i2
χ332-2-2222-2-22-2-22-2-222-2200002-2-2200000000000000000000002−2−222−2−22
χ342-2-2222-2-22-2-22-2-222-2200002-2-220000000000000000000000−222−2−222−2
χ352-2-2222-2-22-2-22-2-222-220000-222-200000000000000000000002−2−22−222−2
χ362-2-2222-2-22-2-22-2-222-220000-222-20000000000000000000000−222−22−2−22
χ374444-4-4-4-400004-44-4000000000000000000002i−2i2i−2i0000000000000000
χ384444-4-4-4-400004-44-400000000000000000000−2i2i−2i2i0000000000000000
χ394444-4-4-4-40000-44-44000000000000000000002i−2i−2i2i0000000000000000
χ404444-4-4-4-40000-44-4400000000000000000000−2i2i2i−2i0000000000000000
χ4144-4-44-44-444-4-40000000000000000004i−4i000000000000000000000000
χ4244-4-44-44-444-4-4000000000000000000−4i4i000000000000000000000000
χ4344-4-44-44-4-4-44400000000000000004-400000000000000000000000000
χ4444-4-44-44-4-4-4440000000000000000-4400000000000000000000000000
χ454-44-44-4-444-44-400000044-4-40000000000000000000000000000000000
χ464-44-44-4-444-44-4000000-4-4440000000000000000000000000000000000
χ474-44-44-4-44-44-440000004-4-440000000000000000000000000000000000
χ484-44-44-4-44-44-44000000-444-40000000000000000000000000000000000
χ494-4-4444-4-4-444-444-4-4-4400000000000000000000000000000000000000
χ504-4-4444-4-4-444-4-4-4444-400000000000000000000000000000000000000
χ514-4-44-4-44400004-4-4400000000000000002-22-200000000000000000000
χ524-4-44-4-44400004-4-440000000000000000-22-2200000000000000000000
χ534-4-44-4-4440000-444-400000000000000002-2-2200000000000000000000
χ544-4-44-4-4440000-444-40000000000000000-222-200000000000000000000
χ5588-8-8-88-88000000000000000000000000000000000000000000000000
χ568-88-8-888-8000000000000000000000000000000000000000000000000

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