Finite Group Databasebeta

← Group #295367

Character table — Group #295367

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222222244444444444444444448888888822444444444444448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-1111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111-1-111-1-1-1-11111
χ511111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ611111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ711111111111111111111111-1-1-1-1-1-1-1-111111111-111-11111-1-111-1-1-1-1-1-1-1-1
χ811111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-111111111
χ9111111111111-1-11-1-1-1-1111-1111111-1-11111-1-1-1-1-11-1-11-1111-1-1-111-1-111-1-1
χ10111111111111-1-11-1-1-1-1111-1111111-1-1-1-1-1-11111-11-1-11-1-1-11-111-1-111-1-111
χ11111111111111-1-11-1-1-1-1111-11111-1-1111111-1-1-1-1-1-11-1-11-1-1-111111-1-1-1-111
χ12111111111111-1-11-1-1-1-1111-11111-1-111-1-1-1-11111-1-11-1-1111-11-1-1-1-11111-1-1
χ13111111111111-1-11-1-1-1-1111-1-1-1-1-111-1-11111-1-1-1-11-111-11-1-11-111-1-11111-1-1
χ14111111111111-1-11-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-111111-111-11111-1-1-111-1-1-1-111
χ15111111111111-1-11-1-1-1-1111-1-1-1-1-1-1-1111111-1-1-1-111-111-111-11-1-1-1-111-1-111
χ16111111111111-1-11-1-1-1-1111-1-1-1-1-1-1-111-1-1-1-1111111-111-1-1-1-111111-1-111-1-1
χ1722222222222222-2-2-2-2-2-2-2-22000022-2-20000000000000000-220000000000
χ1822222222222222-2-2-2-2-2-2-2-220000-2-22200000000000000002-20000000000
χ19222222222222-2-2-22222-2-2-2-2000022220000000000000000-2-20000000000
χ20222222222222-2-2-22222-2-2-2-20000-2-2-2-20000000000000000220000000000
χ2122222222-2-2-2-222222-2-2-2-22-222-2-2000000000000-20020000000000000000
χ2222222222-2-2-2-222222-2-2-2-22-2-2-222000000000000200-20000000000000000
χ2322222222-2-2-2-222-2-2-22222-2-2000000000000000002-20-2200000000000000
χ2422222222-2-2-2-222-2-2-22222-2-200000000000000000-2202-200000000000000
χ2522222222-2-2-2-2-2-22-2-222-2-22222-2-2000000000000200-20000000000000000
χ2622222222-2-2-2-2-2-22-2-222-2-222-2-222000000000000-20020000000000000000
χ2722222222-2-2-2-2-2-2-222-2-222-2200000000000000000220-2-200000000000000
χ2822222222-2-2-2-2-2-2-222-2-222-2200000000000000000-2-202200000000000000
χ2922-222-2-2-22-22-200-200002-2202i−2i2i−2i000000002i2i−2i−2i000000000000002-20000
χ3022-222-2-2-22-22-200-200002-2202i−2i2i−2i00000000−2i−2i2i2i00000000000000-220000
χ3122-222-2-2-22-22-200-200002-220−2i2i−2i2i000000002i2i−2i−2i00000000000000-220000
χ3222-222-2-2-22-22-200-200002-220−2i2i−2i2i00000000−2i−2i2i2i000000000000002-20000
χ3322-222-2-2-2-22-2200-20000-22202i−2i−2i2i00002i2i−2i−2i00000000000000002-2000000
χ3422-222-2-2-2-22-2200-20000-22202i−2i−2i2i0000−2i−2i2i2i0000000000000000-22000000
χ3522-222-2-2-2-22-2200-20000-2220−2i2i2i−2i00002i2i−2i−2i0000000000000000-22000000
χ3622-222-2-2-2-22-2200-20000-2220−2i2i2i−2i0000−2i−2i2i2i00000000000000002-2000000
χ372-222-2-22-22-2-220002i−2i2i−2i000000002i−2i2-2i2−i2i2−i22−22−200000000000000002−2i2−i2
χ382-222-2-22-22-2-220002i−2i2i−2i000000002i−2i2-2−i2i2−i2i2−22−220000000000000000−22−i2i2
χ392-222-2-22-22-2-220002i−2i2i−2i00000000−2i2i-22i2−i2i2−i22−22−20000000000000000−22−i2i2
χ402-222-2-22-22-2-220002i−2i2i−2i00000000−2i2i-22−i2i2−i2i2−22−2200000000000000002−2i2−i2
χ412-222-2-22-22-2-22000−2i2i−2i2i000000002i−2i-22i2−i2i2−i2−22−2200000000000000002−2−i2i2
χ422-222-2-22-22-2-22000−2i2i−2i2i000000002i−2i-22−i2i2−i2i22−22−20000000000000000−22i2−i2
χ432-222-2-22-22-2-22000−2i2i−2i2i00000000−2i2i2-2i2−i2i2−i2−22−220000000000000000−22i2−i2
χ442-222-2-22-22-2-22000−2i2i−2i2i00000000−2i2i2-2−i2i2−i2i22−22−200000000000000002−2−i2i2
χ4544-444-4-4-44-44-40040000-44-40000000000000000000000000000000000000
χ4644-444-4-4-4-44-4400400004-4-40000000000000000000000000000000000000
χ474-444-4-44-4-444-40004i−4i−4i4i0000000000000000000000000000000000000000
χ484-444-4-44-4-444-4000−4i4i4i−4i0000000000000000000000000000000000000000
χ494-44-44-4-4400004-400000000000000000000000000000002i−2i002i−2i00000000
χ504-44-44-4-4400004-40000000000000000000000000000000−2i2i00−2i2i00000000
χ514-44-44-4-440000-4400000000000000000000000000000002i−2i00−2i2i00000000
χ524-44-44-4-440000-440000000000000000000000000000000−2i2i002i−2i00000000
χ534-4-44-44-4444-4-4000000000000000000000002i2−2i2−2i22i200000000000000000000
χ544-4-44-44-4444-4-400000000000000000000000−2i22i22i2−2i200000000000000000000
χ554-4-44-44-44-4-444000000000000000000022−22−2222000000000000000000000000
χ564-4-44-44-44-4-4440000000000000000000−222222−22000000000000000000000000
χ57888-8-88-8-8000000000000000000000000000000000000000000000000000
χ5888-8-8-8-888000000000000000000000000000000000000000000000000000
χ598-8-8-8888-8000000000000000000000000000000000000000000000000000

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