Finite Group Databasebeta

← Group #273170

Character table — Group #273170

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222222244444444442244444448888888824444444444444448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-111111111-1-1-11-1-1-1-11-1-1-11111-1-1-1-1
χ4111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-111-1-1-1-11111
χ51111111111111111111111-1-11-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ61111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1
χ71111111111111111111111-1-11-1-1-1-1-1-111111111-1-11-11111-1111-1-1-1-1-1-1-1-1
χ81111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-11-1-111111111
χ9111111111111-1-1-1-1-1-1111111-11111-1-11111-1-1-1-11-1-1-11-111-11-1-111-1-111-1-1
χ10111111111111-1-1-1-1-1-1111111-11111-1-1-1-1-1-111111-1-1-11-1-1-1-1111-1-111-1-111
χ11111111111111-1-1-1-1-1-1111111-111-1-1111111-1-1-1-1-111-1-11-1-1-1-11111-1-1-1-111
χ12111111111111-1-1-1-1-1-1111111-111-1-111-1-1-1-11111-111-1-1111-1-1-1-1-1-11111-1-1
χ13111111111111-1-1-1-1-1-11111-1-1-1-1-111-1-11111-1-1-1-11-111-11-1-11-111-1-11111-1-1
χ14111111111111-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-111111-111-11111-1-1-111-1-1-1-111
χ15111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-1-11-111-11111-1-1-1-111-1-111
χ16111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-11111-11-111-1-1-1111111-1-111-1-1
χ1722222222222222-2-2-2-2-2-2-2-20020022-2-200000000-22000000000000000000
χ1822222222222222-2-2-2-2-2-2-2-200200-2-222000000002-2000000000000000000
χ19222222222222-2-22222-2-2-2-200-200222200000000-2-2000000000000000000
χ20222222222222-2-22222-2-2-2-200-200-2-2-2-20000000022000000000000000000
χ2122222222-2-2-2-22222-2-22-2-2200-20000000000000000202-2000-20000000000
χ2222222222-2-2-2-22222-2-22-2-2200-20000000000000000-20-2200020000000000
χ2322222222-2-2-2-222-2-222-222-222-2-2-200000000000000020000-200000000000
χ2422222222-2-2-2-222-2-222-222-2-2-2-222000000000000000-20000200000000000
χ2522222222-2-2-2-2-2-222-2-2-222-2222-2-2000000000000000-20000200000000000
χ2622222222-2-2-2-2-2-222-2-2-222-2-2-222200000000000000020000-200000000000
χ2722222222-2-2-2-2-2-2-2-2222-2-22002000000000000000020-2-200020000000000
χ2822222222-2-2-2-2-2-2-2-2222-2-220020000000000000000-2022000-20000000000
χ292-22-222-2-22-22-2002i−2i2i−2i0000000002i−2i2-2i2i2−i2−i222−2−200000000000000002−2i2−i2
χ302-22-222-2-22-22-2002i−2i2i−2i0000000002i−2i2-2−i2−i2i2i2−2−2220000000000000000−22−i2i2
χ312-22-222-2-22-22-2002i−2i2i−2i000000000−2i2i-22i2i2−i2−i222−2−20000000000000000−22−i2i2
χ322-22-222-2-22-22-2002i−2i2i−2i000000000−2i2i-22−i2−i2i2i2−2−22200000000000000002−2i2−i2
χ332-22-222-2-22-22-200−2i2i−2i2i0000000002i−2i-22i2i2−i2−i2−2−22200000000000000002−2−i2i2
χ342-22-222-2-22-22-200−2i2i−2i2i0000000002i−2i-22−i2−i2i2i222−2−20000000000000000−22i2−i2
χ352-22-222-2-22-22-200−2i2i−2i2i000000000−2i2i2-2i2i2−i2−i2−2−2220000000000000000−22i2−i2
χ362-22-222-2-22-22-200−2i2i−2i2i000000000−2i2i2-2−i2−i2i2i222−2−200000000000000002−2−i2i2
χ372-2-2-22-22222-2-200000022-2-22-202-200002i−2i2i−2i00000000000000002i−2i000000
χ382-2-2-22-22222-2-200000022-2-22-202-20000−2i2i−2i2i0000000000000000−2i2i000000
χ392-2-2-22-22222-2-200000022-2-2-220-2200002i−2i2i−2i0000000000000000−2i2i000000
χ402-2-2-22-22222-2-200000022-2-2-220-220000−2i2i−2i2i00000000000000002i−2i000000
χ412-2-2-22-222-2-222000000-22-222-20-22000000002-22-2000000000000002-20000
χ422-2-2-22-222-2-222000000-22-222-20-2200000000-22-2200000000000000-220000
χ432-2-2-22-222-2-222000000-22-22-2202-2000000002-22-200000000000000-220000
χ442-2-2-22-222-2-222000000-22-22-2202-200000000-22-22000000000000002-20000
χ4544-444-4-4-44-4-44000000000000000000022−22−2222000000000000000000000000
χ4644-444-4-4-44-4-440000000000000000000−222222−22000000000000000000000000
χ4744-444-4-4-4-444-40000000000000000000000022−22−222200000000000000000000
χ4844-444-4-4-4-444-400000000000000000000000−222222−2200000000000000000000
χ494-444-4-4-4400004i−4i00000000000000000000000000000002i−2i002-200000000
χ504-444-4-4-4400004i−4i0000000000000000000000000000000−2i2i00-2200000000
χ514-444-4-4-440000−4i4i00000000000000000000000000000002i−2i00-2200000000
χ524-444-4-4-440000−4i4i0000000000000000000000000000000−2i2i002-200000000
χ534-44-444-4-4-44-44004i−4i−4i4i00000000000000000000000000000000000000000
χ544-44-444-4-4-44-4400−4i4i4i−4i00000000000000000000000000000000000000000
χ554-4-4-44-44444-4-4000000-4-4440000000000000000000000000000000000000
χ564-4-4-44-444-4-4440000004-44-40000000000000000000000000000000000000
χ57888-8-8-88-8000000000000000000000000000000000000000000000000000
χ5888-8-8-88-88000000000000000000000000000000000000000000000000000
χ598-8-88-888-8000000000000000000000000000000000000000000000000000

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