Finite Group Databasebeta

← Group #296633

Character table — Group #296633

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222222244444444444444444448888888844444444444444448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-11111111-1-11-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1111-1-111111111-1-11-11-1-1-1-1-1-1-1-1-1-1-11111
χ4111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1111111-1-1-1-1
χ51111111111111111111111-1-111-1-1111111111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-111-1-1111-1-1-1-1-1-1-1-11-1-1-1-11-111-111-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-11-1-111111111-11-11-1-1111111-1-1-1-1-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-11-11-1-11-1-11-1-111111111
χ91111111111111-1-1-1-1-1-11111111-1-1-1111111-1-1-1-1-1-1-111-1-1111-1-111-1-111-1-1
χ101111111111111-1-1-1-1-1-11111111-1-1-111-1-1-1-11111-1-1-111-1-1-1-1111-1-111-1-111
χ111111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-11111-1-1-1-111-1-1111-1-1-111-1-11111-1-1
χ121111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1111111-1-111111-1-1-111-1-1-1-111
χ131111111111111-1-1-1-1-1-1111-1-11111-1111111-1-1-1-1-111-1-1-11-1-1-11111-1-1-1-111
χ141111111111111-1-1-1-1-1-1111-1-11111-111-1-1-1-11111-111-1-1-1111-1-1-1-1-11111-1-1
χ151111111111111-1-1-1-1-1-1111-1-1-1-111-1-1-11111-1-1-1-11-111-11-1111-1-1-1-111-1-111
χ161111111111111-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-111111-111-11-1-1-111111-1-111-1-1
χ17222222222222-22222-2-2-2-2-2220022-2000000000000-20-2000000000000000
χ18222222222222-22222-2-2-2-2-2-2-200-2-2-2000000000000202000000000000000
χ19222222222222-2-2-2-2-222-2-2-22200-2-2200000000000020-2000000000000000
χ20222222222222-2-2-2-2-222-2-2-2-2-200222000000000000-202000000000000000
χ2122222222-2-2-2-2222-2-222-2-22002200-2-2-20000000020000-200000000000000
χ2222222222-2-2-2-2222-2-222-2-2200-2-200-22200000000-20000200000000000000
χ2322222222-2-2-2-22-2-222-2-2-2-220022002-2-200000000-20000200000000000000
χ2422222222-2-2-2-22-2-222-2-2-2-2200-2-2002220000000020000-200000000000000
χ2522222222-2-2-2-2-222-2-2-2-222-200000020000000000020-200-20020000000000
χ2622222222-2-2-2-2-222-2-2-2-222-2000000200000000000-20200200-20000000000
χ2722222222-2-2-2-2-2-2-2222222-2000000-20000000000020200-200-20000000000
χ2822222222-2-2-2-2-2-2-2222222-2000000-200000000000-20-20020020000000000
χ2922-22-22-2-22-22-2-20000002-22002i−2i0002i−2i000022-2-2000000000000002i−2i0000
χ3022-22-22-2-22-22-2-20000002-22002i−2i0002i−2i0000-2-22200000000000000−2i2i0000
χ3122-22-22-2-22-22-2-20000002-2200−2i2i000−2i2i000022-2-200000000000000−2i2i0000
χ3222-22-22-2-22-22-2-20000002-2200−2i2i000−2i2i0000-2-222000000000000002i−2i0000
χ3322-22-22-2-2-22-22-2000000-222002i−2i000−2i2i22-2-200000000000000002i−2i000000
χ3422-22-22-2-2-22-22-2000000-222002i−2i000−2i2i-2-2220000000000000000−2i2i000000
χ3522-22-22-2-2-22-22-2000000-22200−2i2i0002i−2i22-2-20000000000000000−2i2i000000
χ3622-22-22-2-2-22-22-2000000-22200−2i2i0002i−2i-2-22200000000000000002i−2i000000
χ372-2-222-2-222-2-2202i−2i2i−2i000002-2002i−2i000i2−i2i2−i22−22−20000000000000000i2−i22−2
χ382-2-222-2-222-2-2202i−2i2i−2i000002-2002i−2i000−i2i2−i2i2−22−220000000000000000−i2i2−22
χ392-2-222-2-222-2-2202i−2i2i−2i00000-2200−2i2i000i2−i2i2−i22−22−20000000000000000−i2i2−22
χ402-2-222-2-222-2-2202i−2i2i−2i00000-2200−2i2i000−i2i2−i2i2−22−220000000000000000i2−i22−2
χ412-2-222-2-222-2-220−2i2i−2i2i000002-200−2i2i000i2−i2i2−i2−22−220000000000000000i2−i2−22
χ422-2-222-2-222-2-220−2i2i−2i2i000002-200−2i2i000−i2i2−i2i22−22−20000000000000000−i2i22−2
χ432-2-222-2-222-2-220−2i2i−2i2i00000-22002i−2i000i2−i2i2−i2−22−220000000000000000−i2i22−2
χ442-2-222-2-222-2-220−2i2i−2i2i00000-22002i−2i000−i2i2−i2i22−22−20000000000000000i2−i2−22
χ4544-44-44-4-44-44-44000000-44-40000000000000000000000000000000000000
χ4644-44-44-4-4-44-4440000004-4-40000000000000000000000000000000000000
χ474-444-4-44-444-4-40000000000000000000000022−22−222200000000000000000000
χ484-444-4-44-444-4-400000000000000000000000−222222−2200000000000000000000
χ494-444-4-44-4-4-44400000000000000000002i2−2i2−2i22i2000000000000000000000000
χ504-444-4-44-4-4-4440000000000000000000−2i22i22i2−2i2000000000000000000000000
χ514-4-444-4-44-444-404i−4i−4i4i000000000000000000000000000000000000000000
χ524-4-444-4-44-444-40−4i4i4i−4i000000000000000000000000000000000000000000
χ534-4-4-4-44440000000004-40000000000000000000000000002-202-200000000
χ544-4-4-4-44440000000004-4000000000000000000000000000-220-2200000000
χ554-4-4-4-4444000000000-440000000000000000000000000002-20-2200000000
χ564-4-4-4-4444000000000-44000000000000000000000000000-2202-200000000
χ57888-8-8-8-88000000000000000000000000000000000000000000000000000
χ5888-8-88-88-8000000000000000000000000000000000000000000000000000
χ598-88-888-8-8000000000000000000000000000000000000000000000000000

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