Finite Group Databasebeta

← Group #273087

Character table — Group #273087

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222222244444444442244444448888888822224444444444448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1111-1-1111111111-1-1-1-1-1-1-1-1-11-11111-1-1-1-1
χ4111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1111-1-1-1-1-11111
χ51111111111111111111111-1-1111-1-11111111111-11-1-11-1-1-1-1-1-1-1-1-1-1-11111
χ61111111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-11111-1-1-111-1-11111-1-1-1-1
χ71111111111111111111111-1-1-1-11-1-1-1-111111111-1-111-111111-11-1-1-1-1-1-1-1-1
χ81111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1111111111
χ91111111111111-1-1-1-1-1-11111111-111-1-11111-1-1-1-1-1-111111-1-1-1-1-111-1-111-1-1
χ101111111111111-1-1-1-1-1-11111111-111-1-1-1-1-1-11111-1-1-1-1111-111-1-1-1-111-1-111
χ111111111111111-1-1-1-1-1-111111-1-1-111111111-1-1-1-1-11-1-1-1-1-1111-1111-1-1-1-111
χ121111111111111-1-1-1-1-1-111111-1-1-11111-1-1-1-11111-1111-1-1-11-1-1-11-1-11111-1-1
χ131111111111111-1-1-1-1-1-1111-1-111-1-1-1-1-11111-1-1-1-11-1-1-11-1-111111-1-11111-1-1
χ141111111111111-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-111111-1111-1-11-1-11111-1-1-1-111
χ151111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1111111-1-1-1-11111-111-1-1-11-1-1-111-1-111
χ161111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-111-1-1-1-1111111-1-1-111-1111-111-1-111-1-1
χ17222222222222-22222-2-2-2-2-20022-20022000000000-200-2000000000000000
χ18222222222222-22222-2-2-2-2-200-2-2-200-2-20000000002002000000000000000
χ19222222222222-2-2-2-2-222-2-2-20022200-2-2000000000200-2000000000000000
χ20222222222222-2-2-2-2-222-2-2-200-2-220022000000000-2002000000000000000
χ2122222222-2-2-2-2222-2-222-2-220000-2000000000000000002-2-2000200000000
χ2222222222-2-2-2-2222-2-222-2-220000-200000000000000000-222000-200000000
χ2322222222-2-2-2-22-2-222-2-2-2-2200002000000000000000002-22000-200000000
χ2422222222-2-2-2-22-2-222-2-2-2-220000200000000000000000-22-2000200000000
χ2522222222-2-2-2-2-222-2-2-2-222-222002-2-200000000002000000000-2000000000
χ2622222222-2-2-2-2-222-2-2-2-222-2-2-2002220000000000-20000000002000000000
χ2722222222-2-2-2-2-2-2-2222222-22200-2-2-20000000000-20000000002000000000
χ2822222222-2-2-2-2-2-2-2222222-2-2-200-22200000000002000000000-2000000000
χ2922-22-2-22-222-2-202-22-200000002i−2i0002i−2ii2i2−i2−i2i2i2−i2−i200000000000000002−22−2
χ3022-22-2-22-222-2-202-22-200000002i−2i0002i−2i−i2−i2i2i2−i2−i2i2i20000000000000000−22−22
χ3122-22-2-22-222-2-202-22-20000000−2i2i000−2i2ii2i2−i2−i2i2i2−i2−i20000000000000000−22−22
χ3222-22-2-22-222-2-202-22-20000000−2i2i000−2i2i−i2−i2i2i2−i2−i2i2i200000000000000002−22−2
χ3322-22-2-22-222-2-20-22-2200000002i−2i000−2i2ii2i2−i2−i2−i2−i2i2i200000000000000002−2−22
χ3422-22-2-22-222-2-20-22-2200000002i−2i000−2i2i−i2−i2i2i2i2i2−i2−i20000000000000000−222−2
χ3522-22-2-22-222-2-20-22-220000000−2i2i0002i−2ii2i2−i2−i2−i2−i2i2i20000000000000000−222−2
χ3622-22-2-22-222-2-20-22-220000000−2i2i0002i−2i−i2−i2i2i2i2i2−i2−i200000000000000002−2−22
χ372-2-2-22-2222-22-220000002-2-22-20002-2002i−2i2i−2i00000000000000002i−2i000000
χ382-2-2-22-2222-22-220000002-2-22-20002-200−2i2i−2i2i0000000000000000−2i2i000000
χ392-2-2-22-2222-22-220000002-2-2-22000-22002i−2i2i−2i0000000000000000−2i2i000000
χ402-2-2-22-2222-22-220000002-2-2-22000-2200−2i2i−2i2i00000000000000002i−2i000000
χ412-2-2-22-222-22-22-20000002-222-2000-220000002-22-2000000000000002-20000
χ422-2-2-22-222-22-22-20000002-222-2000-22000000-22-2200000000000000-220000
χ432-2-2-22-222-22-22-20000002-22-220002-20000002-22-200000000000000-220000
χ442-2-2-22-222-22-22-20000002-22-220002-2000000-22-22000000000000002-20000
χ45444-44-4-4-40000000004i−4i00000000000000000000002-200002i−2i0000000000
χ46444-44-4-4-40000000004i−4i0000000000000000000000-220000−2i2i0000000000
χ47444-44-4-4-4000000000−4i4i00000000000000000000002-20000−2i2i0000000000
χ48444-44-4-4-4000000000−4i4i0000000000000000000000-2200002i−2i0000000000
χ4944-44-4-44-4-4-44404-4-44000000000000000000000000000000000000000000
χ5044-44-4-44-4-4-4440-444-4000000000000000000000000000000000000000000
χ514-44-4-444-44-4-44000000000000000000022−22−2222000000000000000000000000
χ524-44-4-444-44-4-440000000000000000000−222222−22000000000000000000000000
χ534-44-4-444-4-444-4000000000000000000000002i2−2i2−2i22i200000000000000000000
χ544-44-4-444-4-444-400000000000000000000000−2i22i22i2−2i200000000000000000000
χ554-4-4-44-4444-44-4-4000000-4440000000000000000000000000000000000000
χ564-4-4-44-444-44-444000000-44-40000000000000000000000000000000000000
χ5788-8-8-88-88000000000000000000000000000000000000000000000000000
χ588-888-8-8-88000000000000000000000000000000000000000000000000000
χ598-8-8888-8-8000000000000000000000000000000000000000000000000000

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