Finite Group Databasebeta

← Group #273065

Character table — Group #273065

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222222244444444444444444448888888824444444444444448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-111111111111-1-11-1-1-1-11-1-1-1-1-1-1-1-11111
χ4111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-11-111-11-1-1111111-1-1-1-1
χ51111111111111111111111-1-111111-1-1111111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-1
χ61111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-11-1-1-111-1-1-1111-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-11-1-111111111-11-11111-11-111-1-1-1-1-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-11-11-1-11-11-1-1-111111111
χ9111111111111-1-1-1-11-1-1111111111-1-1-11111-1-1-1-1-111111-1-1-1-1-1-111-1-111-1-1
χ10111111111111-1-1-1-11-1-1111111111-1-1-1-1-1-1-11111-1111-1-1-1-1-1-111-1-111-1-111
χ11111111111111-1-1-1-11-1-111111-1-1-1-1-1-1-11111-1-1-1-11-11-1-1-11-11111-1-11111-1-1
χ12111111111111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-111111-11-1111-111-1-111-1-1-1-111
χ13111111111111-1-1-1-11-1-1111-1-11111-1111111-1-1-1-1-1-1-1-1-1-1111-11111-1-1-1-111
χ14111111111111-1-1-1-11-1-1111-1-11111-111-1-1-1-11111-1-1-1-111111-1-1-1-1-11111-1-1
χ15111111111111-1-1-1-11-1-1111-1-1-1-1-1-1-1111111-1-1-1-111-1111-11-11-1-1-1-111-1-111
χ16111111111111-1-1-1-11-1-1111-1-1-1-1-1-1-111-1-1-1-1111111-11-1-1-11-111111-1-111-1-1
χ172222222222222222-2-2-2-2-2-2220000-2220000000000-20000-2000000000000
χ182222222222222222-2-2-2-2-2-2-2-20000-2-2-20000000000200002000000000000
χ19222222222222-2-2-2-2-222-2-2-22200002-2-20000000000-200002000000000000
χ20222222222222-2-2-2-2-222-2-2-2-2-20000222000000000020000-2000000000000
χ2122222222-2-2-2-222-2-2222-2-22000000-20000000000020-200-20200000000000
χ2222222222-2-2-2-222-2-2222-2-22000000-200000000000-2020020-200000000000
χ2322222222-2-2-2-222-2-2-2-2-222-20022-2-220000000000-20000000020000000000
χ2422222222-2-2-2-222-2-2-2-2-222-200-2-22220000000000200000000-20000000000
χ2522222222-2-2-2-2-2-2222-2-2-2-2200000020000000000020-20020-200000000000
χ2622222222-2-2-2-2-2-2222-2-2-2-22000000200000000000-20200-20200000000000
χ2722222222-2-2-2-2-2-222-22222-20022-2-2-20000000000200000000-20000000000
χ2822222222-2-2-2-2-2-222-22222-200-2-222-20000000000-20000000020000000000
χ2922-22-2-2-222-22-22i−2i2i−2i0000002i−2i000002-2i2i2−i2−i222−2−200000000000000002−2i2−i2
χ3022-22-2-2-222-22-22i−2i2i−2i0000002i−2i000002-2−i2−i2i2i2−2−2220000000000000000−22−i2i2
χ3122-22-2-2-222-22-22i−2i2i−2i000000−2i2i00000-22i2i2−i2−i222−2−20000000000000000−22−i2i2
χ3222-22-2-2-222-22-22i−2i2i−2i000000−2i2i00000-22−i2−i2i2i2−2−22200000000000000002−2i2−i2
χ3322-22-2-2-222-22-2−2i2i−2i2i0000002i−2i00000-22i2i2−i2−i2−2−22200000000000000002−2−i2i2
χ3422-22-2-2-222-22-2−2i2i−2i2i0000002i−2i00000-22−i2−i2i2i222−2−20000000000000000−22i2−i2
χ3522-22-2-2-222-22-2−2i2i−2i2i000000−2i2i000002-2i2i2−i2−i2−2−2220000000000000000−22i2−i2
χ3622-22-2-2-222-22-2−2i2i−2i2i000000−2i2i000002-2−i2−i2i2i222−2−200000000000000002−2−i2i2
χ372-2-2-2-222222-2-200002002-2-2002-22-200000002i−2i2i−2i000000000000002i−2i0000
χ382-2-2-2-222222-2-200002002-2-2002-22-20000000−2i2i−2i2i00000000000000−2i2i0000
χ392-2-2-2-222222-2-200002002-2-200-22-2200000002i−2i2i−2i00000000000000−2i2i0000
χ402-2-2-2-222222-2-200002002-2-200-22-220000000−2i2i−2i2i000000000000002i−2i0000
χ412-2-2-2-2222-2-2220000-2002-22002-2-220002-22-200000000000000002-2000000
χ422-2-2-2-2222-2-2220000-2002-22002-2-22000-22-220000000000000000-22000000
χ432-2-2-2-2222-2-2220000-2002-2200-222-20002-22-20000000000000000-22000000
χ442-2-2-2-2222-2-2220000-2002-2200-222-2000-22-2200000000000000002-2000000
χ4544-44-4-4-44-44-444i−4i−4i4i0000000000000000000000000000000000000000000
χ4644-44-4-4-44-44-44−4i4i4i−4i0000000000000000000000000000000000000000000
χ474-44-44-4-444-4-44000000000000000000000002i2−2i2−2i22i200000000000000000000
χ484-44-44-4-444-4-4400000000000000000000000−2i22i22i2−2i200000000000000000000
χ494-44-44-4-44-444-400000000000000000002i2−2i2−2i22i2000000000000000000000000
χ504-44-44-4-44-444-40000000000000000000−2i22i22i2−2i2000000000000000000000000
χ514-4-444-44-40000000004i−4i0000000000000000000000002-200002i−2i00000000
χ524-4-444-44-40000000004i−4i000000000000000000000000-220000−2i2i00000000
χ534-4-444-44-4000000000−4i4i0000000000000000000000002-20000−2i2i00000000
χ544-4-444-44-4000000000−4i4i000000000000000000000000-2200002i−2i00000000
χ554-4-4-4-444444-4-40000-400-4440000000000000000000000000000000000000
χ564-4-4-4-4444-4-4440000400-44-40000000000000000000000000000000000000
χ57888-8-8-88-8000000000000000000000000000000000000000000000000000
χ5888-8-888-8-8000000000000000000000000000000000000000000000000000
χ598-888-88-8-8000000000000000000000000000000000000000000000000000

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