Finite Group Databasebeta

← Group #292143

Character table — Group #292143

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222222222224444444444444448888888822244444444444448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-11-1-11111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-111111111-1-1-1-11-1-11-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-11-1-111-1-1-1-11111
χ51111111111111111111111-1-11-1-1111111111111-1-1-1-1-11-1-11-1-1-1-1-1-1-11111
χ61111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-111-1-11-1-11-1111111-1-1-1-1
χ71111111111111111111111-1-11-1-1-1-1-1-1111111111111-1-11-1-1111-1-1-1-1-1-1-1-1
χ81111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-11-1-11-1-111111111
χ9111111111111-1-1-1-11-1-111111-11111-1-11111-1-1-1-1111-1-1-11-11-1-1-111-1-111-1-1
χ10111111111111-1-1-1-11-1-111111-11111-1-1-1-1-1-111111-1-1-1-1-11-11-111-1-111-1-111
χ11111111111111-1-1-1-11-1-111111-111-1-1111111-1-1-1-1-1-1-11-11-1-1-111111-1-1-1-111
χ12111111111111-1-1-1-11-1-111111-111-1-111-1-1-1-11111-1111-11-1-1-11-1-1-1-11111-1-1
χ13111111111111-1-1-1-11-1-1111-1-1-1-1-111-1-11111-1-1-1-1-1-1-111-1-111111-1-11111-1-1
χ14111111111111-1-1-1-11-1-1111-1-1-1-1-111-1-1-1-1-1-11111-11111-1-1111-1-111-1-1-1-111
χ15111111111111-1-1-1-11-1-1111-1-1-1-1-1-1-1111111-1-1-1-1111-11111-1-1-1-1-1-111-1-111
χ16111111111111-1-1-1-11-1-1111-1-1-1-1-1-1-111-1-1-1-111111-1-1-11111-1-11111-1-111-1-1
χ172222222222222222-2-2-2-2-2-200-20022220000000000000-200-200000000000
χ182222222222222222-2-2-2-2-2-200-200-2-2-2-20000000000000200200000000000
χ19222222222222-2-2-2-2-222-2-2-20020022-2-20000000000000200-200000000000
χ20222222222222-2-2-2-2-222-2-2-200200-2-2220000000000000-200200000000000
χ2122222222-2-2-2-222-2-2222-2-2200-200000000000000200-200-20020000000000
χ2222222222-2-2-2-222-2-2222-2-2200-200000000000000-200200200-20000000000
χ2322222222-2-2-2-222-2-2-2-2-222-2222-2-20000000000000000-2002000000000000
χ2422222222-2-2-2-222-2-2-2-2-222-2-2-22220000000000000000200-2000000000000
χ2522222222-2-2-2-2-2-2222-2-2-2-2200200000000000000200200-200-20000000000
χ2622222222-2-2-2-2-2-2222-2-2-2-2200200000000000000-200-20020020000000000
χ2722222222-2-2-2-2-2-222-22222-222-2-2-20000000000000000200-2000000000000
χ2822222222-2-2-2-2-2-222-22222-2-2-2-2220000000000000000-2002000000000000
χ2922-22-22-2-222-2-20000-2002-222i−2i02i−2i000022-2-200000000000000002i−2i000000
χ3022-22-22-2-222-2-20000-2002-222i−2i02i−2i0000-2-2220000000000000000−2i2i000000
χ3122-22-22-2-222-2-20000-2002-22−2i2i0−2i2i000022-2-20000000000000000−2i2i000000
χ3222-22-22-2-222-2-20000-2002-22−2i2i0−2i2i0000-2-22200000000000000002i−2i000000
χ3322-22-22-2-2-2-22200002002-2-22i−2i0−2i2i000000002i2i−2i−2i000000000000002-20000
χ3422-22-22-2-2-2-22200002002-2-22i−2i0−2i2i00000000−2i−2i2i2i00000000000000-220000
χ3522-22-22-2-2-2-22200002002-2-2−2i2i02i−2i000000002i2i−2i−2i00000000000000-220000
χ3622-22-22-2-2-2-22200002002-2-2−2i2i02i−2i00000000−2i−2i2i2i000000000000002-20000
χ372-222-2-2-222-22-22-22-2000000000002i−2i2i−2i2−22−22−22−20000000000000000i2−i2i2−i2
χ382-222-2-2-222-22-22-22-2000000000002i−2i2i−2i−22−22−22−220000000000000000−i2i2−i2i2
χ392-222-2-2-222-22-22-22-200000000000−2i2i−2i2i2−22−22−22−20000000000000000−i2i2−i2i2
χ402-222-2-2-222-22-22-22-200000000000−2i2i−2i2i−22−22−22−220000000000000000i2−i2i2−i2
χ412-222-2-2-222-22-2-22-22000000000002i−2i−2i2i2−22−2−22−220000000000000000i2−i2−i2i2
χ422-222-2-2-222-22-2-22-22000000000002i−2i−2i2i−22−222−22−20000000000000000−i2i2i2−i2
χ432-222-2-2-222-22-2-22-2200000000000−2i2i2i−2i2−22−2−22−220000000000000000−i2i2i2−i2
χ442-222-2-2-222-22-2-22-2200000000000−2i2i2i−2i−22−222−22−20000000000000000i2−i2−i2i2
χ4544-44-44-4-444-4-40000400-44-40000000000000000000000000000000000000
χ4644-44-44-4-4-4-4440000-400-4440000000000000000000000000000000000000
χ474-444-4-4-44-44-444-4-440000000000000000000000000000000000000000000
χ484-444-4-4-44-44-44-444-40000000000000000000000000000000000000000000
χ494-4-444-44-44-4-44000000000000000000022−22−2222000000000000000000000000
χ504-4-444-44-44-4-440000000000000000000−222222−22000000000000000000000000
χ514-4-444-44-4-444-4000000000000000000000002i2−2i2−2i22i200000000000000000000
χ524-4-444-44-4-444-400000000000000000000000−2i22i22i2−2i200000000000000000000
χ534-4-4-444-440000000004-40000000000000000000002-200000002-200000000
χ544-4-4-444-440000000004-4000000000000000000000-220000000-2200000000
χ554-4-4-444-44000000000-440000000000000000000002-20000000-2200000000
χ564-4-4-444-44000000000-44000000000000000000000-2200000002-200000000
χ57888-88-8-8-8000000000000000000000000000000000000000000000000000
χ5888-8-8-8-888000000000000000000000000000000000000000000000000000
χ598-88-8-888-8000000000000000000000000000000000000000000000000000

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