Finite Group Databasebeta

← Group #332321

Character table — Group #332321

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488882244444488888888888888244444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-1
χ3111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11
χ4111111111111111111111111-1-1-1-1-1-11111-1-1-1-1111111-1111-1-1-1-11111-1-1-1
χ51111111111111111111111-1-1111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1
χ61111111111111111111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11
χ71111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111111111-1
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-11-1-1
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-111-1-1111-11
χ11111111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1111111-1-111-1-1-1-111-11-1
χ12111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-11-1-1-1-11111-1-1-111
χ13111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11-111-1-1-1-1-1-111-111
χ14111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-11-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111-111-1-1-1-111-1-11-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1111111-1-1111-1-1
χ17222222222-22-22-22-2-2-200000022-2-22222000000-2-20000-200000000000000
χ18222222222-22-22-22-2-2-200000022-2-2-2-2-2-2000000220000200000000000000
χ19222222222-22-22-22-2-2-2000000-2-22222-2-2000000220000-200000000000000
χ20222222222-22-22-22-2-2-2000000-2-222-2-222000000-2-20000200000000000000
χ2122222222-22-22-22-22-2-222222200000000-2-200000000000-22-200000000000
χ2222222222-22-22-22-22-2-22222-2-200000000-2-2000000000002-2200000000000
χ2322222222-22-22-22-22-2-2-2-2-2-222000000002200000000000-2-2200000000000
χ2422222222-22-22-22-22-2-2-2-2-2-2-2-200000000220000000000022-200000000000
χ2522-2-22-22-2-202020-2000i2i2−i2−i2002i−2i002i−2i2-2i2−i222−2−200i2i2−i2−i20000002−20000000
χ2622-2-22-22-2-202020-2000i2i2−i2−i2002i−2i00−2i2i-22i2−i222−2−200−i2−i2i2i2000000−220000000
χ2722-2-22-22-2-202020-2000i2i2−i2−i200−2i2i002i−2i-22i2−i2−2−22200−i2−i2i2i20000002−20000000
χ2822-2-22-22-2-202020-2000i2i2−i2−i200−2i2i00−2i2i2-2i2−i2−2−22200i2i2−i2−i2000000−220000000
χ2922-2-22-22-2-202020-2000−i2−i2i2i2002i−2i002i−2i2-2−i2i2−2−22200−i2−i2i2i2000000−220000000
χ3022-2-22-22-2-202020-2000−i2−i2i2i2002i−2i00−2i2i-22−i2i2−2−22200i2i2−i2−i20000002−20000000
χ3122-2-22-22-2-202020-2000−i2−i2i2i200−2i2i002i−2i-22−i2i222−2−200i2i2−i2−i2000000−220000000
χ3222-2-22-22-2-202020-2000−i2−i2i2i200−2i2i00−2i2i2-2−i2i222−2−200−i2−i2i2i20000002−20000000
χ332-2-2-222-2222-2-222-2-22-200000000000000002i−2i2i−2i00000000002-200002i−2i000
χ342-2-2-222-2222-2-222-2-22-200000000000000002i−2i2i−2i0000000000-220000−2i2i000
χ352-2-2-222-2222-2-222-2-22-20000000000000000−2i2i−2i2i00000000002-20000−2i2i000
χ362-2-2-222-2222-2-222-2-22-20000000000000000−2i2i−2i2i0000000000-2200002i−2i000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-4-44-4-4000000000022−2222−22000000000000000022−222-22-2000000000000000
χ39444-4-44-4-4000000000022−2222−220000000000000000−2222-22-22000000000000000
χ40444-4-44-4-40000000000−2222−2222000000000000000022−22-22-22000000000000000
χ41444-4-44-4-40000000000−2222−22220000000000000000−22222-22-2000000000000000
χ4244-44-4-4-44040-40-404004i−4i−4i4i0000000000000000000000000000000000000
χ4344-44-4-4-44040-40-40400−4i4i4i−4i0000000000000000000000000000000000000
χ4444-44-4-4-440-404040-40000000000000000000000002i2−2i2−2i22i2000000000000000
χ4544-44-4-4-440-404040-4000000000000000000000000−2i22i22i2−2i2000000000000000
χ4644-4-44-44-440-40-4040002i22i2−2i2−2i20000000000−2i22i20000000000000000000000000
χ4744-4-44-44-440-40-404000−2i2−2i22i22i200000000002i2−2i20000000000000000000000000
χ484-4444-4-4-44040-40-4000000000004-40000000000000000000000000000000
χ494-4444-4-4-44040-40-400000000000-440000000000000000000000000000000
χ504-4444-4-4-4-40-4040400000000000000000002i2−2i2−2i22i2000000000000000000000
χ514-4444-4-4-4-40-404040000000000000000000−2i22i22i2−2i2000000000000000000000
χ524-44-4-4-44404040-40-40000000000000000000000000000000000002i2−2i200000
χ534-44-4-4-44404040-40-4000000000000000000000000000000000000−2i22i200000
χ544-44-4-4-4440-40-404040000004-400000000000000000000000000000000000
χ554-44-4-4-4440-40-40404000000-4400000000000000000000000000000000000
χ564-4-4-444-444-4-444-4-44-4400000000000000000000000000000000000000000
χ574-4-4-444-44-444-4-444-4-4400000000000000000000000000000000000000000
χ584-4-4-444-44-4-444-4-4444-400000000000000000000000000000000000000000
χ598-8-88-888-8000000000000000000000000000000000000000000000000000

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