Finite Group Databasebeta

← Group #332304

Character table — Group #332304

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488884444444488888888888888444444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1111111111111111-1-1-1-1-111-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11111-1-1111111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-1
χ4111111111111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11
χ51111111111111111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11
χ61111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111111111-1
χ71111111111111111111111-1-1-1-1-1-1111111-1-1-1-1111111-1111-1-1-1-11111-1-1-1
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
χ10111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1-11-111-1-1-1-1-1-111-111
χ11111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-111-1-1111-11
χ12111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-11-1
χ13111111111111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1111111-1-111-1-1-1-111-11-1
χ14111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111111-111-1-1-1-111-1-11-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-11-1-1-1-11111-1-1-111
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
χ17222222222-22-22-22-2-2-200002222-2-200-2-2000000220000-200000000000000
χ18222222222-22-22-22-2-2-2000022-2-2-2-20022000000-2-20000200000000000000
χ19222222222-22-22-22-2-2-20000-2-222220022000000-2-20000-200000000000000
χ20222222222-22-22-22-2-2-20000-2-2-2-22200-2-2000000220000200000000000000
χ2122222222-22-22-22-22-2-222220000002200-2-200000000000-22-200000000000
χ2222222222-22-22-22-22-2-22222000000-2-200-2-2000000000002-2200000000000
χ2322222222-22-22-22-22-2-2-2-2-2-200000022002200000000000-2-2200000000000
χ2422222222-22-22-22-22-2-2-2-2-2-2000000-2-200220000000000022-200000000000
χ252-222-22-2-2-20-2020200022−2−2002-22i−2i002i−2i2−2i2i2−i2−i200i2i2−i2−i20000002−20000000
χ262-222-22-2-2-20-2020200022−2−2002-2−2i2i00−2i2i2−2−i2−i2i2i200−i2−i2i2i20000002−20000000
χ272-222-22-2-2-20-2020200022−2−200-222i−2i00−2i2i2−2i2i2−i2−i200−i2−i2i2i2000000−220000000
χ282-222-22-2-2-20-2020200022−2−200-22−2i2i002i−2i2−2−i2−i2i2i200i2i2−i2−i2000000−220000000
χ292-222-22-2-2-20-20202000−2−222002-22i−2i002i−2i−22−i2−i2i2i200−i2−i2i2i2000000−220000000
χ302-222-22-2-2-20-20202000−2−222002-2−2i2i00−2i2i−22i2i2−i2−i200i2i2−i2−i2000000−220000000
χ312-222-22-2-2-20-20202000−2−22200-222i−2i00−2i2i−22−i2−i2i2i200i2i2−i2−i20000002−20000000
χ322-222-22-2-2-20-20202000−2−22200-22−2i2i002i−2i−22i2i2−i2−i200−i2−i2i2i20000002−20000000
χ332-2-2-2-222222-2-222-2-22-200000000000000002i−2i2i−2i00000000002-200002i−2i000
χ342-2-2-2-222222-2-222-2-22-200000000000000002i−2i2i−2i0000000000-220000−2i2i000
χ352-2-2-2-222222-2-222-2-22-20000000000000000−2i2i−2i2i00000000002-20000−2i2i000
χ362-2-2-2-222222-2-222-2-22-20000000000000000−2i2i−2i2i0000000000-2200002i−2i000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-4-4-44-404040-40-400000000000000000000000022−2222−22000000000000000
χ39444-4-4-44-404040-40-4000000000000000000000000−2222−2222000000000000000
χ40444-4-4-44-40-40-40404004i−4i4i−4i0000000000000000000000000000000000000
χ41444-4-4-44-40-40-4040400−4i4i−4i4i0000000000000000000000000000000000000
χ4244-4-444-4-440-40-40400000004-400000000000000000000000000000000000
χ4344-4-444-4-440-40-4040000000-4400000000000000000000000000000000000
χ4444-4-444-4-4-404040-4000000000000000000022−22−2222000000000000000000000
χ4544-4-444-4-4-404040-40000000000000000000−222222−22000000000000000000000
χ464-444-44-4-44040-40-40002222−22−220000000000−22220000000000000000000000000
χ474-444-44-4-44040-40-4000−22−222222000000000022−220000000000000000000000000
χ484-44-44-4-4400000000002i2−2i2−2i22i2000000000000000022−222i−2i−2i2i000000000000000
χ494-44-44-4-4400000000002i2−2i2−2i22i20000000000000000−2222−2i2i2i−2i000000000000000
χ504-44-44-4-440000000000−2i22i22i2−2i2000000000000000022−22−2i2i2i−2i000000000000000
χ514-44-44-4-440000000000−2i22i22i2−2i20000000000000000−22222i−2i−2i2i000000000000000
χ524-4-444-44-4040-40-4040000000000004i−4i00000000000000000000000000000
χ534-4-444-44-4040-40-404000000000000−4i4i00000000000000000000000000000
χ544-4-444-44-40-404040-40000000000000000000000000000000000002i2−2i200000
χ554-4-444-44-40-404040-4000000000000000000000000000000000000−2i22i200000
χ564-4-4-4-44444-4-444-4-44-4400000000000000000000000000000000000000000
χ574-4-4-4-4444-444-4-444-4-4400000000000000000000000000000000000000000
χ584-4-4-4-4444-4-444-4-4444-400000000000000000000000000000000000000000
χ5988-88-8-8-88000000000000000000000000000000000000000000000000000

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