Finite Group Databasebeta

← Group #340950

Character table — Group #340950

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488882244444488888888888888444444888888244
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111111111111111-11-1-1-1-1-1-111-1-1-1-1-1
χ311111111111111111111111111-1-111-1-1111111-1-1-1-1-1-11-111-1-1-1-1-1-1-1-111-1
χ411111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-11
χ51111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11
χ61111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1
χ71111111111111111111111-1-1-1-1-1-1111111-1-1-1-11111111-111-1-111-1-111-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-111-111-1-1-1-111-11-1
χ10111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1-111-11-1-111-1-1-1-11-11
χ11111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-11111-1-1-111
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111-1-111111-1-1
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-111-11111-1-1-1-11-1-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1111111-11-1-1-1-1-1-111-111
χ15111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-11-1-1-1-1-111111-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11-1-11111111-1-1-11-1
χ172222222222-2-2-222-2-2-222220000002200-2-20000000000-20-2200000000000
χ182222222222-2-2-222-2-2-22222000000-2-200-2-20000000000202-200000000000
χ192222222222-2-2-222-2-2-2-2-2-2-2000000220022000000000020-2-200000000000
χ202222222222-2-2-222-2-2-2-2-2-2-2000000-2-200220000000000-202200000000000
χ2122222222-2-2222-2-22-2-2000022-2-2220022000000-2-200000-20000000000000
χ2222222222-2-2222-2-22-2-2000022-2-2-2-200-2-2000000220000020000000000000
χ2322222222-2-2222-2-22-2-20000-2-2222200-2-20000002200000-20000000000000
χ2422222222-2-2222-2-22-2-20000-2-222-2-20022000000-2-20000020000000000000
χ2522-22-22-2-2002-2-200200i2i2−i2−i22-2002i−2i002i−2ii2−i2i2i2−i2−i20022−2−2000000002−200000
χ2622-22-22-2-2002-2-200200i2i2−i2−i22-200−2i2i00−2i2ii2−i2i2i2−i2−i200−2−22200000000−2200000
χ2722-22-22-2-2002-2-200200i2i2−i2−i2-22002i−2i00−2i2ii2−i2−i2−i2i2i200−2−222000000002−200000
χ2822-22-22-2-2002-2-200200i2i2−i2−i2-2200−2i2i002i−2ii2−i2−i2−i2i2i20022−2−200000000−2200000
χ2922-22-22-2-2002-2-200200−i2−i2i2i22-2002i−2i002i−2i−i2i2−i2−i2i2i200−2−22200000000−2200000
χ3022-22-22-2-2002-2-200200−i2−i2i2i22-200−2i2i00−2i2i−i2i2−i2−i2i2i20022−2−2000000002−200000
χ3122-22-22-2-2002-2-200200−i2−i2i2i2-22002i−2i00−2i2i−i2i2i2i2−i2−i20022−2−200000000−2200000
χ3222-22-22-2-2002-2-200200−i2−i2i2i2-2200−2i2i002i−2i−i2i2i2i2−i2−i200−2−222000000002−200000
χ332-22-2-222-222-22-2-2-22-2200000000000000002i−2i2i−2i00000000002-22i−2i0000000
χ342-22-2-222-222-22-2-2-22-2200000000000000002i−2i2i−2i0000000000-22−2i2i0000000
χ352-22-2-222-222-22-2-2-22-220000000000000000−2i2i−2i2i00000000002-2−2i2i0000000
χ362-22-2-222-222-22-2-2-22-220000000000000000−2i2i−2i2i0000000000-222i−2i0000000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-4-4-4-444-40004-400000000000000000000000002i2−2i22i2−2i2000000000000000
χ39444-4-4-4-444-40004-40000000000000000000000000−2i22i2−2i22i2000000000000000
χ40444-4-4-4-44-44000-440004i−4i4i−4i0000000000000000000000000000000000000
χ41444-4-4-4-44-44000-44000−4i4i−4i4i0000000000000000000000000000000000000
χ4244-44-44-4-400-44400-4002i22i2−2i2−2i20000000000−2i22i20000000000000000000000000
χ4344-44-44-4-400-44400-400−2i2−2i22i22i200000000002i2−2i20000000000000000000000000
χ4444-4-44-44-4000000000022−22−222200000000000000002i2−2i22i−2i−2i2i000000000000000
χ4544-4-44-44-4000000000022−22−22220000000000000000−2i22i2−2i2i2i−2i000000000000000
χ4644-4-44-44-40000000000−222222−2200000000000000002i2−2i2−2i2i2i−2i000000000000000
χ4744-4-44-44-40000000000−222222−220000000000000000−2i22i22i−2i−2i2i000000000000000
χ484-4444-4-4-44-4000-4400000000000004i−4i00000000000000000000000000000
χ494-4444-4-4-44-4000-440000000000000−4i4i00000000000000000000000000000
χ504-4444-4-4-4-440004-40000000000000000000000000000000000000002i2−2i2000
χ514-4444-4-4-4-440004-4000000000000000000000000000000000000000−2i22i2000
χ524-44-4-444-4444-44-4-4-44-400000000000000000000000000000000000000000
χ534-44-4-444-4-4-44-4444-4-4400000000000000000000000000000000000000000
χ544-44-4-444-4-4-4-44-44444-400000000000000000000000000000000000000000
χ554-4-4-444-440044-400-4000000004i−4i000000000000000000000000000000000
χ564-4-4-444-440044-400-400000000−4i4i000000000000000000000000000000000
χ574-4-4-444-4400-4-4400400000000000000000022−22−2222000000000000000000000
χ584-4-4-444-4400-4-44004000000000000000000−222222−22000000000000000000000
χ598-8-88-8-888000000000000000000000000000000000000000000000000000

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