Finite Group Databasebeta

← Group #341966

Character table — Group #341966

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488884444444488888888888888224444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111111111111111-1-1-1-11-1-1-111-1-1-1-1-1
χ311111111111111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-111-11-1-1-1-1-1-111-1
χ411111111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-111-1-111-1-11
χ51111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11
χ61111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1
χ71111111111111111111111-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1111-1-111-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1111-11-1-1-1-1-1111-1-1
χ10111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-111111-1-1-1-1-111
χ11111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-11111-1-11-11
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11-11-1-11111-11-1
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111111-11-111-1-1-1-1-11-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1111-1-1-1-1111-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-11-1-1-1-1-11111-111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-11-111111-1-11-1-1
χ17222222222-22-22-22-2-2-2000022-2-2220000220000-2-200000000-20000000000
χ18222222222-22-22-22-2-2-2000022-2-2-2-20000-2-20000220000000020000000000
χ19222222222-22-22-22-2-2-20000-2-222220000-2-200002200000000-20000000000
χ20222222222-22-22-22-2-2-20000-2-222-2-20000220000-2-20000000020000000000
χ2122222222-22-22-22-22-2-2222200000022-2-200000000000000-2-202000000000
χ2222222222-22-22-22-22-2-22222000000-2-2-2-200000000000000220-2000000000
χ2322222222-22-22-22-22-2-2-2-2-2-2000000222200000000000000-220-2000000000
χ2422222222-22-22-22-22-2-2-2-2-2-2000000-2-222000000000000002-202000000000
χ252222-2-2-2-222-2-222-2-22-2000000000000000022-2-20000002-200002-20000000
χ262222-2-2-2-222-2-222-2-22-2000000000000000022-2-2000000-220000-220000000
χ272222-2-2-2-222-2-222-2-22-20000000000000000-2-2220000002-20000-220000000
χ282222-2-2-2-222-2-222-2-22-20000000000000000-2-222000000-2200002-20000000
χ2922-2-2-222-22020-20-200022−2−22i−2i002i−2i002−22-2i2−i2i2−i20022−2−200000000i2−i200000
χ3022-2-2-222-22020-20-200022−2−22i−2i00−2i2i002−2-22i2−i2i2−i200−2−22200000000−i2i200000
χ3122-2-2-222-22020-20-200022−2−2−2i2i002i−2i002−2-22−i2i2−i2i200−2−22200000000i2−i200000
χ3222-2-2-222-22020-20-200022−2−2−2i2i00−2i2i002−22-2−i2i2−i2i20022−2−200000000−i2i200000
χ3322-2-2-222-22020-20-2000−2−2222i−2i002i−2i00−222-2−i2i2−i2i200−2−22200000000−i2i200000
χ3422-2-2-222-22020-20-2000−2−2222i−2i00−2i2i00−22-22−i2i2−i2i20022−2−200000000i2−i200000
χ3522-2-2-222-22020-20-2000−2−222−2i2i002i−2i00−22-22i2−i2i2−i20022−2−200000000−i2i200000
χ3622-2-2-222-22020-20-2000−2−222−2i2i00−2i2i00−222-2i2−i2i2−i200−2−22200000000i2−i200000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ384444-4-4-4-44-4-444-4-44-4400000000000000000000000000000000000000000
χ394444-4-4-4-4-444-4-444-4-4400000000000000000000000000000000000000000
χ404444-4-4-4-4-4-444-4-4444-400000000000000000000000000000000000000000
χ4144-4-44-4-4440-40-40400000000000000000002i2−2i2−2i22i2000000000000000000000
χ4244-4-44-4-4440-40-4040000000000000000000−2i22i22i2−2i2000000000000000000000
χ4344-4-44-4-44-404040-40000000004i−4i000000000000000000000000000000000
χ4444-4-44-4-44-404040-4000000000−4i4i000000000000000000000000000000000
χ4544-4-4-444-4-40-404040002222−22−2200000000−2222000000000000000000000000000
χ4644-4-4-444-4-40-40404000−22−2222220000000022−22000000000000000000000000000
χ474-44-444-4-4000000000022−2222−2200000000000000002i2−2i22i−2i2i−2i000000000000000
χ484-44-444-4-4000000000022−2222−220000000000000000−2i22i2−2i2i−2i2i000000000000000
χ494-44-444-4-40000000000−2222−222200000000000000002i2−2i2−2i2i−2i2i000000000000000
χ504-44-444-4-40000000000−2222−22220000000000000000−2i22i22i−2i2i−2i000000000000000
χ514-4-444-44-4040-40-4040000000000004i−4i00000000000000000000000000000
χ524-4-444-44-4040-40-404000000000000−4i4i00000000000000000000000000000
χ534-4-444-44-40-404040-4000000000000000000000000000000000000002i2−2i2000
χ544-4-444-44-40-404040-400000000000000000000000000000000000000−2i22i2000
χ554-4-44-44-4404040-40-40000000000000000000000002i2−2i2−2i22i2000000000000000
χ564-4-44-44-4404040-40-4000000000000000000000000−2i22i22i2−2i2000000000000000
χ574-4-44-44-440-40-40404004-4-440000000000000000000000000000000000000
χ584-4-44-44-440-40-4040400-444-40000000000000000000000000000000000000
χ598-88-8-8-888000000000000000000000000000000000000000000000000000

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