Finite Group Databasebeta

← Group #332253

Character table — Group #332253

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488882244444488888888888888244444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-111
χ3111111111111111111111111-1-11111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1
χ4111111111111111111111111-1-111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111-1-1
χ51111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1
χ61111111111111111111111-1-111-1-1-1-11111-1-1-1-1111111-11-1-111-1-11111-1-1-1
χ71111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1111111-111
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-11-1111-1-1-111-1-1-11-1
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-11111-1
χ11111111111111111111-1-1-1-111-1-11111-1-111-1-1-1-111-1-1-1-111-1-1-11-1-1-1-1111-11
χ12111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1111-111111-1-1-1-11
χ13111111111111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-111111-1111-1-1-1-1-111-1-11
χ14111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11111-1-11-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-1-11-1-111-1-111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1111-1111-1-111-11-1
χ17222222222-22-22-22-2-2-200002200-2-22200-2-20000220000-200000000000000
χ18222222222-22-22-22-2-2-200002200-2-2-2-200220000-2-20000200000000000000
χ19222222222-22-22-22-2-2-20000-2-200222200220000-2-20000-200000000000000
χ20222222222-22-22-22-2-2-20000-2-20022-2-200-2-20000220000200000000000000
χ2122222222-22-22-22-22-2-2222200220000-2-20000000000000200-2-2000000000
χ2222222222-22-22-22-22-2-2222200-2-20000-2-20000000000000-20022000000000
χ2322222222-22-22-22-22-2-2-2-2-2-200220000220000000000000-200-22000000000
χ2422222222-22-22-22-22-2-2-2-2-2-200-2-200002200000000000002002-2000000000
χ252-2-222-22-22020-20-200022−2−200002i−2i2i−2i2−22-2i2i2−i2−i20022−2−2000000i2−i20000000
χ262-2-222-22-22020-20-200022−2−200002i−2i−2i2i2−2-22i2i2−i2−i200−2−222000000−i2i20000000
χ272-2-222-22-22020-20-200022−2−20000−2i2i2i−2i2−2-22−i2−i2i2i200−2−222000000i2−i20000000
χ282-2-222-22-22020-20-200022−2−20000−2i2i−2i2i2−22-2−i2−i2i2i20022−2−2000000−i2i20000000
χ292-2-222-22-22020-20-2000−2−22200002i−2i2i−2i−222-2−i2−i2i2i200−2−222000000−i2i20000000
χ302-2-222-22-22020-20-2000−2−22200002i−2i−2i2i−22-22−i2−i2i2i20022−2−2000000i2−i20000000
χ312-2-222-22-22020-20-2000−2−2220000−2i2i2i−2i−22-22i2i2−i2−i20022−2−2000000−i2i20000000
χ322-2-222-22-22020-20-2000−2−2220000−2i2i−2i2i−222-2i2i2−i2−i200−2−222000000i2−i20000000
χ332-2-2-222-2222-2-222-2-22-200000000000000002i−2i2i−2i000000002-20000002i−2i000
χ342-2-2-222-2222-2-222-2-22-200000000000000002i−2i2i−2i00000000-22000000−2i2i000
χ352-2-2-222-2222-2-222-2-22-20000000000000000−2i2i−2i2i000000002-2000000−2i2i000
χ362-2-2-222-2222-2-222-2-22-20000000000000000−2i2i−2i2i00000000-220000002i−2i000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-44-4-4-440-40-404000000000000000000022−22−2222000000000000000000000
χ39444-44-4-4-440-40-4040000000000000000000−222222−22000000000000000000000
χ40444-44-4-4-4-404040-400000004-400000000000000000000000000000000000
χ41444-44-4-4-4-404040-40000000-4400000000000000000000000000000000000
χ4244-44-4-4-44040-40-404000000004i−4i000000000000000000000000000000000
χ4344-44-4-4-44040-40-40400000000−4i4i000000000000000000000000000000000
χ4444-44-4-4-440-404040-40000000000000000000000000000000000002i2−2i200000
χ4544-44-4-4-440-404040-4000000000000000000000000000000000000−2i22i200000
χ4644-4-4-444-4000000000022−2222−2200000000000000002i2−2i22i−2i2i−2i000000000000000
χ4744-4-4-444-4000000000022−2222−220000000000000000−2i22i2−2i2i−2i2i000000000000000
χ4844-4-4-444-40000000000−2222−222200000000000000002i2−2i2−2i2i−2i2i000000000000000
χ4944-4-4-444-40000000000−2222−22220000000000000000−2i22i22i−2i2i−2i000000000000000
χ504-44-4-4-44404040-40-40000000000000000000000002i2−2i2−2i22i2000000000000000
χ514-44-4-4-44404040-40-4000000000000000000000000−2i22i22i2−2i2000000000000000
χ524-44-4-4-4440-40-40404004-4-440000000000000000000000000000000000000
χ534-44-4-4-4440-40-4040400-444-40000000000000000000000000000000000000
χ544-4-444-44-4-40-404040002222−22−2200000000−2222000000000000000000000000000
χ554-4-444-44-4-40-40404000−22−2222220000000022−22000000000000000000000000000
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
χ598-888-88-8-8000000000000000000000000000000000000000000000000000

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