Finite Group Databasebeta

← Group #103525

Character table — Group #103525

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444444488888888888888888161616161616161616161616161616163232
order12222222222244444444444448888888888888888222222448888888824
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ51111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1
χ81111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111
χ922222222222222222-2-2-2-2-22-2-20000000000000000000022-2-20000000000
χ1022222222222222222-2-2-2-2-22-2-200000000000000000000-2-2220000000000
χ11222222222222-2-2-2-2-222-2-2-2-2-2200000000000000000000000000002i2i−2i−2i00
χ12222222222222-2-2-2-2-222-2-2-2-2-220000000000000000000000000000−2i−2i2i2i00
χ13222222222222-2-2-2-2-2-2-2222-22-22222-2-2-2-200000000000000000000000000
χ14222222222222-2-2-2-2-2-2-2222-22-2-2-2-2-2222200000000000000000000000000
χ1522222222-2-2-2-22222-222-222-2-2-2000000000000000000000000000000002-2
χ1622222222-2-2-2-22222-222-222-2-2-200000000000000000000000000000000-22
χ1722222222-2-2-2-22222-2-2-22-2-2-22200000000000000000000000022-2-2000000
χ1822222222-2-2-2-22222-2-2-22-2-2-222000000000000000000000000-2-222000000
χ1922222222-2-2-2-2-2-2-2-22222-2-222-2000000002222-2-2-2-2000000000000000000
χ2022222222-2-2-2-2-2-2-2-22222-2-222-200000000-2-2-2-22222000000000000000000
χ2122222222-2-2-2-2-2-2-2-22-2-2-2222-22000000000000000022-2-200000000000000
χ2222222222-2-2-2-2-2-2-2-22-2-2-2222-220000000000000000-2-22200000000000000
χ2322-22-2-22-222-2-222-2-2200000-20022−2−222−2−2000000000000002i−2i0000i2−i2i2−i200
χ2422-22-2-22-222-2-222-2-2200000-20022−2−222−2−200000000000000−2i2i0000−i2i2−i2i200
χ2522-22-2-22-222-2-222-2-2200000-200−2−222−2−222000000000000002i−2i0000−i2i2−i2i200
χ2622-22-2-22-222-2-222-2-2200000-200−2−222−2−22200000000000000−2i2i0000i2−i2i2−i200
χ2722-22-2-22-222-2-2-2-222-20000020022−2−2−2−2220000000000002-20000002−2−2200
χ2822-22-2-22-222-2-2-2-222-20000020022−2−2−2−222000000000000-22000000−222−200
χ2922-22-2-22-222-2-2-2-222-200000200−2−22222−2−20000000000002-2000000−222−200
χ3022-22-2-22-222-2-2-2-222-200000200−2−22222−2−2000000000000-220000002−2−2200
χ312-2-2-22-2222-22-20000000-22-202000002-22-222−2−222−2−2000000002−22−2000000
χ322-2-2-22-2222-22-20000000-22-202000002-22-2−2−222−2−22200000000−22−22000000
χ332-2-2-22-2222-22-20000000-22-20200000-22-2222−2−222−2−200000000−22−22000000
χ342-2-2-22-2222-22-20000000-22-20200000-22-22−2−222−2−222000000002−22−2000000
χ352-2-2-22-222-22-220000000-2-220202-22-2000022−2−2−2−222000000002−2−22000000
χ362-2-2-22-222-22-220000000-2-220202-22-20000−2−22222−2−200000000−222−2000000
χ372-2-2-22-222-22-220000000-2-22020-22-22000022−2−2−2−22200000000−222−2000000
χ382-2-2-22-222-22-220000000-2-22020-22-220000−2−22222−2−2000000002−2−22000000
χ3944-44-4-44-4-4-44444-4-4-4000004000000000000000000000000000000000000
χ4044-44-4-44-4-4-444-4-444400000-4000000000000000000000000000000000000
χ4144-4-4-44-440000000004-400000000000000000022−2222−22000000000000000000
χ4244-4-4-44-440000000004-4000000000000000000−2222−2222000000000000000000
χ4344-4-4-44-44000000000-440000000000000022−2222−220000000000000000000000
χ4444-4-4-44-44000000000-4400000000000000−2222−22220000000000000000000000
χ454-444-4-4-4400004-44-4000000000000000002-2-222-2-22000000000000000000
χ464-444-4-4-4400004-44-400000000000000000-222-2-222-2000000000000000000
χ474-444-4-4-440000-44-44000000000000000002-2-22-222-2000000000000000000
χ484-444-4-4-440000-44-4400000000000000000-222-22-2-22000000000000000000
χ494-44-4-444-44-4-440000000000000000022−22−222200000000000000000000000000
χ504-44-4-444-44-4-4400000000000000000−222222−2200000000000000000000000000
χ514-44-4-444-4-444-4000000000000022−22−2222000000000000000000000000000000
χ524-44-4-444-4-444-40000000000000−222222−22000000000000000000000000000000
χ534-4-4444-4-400004-4-4400000000000000000000000002-22-200000000000000
χ544-4-4444-4-400004-4-440000000000000000000000000-22-2200000000000000
χ554-4-4444-4-40000-444-400000000000000000000000002-2-2200000000000000
χ564-4-4444-4-40000-444-40000000000000000000000000-222-200000000000000
χ574-4-4-44-4444-44-400000004-440-400000000000000000000000000000000000
χ584-4-4-44-444-44-44000000044-40-400000000000000000000000000000000000
χ59888-88-8-8-8000000000000000000000000000000000000000000000000000

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