Finite Group Databasebeta

← Group #103641

Character table — Group #103641

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444444488888888888888888161616161616161616161616161616163232
order12222222222244444444444448888888888888888444444448888888824
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
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
χ71111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111
χ81111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ92222222222222222-2-2-22-2-2-22-2000000000000000022-2-200000000000000
χ102222222222222222-2-2-22-2-2-22-20000000000000000-2-22200000000000000
χ11222222222222-2-2-2-222-2-2-2-2-2-2200000000000000000000000000002i2i−2i−2i00
χ12222222222222-2-2-2-222-2-2-2-2-2-220000000000000000000000000000−2i−2i2i2i00
χ13222222222222-2-2-2-2-2-22-2222-2-22222-2-2-2-200000000000000000000000000
χ14222222222222-2-2-2-2-2-22-2222-2-2-2-2-2-2222200000000000000000000000000
χ1522222222-2-2-2-2222222-2-222-2-2-2000000000000000000000000000000002-2
χ1622222222-2-2-2-2222222-2-222-2-2-200000000000000000000000000000000-22
χ1722222222-2-2-2-22222-2-22-2-2-22-2200000000000000000000000022-2-2000000
χ1822222222-2-2-2-22222-2-22-2-2-22-22000000000000000000000000-2-222000000
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
χ2122222222-2-2-2-2-2-2-2-2-2-2-2222-2220000000000000000000022-2-20000000000
χ2222222222-2-2-2-2-2-2-2-2-2-2-2222-22200000000000000000000-2-2220000000000
χ2322-2-22-22-222-2-222-2-2000-200020i2i2−i2−i2i2i2−i2−i2000000002i−2i00000000002−22−200
χ2422-2-22-22-222-2-222-2-2000-200020i2i2−i2−i2i2i2−i2−i200000000−2i2i0000000000−22−2200
χ2522-2-22-22-222-2-222-2-2000-200020−i2−i2i2i2−i2−i2i2i2000000002i−2i0000000000−22−2200
χ2622-2-22-22-222-2-222-2-2000-200020−i2−i2i2i2−i2−i2i2i200000000−2i2i00000000002−22−200
χ2722-2-22-22-222-2-2-2-2220002000-20i2i2−i2−i2−i2−i2i2i200000000002-200000000i2−i2−i2i200
χ2822-2-22-22-222-2-2-2-2220002000-20i2i2−i2−i2−i2−i2i2i20000000000-2200000000−i2i2i2−i200
χ2922-2-22-22-222-2-2-2-2220002000-20−i2−i2i2i2i2i2−i2−i200000000002-200000000−i2i2i2−i200
χ3022-2-22-22-222-2-2-2-2220002000-20−i2−i2i2i2i2i2−i2−i20000000000-2200000000i2−i2−i2i200
χ312-22-22-2-222-22-2000000202-2-20000002-22-2i2i2−i2−i2i2i2−i2−i200000000i2−i2i2−i2000000
χ322-22-22-2-222-22-2000000202-2-20000002-22-2−i2−i2i2i2−i2−i2i2i200000000−i2i2−i2i2000000
χ332-22-22-2-222-22-2000000202-2-2000000-22-22i2i2−i2−i2i2i2−i2−i200000000−i2i2−i2i2000000
χ342-22-22-2-222-22-2000000202-2-2000000-22-22−i2−i2i2i2−i2−i2i2i200000000i2−i2i2−i2000000
χ352-22-22-2-22-22-2200000020-22-2002-22-20000i2i2−i2−i2−i2−i2i2i200000000i2−i2−i2i2000000
χ362-22-22-2-22-22-2200000020-22-2002-22-20000−i2−i2i2i2i2i2−i2−i200000000−i2i2i2−i2000000
χ372-22-22-2-22-22-2200000020-22-200-22-220000i2i2−i2−i2−i2−i2i2i200000000−i2i2i2−i2000000
χ382-22-22-2-22-22-2200000020-22-200-22-220000−i2−i2i2i2i2i2−i2−i200000000i2−i2−i2i2000000
χ3944-44-4-4-44000000004-400000000000000000002i2−2i22i2−2i2000000000000000000
χ4044-44-4-4-44000000004-40000000000000000000−2i22i2−2i22i2000000000000000000
χ4144-44-4-4-4400000000-440000000000000002i2−2i22i2−2i20000000000000000000000
χ4244-44-4-4-4400000000-44000000000000000−2i22i2−2i22i20000000000000000000000
χ4344-4-44-44-4-4-44444-4-40004000-400000000000000000000000000000000000
χ4444-4-44-44-4-4-444-4-444000-4000400000000000000000000000000000000000
χ454-444-4-44-400004-44-4000000000000000000000000000002i−2i2i−2i0000000000
χ464-444-4-44-400004-44-400000000000000000000000000000−2i2i−2i2i0000000000
χ474-444-4-44-40000-44-44000000000000000000000000000002i−2i−2i2i0000000000
χ484-444-4-44-40000-44-4400000000000000000000000000000−2i2i2i−2i0000000000
χ494-44-44-4-444-44-4000000-40-444000000000000000000000000000000000000
χ504-44-44-4-44-44-44000000-404-44000000000000000000000000000000000000
χ514-4-4444-4-44-4-44000000000000000002i2−2i2−2i22i200000000000000000000000000
χ524-4-4444-4-44-4-4400000000000000000−2i22i22i2−2i200000000000000000000000000
χ534-4-4444-4-4-444-400000000000002i2−2i2−2i22i2000000000000000000000000000000
χ544-4-4444-4-4-444-40000000000000−2i22i22i2−2i2000000000000000000000000000000
χ554-4-4-4-444400004-4-44000000000000000002-2-222-2-22000000000000000000
χ564-4-4-4-444400004-4-4400000000000000000-222-2-222-2000000000000000000
χ574-4-4-4-44440000-444-4000000000000000002-2-22-222-2000000000000000000
χ584-4-4-4-44440000-444-400000000000000000-222-22-2-22000000000000000000
χ59888-8-88-8-8000000000000000000000000000000000000000000000000000

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