Finite Group Databasebeta

← Group #103349

Character table — Group #103349

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444444488888888888888888161616161616161616161616161616163232
order12222222222244444444444422224444488888888224444448888888844
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111-1-1-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ6111111111111111111111111-1-1-1-11-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1
χ7111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1
χ8111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111
χ92222222222222222-2-2-222-2-2-20000-2000000000000000022-2-20000000000
χ102222222222222222-2-2-222-2-2-20000-20000000000000000-2-2220000000000
χ11222222222222-2-2-2-2222-2-2-2-222222-2-2-2-2-200000000000000000000000000
χ12222222222222-2-2-2-2222-2-2-2-22-2-2-2-2-2222200000000000000000000000000
χ13222222222222-2-2-2-2-2-2-2-2-222-20000200000000000022-2-200000000000000
χ14222222222222-2-2-2-2-2-2-2-2-222-200002000000000000-2-22200000000000000
χ1522222222-2-2-2-2222222-2-2-222-20000-200002222-2-2-2-2000000000000000000
χ1622222222-2-2-2-2222222-2-2-222-20000-20000-2-2-2-22222000000000000000000
χ1722222222-2-2-2-22222-2-22-2-2-2-220000200000000000000000000000022-2-200
χ1822222222-2-2-2-22222-2-22-2-2-2-2200002000000000000000000000000-2-22200
χ1922222222-2-2-2-2-2-2-2-222-222-2-2-200002000000000000000000002i2i−2i−2i000000
χ2022222222-2-2-2-2-2-2-2-222-222-2-2-20000200000000000000000000−2i−2i2i2i000000
χ2122222222-2-2-2-2-2-2-2-2-2-22222220000-200000000000000000000000000002-2
χ2222222222-2-2-2-2-2-2-2-2-2-22222220000-20000000000000000000000000000-22
χ2322-22-22-2-222-2-200002-2-200002000002i2i−2i−2ii2i2−i2−i2i2i2−i2−i2000000002−22−2000000
χ2422-22-22-2-222-2-200002-2-200002000002i2i−2i−2i−i2−i2i2i2−i2−i2i2i200000000−22−22000000
χ2522-22-22-2-222-2-200002-2-20000200000−2i−2i2i2ii2i2−i2−i2i2i2−i2−i200000000−22−22000000
χ2622-22-22-2-222-2-200002-2-20000200000−2i−2i2i2i−i2−i2i2i2−i2−i2i2i2000000002−22−2000000
χ2722-22-22-2-2-2-22200002-220000-222-2-200000i2i2−i2−i2−i2−i2i2i200000000i2−i2−i2i2000000
χ2822-22-22-2-2-2-22200002-220000-222-2-200000−i2−i2i2i2i2i2−i2−i200000000−i2i2i2−i2000000
χ2922-22-22-2-2-2-22200002-220000-2-2-22200000i2i2−i2−i2−i2−i2i2i200000000−i2i2i2−i2000000
χ3022-22-22-2-2-2-22200002-220000-2-2-22200000−i2−i2i2i2i2i2−i2−i200000000i2−i2−i2i2000000
χ312-2-2-2-22222-22-2-2-2220002-20000000000002−22−22−22−20000002-200002−22−200
χ322-2-2-2-22222-22-2-2-2220002-20000000000002−22−22−22−2000000-220000−22−2200
χ332-2-2-2-22222-22-2-2-2220002-2000000000000−22−22−22−220000002-20000−22−2200
χ342-2-2-2-22222-22-2-2-2220002-2000000000000−22−22−22−22000000-2200002−22−200
χ352-2-2-2-2222-22-22-2-222000-220000000000002−22−2−22−2200002-20000002−2−2200
χ362-2-2-2-2222-22-22-2-222000-220000000000002−22−2−22−220000-22000000−222−200
χ372-2-2-2-2222-22-22-2-222000-22000000000000−22−222−22−200002-2000000−222−200
χ382-2-2-2-2222-22-22-2-222000-22000000000000−22−222−22−20000-220000002−2−2200
χ3944-44-44-4-444-4-40000-4440000-400000000000000000000000000000000000
χ4044-44-44-4-4-4-4440000-44-40000400000000000000000000000000000000000
χ4144-4-44-44-400004i−4i4i−4i00000000000000000000000002-22i−2i00000000000000
χ4244-4-44-44-400004i−4i4i−4i0000000000000000000000000-22−2i2i00000000000000
χ4344-4-44-44-40000−4i4i−4i4i00000000000000000000000002-2−2i2i00000000000000
χ4444-4-44-44-40000−4i4i−4i4i0000000000000000000000000-222i−2i00000000000000
χ454-444-4-44-400004i−4i−4i4i000000002-22-202i−2i2i−2i00000000000000000000000000
χ464-444-4-44-400004i−4i−4i4i00000000-22-220−2i2i−2i2i00000000000000000000000000
χ474-444-4-44-40000−4i4i4i−4i000000002-22-20−2i2i−2i2i00000000000000000000000000
χ484-444-4-44-40000−4i4i4i−4i00000000-22-2202i−2i2i−2i00000000000000000000000000
χ494-44-444-4-44-4-440000000000000000000002i−2i−2i2i2i−2i−2i2i000000000000000000
χ504-44-444-4-44-4-44000000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000
χ514-44-444-4-4-444-40000000000000000000002i−2i−2i2i−2i2i2i−2i000000000000000000
χ524-44-444-4-4-444-4000000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000
χ534-4-444-4-4400000000000004-402-2-2202-2-2200000000000000000000000000
χ544-4-444-4-4400000000000004-40-222-20-222-200000000000000000000000000
χ554-4-444-4-440000000000000-4402-2-220-222-200000000000000000000000000
χ564-4-444-4-440000000000000-440-222-202-2-2200000000000000000000000000
χ574-4-4-4-44444-44-444-4-4000-4400000000000000000000000000000000000000
χ584-4-4-4-4444-44-4444-4-40004-400000000000000000000000000000000000000
χ59888-8-8-8-88000000000000000000000000000000000000000000000000000

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