Finite Group Databasebeta

← Group #336261

Character table — Group #336261

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488882244444488888888888888224444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-11111111111111111-1-11-1-1-1-1-111-1-1-1-1-1
χ3111111111111111111111111-1-11111-1-1111111-1-1-1-1-1-111-1-1-11-1-1-1-1-1-1-111
χ4111111111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-111-111-1-1111-1-1
χ51111111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11-1-1
χ61111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111111-111
χ71111111111111111111111-1-1-1-111-1-11111-1-1-1-111111111-1-1-1111-1-111-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-111-1-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-11-1111-111-1-1-1-1-11-1
χ10111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1-111-1-11-1-1-1-1111-11
χ11111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1111111-1
χ12111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-11-11111111-1-1-1-11
χ13111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111111-1111-1-1-1-1-111-1-11
χ14111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-111-1-1111-1-1-1-111-1
χ15111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-11-1-1-1-1-11111-1-11-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-11-1111-1-11111-11-1
χ17222222222-2-2222-2-2-2-20000222200-2-2-2-200000022000000-2000000000000
χ18222222222-2-2222-2-2-2-2000022-2-200-2-222000000-2-20000002000000000000
χ19222222222-2-2222-2-2-2-20000-2-222002222000000-2-2000000-2000000000000
χ20222222222-2-2222-2-2-2-20000-2-2-2-20022-2-2000000220000002000000000000
χ2122222222-222-2-2-222-2-222220000220000-2-20000000000-2-20002000000000
χ2222222222-222-2-2-222-2-222220000-2-20000-2-2000000000022000-2000000000
χ2322222222-222-2-2-222-2-2-2-2-2-20000220000220000000000-22000-2000000000
χ2422222222-222-2-2-222-2-2-2-2-2-20000-2-200002200000000002-20002000000000
χ2522-2-2-222-2-2222-22-2-2-2200000000000000002i2i−2i−2i0000000002i−2i000002-2000
χ2622-2-2-222-2-2222-22-2-2-2200000000000000002i2i−2i−2i000000000−2i2i00000-22000
χ2722-2-2-222-2-2222-22-2-2-220000000000000000−2i−2i2i2i0000000002i−2i00000-22000
χ2822-2-2-222-2-2222-22-2-2-220000000000000000−2i−2i2i2i000000000−2i2i000002-2000
χ292-22-2-22-222002-2-2000022−2−22-22i−2i0000002−22−22−22i−2ii2i2−i2−i200000000i2−i200000
χ302-22-2-22-222002-2-2000022−2−22-2−2i2i0000002−22−22−2−2i2i−i2−i2i2i200000000−i2i200000
χ312-22-2-22-222002-2-2000022−2−2-222i−2i0000002−2−22−22−2i2i−i2−i2i2i200000000i2−i200000
χ322-22-2-22-222002-2-2000022−2−2-22−2i2i0000002−2−22−222i−2ii2i2−i2−i200000000−i2i200000
χ332-22-2-22-222002-2-20000−2−2222-22i−2i000000−22−22−222i−2i−i2−i2i2i200000000−i2i200000
χ342-22-2-22-222002-2-20000−2−2222-2−2i2i000000−22−22−22−2i2ii2i2−i2−i200000000i2−i200000
χ352-22-2-22-222002-2-20000−2−222-222i−2i000000−222−22−2−2i2ii2i2−i2−i200000000−i2i200000
χ362-22-2-22-222002-2-20000−2−222-22−2i2i000000−222−22−22i−2i−i2−i2i2i200000000i2−i200000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ3844-44-4-4-44000000000022−2222−22000000002i2−2i2000000002i−2i2i−2i000000000000000
χ3944-44-4-4-44000000000022−2222−2200000000−2i22i200000000−2i2i−2i2i000000000000000
χ4044-44-4-4-440000000000−2222−2222000000002i2−2i200000000−2i2i−2i2i000000000000000
χ4144-44-4-4-440000000000−2222−222200000000−2i22i2000000002i−2i2i−2i000000000000000
χ4244-4-4-444-4444-44-4-4-44-400000000000000000000000000000000000000000
χ4344-4-4-444-44-4-4-44-444-4400000000000000000000000000000000000000000
χ4444-4-4-444-4-4-4-44-44444-400000000000000000000000000000000000000000
χ454-444-4-44-404-40004-400000000004i−4i0000000000000000000000000000000
χ464-444-4-44-404-40004-40000000000−4i4i0000000000000000000000000000000
χ474-444-4-44-40-44000-4400000000000000000000000000000000002i2−2i20000000
χ484-444-4-44-40-44000-440000000000000000000000000000000000−2i22i20000000
χ494-44-4-44-44-400-44400002222−22−220000000000−22220000000000000000000000000
χ504-44-4-44-44-400-4440000−22−222222000000000022−220000000000000000000000000
χ514-4-4444-4-4400-4-44000000000000004i−4i00000000000000000000000000000
χ524-4-4444-4-4400-4-4400000000000000−4i4i00000000000000000000000000000
χ534-4-4444-4-4-40044-4000000000000000000002i2−2i2−2i22i2000000000000000000000
χ544-4-4444-4-4-40044-400000000000000000000−2i22i22i2−2i2000000000000000000000
χ554-4-4-44-44404-4000-4400000000000000000000000022−22−2222000000000000000
χ564-4-4-44-44404-4000-44000000000000000000000000−222222−22000000000000000
χ574-4-4-44-4440-440004-4004-4-440000000000000000000000000000000000000
χ584-4-4-44-4440-440004-400-444-40000000000000000000000000000000000000
χ59888-88-8-8-8000000000000000000000000000000000000000000000000000

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