Finite Group Databasebeta

← Group #335975

Character table — Group #335975

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488882244444488888888888888444444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-11111111111111111-11-1-1-1-111-1-1-1-1-1-1-1
χ3111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1
χ4111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111111-11
χ51111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-11-11
χ61111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-11-1
χ71111111111111111111111-1-1-1-111-1-111-1-1-1-1111111111-111-1-1-1-11111-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-11-1-1
χ10111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1111-1-1-1-1-1-111-111
χ11111111111111111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-11
χ12111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1111-1-1-1-111-1-111-1
χ13111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111-1-11111-1
χ14111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-11
χ15111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11-1-1-1-1-11111-1-1-111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1111-1-1
χ17222222222-2-2222-2-2-2-2222200002200-2-2000000000000-202-200000000000
χ18222222222-2-2222-2-2-2-222220000-2-200-2-200000000000020-2200000000000
χ19222222222-2-2222-2-2-2-2-2-2-2-20000220022000000000000-20-2200000000000
χ20222222222-2-2222-2-2-2-2-2-2-2-20000-2-20022000000000000202-200000000000
χ2122222222-222-2-2-222-2-20000222200-2-200000022-2-200000-20000000000000
χ2222222222-222-2-2-222-2-2000022-2-20022000000-2-22200000-20000000000000
χ2322222222-222-2-2-222-2-20000-2-22200-2-2000000-2-2220000020000000000000
χ2422222222-222-2-2-222-2-20000-2-2-2-2002200000022-2-20000020000000000000
χ252-22-2-222-202-20002-200i2i2−i2−i22-200002-2i2−i2i2i2−i2−i2002-2i2i2−i2−i2000000i2−i20000000
χ262-22-2-222-202-20002-200i2i2−i2−i22-20000-22i2−i2−i2−i2i2i200-22−i2−i2i2i2000000i2−i20000000
χ272-22-2-222-202-20002-200i2i2−i2−i2-2200002-2i2−i2i2i2−i2−i200-22−i2−i2i2i2000000−i2i20000000
χ282-22-2-222-202-20002-200i2i2−i2−i2-220000-22i2−i2−i2−i2i2i2002-2i2i2−i2−i2000000−i2i20000000
χ292-22-2-222-202-20002-200−i2−i2i2i22-200002-2−i2i2−i2−i2i2i2002-2−i2−i2i2i2000000−i2i20000000
χ302-22-2-222-202-20002-200−i2−i2i2i22-20000-22−i2i2i2i2−i2−i200-22i2i2−i2−i2000000−i2i20000000
χ312-22-2-222-202-20002-200−i2−i2i2i2-2200002-2−i2i2−i2−i2i2i200-22i2i2−i2−i2000000i2−i20000000
χ322-22-2-222-202-20002-200−i2−i2i2i2-220000-22−i2i2i2i2−i2−i2002-2−i2−i2i2i2000000i2−i20000000
χ332-2-222-22-2-2222-22-2-2-22000000000000002-22-20000000000002i−2i00002i−2i000
χ342-2-222-22-2-2222-22-2-2-22000000000000002-22-2000000000000−2i2i0000−2i2i000
χ352-2-222-22-2-2222-22-2-2-2200000000000000-22-220000000000002i−2i0000−2i2i000
χ362-2-222-22-2-2222-22-2-2-2200000000000000-22-22000000000000−2i2i00002i−2i000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ384444-4-4-4-4400-4-440000000000000000000000000022−2222−22000000000000000
χ394444-4-4-4-4400-4-4400000000000000000000000000−2222−2222000000000000000
χ404444-4-4-4-4-40044-400004-44-40000000000000000000000000000000000000
χ414444-4-4-4-4-40044-40000-44-440000000000000000000000000000000000000
χ4244-4-4-4-44404-4000-4400000000000000002i2−2i2−2i22i200000000000000000000000
χ4344-4-4-4-44404-4000-440000000000000000−2i22i22i2−2i200000000000000000000000
χ4444-4-4-4-4440-440004-4000000004i−4i000000000000000000000000000000000
χ4544-4-4-4-4440-440004-400000000−4i4i000000000000000000000000000000000
χ464-44-44-4-4400000000002i2−2i2−2i22i20000000000000022−22002i−2i−2i2i000000000000000
χ474-44-44-4-4400000000002i2−2i2−2i22i200000000000000−222200−2i2i2i−2i000000000000000
χ484-44-44-4-440000000000−2i22i22i2−2i20000000000000022−2200−2i2i2i−2i000000000000000
χ494-44-44-4-440000000000−2i22i22i2−2i200000000000000−2222002i−2i−2i2i000000000000000
χ504-44-4-444-40-44000-44002i22i2−2i2−2i200000000−2i22i2000000000000000000000000000
χ514-44-4-444-40-44000-4400−2i2−2i22i22i2000000002i2−2i2000000000000000000000000000
χ524-4-444-44-4444-44-4-4-44-400000000000000000000000000000000000000000
χ534-4-444-44-44-4-4-44-444-4400000000000000000000000000000000000000000
χ544-4-444-44-4-4-4-44-44444-400000000000000000000000000000000000000000
χ554-4-44-44-444004-4-4000000000000000000000000000000000000002i2−2i200000
χ564-4-44-44-444004-4-400000000000000000000000000000000000000−2i22i200000
χ574-4-44-44-44-400-4440000000000004-40000000000000000000000000000000
χ584-4-44-44-44-400-444000000000000-440000000000000000000000000000000
χ5988-8-888-8-8000000000000000000000000000000000000000000000000000

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