Finite Group Databasebeta

← Group #328752

Character table — Group #328752

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444444488888888888888888161616161616161616161616161616163232
order12222222444444444444444422444444488888888244444448888888844
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111111111111-1-1-1-11-1-1-1-111111111111-1-11-1-11111-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-11-1-1-1-111111111-1-1-111-111-1-1-1-1-1-1-1-111
χ7111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-1-1111111
χ8111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111111111-1-1
χ911111111111111111-1-1-1-1-1-1111-1-1-1-1-1111111-1-1-1-11-1-1111-1-111-1-111-1-11-1
χ1011111111111111111-1-1-1-1-1-1111-1-1-1-1-1111111-1-1-1-1-111-1-1-111-1-11111-1-1-11
χ1111111111111111111-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-111111-1-1111-1-1-1-111-1-111-11
χ1211111111111111111-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-11111-111-1-1-11111-1-1-1-1111-1
χ1311111111111111111-1-1-1-1-1-11-1-111-111-1-11111-1-1-1-11-1-1-1-111111-1-1-1-111-11
χ1411111111111111111-1-1-1-1-1-11-1-111-111-1-11111-1-1-1-1-11111-1-1-1-1-111-1-1111-1
χ1511111111111111111-1-1-1-1-1-11-1-111-111-1-1-1-1-1-111111-1-1-1-1111-1-11111-1-11-1
χ1611111111111111111-1-1-1-1-1-11-1-111-111-1-1-1-1-1-11111-11111-1-1-111-1-111-1-1-11
χ172222222222-2-2-222-2-222-2-222-222-2-2-222-2-200000000000000000000000000
χ182222222222-2-2-222-2-222-2-222-2-2-222-2-2-22200000000000000000000000000
χ192222222222-2-2-222-2-2-2-222-2-2-222222-2-2-2-200000000000000000000000000
χ202222222222-2-2-222-2-2-2-222-2-2-2-2-2-2-22222200000000000000000000000000
χ2122222222-2-2222-2-22-222-2-2-2-2-2000020000000000002-2200-2000000000000
χ2222222222-2-2222-2-22-222-2-2-2-2-200002000000000000-22-2002000000000000
χ2322222222-2-2222-2-22-2-2-22222-20000-200000000000022-200-2000000000000
χ2422222222-2-2222-2-22-2-2-22222-20000-2000000000000-2-22002000000000000
χ2522222222-2-2-2-2-2-2-2-222222-2-220000-20000000000000002-202-20000000000
χ2622222222-2-2-2-2-2-2-2-222222-2-220000-2000000000000000-220-220000000000
χ2722222222-2-2-2-2-2-2-2-22-2-2-2-2222000020000000000000002-20-220000000000
χ2822222222-2-2-2-2-2-2-2-22-2-2-2-222200002000000000000000-2202-20000000000
χ292-22-22-22-22-20002-2002i−2i002i−2i02-20002i−2i0022−2−2i2i2−i2−i20000000000002−2i2−i200
χ302-22-22-22-22-20002-2002i−2i002i−2i02-20002i−2i00−2−222−i2−i2i2i2000000000000−22−i2i200
χ312-22-22-22-22-20002-2002i−2i002i−2i0-22000−2i2i0022−2−2i2i2−i2−i2000000000000−22−i2i200
χ322-22-22-22-22-20002-2002i−2i002i−2i0-22000−2i2i00−2−222−i2−i2i2i20000000000002−2i2−i200
χ332-22-22-22-22-20002-200−2i2i00−2i2i02-2000−2i2i0022−2−2−i2−i2i2i20000000000002−2−i2i200
χ342-22-22-22-22-20002-200−2i2i00−2i2i02-2000−2i2i00−2−222i2i2−i2−i2000000000000−22i2−i200
χ352-22-22-22-22-20002-200−2i2i00−2i2i0-220002i−2i0022−2−2−i2−i2i2i2000000000000−22i2−i200
χ362-22-22-22-22-20002-200−2i2i00−2i2i0-220002i−2i00−2−222i2i2−i2−i20000000000002−2−i2i200
χ374444-4-4-4-4000000000004-40000000000002-22-22-22-2000000000000000000
χ384444-4-4-4-4000000000004-4000000000000-22-22-22-22000000000000000000
χ394444-4-4-4-400000000000-440000000000002-22-2-22-22000000000000000000
χ404444-4-4-4-400000000000-44000000000000-22-222-22-2000000000000000000
χ4144-4-4-4-4444444-4-4-4-44000000-400000000000000000000000000000000000
χ4244-4-4-4-44444-4-44-4-44-4000000400000000000000000000000000000000000
χ4344-4-4-4-444-4-444-444-4-4000000400000000000000000000000000000000000
χ4444-4-4-4-444-4-4-4-444444000000-400000000000000000000000000000000000
χ454-44-44-44-4-44000-44004i−4i00−4i4i000000000000000000000000000000000000
χ464-44-44-44-4-44000-4400−4i4i004i−4i000000000000000000000000000000000000
χ474-44-4-44-44004-4400-40000000000000000000002i2−2i2−2i22i2000000000000000000
χ484-44-4-44-44004-4400-4000000000000000000000−2i22i22i2−2i2000000000000000000
χ494-44-4-44-4400-44-40040000000000000000022−22−22220000000000000000000000
χ504-44-4-44-4400-44-400400000000000000000−222222−220000000000000000000000
χ514-4-444-4-44004-4-40040000000000000000000000000000000000022−22000000
χ524-4-444-4-44004-4-400400000000000000000000000000000000000−2222000000
χ534-4-444-4-4400-44400-40000000000000000000000000000000002i2−2i200000000
χ544-4-444-4-4400-44400-4000000000000000000000000000000000−2i22i200000000
χ554-4-44-444-44-4000-4400000000000000004i−4i00000000000000000000000000
χ564-4-44-444-44-4000-440000000000000000−4i4i00000000000000000000000000
χ574-4-44-444-4-440004-4000000000004i−4i0000000000000000000000000000000
χ584-4-44-444-4-440004-400000000000−4i4i0000000000000000000000000000000
χ5988-8-888-8-8000000000000000000000000000000000000000000000000000

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