Finite Group Databasebeta

← Group #328755

Character table — Group #328755

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444444488888888888888888161616161616161616161616161616163232
order12222222444444444444444422444444488888888244444448888888824
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
χ5111111111111111111111111-1-1-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111-1-1-1-11-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ7111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111
χ8111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ911111111111111111-1-1-1-1-1-1111-1-1-1-1-1111111-1-1-1-111-1-111-1-111-1-111-1-11-1
χ1011111111111111111-1-1-1-1-1-1111-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-111-11
χ1111111111111111111-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-111-1-111-11
χ1211111111111111111-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-11111-1-111-1-111-1-11111-1-11-1
χ1311111111111111111-1-1-1-1-1-11-1-111-111-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1-11
χ1411111111111111111-1-1-1-1-1-11-1-111-111-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1111-1
χ1511111111111111111-1-1-1-1-1-11-1-111-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111-1
χ1611111111111111111-1-1-1-1-1-11-1-111-111-1-1-1-1-1-11111-1-11111-1-111-1-111-1-1-11
χ172222222222-2-222-2-2-222-2-222-222-2-2-222-2-200000000000000000000000000
χ182222222222-2-222-2-2-222-2-222-2-2-222-2-2-22200000000000000000000000000
χ192222222222-2-222-2-2-2-2-222-2-2-222222-2-2-2-200000000000000000000000000
χ202222222222-2-222-2-2-2-2-222-2-2-2-2-2-2-22222200000000000000000000000000
χ2122222222-2-222-2-222-222-2-2-2-2-2000020000000000002-2-2200000000000000
χ2222222222-2-222-2-222-222-2-2-2-2-200002000000000000-222-200000000000000
χ2322222222-2-222-2-222-2-2-22222-20000-20000000000002-22-200000000000000
χ2422222222-2-222-2-222-2-2-22222-20000-2000000000000-22-2200000000000000
χ2522222222-2-2-2-2-2-2-2-222222-2-220000-200000000000000002-22-20000000000
χ2622222222-2-2-2-2-2-2-2-222222-2-220000-20000000000000000-22-220000000000
χ2722222222-2-2-2-2-2-2-2-22-2-2-2-22220000200000000000000002-2-220000000000
χ2822222222-2-2-2-2-2-2-2-22-2-2-2-2222000020000000000000000-222-20000000000
χ292-222-22-2-22-2002-20002i−2i002i−2i02-20002i−2i0022−2−2i2i2−i2−i2000000002−2i2−i2000000
χ302-222-22-2-22-2002-20002i−2i002i−2i02-20002i−2i00−2−222−i2−i2i2i200000000−22−i2i2000000
χ312-222-22-2-22-2002-20002i−2i002i−2i0-22000−2i2i0022−2−2i2i2−i2−i200000000−22−i2i2000000
χ322-222-22-2-22-2002-20002i−2i002i−2i0-22000−2i2i00−2−222−i2−i2i2i2000000002−2i2−i2000000
χ332-222-22-2-22-2002-2000−2i2i00−2i2i02-2000−2i2i0022−2−2−i2−i2i2i2000000002−2−i2i2000000
χ342-222-22-2-22-2002-2000−2i2i00−2i2i02-2000−2i2i00−2−222i2i2−i2−i200000000−22i2−i2000000
χ352-222-22-2-22-2002-2000−2i2i00−2i2i0-220002i−2i0022−2−2−i2−i2i2i200000000−22i2−i2000000
χ362-222-22-2-22-2002-2000−2i2i00−2i2i0-220002i−2i00−2−222i2i2−i2−i2000000002−2−i2i2000000
χ37444-4-4-4-444444-4-4-4-44000000-400000000000000000000000000000000000
χ38444-4-4-4-4444-4-4-4-444-4000000400000000000000000000000000000000000
χ39444-4-4-4-44-4-44444-4-4-4000000400000000000000000000000000000000000
χ40444-4-4-4-44-4-4-4-444444000000-400000000000000000000000000000000000
χ4144-4-4-444-4000000000004i−4i0000000000002-22-22i−2i2i−2i000000000000000000
χ4244-4-4-444-4000000000004i−4i000000000000-22-22−2i2i−2i2i000000000000000000
χ4344-4-4-444-400000000000−4i4i0000000000002-22-2−2i2i−2i2i000000000000000000
χ4444-4-4-444-400000000000−4i4i000000000000-22-222i−2i2i−2i000000000000000000
χ454-444-44-4-4-4400-440004i−4i00−4i4i000000000000000000000000000000000000
χ464-444-44-4-4-4400-44000−4i4i004i−4i000000000000000000000000000000000000
χ474-44-44-44-44-400-44000000000000000004i−4i00000000000000000000000000
χ484-44-44-44-44-400-4400000000000000000−4i4i00000000000000000000000000
χ494-44-44-44-4-44004-40000000000004i−4i0000000000000000000000000000000
χ504-44-44-44-4-44004-4000000000000−4i4i0000000000000000000000000000000
χ514-4-44-4-444004-4004-400000000000000000000000000000000000000022−2200
χ524-4-44-4-444004-4004-4000000000000000000000000000000000000000−222200
χ534-4-44-4-44400-4400-44000000000000000000000000000000000000022−220000
χ544-4-44-4-44400-4400-440000000000000000000000000000000000000−22220000
χ554-4-4-444-44004-400-4400000000000000000000022−22−2222000000000000000000
χ564-4-4-444-44004-400-44000000000000000000000−222222−22000000000000000000
χ574-4-4-444-4400-44004-40000000000000000022−22−22220000000000000000000000
χ584-4-4-444-4400-44004-400000000000000000−222222−220000000000000000000000
χ5988-888-8-8-8000000000000000000000000000000000000000000000000000

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