Finite Group Databasebeta

← Group #348274

Character table — Group #348274

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444448888888888888888888888888881616161616161616161616163232
order12222222444444444444444444444444444444444444488888888888844
χ111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1
χ4111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1
χ6111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111
χ8111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1
χ911111111-1-1-1-1111111-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-11-1
χ1011111111-1-1-1-1111111-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-11
χ1111111111-1-1-1-1111111-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111-1-1-1-111-11
χ1211111111-1-1-1-1111111-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111-1-11111-1-11-1
χ1311111111-1-1-1-1111111-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-11
χ1411111111-1-1-1-1111111-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111-1
χ1511111111-1-1-1-1111111-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-111-1-1111-1
χ1611111111-1-1-1-1111111-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-11111-1-111-1-1-11
χ172222222222222-2-22-2-22-2-200000000000022-2-2000022-2-200000000000000
χ182222222222222-2-22-2-22-2-2000000000000-2-2220000-2-22200000000000000
χ19222222222222-22-2-22-2-22-200000022-2-222000000-2-2000000000000000000
χ20222222222222-22-2-22-2-22-2000000-2-222-2-200000022000000000000000000
χ21222222222222-2-22-2-22-2-2222-2-2220000000000-2-200000000000000000000
χ22222222222222-2-22-2-22-2-22-2-222-2-200000000002200000000000000000000
χ2322222222-2-2-2-22-2-22-2-2-22200000000000022-2-20000-2-22200000000000000
χ2422222222-2-2-2-22-2-22-2-2-222000000000000-2-222000022-2-200000000000000
χ2522222222-2-2-2-2-22-2-22-22-2200000022-2-2-2-200000022000000000000000000
χ2622222222-2-2-2-2-22-2-22-22-22000000-2-22222000000-2-2000000000000000000
χ2722222222-2-2-2-2-2-22-2-2222-222-2-2-2-200000000002200000000000000000000
χ2822222222-2-2-2-2-2-22-2-2222-2-2-222220000000000-2-200000000000000000000
χ292-22-2-2-222000022-2-2-2200000002-22i−2i2i−2i002i−2i2i−2i2-200000000000000000000
χ302-22-2-2-222000022-2-2-2200000002-2−2i2i−2i2i00−2i2i−2i2i2-200000000000000000000
χ312-22-2-2-222000022-2-2-220000000-222i−2i2i−2i00−2i2i−2i2i-2200000000000000000000
χ322-22-2-2-222000022-2-2-220000000-22−2i2i−2i2i002i−2i2i−2i-2200000000000000000000
χ332-22-2-2-22200002-22-22-20002i−2i2i−2i0000002-22i−2i−2i2i002-2000000000000000000
χ342-22-2-2-22200002-22-22-20002i−2i2i−2i000000-22−2i2i2i−2i00-22000000000000000000
χ352-22-2-2-22200002-22-22-2000−2i2i−2i2i0000002-2−2i2i2i−2i002-2000000000000000000
χ362-22-2-2-22200002-22-22-2000−2i2i−2i2i000000-222i−2i−2i2i00-22000000000000000000
χ372-22-2-2-2220000-2222-2-20002i−2i−2i2i002i−2i−2i2i00000000002-22-200000000000000
χ382-22-2-2-2220000-2222-2-20002i−2i−2i2i00−2i2i2i−2i0000000000-22-2200000000000000
χ392-22-2-2-2220000-2222-2-2000−2i2i2i−2i002i−2i−2i2i0000000000-22-2200000000000000
χ402-22-2-2-2220000-2222-2-2000−2i2i2i−2i00−2i2i2i−2i00000000002-22-200000000000000
χ412-22-2-2-2220000-2-2-222200000002-200002-20000-22-222-2-2200000000000000
χ422-22-2-2-2220000-2-2-222200000002-20000-220000-222-2-222-200000000000000
χ432-22-2-2-2220000-2-2-22220000000-2200002-200002-2-22-222-200000000000000
χ442-22-2-2-2220000-2-2-22220000000-220000-2200002-22-22-2-2200000000000000
χ454444-4-4-4-444-4-40000000000000000000000000000000002-22-20000000000
χ464444-4-4-4-444-4-4000000000000000000000000000000000-22-220000000000
χ474444-4-4-4-4-4-4440000000000000000000000000000000002-2-220000000000
χ484444-4-4-4-4-4-444000000000000000000000000000000000-222-20000000000
χ494-4-444-44-44i−4i4i−4i00000000000000000000000000000000000002-22i−2i000000
χ504-4-444-44-44i−4i4i−4i0000000000000000000000000000000000000-22−2i2i000000
χ514-4-444-44-4−4i4i−4i4i00000000000000000000000000000000000002-2−2i2i000000
χ524-4-444-44-4−4i4i−4i4i0000000000000000000000000000000000000-222i−2i000000
χ534-4-44-44-444i−4i−4i4i000000000000000000000000000000000000000002i−2i2-200
χ544-4-44-44-444i−4i−4i4i00000000000000000000000000000000000000000−2i2i-2200
χ554-4-44-44-44−4i4i4i−4i000000000000000000000000000000000000000002i−2i-2200
χ564-4-44-44-44−4i4i4i−4i00000000000000000000000000000000000000000−2i2i2-200
χ5788-8-88-8-88000000000000000000000000000000000000000000000000000
χ5888-8-8-888-8000000000000000000000000000000000000000000000000000
χ598-88-888-8-8000000000000000000000000000000000000000000000000000

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