Finite Group Databasebeta

← Group #349418

Character table — Group #349418

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444448888888888888888888888888881616161616161616161616163232
order12222222444444444444444444444444444444444444488888888888844
χ111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1
χ61111111111111111111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111
χ81111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111111111-1-1
χ911111111-1-1-1-1111111-11111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11-1
χ1011111111-1-1-1-1111111-11111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-11
χ1111111111-1-1-1-1111111-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-11
χ1211111111-1-1-1-1111111-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-11-1
χ1311111111-1-1-1-1111111-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-11
χ1411111111-1-1-1-1111111-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1111-1
χ1511111111-1-1-1-1111111-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-111-1-1111-1
χ1611111111-1-1-1-1111111-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1-111-1-1-11
χ172222222222222-2-22-2-2200000000000022-2-2-2-2000022-2-200000000000000
χ182222222222222-2-22-2-22000000000000-2-222-2-20000-2-22200000000000000
χ19222222222222-22-2-22-2-200000022-2-22200002-200-2-2000000000000000000
χ20222222222222-22-2-22-2-2000000-2-222-2-200002-20022000000000000000000
χ21222222222222-2-22-2-22-222-2-2220000000000-22-2-200000000000000000000
χ22222222222222-2-22-2-22-2-2-222-2-20000000000-222200000000000000000000
χ2322222222-2-2-2-22-2-22-2-2-200000000000022-2-2220000-2-22200000000000000
χ2422222222-2-2-2-22-2-22-2-2-2000000000000-2-22222000022-2-200000000000000
χ2522222222-2-2-2-2-22-2-22-2200000022-2-2-2-20000-220022000000000000000000
χ2622222222-2-2-2-2-22-2-22-22000000-2-222220000-2200-2-2000000000000000000
χ2722222222-2-2-2-2-2-22-2-22222-2-2-2-200000000002-22200000000000000000000
χ2822222222-2-2-2-2-2-22-2-222-2-2222200000000002-2-2-200000000000000000000
χ292-2222-2-2-20000222-2-2-202-22-2002-22-2002-22-2000000000000000000000000
χ302-2222-2-2-20000222-2-2-202-22-200-22-2200-22-22000000000000000000000000
χ312-2222-2-2-20000222-2-2-20-22-22002-22-200-22-22000000000000000000000000
χ322-2222-2-2-20000222-2-2-20-22-2200-22-22002-22-2000000000000000000000000
χ332-2222-2-2-200002-2-2-222000002i−2i00002i−2i2-2-22002i−2i2i−2i000000000000000000
χ342-2222-2-2-200002-2-2-222000002i−2i0000−2i2i-222-2002i−2i−2i2i000000000000000000
χ352-2222-2-2-200002-2-2-22200000−2i2i00002i−2i-222-200−2i2i2i−2i000000000000000000
χ362-2222-2-2-200002-2-2-22200000−2i2i0000−2i2i2-2-2200−2i2i−2i2i000000000000000000
χ372-2222-2-2-20000-22-22-22000002i−2i2-2-2200000000−2i2i002i−2i2i−2i00000000000000
χ382-2222-2-2-20000-22-22-22000002i−2i-222-200000000−2i2i00−2i2i−2i2i00000000000000
χ392-2222-2-2-20000-22-22-2200000−2i2i2-2-22000000002i−2i00−2i2i−2i2i00000000000000
χ402-2222-2-2-20000-22-22-2200000−2i2i-222-2000000002i−2i002i−2i2i−2i00000000000000
χ412-2222-2-2-20000-2-2222-202-2-220000002i−2i00000000−2i2i2i−2i−2i2i00000000000000
χ422-2222-2-2-20000-2-2222-202-2-22000000−2i2i000000002i−2i−2i2i2i−2i00000000000000
χ432-2222-2-2-20000-2-2222-20-222-20000002i−2i00000000−2i2i−2i2i2i−2i00000000000000
χ442-2222-2-2-20000-2-2222-20-222-2000000−2i2i000000002i−2i2i−2i−2i2i00000000000000
χ45444-4-44-4-444-4-40000000000000000000000000000000002-22-20000000000
χ46444-4-44-4-444-4-4000000000000000000000000000000000-22-220000000000
χ47444-4-44-4-4-4-4440000000000000000000000000000000002-2-220000000000
χ48444-4-44-4-4-4-444000000000000000000000000000000000-222-20000000000
χ494-4-44-444-44i−4i4i−4i00000000000000000000000000000000000002-22i−2i000000
χ504-4-44-444-44i−4i4i−4i0000000000000000000000000000000000000-22−2i2i000000
χ514-4-44-444-4−4i4i−4i4i00000000000000000000000000000000000002-2−2i2i000000
χ524-4-44-444-4−4i4i−4i4i0000000000000000000000000000000000000-222i−2i000000
χ534-4-4-444-444i−4i−4i4i000000000000000000000000000000000000000002i−2i2-200
χ544-4-4-444-444i−4i−4i4i00000000000000000000000000000000000000000−2i2i-2200
χ554-4-4-444-44−4i4i4i−4i000000000000000000000000000000000000000002i−2i-2200
χ564-4-4-444-44−4i4i4i−4i00000000000000000000000000000000000000000−2i2i2-200
χ5788-88-8-8-88000000000000000000000000000000000000000000000000000
χ5888-8-88-88-8000000000000000000000000000000000000000000000000000
χ598-88-8-8-888000000000000000000000000000000000000000000000000000

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