Finite Group Databasebeta

← Group #348056

Character table — Group #348056

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111122224444444444444444444448888888888888888888816161616323232323232
order12222244224444444888888888888222444444488888888884444448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11-111-1-1
χ611111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-111
χ711111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11-1-11111-1-1111111-1-11-1-1-111
χ811111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11-1-11111-1-11111-1-111-1111-1-1
χ911111111-1-1111-1-11111111111-1-1-1-1-11-11-11-1-11-111-1-1-1-111-1-11111-1-11-11-1
χ1011111111-1-1111-1-11111111111-1-1-1-1-11-11-11-1-11-111-1-1-1-111-1-1-1-1-1-111-11-11
χ1111111111-1-1111-1-11111111111-1-1-1-1-1-11-11-11-1-11-1-111-1-1-1-1111111-1-1-11-11
χ1211111111-1-1111-1-11111111111-1-1-1-1-1-11-11-11-1-11-1-111-1-1-1-111-1-1-1-1111-11-1
χ1311111111-1-1111-1-111-1-1-1-1-1-1-1-11111-11-11-11-1-11-1-1-11111-1-11111-1-1-111-1-11
χ1411111111-1-1111-1-111-1-1-1-1-1-1-1-11111-11-11-11-1-11-1-1-11111-1-111-1-1111-1-111-1
χ1511111111-1-1111-1-111-1-1-1-1-1-1-1-11111-1-11-11-11-1-1111-1-11111-1-111-1-1-11-111-1
χ1611111111-1-1111-1-111-1-1-1-1-1-1-1-11111-1-11-11-11-1-1111-1-11111-1-1-1-1111-11-1-11
χ172222222222-2-2222-2-22222-2-2-2-22222-2000000-2000000-2-200000000000000
χ182222222222-2-2222-2-2-2-2-2-22222-2-2-2-2-2000000-20000002200000000000000
χ1922222222-2-2-2-22-2-2-2-22222-2-2-2-2-2-2-2-2200000020000002200000000000000
χ2022222222-2-2-2-22-2-2-2-2-2-2-2-22222222220000002000000-2-200000000000000
χ21222222-2-22222-2-2-2-2-20000000000002000000-2002i−2i2i−2i002i−2i2i−2i0000000000
χ22222222-2-22222-2-2-2-2-20000000000002000000-200−2i2i−2i2i00−2i2i−2i2i0000000000
χ23222222-2-222-2-2-2-2-222000000000000-222-2-2222-2-200000000000000000000
χ24222222-2-222-2-2-2-2-222000000000000-2-2-222-2-222200000000000000000000
χ25222222-2-2-2-222-222-2-2000000000000-20000002002i−2i−2i2i002i−2i−2i2i0000000000
χ26222222-2-2-2-222-222-2-2000000000000-2000000200−2i2i2i−2i00−2i2i2i−2i0000000000
χ27222222-2-2-2-2-2-2-2222200000000000022-2-222-2-2-2200000000000000000000
χ28222222-2-2-2-2-2-2-222220000000000002-222-2-22-22-200000000000000000000
χ292222-2-222002-2-2002-222-2-222-2-200000020-20-200200220000-2-20000000000
χ302222-2-222002-2-2002-222-2-222-2-2000000-2020200-200-2-20000220000000000
χ312222-2-222002-2-2002-2-2-222-2-22200000020-20-200200-2-20000220000000000
χ322222-2-222002-2-2002-2-2-222-2-222000000-2020200-200220000-2-20000000000
χ332222-2-22200-22-200-2222-2-2-2-2220000020-20-20020-2-2000022000000000000
χ342222-2-22200-22-200-2222-2-2-2-22200000-2020200-20220000-2-2000000000000
χ352222-2-22200-22-200-22-2-22222-2-20000020-20-20020220000-2-2000000000000
χ362222-2-22200-22-200-22-2-22222-2-200000-2020200-20-2-2000022000000000000
χ372222-2-2-2-2002-2200-22000000002i2i−2i−2i02020-200-20002i−2i2i−2i00−2i2i0000000000
χ382222-2-2-2-2002-2200-22000000002i2i−2i−2i0-20-202002000−2i2i2i−2i002i−2i0000000000
χ392222-2-2-2-2002-2200-2200000000−2i−2i2i2i02020-200-2000−2i2i−2i2i002i−2i0000000000
χ402222-2-2-2-2002-2200-2200000000−2i−2i2i2i0-20-2020020002i−2i−2i2i00−2i2i0000000000
χ412222-2-2-2-200-222002-2000000002i2i−2i−2i002020-200-2−2i2i00−2i2i2i−2i000000000000
χ422222-2-2-2-200-222002-2000000002i2i−2i−2i00-20-2020022i−2i00−2i2i−2i2i000000000000
χ432222-2-2-2-200-222002-200000000−2i−2i2i2i002020-200-22i−2i002i−2i−2i2i000000000000
χ442222-2-2-2-200-222002-200000000−2i−2i2i2i00-20-202002−2i2i002i−2i2i−2i000000000000
χ454-44-44-400000004i−4i002i2−2i22i2−2i2000022−2222−22000000000000000000000000000000
χ464-44-44-400000004i−4i00−2i22i2−2i22i20000−2222−2222000000000000000000000000000000
χ474-44-44-40000000−4i4i002i2−2i22i2−2i20000−2222−2222000000000000000000000000000000
χ484-44-44-40000000−4i4i00−2i22i2−2i22i2000022−2222−22000000000000000000000000000000
χ494-44-4-44004-400000002i2−2i2−2i22i200002i2−2i2−2i22i2000000000000000000000000000000
χ504-44-4-44004-40000000−2i22i22i2−2i20000−2i22i22i2−2i2000000000000000000000000000000
χ514-44-4-4400-4400000002i2−2i2−2i22i20000−2i22i22i2−2i2000000000000000000000000000000
χ524-44-4-4400-440000000−2i22i22i2−2i200002i2−2i2−2i22i2000000000000000000000000000000
χ534-4-44004-40000000000000004i−4i0000000000000000000000002i−2i2-2000000
χ544-4-44004-40000000000000004i−4i000000000000000000000000−2i2i-22000000
χ554-4-44004-4000000000000000−4i4i0000000000000000000000002i−2i-22000000
χ564-4-44004-4000000000000000−4i4i000000000000000000000000−2i2i2-2000000
χ5788-8-80000000000000000042−42000000000000000000000000000000000000
χ5888-8-800000000000000000−4242000000000000000000000000000000000000
χ598-8-8800-88000000000000000000000000000000000000000000000000000

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