Finite Group Databasebeta

← Group #348057

Character table — Group #348057

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111122224444444444444444444448888888888888888888816161616323232323232
order12222244444444444888888888888224444444488888888884444448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-11-1-1-1-11-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111-1-11-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
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
χ711111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-11111-1-1111111-1-11-1-1-111
χ811111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-11111-1-11111-1-111-1111-1-1
χ911111111-1-1111-1-11111111111-1-1-1-11-1-11-11-1-11-111-1-1-1-111-1-11111-1-11-11-1
χ1011111111-1-1111-1-11111111111-1-1-1-11-1-11-11-1-11-111-1-1-1-111-1-1-1-1-1-111-11-11
χ1111111111-1-1111-1-11111111111-1-1-1-1-11-1-11-11-1-11-1-111-1-1-1-1111111-1-1-11-11
χ1211111111-1-1111-1-11111111111-1-1-1-1-11-1-11-11-1-11-1-111-1-1-1-111-1-1-1-1111-11-1
χ1311111111-1-1111-1-111-1-1-1-1-1-1-1-111111-1-11-11-1-11-1-1-11111-1-11111-1-1-111-1-11
χ1411111111-1-1111-1-111-1-1-1-1-1-1-1-111111-1-11-11-1-11-1-1-11111-1-111-1-1111-1-111-1
χ1511111111-1-1111-1-111-1-1-1-1-1-1-1-11111-11-1-11-11-1-1111-1-11111-1-111-1-1-11-111-1
χ1611111111-1-1111-1-111-1-1-1-1-1-1-1-11111-11-1-11-11-1-1111-1-11111-1-1-1-1111-11-1-11
χ1722222222222-2-222-2-22222-2-2-2-2-2-2-2-200-20000-20000002200000000000000
χ1822222222222-2-222-2-2-2-2-2-22222222200-20000-2000000-2-200000000000000
χ1922222222-2-22-2-2-2-2-2-22222-2-2-2-2222200200002000000-2-200000000000000
χ2022222222-2-22-2-2-2-2-2-2-2-2-2-22222-2-2-2-2002000020000002200000000000000
χ21222222-2-222-222-2-2-2-20000000000000020000-2002i−2i2i−2i002i−2i2i−2i0000000000
χ22222222-2-222-222-2-2-2-20000000000000020000-200−2i2i−2i2i00−2i2i−2i2i0000000000
χ23222222-2-222-2-2-2-2-2220000000000002-2-2-22-2222-200000000000000000000
χ24222222-2-222-2-2-2-2-222000000000000-22-22-22-22-2200000000000000000000
χ25222222-2-2-2-2-22222-2-200000000000000-200002002i−2i−2i2i002i−2i−2i2i0000000000
χ26222222-2-2-2-2-22222-2-200000000000000-20000200−2i2i2i−2i00−2i2i2i−2i0000000000
χ27222222-2-2-2-2-2-2-22222000000000000222-2-2-2-2-22200000000000000000000
χ28222222-2-2-2-2-2-2-22222000000000000-2-222222-2-2-200000000000000000000
χ292222-2-22200-22-2002-222-2-222-2-200000200-20200-200220000-2-20000000000
χ302222-2-22200-22-2002-222-2-222-2-200000-20020-200200-2-20000220000000000
χ312222-2-22200-22-2002-2-2-222-2-22200000200-20200-200-2-20000220000000000
χ322222-2-22200-22-2002-2-2-222-2-22200000-20020-200200220000-2-20000000000
χ332222-2-22200-2-2200-2222-2-2-2-2220000200-20200-20220000-2-2000000000000
χ342222-2-22200-2-2200-2222-2-2-2-2220000-20020-20020-2-2000022000000000000
χ352222-2-22200-2-2200-22-2-22222-2-20000200-20200-20-2-2000022000000000000
χ362222-2-22200-2-2200-22-2-22222-2-20000-20020-20020220000-2-2000000000000
χ372222-2-2-2-20022-200-22000000002i2i−2i−2i20020-200-20002i−2i2i−2i00−2i2i0000000000
χ382222-2-2-2-20022-200-22000000002i2i−2i−2i-200-202002000−2i2i2i−2i002i−2i0000000000
χ392222-2-2-2-20022-200-2200000000−2i−2i2i2i20020-200-2000−2i2i−2i2i002i−2i0000000000
χ402222-2-2-2-20022-200-2200000000−2i−2i2i2i-200-2020020002i−2i−2i2i00−2i2i0000000000
χ412222-2-2-2-2002-22002-2000000002i2i−2i−2i020020-200-22i−2i00−2i2i−2i2i000000000000
χ422222-2-2-2-2002-22002-2000000002i2i−2i−2i0-200-202002−2i2i00−2i2i2i−2i000000000000
χ432222-2-2-2-2002-22002-200000000−2i−2i2i2i020020-200-2−2i2i002i−2i2i−2i000000000000
χ442222-2-2-2-2002-22002-200000000−2i−2i2i2i0-200-2020022i−2i002i−2i−2i2i000000000000
χ454-44-400-440000000004i−4i0000000000000000000000000000002i−2i2-2000000
χ464-44-400-440000000004i−4i000000000000000000000000000000−2i2i-22000000
χ474-44-400-44000000000−4i4i0000000000000000000000000000002i−2i-22000000
χ484-44-400-44000000000−4i4i000000000000000000000000000000−2i2i2-2000000
χ494-4-444-400000004-40000002i2−2i22i2−2i22i2−2i22i2−2i2000000000000000000000000000000
χ504-4-444-400000004-4000000−2i22i2−2i22i2−2i22i2−2i22i2000000000000000000000000000000
χ514-4-444-40000000-440000002i2−2i22i2−2i2−2i22i2−2i22i2000000000000000000000000000000
χ524-4-444-40000000-44000000−2i22i2−2i22i22i2−2i22i2−2i2000000000000000000000000000000
χ534-4-44-44004i−4i000000000002i2−2i2−2i22i222−22−2222000000000000000000000000000000
χ544-4-44-44004i−4i00000000000−2i22i22i2−2i2−222222−22000000000000000000000000000000
χ554-4-44-4400−4i4i000000000002i2−2i2−2i22i2−222222−22000000000000000000000000000000
χ564-4-44-4400−4i4i00000000000−2i22i22i2−2i222−22−2222000000000000000000000000000000
χ5788-8-800000000000000042−4200000000000000000000000000000000000000
χ5888-8-8000000000000000−424200000000000000000000000000000000000000
χ598-88-8008-8000000000000000000000000000000000000000000000000000

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