Finite Group Databasebeta

← Group #267495

Character table — Group #267495

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111222222224444444448888888888888888888881616161616161616161616161616161632
order12222244444444444444444444888888888888888822444444888888884
χ111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1
χ311111111111111111111111111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111
χ51111111111111111-1-1-1-111-1-11111-1-111-1-111-1-111111-11-1-1-111111-1-1-1-1-1-1
χ61111111111111111-1-1-1-111-1-11111-1-1-1-111-1-111-1-1-1-1-11-11-1-1-1-1111-1-1-1111
χ71111111111111111-1-1-1-111-1-111-1-11111-1-111-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1111111
χ81111111111111111-1-1-1-111-1-111-1-111-1-111-1-1111111-11-11-1-111-1-1-1111-1-1-1
χ911111111111111-1-111111-111-1-11111111111111111-1-1-1-1-1-1-1-11-1-11-1-111-1
χ1011111111111111-1-111111-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-11-1-1-1-11
χ1111111111111111-1-111111-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-111-111-1-11
χ1211111111111111-1-111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111-11111-1
χ1311111111111111-1-1-1-1-1-11-1-1-1-1-111-1-111-1-111-1-11111-11-1111-1-11-1-1-111-1-11
χ1411111111111111-1-1-1-1-1-11-1-1-1-1-111-1-1-1-111-1-111-1-1-1-11-11-111111-1-1-11111-1
χ1511111111111111-1-1-1-1-1-11-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-11-111111-1111-1-111-1
χ1611111111111111-1-1-1-1-1-11-1-1-1-1-1-1-111-1-111-1-11111111-11-111-1-1-1111-1-1-1-11
χ1722222222-222-2-2-2002222-20-2-200222200000000000000000000-200-200000
χ1822222222-222-2-2-2002222-20-2-200-2-2-2-200000000000000000000200200000
χ1922222222-222-2-2-200-2-2-2-2-20220022-2-200000000000000000000-200200000
χ2022222222-222-2-2-200-2-2-2-2-202200-2-22200000000000000000000200-200000
χ21222222-2-22-2-22-2-22222-2-2222-2-2-2000000000000000000002-200000000000
χ22222222-2-22-2-22-2-222-2-22222-22-2-200000000000000000000-2200000000000
χ23222222-2-22-2-22-2-2-2-222-2-22-22-22200000000000000000000-2200000000000
χ24222222-2-22-2-22-2-2-2-2-2-2222-2-2222000000000000000000002-200000000000
χ25222222-2-2-2-2-2-2220022-2-2-20-220000000000000000000000000002i−2i02i−2i000
χ26222222-2-2-2-2-2-2220022-2-2-20-22000000000000000000000000000−2i2i0−2i2i000
χ27222222-2-2-2-2-2-22200-2-222-202-20000000000000000000000000002i−2i0−2i2i000
χ28222222-2-2-2-2-2-22200-2-222-202-2000000000000000000000000000−2i2i02i−2i000
χ292222-2-22-222-222-2220000-2-2002-20000002200-2-200000-2020000000000000
χ302222-2-22-222-222-2220000-2-2002-2000000-2-200220000020-20000000000000
χ312222-2-22-222-222-2-2-20000-2200-220000002200-2-20000020-20000000000000
χ322222-2-22-222-222-2-2-20000-2200-22000000-2-2002200000-2020000000000000
χ332222-2-2-222-222-22220000-2-200-2200002200-2-2000000-20200000000000000
χ342222-2-2-222-222-22220000-2-200-220000-2-2002200000020-200000000000000
χ352222-2-2-222-222-22-2-20000-22002-200002200-2-200000020-200000000000000
χ362222-2-2-222-222-22-2-20000-22002-20000-2-20022000000-20200000000000000
χ372-22-22-2-2-2022000002-22-20000002i−2i2i−2ii2−i2i2−i2i2−i2i2−i222−2−2000000000000002−20
χ382-22-22-2-2-2022000002-22-20000002i−2i2i−2i−i2i2−i2i2−i2i2−i2i2−2−22200000000000000−220
χ392-22-22-2-2-2022000002-22-2000000−2i2i−2i2ii2−i2i2−i2i2−i2i2−i2−2−22200000000000000−220
χ402-22-22-2-2-2022000002-22-2000000−2i2i−2i2i−i2i2−i2i2−i2i2−i2i222−2−2000000000000002−20
χ412-22-22-2-2-202200000-22-220000002i−2i−2i2ii2−i2−i2i2i2−i2−i2i222−2−200000000000000−220
χ422-22-22-2-2-202200000-22-220000002i−2i−2i2i−i2i2i2−i2−i2i2i2−i2−2−222000000000000002−20
χ432-22-22-2-2-202200000-22-22000000−2i2i2i−2ii2−i2−i2i2i2−i2−i2i2−2−222000000000000002−20
χ442-22-22-2-2-202200000-22-22000000−2i2i2i−2i−i2i2i2−i2−i2i2i2−i222−2−200000000000000−220
χ454444-4-44-4-44-4-4-44000000400000000000000000000000000000000000000
χ464444-4-4-44-4-44-44-4000000400000000000000000000000000000000000000
χ474-44-44-4440-4-4000004-4-44000000000000000000000000000000000000000
χ484-44-44-4440-4-400000-444-4000000000000000000000000000000000000000
χ494-44-4-444-40-4400000000000000000002i2−2i200−2i22i200000000000000000000000
χ504-44-4-444-40-440000000000000000000−2i22i2002i2−2i200000000000000000000000
χ514-44-4-44-4404-40000000000000000000002i2−2i200−2i22i2000000000000000000000
χ524-44-4-44-4404-4000000000000000000000−2i22i2002i2−2i2000000000000000000000
χ534-4-440000400-4004i−4i00000000000000000000002-22-20000002i−2i000000000
χ544-4-440000400-4004i−4i0000000000000000000000-22-22000000−2i2i000000000
χ554-4-440000400-400−4i4i00000000000000000000002-22-2000000−2i2i000000000
χ564-4-440000400-400−4i4i0000000000000000000000-22-220000002i−2i000000000
χ5788-8-8000000000000000000000000000000000022−22−222200000000000000000
χ5888-8-80000000000000000000000000000000000−222222−2200000000000000000
χ598-8-880000-800800000000000000000000000000000000000000000000000

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