Finite Group Databasebeta

← Group #508286

Character table — Group #508286

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111222222222222224444444444444444444444441616161616161616161616161616161632323232
order1222222244444488882444444444888888888888882244888816161616161616162244
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11-1
χ611111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11-11
χ711111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11
χ811111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1
χ911111-1-111-1-11111111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11-11-111-1-111-1-111-1-111-1-1
χ1011111-1-111-1-11111111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11-11-111-1-1-1-111-1-111-1-111
χ1111111-1-111-1-11111111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-11-11-1-11111-1-111-1-1-1-111
χ1211111-1-111-1-11111111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-11-11-1-111-1-111-1-11111-1-1
χ1311111-1-111-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-11-1-1-11111-1-1-1-1111-1-11
χ1411111-1-111-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-11-1-1-111-1-11111-1-1-111-1
χ1511111-1-111-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-11-1111-1-111-1-1-1-111-111-1
χ1611111-1-111-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-11-1111-1-1-1-11111-1-11-1-11
χ1722222222222222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000
χ1822222222222222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000
χ1922222-2-222-2-2222-2-2-2-2-2-22222-2-2-2-2-2-22222-2-2-2-2222200000000000000000000
χ2022222-2-222-2-2222-2-2-2-2-2-2-2-2-2-22222-2-222222222-2-2-2-200000000000000000000
χ212222-222-22-2-22-2-22222-2200000000-2-222-2-20000000022-2-20000000000000000
χ222222-222-22-2-22-2-22222-2200000000-2-222-2-200000000-2-2220000000000000000
χ232222-222-22-2-22-2-2-2-2-2-2-220000000022-2-2220000000000002i−2i2i−2i000000000000
χ242222-222-22-2-22-2-2-2-2-2-2-220000000022-2-222000000000000−2i2i−2i2i000000000000
χ252222-222-2-222-2220000-2-20000000000000022-2-222-2-2000000002−22−22−22−20000
χ262222-222-2-222-2220000-2-20000000000000022-2-222-2-200000000−22−22−22−220000
χ272222-222-2-222-2220000-2-200000000000000-2-222-2-222000000002−22−2−22−220000
χ282222-222-2-222-2220000-2-200000000000000-2-222-2-22200000000−22−222−22−20000
χ292222-2-2-2-22222-2-222222-200000000-2-2-2-222000000002-2-220000000000000000
χ302222-2-2-2-22222-2-222222-200000000-2-2-2-22200000000-222-20000000000000000
χ312222-2-2-2-22222-2-2-2-2-2-22-2000000002222-2-20000000000002i−2i−2i2i000000000000
χ322222-2-2-2-22222-2-2-2-2-2-22-2000000002222-2-2000000000000−2i2i2i−2i000000000000
χ332222-2-2-2-2-2-2-2-2220000220000000000000022-2-2-2-222000000002−2−222−2−220000
χ342222-2-2-2-2-2-2-2-2220000220000000000000022-2-2-2-22200000000−222−2−222−20000
χ352222-2-2-2-2-2-2-2-22200002200000000000000-2-22222-2-2000000002−2−22−222−20000
χ362222-2-2-2-2-2-2-2-22200002200000000000000-2-22222-2-200000000−222−22−2−220000
χ3744444444-4-4-4-4-4-400004-4000000000000000000000000000000000000000000
χ3844444-4-44-444-4-4-40000-44000000000000000000000000000000000000000000
χ3944-4-4000004i−4i0002222−22−220022-2-22i2i−2i−2i00002i2−2i20022−22002i2−2i200000000000000000000
χ4044-4-4000004i−4i0002222−22−2200-2-222−2i−2i2i2i00002i2−2i200−222200−2i22i200000000000000000000
χ4144-4-4000004i−4i000−22−2222220022-2-22i2i−2i−2i0000−2i22i200−222200−2i22i200000000000000000000
χ4244-4-4000004i−4i000−22−22222200-2-222−2i−2i2i2i0000−2i22i20022−22002i2−2i200000000000000000000
χ4344-4-400000−4i4i0002222−22−220022-2-2−2i−2i2i2i0000−2i22i20022−2200−2i22i200000000000000000000
χ4444-4-400000−4i4i0002222−22−2200-2-2222i2i−2i−2i0000−2i22i200−2222002i2−2i200000000000000000000
χ4544-4-400000−4i4i000−22−2222220022-2-2−2i−2i2i2i00002i2−2i200−2222002i2−2i200000000000000000000
χ4644-4-400000−4i4i000−22−22222200-2-2222i2i−2i−2i00002i2−2i20022−2200−2i22i200000000000000000000
χ474-44-4400-4400-44-400000000004i−4i4i−4i0000000000000000000000000000000000
χ484-44-4400-4400-44-40000000000−4i4i−4i4i0000000000000000000000000000000000
χ494-44-4400-4-4004-444-44-400000000004-400000000000000000000000000000000
χ504-44-4400-4-4004-44-44-440000000000-4400000000000000000000000000000000
χ514-44-4-4004400-4-440000004-44-400000000000000000000000000000000000000
χ524-44-4-4004400-4-44000000-44-4400000000000000000000000000000000000000
χ534-44-4-4004-40044-44-44-40000000000-4400000000000000000000000000000000
χ544-44-4-4004-40044-4-44-4400000000004-400000000000000000000000000000000
χ554-4-4404-4000000022−22−2222002-2-222-2-220022−220022−220022−220000000000000000000000
χ564-4-4404-4000000022−22−222200-222-2-222-20022−2200−222200−22220000000000000000000000
χ574-4-4404-40000000−222222−22002-2-222-2-2200−222200−222200−22220000000000000000000000
χ584-4-4404-40000000−222222−2200-222-2-222-200−22220022−220022−220000000000000000000000
χ594-4-440-44000000022−22−2222002-2-22-222-200−22220022−2200−22220000000000000000000000
χ604-4-440-44000000022−22−222200-222-22-2-2200−222200−22220022−220000000000000000000000
χ614-4-440-440000000−222222−22002-2-22-222-20022−2200−22220022−220000000000000000000000
χ624-4-440-440000000−222222−2200-222-22-2-220022−220022−2200−22220000000000000000000000

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