Finite Group Databasebeta

← Group #245481

Character table — Group #245481

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122222222444888888888888888816161616161616161616161616161616161616161616
order12222244444444422444444888888882244444444888888888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-1-1-11-1111-111-1-1-1-1111-1-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-1-1-1-1111-11-1-111-1-1-1-1-1111-1-1-1-1
χ411111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-1-1-11111
χ51111111111111111-11-11-11-1111111111-1-1-11-1-1-1-1-1-1-11-1-111111-1-1
χ61111111111111111-11-11-11-111-1-1-1-1-1-111-1-111-1-111111-1-1-1-1-1-1-111
χ71111111111111111-11-11-11-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-111111-1-111
χ81111111111111111-11-11-11-1-1-1-1-11111-11-1-1-111111-1-1-111-1-1-111-1-1
χ9111111111111111-11-11-11-1111111111-11-1-1-11-1-1-1-1-1-11111-1-1-1-111
χ10111111111111111-11-11-11-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-11111-1-1
χ11111111111111111-11-11-11-11-1-111-1-1-1-111-1-11111-1-111-1-1-11-1-111-1-1
χ12111111111111111-11-11-11-11-1-1-1-111111-1-1-11-11111-1-1-1-1-1-111-1-111
χ13111111111111111-1-1-1-1-1-1-1-111111111-1-111-1-11111111-1-11-1-1-1-1-1-1
χ14111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111-1111-1-1-1-11-1-1-1111111
χ15111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1111-1-1-111-1-1-1111-1-11111
χ16111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-111-111-1-1-1-1
χ1722222222-2-222-2-2-222-2-222-2-200000000002-2000000000000000000
χ1822222222-2-222-2-2-22-2-222-2-220000000000-22000000000000000000
χ1922222222-2-222-2-2-2-222-2-222-20000000000-22000000000000000000
χ2022222222-2-222-2-2-2-2-222-2-22200000000002-2000000000000000000
χ212222-2-22-2222-22-2-2020-20-202002200000-20002000000000-2000000
χ222222-2-22-2222-22-2-2020-20-20200-2-2000002000-20000000002000000
χ232222-2-22-2222-22-2-20-202020-20022000002000-2000000000-2000000
χ242222-2-22-2222-22-2-20-202020-200-2-200000-200020000000002000000
χ252222-2-22-2-2-22-2-22202020-20-200000000000000002-20000002-20000
χ262222-2-22-2-2-22-2-22202020-20-20000000000000000-22000000-220000
χ272222-2-22-2-2-22-2-2220-20-2020200000000000000002-2000000-220000
χ282222-2-22-2-2-22-2-2220-20-202020000000000000000-220000002-20000
χ292222-2-2-2222-22-22-220-20-202022000000-200020000000-2000000000
χ302222-2-2-2222-22-22-220-20-2020-2-20000002000-200000002000000000
χ312222-2-2-2222-22-22-2-202020-20220000002000-20000000-2000000000
χ322222-2-2-2222-22-22-2-202020-20-2-2000000-2000200000002000000000
χ332222-2-2-22-2-2-222-222020-20-20000000000000002-2000002-20000000
χ342222-2-2-22-2-2-222-222020-20-2000000000000000-2200000-220000000
χ352222-2-2-22-2-2-222-22-20-202020000000000000002-200000-220000000
χ362222-2-2-22-2-2-222-22-20-20202000000000000000-22000002-20000000
χ37444444-4-444-4-4-4-4400000000000000000000000000000000000000
χ38444444-4-4-4-4-4-444-400000000000000000000000000000000000000
χ394-44-44-44400-4-40000000000000000000000000000022−220000000000
χ404-44-44-44400-4-400000000000000000000000000000−22220000000000
χ414-44-44-4-4-400440000000000000002222−22−220000000000000000000000
χ424-44-44-4-4-40044000000000000000−22−2222220000000000000000000000
χ434-44-4-444-400-4400000000000000000000000000000000000002i2−2i200
χ444-44-4-444-400-440000000000000000000000000000000000000−2i22i200
χ454-44-4-44-44004-40000000000000000000000000000000000000002i2−2i2
χ464-44-4-44-44004-4000000000000000000000000000000000000000−2i22i2
χ474-4-4400004-400000000000002i2−2i22i2−2i22-22-20000000000000000000000
χ484-4-4400004-400000000000002i2−2i2−2i22i2-22-220000000000000000000000
χ494-4-4400004-40000000000000−2i22i22i2−2i2-22-220000000000000000000000
χ504-4-4400004-40000000000000−2i22i2−2i22i22-22-20000000000000000000000
χ5188-8-80000000000000000000000022−22−22220000000000000000000000
χ5288-8-800000000000000000000000−222222−220000000000000000000000
χ538-8-880000-880000000000000000000000000000000000000000000

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