Finite Group Databasebeta

← Group #72337460

Character table — Group #72337460

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82
size111111112222444444444444888888888888888888881616161616161616161616161616161616161616161616161616323232323232323232323232
order1222444422442222224444442222224444444444888822224444444488888888888888444444448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ511111111111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ611111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ711111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1
χ811111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111
χ9111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-111111111111111-1-1-1-111-1-111-1-111-1-111-1-111-1-1-1-1-1-1
χ10111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-111-1-1111111
χ11111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-11111-1-1-1-111-1-111
χ12111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-111-1-111-1-111-1-11111-1-111-1-1
χ13111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1111111111111-1-111-1-1-1-111-1-11111-1-1-1-111-1-111-1-1-1-1
χ14111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-111-1-111-1-11111
χ15111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-111-1-1-1-111-1-11111-1-1-1-111
χ16111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-111-1-1-1-11111-1-1-1-11111-1-1
χ1722222222222222-2-2-2-22-2-2-2-22220000220000-2-2-2-22222000000000000-2-200000000-2-222000000000000
χ1822222222222222-2-2-2-22-2-2-2-22220000220000-2-2-2-2-2-2-2-2000000000000220000000022-2-2000000000000
χ1922222222222222-2-2-2-22-2-2-2-22-2-20000-2-20000222222220000000000002200000000-2-2-2-2000000000000
χ2022222222222222-2-2-2-22-2-2-2-22-2-20000-2-200002222-2-2-2-2000000000000-2-2000000002222000000000000
χ21222222222222-2-222-2-2-222-2-2-2000022000022000022-2-20000000000-2-200002200-2-22-200000000000000
χ22222222222222-2-222-2-2-222-2-2-20000220000220000-2-2220000000000-2-20000-2-20022-2200000000000000
χ23222222222222-2-222-2-2-222-2-2-20000-2-20000-2-2000022-2-20000000000220000-2-200222-200000000000000
χ24222222222222-2-222-2-2-222-2-2-20000-2-20000-2-20000-2-22200000000002200002200-2-2-2200000000000000
χ25222222222222-2-2-2-222-2-2-222-2002200002200000022-2-200000000-2-200002200-2-200-2200000000000000
χ26222222222222-2-2-2-222-2-2-222-20022000022000000-2-22200000000-2-20000-2-20022002-200000000000000
χ27222222222222-2-2-2-222-2-2-222-200-2-20000-2-200000022-2-200000000220000-2-2002200-2200000000000000
χ28222222222222-2-2-2-222-2-2-222-200-2-20000-2-2000000-2-222000000002200002200-2-2002-200000000000000
χ292222-2-2-2-222-2-22222-2-2-2-2-222-20000220000-2-20000000000000000002-22i−2i2i−2i002i−2i00002i−2i000000000000
χ302222-2-2-2-222-2-22222-2-2-2-2-222-20000220000-2-20000000000000000002-2−2i2i−2i2i00−2i2i0000−2i2i000000000000
χ312222-2-2-2-222-2-22222-2-2-2-2-222-20000-2-2000022000000000000000000-222i−2i−2i2i00−2i2i00002i−2i000000000000
χ322222-2-2-2-222-2-22222-2-2-2-2-222-20000-2-2000022000000000000000000-22−2i2i2i−2i002i−2i0000−2i2i000000000000
χ332222-2-2-2-222-2-222-2-222-222-2-2-200220000-2-20000000000000000002-2002i−2i002i−2i002i−2i00−2i2i000000000000
χ342222-2-2-2-222-2-222-2-222-222-2-2-200220000-2-20000000000000000002-200−2i2i00−2i2i00−2i2i002i−2i000000000000
χ352222-2-2-2-222-2-222-2-222-222-2-2-200-2-2000022000000000000000000-22002i−2i00−2i2i00−2i2i00−2i2i000000000000
χ362222-2-2-2-222-2-222-2-222-222-2-2-200-2-2000022000000000000000000-2200−2i2i002i−2i002i−2i002i−2i000000000000
χ372222-2-2-2-222-2-2-2-222222-2-2-2-22222222-2-2-2-2-2-222-2-2000000000000-22-2200000000000000000000000000
χ382222-2-2-2-222-2-2-2-222222-2-2-2-2222-2-2-2-2-2-2222222-2-20000000000002-22-200000000000000000000000000
χ392222-2-2-2-222-2-2-2-222222-2-2-2-22-2-222-2-222-2-222-2-222000000000000-222-200000000000000000000000000
χ402222-2-2-2-222-2-2-2-222222-2-2-2-22-2-2-2-2222222-2-2-2-2220000000000002-2-2200000000000000000000000000
χ412222-2-2-2-222-2-2-2-2-2-2-2-2222222220000-2-20000-2-2220000000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000
χ422222-2-2-2-222-2-2-2-2-2-2-2-2222222220000-2-20000-2-222000000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ432222-2-2-2-222-2-2-2-2-2-2-2-2222222-2-2000022000022-2-20000000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ442222-2-2-2-222-2-2-2-2-2-2-2-2222222-2-2000022000022-2-2000000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ452-2-2222-2-2-22-222-22-22-2-22-22-222-200002-200002-22-20000002-2002-200000000000000000000000000002-2
χ462-2-2222-2-2-22-222-22-22-2-22-22-222-200002-200002-22-2000000-2200-220000000000000000000000000000-22
χ472-2-2222-2-2-22-222-22-22-2-22-22-22-220000-220000-22-220000002-2002-20000000000000000000000000000-22
χ482-2-2222-2-2-22-222-22-22-2-22-22-22-220000-220000-22-22000000-2200-2200000000000000000000000000002-2
χ492-2-2222-2-2-22-222-2-22-22-2-22-2222-200002-20000-22-2200002-2002-200000000000000000000000000002-200
χ502-2-2222-2-2-22-222-2-22-22-2-22-2222-200002-20000-22-220000-2200-220000000000000000000000000000-2200
χ512-2-2222-2-2-22-222-2-22-22-2-22-222-220000-2200002-22-200002-2002-20000000000000000000000000000-2200
χ522-2-2222-2-2-22-222-2-22-22-2-22-222-220000-2200002-22-20000-2200-2200000000000000000000000000002-200
χ532-2-22-2-222-222-2-222-22-2-2-22-2222-20000-2200002-2-2200000000000000000000000000000000002-22-20000
χ542-2-22-2-222-222-2-222-22-2-2-22-2222-20000-2200002-2-220000000000000000000000000000000000-22-220000
χ552-2-22-2-222-222-2-222-22-2-2-22-222-2200002-20000-222-200000000000000000000000000000000002-2-220000
χ562-2-22-2-222-222-2-222-22-2-2-22-222-2200002-20000-222-20000000000000000000000000000000000-222-20000
χ572-2-22-2-222-222-2-22-22-22-22-22-222-20000-220000-222-20000000000000000000000000000002-22-200000000
χ582-2-22-2-222-222-2-22-22-22-22-22-222-20000-220000-222-2000000000000000000000000000000-22-2200000000
χ592-2-22-2-222-222-2-22-22-22-22-22-22-2200002-200002-2-220000000000000000000000000000002-2-2200000000
χ602-2-22-2-222-222-2-22-22-22-22-22-22-2200002-200002-2-22000000000000000000000000000000-222-200000000
χ614444-4-4-4-4-4-4440000000000000000000000000000004-42222-2-2-2-2000000000000000000000000000000
χ624444-4-4-4-4-4-4440000000000000000000000000000004-4-2-2-2-22222000000000000000000000000000000
χ634444-4-4-4-4-4-444000000000000000000000000000000-4422-2-2-2-222000000000000000000000000000000
χ644444-4-4-4-4-4-444000000000000000000000000000000-44-2-22222-2-2000000000000000000000000000000
χ654-4-4444-4-4-44-44-444-4-4444-4-44-40000000000000000000000000000000000000000000000000000000000
χ664-4-4444-4-4-44-44-44-444-44-444-4-40000000000000000000000000000000000000000000000000000000000
χ674-4-44-4-4444-4-4400000000000000000000000000004-4002-22-2-22-22000000000000000000000000000000
χ684-4-44-4-4444-4-4400000000000000000000000000004-400-22-222-22-2000000000000000000000000000000
χ694-4-44-4-4444-4-440000000000000000000000000000-44002-2-22-222-2000000000000000000000000000000
χ704-4-44-4-4444-4-440000000000000000000000000000-4400-222-22-2-22000000000000000000000000000000
χ714-4-44-4-444-444-44-44-4-444-444-4-40000000000000000000000000000000000000000000000000000000000
χ724-4-44-4-444-444-44-4-444-444-4-44-40000000000000000000000000000000000000000000000000000000000
χ7388888888-8-8-8-80000000000000000000000000000000000000000000000000000000000000000000000
χ7488-8-88i−8i8i−8i000000000000000000004-400004i−4i0000000000000000000000000000000000000000000000
χ7588-8-88i−8i8i−8i00000000000000000000-440000−4i4i0000000000000000000000000000000000000000000000
χ7688-8-8−8i8i−8i8i000000000000000000004-40000−4i4i0000000000000000000000000000000000000000000000
χ7788-8-8−8i8i−8i8i00000000000000000000-4400004i−4i0000000000000000000000000000000000000000000000
χ788-88-88i−8i−8i8i0000000000000000004-400004i−4i000000000000000000000000000000000000000000000000
χ798-88-88i−8i−8i8i000000000000000000-440000−4i4i000000000000000000000000000000000000000000000000
χ808-88-8−8i8i8i−8i0000000000000000004-40000−4i4i000000000000000000000000000000000000000000000000
χ818-88-8−8i8i8i−8i000000000000000000-4400004i−4i000000000000000000000000000000000000000000000000
χ828-8-8888-8-88-88-80000000000000000000000000000000000000000000000000000000000000000000000

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