Finite Group Databasebeta

← Group #72214744

Character table — Group #72214744

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76
size1111222222444444444444444488888888888888161616161616161616161616161616161616161632323232323232323232323232323232
order122222444422444444888888884488888888888822444444888888888888222224441616161616161616
χ11111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ31111111111111111111111111111111111111111-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ511111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111-1-11-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-111-111-1-1-1-11111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1111111-1-1-1-1
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-111111111
χ91111111111-1-1-1-1111111111111-1-1-1-1-1-1111111111-111-1-11-111-1-111-1-1-1-1-1-111-111-1-1-111-1-111-1-1
χ101111111111-1-1-1-1111111111111-1-1-1-1-1-1111111111-1-1-1111-1-1-11111-1-1-1-1-1-1-1-11-1-111111-1-1-1-111
χ111111111111-1-1-1-1111111111111-1-1-1-1-1-111111111-1111-1-1-1111-1-1-1-111-1-1-1-1-1-11-1-1111-1-11111-1-1
χ121111111111-1-1-1-1111111111111-1-1-1-1-1-111111111-11-1-111-11-1-111-1-111-1-1-1-111-111-1-1-1-1-111-1-111
χ131111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11-111-1-111-1-1111111-1-1-1-111-1-111-1-111
χ141111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111-1-1-11111-1-11111-1-11111-1-1-1-11111-1-1
χ151111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1111-1-1-1-1111111-1-11111-1-111-1-1-1-111
χ161111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-11-1-111-1-111111111-1-1-1-11111-1-111-1-1
χ17222222222222222222-2-2-2-2-2-2-2-222-2-2-2-200000000000000000000000000002-2200-20000000000
χ18222222222222222222-2-2-2-2-2-2-2-222-2-2-2-20000000000000000000000000000-22-20020000000000
χ1922222222222222-2-2-2-222-2-222-2-2-2-222-2-200000000220000220000-2-2-2-200000000000000000000
χ2022222222222222-2-2-2-222-2-222-2-2-2-222-2-200000000-2-20000-2-20000222200000000000000000000
χ2122222222222222-2-2-2-2-2-222-2-222-2-2-2-2220000000000222200-2-2-2-2000000000000000000000000
χ2222222222222222-2-2-2-2-2-222-2-222-2-2-2-2220000000000-2-2-2-2002222000000000000000000000000
χ232222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2222200000000000000000000000000002-2-20020000000000
χ242222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-222220000000000000000000000000000-22200-20000000000
χ252222222222-2-2-2-2-2-2-2-222-2-222-2-222-2-222000000002-200002-20000-2-22200000000000000000000
χ262222222222-2-2-2-2-2-2-2-222-2-222-2-222-2-22200000000-220000-22000022-2-200000000000000000000
χ272222222222-2-2-2-2-2-2-2-2-2-222-2-2222222-2-2000000000022-2-200-2-222000000000000000000000000
χ282222222222-2-2-2-2-2-2-2-2-2-222-2-2222222-2-20000000000-2-2220022-2-2000000000000000000000000
χ292-2-22-22-22-222-22-222-2-22222-2-2-2-22-22-22-20000000000000000000000000000000000002i−2i2i−2i0000
χ302-2-22-22-22-222-22-222-2-22222-2-2-2-22-22-22-2000000000000000000000000000000000000−2i2i−2i2i0000
χ312-2-22-22-22-222-22-222-2-2-2-2-2-222222-2-22-2200000000000000000000000000000000000000002-22-2
χ322-2-22-22-22-222-22-222-2-2-2-2-2-222222-2-22-220000000000000000000000000000000000000000-22-22
χ332-2-22-22-22-222-22-2-2-22222-2-2-2-222-222-2-222222-2-2-2-2000000000000000022-2-20000000000000000
χ342-2-22-22-22-222-22-2-2-22222-2-2-2-222-222-2-22-2-2-2-222220000000000000000-2-2220000000000000000
χ352-2-22-22-22-222-22-2-2-222-2-22222-2-2-22-222-200000000000000000000000000000002-202-200000000
χ362-2-22-22-22-222-22-2-2-222-2-22222-2-2-22-222-20000000000000000000000000000000-220-2200000000
χ372-2-22-22-22-22-22-2222-2-22222-2-2-2-2-22-22-220000000000000000000000000000000000002i−2i−2i2i0000
χ382-2-22-22-22-22-22-2222-2-22222-2-2-2-2-22-22-22000000000000000000000000000000000000−2i2i2i−2i0000
χ392-2-22-22-22-22-22-2222-2-2-2-2-2-22222-222-22-200000000000000000000000000000000000000002-2-22
χ402-2-22-22-22-22-22-2222-2-2-2-2-2-22222-222-22-20000000000000000000000000000000000000000-222-2
χ412-2-22-22-22-22-22-22-2-22222-2-2-2-2222-2-222-22222-2-2-2-20000000000000000-2-2220000000000000000
χ422-2-22-22-22-22-22-22-2-22222-2-2-2-2222-2-222-2-2-2-2-22222000000000000000022-2-20000000000000000
χ432-2-22-22-22-22-22-22-2-222-2-22222-2-22-22-2-2200000000000000000000000000000002-20-2200000000
χ442-2-22-22-22-22-22-22-2-222-2-22222-2-22-22-2-220000000000000000000000000000000-2202-200000000
χ45444444-4-4-4-444-4-400000000000000000022-2-222-2-200000000000000002-22-20000000000000000
χ46444444-4-4-4-444-4-4000000000000000000-2-222-2-2220000000000000000-22-220000000000000000
χ47444444-4-4-4-4-4-44400000000000000000022-2-222-2-20000000000000000-22-220000000000000000
χ48444444-4-4-4-4-4-444000000000000000000-2-222-2-22200000000000000002-22-20000000000000000
χ494444-4-44-4-4400000000004-4004-40000000000000000004-4000000000000000000000000000000
χ504444-4-44-4-4400000000004-4004-4000000000000000000-44000000000000000000000000000000
χ514444-4-44-4-440000000000-4400-4400000000000000004-400000000000000000000000000000000
χ524444-4-44-4-440000000000-4400-440000000000000000-4400000000000000000000000000000000
χ534444-4-4-444-4000000004-4004-400000000000000000400000-40000000000000000000000000000
χ544444-4-4-444-4000000004-4004-400000000000000000-40000040000000000000000000000000000
χ554444-4-4-444-400000000-4400-440000000000000000400000-400000000000000000000000000000
χ564444-4-4-444-400000000-4400-440000000000000000-400000400000000000000000000000000000
χ574-4-444-444-4-4000000004-400-440000000000000000000000000000004i−4i00000000000000000000
χ584-4-444-444-4-4000000004-400-44000000000000000000000000000000−4i4i00000000000000000000
χ594-4-444-444-4-400000000-44004-400000000000000000000000000004i−4i0000000000000000000000
χ604-4-444-444-4-400000000-44004-40000000000000000000000000000−4i4i0000000000000000000000
χ614-4-444-4-4-44400000000004-400-4400000000000000000000004-400000000000000000000000000
χ624-4-444-4-4-44400000000004-400-440000000000000000000000-4400000000000000000000000000
χ634-4-444-4-4-4440000000000-44004-40000000000000000000000004-4000000000000000000000000
χ644-4-444-4-4-4440000000000-44004-4000000000000000000000000-44000000000000000000000000
χ654-4-44-444-44-44-4-4400000000000000000022-2-2-2-22200000000000000002-2-220000000000000000
χ664-4-44-444-44-44-4-44000000000000000000-2-22222-2-20000000000000000-222-20000000000000000
χ674-4-44-444-44-4-444-400000000000000000022-2-2-2-2220000000000000000-222-20000000000000000
χ684-4-44-444-44-4-444-4000000000000000000-2-22222-2-200000000000000002-2-220000000000000000
χ6988-8-800000000004-44-400000000000000004-4004-4000000000000000000000000000000000000
χ7088-8-800000000004-44-40000000000000000-4400-44000000000000000000000000000000000000
χ7188-8-80000000000-44-44000000000000004-4004-400000000000000000000000000000000000000
χ7288-8-80000000000-44-4400000000000000-4400-4400000000000000000000000000000000000000
χ738-88-800000000004-4-44000000000000004-400-4400000000000000000000000000000000000000
χ748-88-800000000004-4-4400000000000000-44004-400000000000000000000000000000000000000
χ758-88-80000000000-444-400000000000000004-400-44000000000000000000000000000000000000
χ768-88-80000000000-444-40000000000000000-44004-4000000000000000000000000000000000000

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