Finite Group Databasebeta

← Group #72264770

Character table — Group #72264770

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76
size111122222244444444444444448888881616161616161616161616161616161616161616161616161616161616161616323232323232323232323232
order1222222222222222222222444422224422224444444444444444444444444444444444448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ611111111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ711111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1
χ811111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ9111111111111111111-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−iii−i−iii−i−i
χ10111111111111111111-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii−i−iii−i−iii
χ11111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-111111111iiii−i−i−i−iii−i−i−i−iii−i−iii
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-111111111−i−i−i−iiiii−i−iiiii−i−iii−i−i
χ13111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111iiii−i−i−i−i−i−iii−i−iiiii−i−i
χ14111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111−i−i−i−iiiiiii−i−iii−i−i−i−iii
χ15111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−iiiii−i−i−i−iii
χ16111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiii−i−i−i−iiiii−i−i
χ1722222222222222-2-2-2-22222-2-2-2-22-22-2-2-2000022-2-200000000000022-2-200000000000000000000
χ1822222222222222-2-2-2-22222-2-2-2-22-22-2-2-20000-2-222000000000000-2-22200000000000000000000
χ1922222222222222-2-2-2-2-2-2-2-2-2-2-2-2-22-2222000022-2-2000000000000-2-22200000000000000000000
χ2022222222222222-2-2-2-2-2-2-2-2-2-2-2-2-22-22220000-2-22200000000000022-2-200000000000000000000
χ212222222222-2-2-2-222222222-2-2-2-2-22-22-2-22-20000002-20022-2-20000000000000000000000000000
χ222222222222-2-2-2-222222222-2-2-2-2-22-22-2-2-22000000-2200-2-2220000000000000000000000000000
χ232222222222-2-2-2-22222-2-2-2-2-2-2-2-22-22-2222-20000002-200-2-2220000000000000000000000000000
χ242222222222-2-2-2-22222-2-2-2-2-2-2-2-22-22-222-22000000-220022-2-20000000000000000000000000000
χ252222222222-2-2-2-2-2-2-2-222222222-2-2-2-222002-20000002-2000022-2-2000000000000000000000000
χ262222222222-2-2-2-2-2-2-2-222222222-2-2-2-22200-22000000-220000-2-222000000000000000000000000
χ272222222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2002-20000002-20000-2-222000000000000000000000000
χ282222222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-200-22000000-22000022-2-2000000000000000000000000
χ292-2-222-2-222-222-2-222-2-222-2-222-2-222-2-2-22000000000000000000000000000000002i−2i2i−2i00000000
χ302-2-222-2-222-222-2-222-2-222-2-222-2-222-2-2-2200000000000000000000000000000000−2i2i−2i2i00000000
χ312-2-222-2-222-222-2-222-2-2-2-22222-2-2-2-2222-2000000000000000000000000000000002-2-2200000000
χ322-2-222-2-222-222-2-222-2-2-2-22222-2-2-2-2222-200000000000000000000000000000000-222-200000000
χ332-2-222-2-222-222-2-2-2-22222-2-2-2-2222-2-222-200000000000000000000000000000000000000002i−2i2i−2i
χ342-2-222-2-222-222-2-2-2-22222-2-2-2-2222-2-222-20000000000000000000000000000000000000000−2i2i−2i2i
χ352-2-222-2-222-222-2-2-2-222-2-222-2-222-222-2-2200000000000000000000000000000000000000002-2-22
χ362-2-222-2-222-222-2-2-2-222-2-222-2-222-222-2-220000000000000000000000000000000000000000-222-2
χ372-2-222-2-222-2-2-22222-2-222-2-2-2-222-222-22-20000000000000000000000002i2i−2i−2i2i2i−2i−2i000000000000
χ382-2-222-2-222-2-2-22222-2-222-2-2-2-222-222-22-2000000000000000000000000−2i−2i2i2i−2i−2i2i2i000000000000
χ392-2-222-2-222-2-2-22222-2-2-2-222-2-2222-2-22-2200000000000000000000000022-2-2-2-222000000000000
χ402-2-222-2-222-2-2-22222-2-2-2-222-2-2222-2-22-22000000000000000000000000-2-22222-2-2000000000000
χ412-2-222-2-222-2-2-222-2-22222-2-222-2-2-2-222-220000000000000000000000000000000000002-22-20000
χ422-2-222-2-222-2-2-222-2-22222-2-222-2-2-2-222-22000000000000000000000000000000000000-22-220000
χ432-2-222-2-222-2-2-222-2-222-2-22222-2-222-2-22-20000000000000000000000000000000000002i−2i−2i2i0000
χ442-2-222-2-222-2-2-222-2-222-2-22222-2-222-2-22-2000000000000000000000000000000000000−2i2i2i−2i0000
χ4544444-4-4-4-444-44-40000000000000000000000004-4000000000000000000000000000000000000
χ4644444-4-4-4-444-44-4000000000000000000000000-44000000000000000000000000000000000000
χ4744444-4-4-4-44-44-4400000000000000000000004-400000000000000000000000000000000000000
χ4844444-4-4-4-44-44-440000000000000000000000-4400000000000000000000000000000000000000
χ494444-44-44-4-40000000000004-44-400000000040000000-400000000000000000000000000000000
χ504444-44-44-4-40000000000004-44-4000000000-40000000400000000000000000000000000000000
χ514444-44-44-4-4000000000000-44-440000000040000000-4000000000000000000000000000000000
χ524444-44-44-4-4000000000000-44-4400000000-400000004000000000000000000000000000000000
χ534444-4-44-44-400004-44-400000000000000040000000-40000000000000000000000000000000000
χ544444-4-44-44-400004-44-4000000000000000-4000000040000000000000000000000000000000000
χ554444-4-44-44-40000-44-440000000000000040000000-400000000000000000000000000000000000
χ564444-4-44-44-40000-44-4400000000000000-40000000400000000000000000000000000000000000
χ574-4-44444-4-4-44-4-44000000000000000000000000000000000000004i−4i0000000000000000000000
χ584-4-44444-4-4-44-4-4400000000000000000000000000000000000000−4i4i0000000000000000000000
χ594-4-44444-4-4-4-444-400000000000000000000000000000000000000004i−4i00000000000000000000
χ604-4-44444-4-4-4-444-40000000000000000000000000000000000000000−4i4i00000000000000000000
χ614-4-44-44-4-44400004-4-4400000000000000000000000000004-40000000000000000000000000000
χ624-4-44-44-4-44400004-4-440000000000000000000000000000-440000000000000000000000000000
χ634-4-44-44-4-4440000-444-4000000000000000000000000004-4000000000000000000000000000000
χ644-4-44-44-4-4440000-444-400000000000000000000000000-44000000000000000000000000000000
χ654-4-44-4-444-440000000000004-4-4400000000000000000000004-400000000000000000000000000
χ664-4-44-4-444-440000000000004-4-440000000000000000000000-4400000000000000000000000000
χ674-4-44-4-444-44000000000000-444-40000000000000000000000004-4000000000000000000000000
χ684-4-44-4-444-44000000000000-444-4000000000000000000000000-44000000000000000000000000
χ6988-8-8000000000000004-44-400000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i000000000000
χ7088-8-8000000000000004-44-40000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000
χ7188-8-800000000000000-44-4400000000000000000000000000000000002-22-2-22-22000000000000
χ7288-8-800000000000000-44-440000000000000000000000000000000000-22-222-22-2000000000000
χ738-88-8000000000000004-4-4400000000000000000000000000000000002-2-222-2-22000000000000
χ748-88-8000000000000004-4-440000000000000000000000000000000000-222-2-222-2000000000000
χ758-88-800000000000000-444-400000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i000000000000
χ768-88-800000000000000-444-40000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000

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