Finite Group Databasebeta

← Group #72261359

Character table — Group #72261359

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size1111224444448888888888888888161616161616161616161616161616161616161616161616161632323232323264646464
order1222222244442222222222224444222244444444444444444444444488884444
χ11111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-11111-1-111-1-111-1-11111-1-11111-1-111-1-1-1-1-1-111-1-1-1-111-1-1
χ4111111111111111111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-111
χ511111111111111-1-1-1-11111111111-1-111-1-111-1-11111-1-1-1-1-1-11111-1-1111111-1-1-1-1
χ611111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ711111111111111-1-1-1-1-1-11111-1-11111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111
χ811111111111111-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1
χ9111111111111-1-111-1-1111111-1-1-1-11-1111-1-1-11-11-1111-11-11-111-1-11-1-1-111-1-11-11-1
χ10111111111111-1-111-1-1111111-1-1-1-11-1-1-11-1-1-11-11-1-1-11-11-11-111-1-11-111-1-111-11-11
χ11111111111111-1-111-1-1-1-1111111-1-1-1111-11-1-11-1-11111-1-111-1-1-111-11-1-1-1-1111-1-11
χ12111111111111-1-111-1-1-1-1111111-1-1-11-1-1-11-1-11-1-11-1-11-1-111-1-1-111-111111-1-1-111-1
χ13111111111111-1-1-1-111111111-1-1-1-1-1111-11-1-1-111-111-11-11-1111-1-1-11-1-111-1-1-11-11
χ14111111111111-1-1-1-111111111-1-1-1-1-11-1-1-11-1-1-111-1-1-1-11-11-1111-1-1-1111-1-1111-11-1
χ15111111111111-1-1-1-111-1-1111111-1-11-1111-1-1-1-11-1111-111-1-11-1-1111-1-1-1-1-111-111-1
χ16111111111111-1-1-1-111-1-1111111-1-11-1-1-11-1-1-1-11-11-1-1-111-1-11-1-1111-11111-1-11-1-11
χ1722222222222222000022-2-2-2-2-2-2-2-20000002-2002-200000000-2-222000000000000
χ18222222222222220000-2-2-2-2-2-222-2-20000002-200-220000000022-2-2000000000000
χ19222222222222-2-2000022-2-2-2-22222000000-22002200000000-2-2-2-2000000000000
χ20222222222222-2-20000-2-2-2-2-2-2-2-222000000-2200-2-2000000002222000000000000
χ2122222222-2-2-2-22200000022-2-200-2-22-2002-2-2200000000-22000000-220000000000
χ2222222222-2-2-2-22200000022-2-200-2-2-2200-22-22000000002-20000002-20000000000
χ2322222222-2-2-2-222222200-2-2220022000000-2-2220000-2-200-2-20000000000000000
χ2422222222-2-2-2-222-2-2-2-200-2-2220022000000-2-2-2-200002200220000000000000000
χ2522222222-2-2-2-2-2-200000022-2-200222200222-200000000-2-2000000-2-20000000000
χ2622222222-2-2-2-2-2-200000022-2-20022-2-200-2-22-20000000022000000220000000000
χ2722222222-2-2-2-2-2-222-2-200-2-22200-2-2000000222-20000-2200-220000000000000000
χ2822222222-2-2-2-2-2-2-2-22200-2-22200-2-200000022-2200002-2002-20000000000000000
χ29222222-2-22-22-2000022002-22-22200-200020000-20-20002-200-2002-2200000000000
χ30222222-2-22-22-2000022002-22-2-2-2002000-20000-2020002200-200-22-200000000000
χ31222222-2-22-22-20000-2-2002-22-222002000-2000020-2000-22002002-2-200000000000
χ32222222-2-22-22-20000-2-2002-22-2-2-200-200020000202000-2-200200-22200000000000
χ33222222-2-22-22-200220000-22-2222000-2000200-200-200200-2-2000-22020000000000
χ34222222-2-22-22-200220000-22-22-2-20002000-200-2002002002-20002-20-20000000000
χ35222222-2-22-22-200-2-20000-22-22220002000-200200-200-20022000-220-20000000000
χ36222222-2-22-22-200-2-20000-22-22-2-2000-2000200200200-200-220002-2020000000000
χ37222222-2-2-22-2200002222-222-2000002000-2000-2-20000-20-2022-200020000000000
χ38222222-2-2-22-22000022-2-2-222-200000-20002000-220000-20202-22000-20000000000
χ39222222-2-2-22-220000-2-222-222-200000-200020002-200002020-22-2000-20000000000
χ40222222-2-2-22-220000-2-2-2-2-222-2000002000-200022000020-20-2-2200020000000000
χ41222222-2-2-22-22002200222-2-2200002000-2000-20-2000-20-2020-2200200000000000
χ42222222-2-2-22-22002200-2-22-2-220000-20002000-202000-2020202-200-200000000000
χ43222222-2-2-22-2200-2-200222-2-220000-2000200020-20002020-20-2200-200000000000
χ44222222-2-2-22-2200-2-200-2-22-2-2200002000-200020200020-20-202-200200000000000
χ454444-4-4-440000000000000000004-4002200000000-2-20000000000002-200000000
χ464444-4-4-440000000000000000004-400-2-20000000022000000000000-2200000000
χ474444-4-4-44000000000000000000-44002200000000-2-2000000000000-2200000000
χ484444-4-4-44000000000000000000-4400-2-200000000220000000000002-200000000
χ494-44-44-40040-400000000000004i−4i00002-2000000002-200000000000000002i−2i0000
χ504-44-44-40040-400000000000004i−4i0000-2200000000-220000000000000000−2i2i0000
χ514-44-44-40040-40000000000000−4i4i00002-2000000002-20000000000000000−2i2i0000
χ524-44-44-40040-40000000000000−4i4i0000-2200000000-2200000000000000002i−2i0000
χ534-44-4-44000-4040000004-400000000002-200000000-22000000000000002-2000000
χ544-44-4-44000-4040000004-40000000000-22000000002-200000000000000-22000000
χ554-44-4-44000-404000000-4400000000002-200000000-2200000000000000-22000000
χ564-44-4-44000-404000000-440000000000-22000000002-2000000000000002-2000000
χ578888-8-88-800000000000000000000000000000000000000000000000000000000
χ588-88-88-800-80800000000000000000000000000000000000000000000000000000
χ598-88-8-8800080-80000000000000000000000000000000000000000000000000000
χ608-8-88000000004-44-44-40000000000000000000000000000000000000000000000
χ618-8-88000000004-4-44-440000000000000000000000000000000000000000000000
χ628-8-8800000000-444-4-440000000000000000000000000000000000000000000000
χ638-8-8800000000-44-444-40000000000000000000000000000000000000000000000
χ641616-16-16000000000000000000000000000000000000000000000000000000000000

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