Finite Group Databasebeta

← Group #72341157

Character table — Group #72341157

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61
size1111224444448888888888161616161616161616161616161616161616161616161616161616161632323232323264646464
order1222222222222222444444222222444444444444444444444444444444488
χ11111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11111-1-1-1-11-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ4111111111111111111111111-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-111-1-11-111-1-111-1-111-11111-1-111-1-111-1-111-1-1-1-11-11-1
χ61111111111111111-1-1-1-111-1-11-1-1-1-1-111-1-111-1-1-111-1-111-1-111-1-1-1-11111-11-11
χ71111111111111111-1-1-1-111-1-1-1111-1-1-1-1111-1111-1-11111-1-1-1-11111-1-1-1-1-11-11
χ81111111111111111-1-1-1-111-1-1-11-1-1-1-1-1-1111-11-1-1-1-11111-1-1-1-111-1-111111-11-1
χ9111111111111-1-11111-1-111111-1111-11-11-1-1-11111-11-1-1-1-1-11-11-1-1-111-1-111-1-1
χ10111111111111-1-11111-1-111111-1-1-11-11-11-1-1-11-1-11-11-1-1-1-1-11-11-111-1-111-1-111
χ11111111111111-1-11111-1-11111-11111-1-11-11-11-111-11-11-1-1-1-1-11-11-1-111-1-1-1-111
χ12111111111111-1-11111-1-11111-11-1-11-1-11-11-11-1-1-1-11-11-1-1-1-1-11-1111-1-11111-1-1
χ13111111111111-1-111-1-11111-1-11111-111-1-11-1-1-1111-1-11-1-1111-1-11-1-1-1-1111-1-11
χ14111111111111-1-111-1-11111-1-111-1-1-111-1-11-1-1-1-1-11-1-11-1-1111-1-111111-1-1-111-1
χ15111111111111-1-111-1-11111-1-1-1-111-11-111-1-11111-111-1-1-111-111-1-1-1-1-111-111-1
χ16111111111111-1-111-1-11111-1-1-1-1-1-1-11-111-1-111-1-1-111-1-1-111-111-11111-1-11-1-11
χ1722222222222222-2-22222-2-2-2-20000220000200000000-2-2-2-200000000000000
χ1822222222222222-2-2-2-2-2-2-2-2220000-2-20000200000000-2-22200000000000000
χ19222222222222-2-2-2-222-2-2-2-2-2-200002-20000-200000000222200000000000000
χ20222222222222-2-2-2-2-2-222-2-2220000-220000-20000000022-2-200000000000000
χ212222222-2-22-2-200222200-2-22-22000-20202000200-20-200000-20-200000000000
χ222222222-2-22-2-200222200-2-22-2-2000-20-20-2000-2002020000020200000000000
χ232222222-2-22-2-20022-2-200-2-2-2220002020-2000-200-20200000-20200000000000
χ242222222-2-22-2-20022-2-200-2-2-22-200020-20200020020-20000020-200000000000
χ252222222-2-22-2-200-2-2220022-220200-200202020000-20-200000-20-20000000000
χ262222222-2-22-2-200-2-2220022-220-200-200-20-20-20000202000002020000000000
χ272222222-2-22-2-200-2-2-2-200222-20200200-2020-2000020-20000020-20000000000
χ282222222-2-22-2-200-2-2-2-200222-20-20020020-2020000-20200000-2020000000000
χ29222222-22-2-22-2002-200222-20000000-202-200-22000-220002-202-200000000000
χ30222222-22-2-22-2002-200222-20000000-20-22002-20002-20002-20-2200000000000
χ31222222-22-2-22-2002-200-2-22-20000000202200-2-2000-2-2000-2202200000000000
χ32222222-22-2-22-2002-200-2-22-2000000020-2-2002200022000-220-2-200000000000
χ33222222-22-2-22-200-220022-22002-2000-2-200200000200-200-22-20020000000000
χ34222222-22-2-22-200-220022-2200-22000-2200-200000-200200-22200-20000000000
χ35222222-22-2-22-200-2200-2-2-2200220002-200-2000002002002-2-200-20000000000
χ36222222-22-2-22-200-2200-2-2-2200-2-20002200200000-200-2002-220020000000000
χ37222222-2-22-2-22222-20000-220002000000-2-2-2020000-2-22-20000220000000000
χ38222222-2-22-2-22222-20000-22000-200000022-20-20000222-20000-2-20000000000
χ39222222-2-22-2-2222-2200002-200200000-2-200-22000-2-200-220022000000000000
χ40222222-2-22-2-2222-2200002-200-2000002200-2-20002200-2200-2-2000000000000
χ41222222-2-22-2-22-2-22-20000-2200020000002-220-200002-2-220000-220000000000
χ42222222-2-22-2-22-2-22-20000-22000-2000000-222020000-22-2200002-20000000000
χ43222222-2-22-2-22-2-2-2200002-200200000-22002-2000-22002-2002-2000000000000
χ44222222-2-22-2-22-2-2-2200002-200-2000002-200220002-2002-200-22000000000000
χ454444-4-4-40040000004-40000000022000000000-2-2000000000000002-2000000
χ464444-4-4-40040000004-400000000-2-20000000002200000000000000-22000000
χ474444-4-4-4004000000-440000000022000000000-2-200000000000000-22000000
χ484444-4-4-4004000000-4400000000-2-200000000022000000000000002-2000000
χ494-4-444-40400-400000004i−4i0000002-20000000002-200000000000000002i−2i0000
χ504-4-444-40400-400000004i−4i000000-22000000000-220000000000000000−2i2i0000
χ514-4-444-40400-40000000−4i4i0000002-20000000002-20000000000000000−2i2i0000
χ524-4-444-40400-40000000−4i4i000000-22000000000-2200000000000000002i−2i0000
χ534-4-44-4400-40044-40000000000002-2000000000-220000000000002-200000000
χ544-4-44-4400-40044-4000000000000-220000000002-2000000000000-2200000000
χ554-4-44-4400-4004-440000000000002-2000000000-22000000000000-2200000000
χ564-4-44-4400-4004-44000000000000-220000000002-20000000000002-200000000
χ578888-8-8800-8000000000000000000000000000000000000000000000000000
χ588-8-888-80-800800000000000000000000000000000000000000000000000000
χ598-8-88-8800800-80000000000000000000000000000000000000000000000000
χ601616-16-16000000000000000000000000000000000000000000000000000000000
χ6116-1616-16000000000000000000000000000000000000000000000000000000000

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