Finite Group Databasebeta

← Group #72255915

Character table — Group #72255915

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67
size1111224444448888888888888888888888161616161616161616161616161616161616161616161632323232323264646464
order1222222222222222444444444444444444222222444444444444444444444444488
χ11111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-11111111-1-111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1111-11-1-1-1-11111-1-111-1-111-1-1-1-111-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-11-11-1-1-1-1-1-111-1-111-1-1-1-11111-1-111
χ51111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-111-1111-1-111-1-1111-11-11-11-1-1-111-1-11-11-1
χ61111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-111-1-1-11-1-111-1-1-1-11-11-11-11-111-1-111-11-11
χ71111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111111-1-1-111111-1-111-1-11-1-1-1-1111-1-11
χ81111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11-1-111-1-1-111-1-11-1-111-1-111111-1-1-111-1
χ9111111111111-1-111111111-1-111-1-111-1-11111-1111-1-1-11-11-111-1-111-1-1-1-111-1-1-1-1-1-111
χ10111111111111-1-111111111-1-111-1-111-1-11111-11-1-1-1-1-11-11-1-1-1-1-111-1-1-1-1-1-1111111-1-1
χ11111111111111-1-111111111-1-1-1-111-1-111111-11-111-11-1-11-1111-1-1-1-1-1-111111111-1-1-1-1
χ12111111111111-1-111111111-1-1-1-111-1-111111-11-1-1-1-11-1-11-11-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ13111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-11-1-111-1111-1-1111-111-1-11-11-1-1-1-111-111-1
χ14111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-11-1-1-1-1-1111-1-11-1-1-111-1-11-111111-1-11-1-11
χ15111111111111-1-111-1-1-1-1-1-111-1-11111-1-111-1-11111-1-11-111-111-11-11-111-1-1-111-1-1-11-11
χ16111111111111-1-111-1-1-1-1-1-111-1-11111-1-111-1-111-1-1-1-11-111-1-1-1-11-11-111-111-1-1111-11-1
χ1722222222222200-2-22222-2-200002200-2-2-2-2-20-20000200-202000000002-20000000000
χ1822222222222200-2-22222-2-20000-2-20022-2-2-2020000-20020-200000000-220000000000
χ1922222222222200-2-2-2-2-2-2220000220022-2-220-20000-200-20-200000000220000000000
χ2022222222222200-2-2-2-2-2-2220000-2-200-2-2-2-2202000020020200000000-2-20000000000
χ212222222-2-22-2-2002-200000022002222002-200-220000-202-20000-20-202-200000000000
χ222222222-2-22-2-2002-20000002200-2-2-2-2002-2002-20000-20-220000-20202200000000000
χ232222222-2-22-2-2002-2000000-2-20022-2-2002-200-2-20000202200002020-2-200000000000
χ242222222-2-22-2-2002-2000000-2-200-2-222002-20022000020-2-2000020-20-2200000000000
χ252222222-2-22-2-222-220000000022220000-22022000-200-2-20000-20-2020-200000000000
χ262222222-2-22-2-222-2200000000-2-2-2-20000-220-2-2000-200220000-202020200000000000
χ272222222-2-22-2-2-2-2-220000000022-2-20000-2202-2000200-22000020-20-20200000000000
χ282222222-2-22-2-2-2-2-2200000000-2-2220000-220-220002002-200002020-20-200000000000
χ29222222-22-2-22-2002-20000002222000022-220-2000002-2200-20002-200-20-20000000000
χ30222222-22-2-22-2002-200000022-2-20000-2-2-220200000-2-2-20020002200-2020000000000
χ31222222-22-2-22-2002-2000000-2-2220000-2-2-220-200000-222002000-2-2002020000000000
χ32222222-22-2-22-2002-2000000-2-2-2-2000022-22020000022-200-2000-220020-20000000000
χ33222222-22-2-22-222-2200000000000022222-2000-200-2-20002200200-2-200-20000000000
χ34222222-22-2-22-222-22000000000000-2-2-2-22-2000200-22000-2-2002002-20020000000000
χ35222222-22-2-22-2-2-2-2200000000000022-2-22-2000-200220002-200-200-220020000000000
χ36222222-22-2-22-2-2-2-22000000000000-2-2222-20002002-2000-2200-2002200-20000000000
χ37222222-2-22-2-2200-2-222-2-222002200220022-2-20-200000-20-2000002200000000000000
χ38222222-2-22-2-2200-2-222-2-22200-2-200-2-20022-22020000020200000-2-200000000000000
χ39222222-2-22-2-2200-2-2-2-222-2-2002200-2-200222-20200000-202000002-200000000000000
χ40222222-2-22-2-2200-2-2-2-222-2-200-2-200220022220-20000020-200000-2200000000000000
χ41222222-2-22-2-22222222-2-2-2-2-2-200000000-2-220000020-2000000-2200-22000000000000
χ42222222-2-22-2-222222-2-222222200000000-2-2-200000202000000-2-200-2-2000000000000
χ43222222-2-22-2-22-2-22222-2-2-2-22200000000-2-2200000-2020000002-2002-2000000000000
χ44222222-2-22-2-22-2-222-2-22222-2-200000000-2-2-200000-20-2000000220022000000000000
χ454444-4-400-4004000000004-40000000000000000220000000-2-2000000002-200000000
χ464444-4-400-4004000000004-40000000000000000-2-200000002200000000-2200000000
χ474444-4-400-400400000000-440000000000000000220000000-2-200000000-2200000000
χ484444-4-400-400400000000-440000000000000000-2-2000000022000000002-200000000
χ494-44-44-40400-400000000000000000004i−4i0000002-200000002-20000000000002i−2i0000
χ504-44-44-40400-400000000000000000004i−4i000000-220000000-22000000000000−2i2i0000
χ514-44-44-40400-40000000000000000000−4i4i0000002-200000002-2000000000000−2i2i0000
χ524-44-44-40400-40000000000000000000−4i4i000000-220000000-220000000000002i−2i0000
χ534-44-4-44-400400000000000000004-400000000002-20000000-2200000000002-2000000
χ544-44-4-44-400400000000000000004-40000000000-2200000002-20000000000-22000000
χ554-44-4-44-40040000000000000000-4400000000002-20000000-220000000000-22000000
χ564-44-4-44-40040000000000000000-440000000000-2200000002-200000000002-2000000
χ578888-8-800800-80000000000000000000000000000000000000000000000000000000
χ5888-8-8000000004-400004i−4i004i−4i0000000000000000000000000000000000000000000
χ5988-8-8000000004-40000−4i4i00−4i4i0000000000000000000000000000000000000000000
χ6088-8-800000000-4400004i−4i00−4i4i0000000000000000000000000000000000000000000
χ6188-8-800000000-440000−4i4i004i−4i0000000000000000000000000000000000000000000
χ628-88-88-80-800800000000000000000000000000000000000000000000000000000000
χ638-88-8-88800-8000000000000000000000000000000000000000000000000000000000
χ648-8-880000000000004-40000004-4004-40000000000000000000000000000000000000
χ658-8-880000000000004-4000000-4400-440000000000000000000000000000000000000
χ668-8-88000000000000-440000004-400-440000000000000000000000000000000000000
χ678-8-88000000000000-44000000-44004-40000000000000000000000000000000000000

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