Finite Group Databasebeta

← Group #72281744

Character table — Group #72281744

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73
size1122222444444444444488888888888888888888161616161616161616161616161616161616161616163232323232323232646464
order12244882222244444448224444444448888888882224444444444448881616161688161616161616488
χ11111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1111111-1-1-1
χ411111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1111
χ51111111111111-1-1-1-1111-1-11-111-1-1-11111-1-1-1-11111-1-11-1-111111-1-1-1-1-11-111111111-1-1-1-1-11-1
χ61111111111111-1-1-1-1111-1-11-111-1-1-11111-1-1-1-11111-1-11-1-111111-1-1-1-1-11-1-1-1-1-1-1-1-1-111111-11
χ71111111111111-1-1-1-1111-1-11-111-1-1-1-1-111-1-1-1-1111-111-111-1-1-1-1-11111-11-11111-1-111-1-1-1-11-11
χ81111111111111-1-1-1-1111-1-11-111-1-1-1-1-111-1-1-1-1111-111-111-1-1-1-1-11111-11-1-1-1-1-111-1-11111-11-1
χ9111111111-1-11111-1-11111-1-1-1-1-111-111-1-111-1-1111-11-1-11-1111-1-111-1-1-1-11111111-1-111-1-1-1-11
χ10111111111-1-11111-1-11111-1-1-1-1-111-111-1-111-1-1111-11-1-11-1111-1-111-1-1-1-11-1-1-1-1-1-111-1-11111-1
χ11111111111-1-11111-1-11111-1-1-1-1-111-1-1-1-1-111-1-11111-111-11-1-1-111-1-111-1-111111-1-1-1-111-1-111-1
χ12111111111-1-11111-1-11111-1-1-1-1-111-1-1-1-1-111-1-11111-111-11-1-1-111-1-111-1-11-1-1-1-11111-1-111-1-11
χ13111111111-1-111-1-111111-11-11-1-1-1-1111-1-1-1-111111-1-11-1-11111-1-1-1-1111-1-1111111-1-1-1-1111-1-1
χ14111111111-1-111-1-111111-11-11-1-1-1-1111-1-1-1-111111-1-11-1-11111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-111
χ15111111111-1-111-1-111111-11-11-1-1-1-11-1-1-1-1-1-11111111-111-1-1-1-11111-1-11-1-11111-1-1-1-1-1-111-111
χ16111111111-1-111-1-111111-11-11-1-1-1-11-1-1-1-1-1-11111111-111-1-1-1-11111-1-11-1-1-1-1-1-1111111-1-11-1-1
χ1722222222-200-2-222002-22200000-2-20220022002-2-20-200-202-2-200220000-2000000000000000
χ1822222222-200-2-222002-22200000-2-20-2-20022002-2-2020020-22200-2-20000-2000000000000000
χ1922222222-200-2-2-2-2002-22-2000002202200-2-2002-2-20200202-2-200-2-200002000000000000000
χ2022222222-200-2-2-2-2002-22-200000220-2-200-2-2002-2-20-200-20-222002200002000000000000000
χ212222222-2222-2-20000-2220020-2-200022220000-22-2-200-200-22-22200000-20000000000000000
χ222222222-2222-2-20000-2220020-2-2000-2-2220000-22-22002002-22-2-200000-20000000000000000
χ232222222-22-2-2-2-20000-22200-202200022-2-20000-22-2200200-22-2-2-20000020000000000000000
χ242222222-22-2-2-2-20000-22200-2022000-2-2-2-20000-22-2-200-2002-22220000020000000000000000
χ252222222-2-200220022-2-220-20-20000222000022-2-22002002-2-220000-2-2-200000000000000000
χ262222222-2-200220022-2-220-20-200002-2-2000022-2-2200-200-222-2000022-200000000000000000
χ272222222-2-2002200-2-2-2-2202020000-2220000-2-2-2-2200-200-2-2-22000022200000000000000000
χ282222222-2-2002200-2-2-2-2202020000-2-2-20000-2-2-2-2200200222-20000-2-2200000000000000000
χ2922222-2-2222222222222-222222222200-2-2-2-2-2-2-2-2-2000000000000000-2-2-2000000000000000
χ3022222-2-2222222-2-2-2-222-2-2-22-222-2-2-200-2-22222-2-2-20000000000000002-22000000000000000
χ3122222-2-222-2-22222-2-222-22-2-2-2-2-222-20022-2-222-2-2-200000000000000022-2000000000000000
χ3222222-2-222-2-222-2-22222-2-22-22-2-2-2-22002222-2-2-2-2-2000000000000000-222000000000000000
χ3322222-2-22-200-2-222002-2-2200000-2-200000-2-200-22220-2-2020002-2002-2002000000000000000
χ3422222-2-22-200-2-222002-2-2200000-2-200000-2-200-222-20220-2000-2200-22002000000000000000
χ3522222-2-22-200-2-2-2-2002-2-2-20000022000002200-222202-20-20002-200-2200-2000000000000000
χ3622222-2-22-200-2-2-2-2002-2-2-20000022000002200-222-20-2202000-22002-200-2000000000000000
χ3722222-2-2-2222-2-20000-22-20020-2-200000-2-200002-220220-2-2000002-22-2020000000000000000
χ3822222-2-2-2222-2-20000-22-20020-2-200000-2-200002-220-2-202200000-22-22020000000000000000
χ3922222-2-2-22-2-2-2-20000-22-200-2022000002200002-2202-20-22000002-2-220-20000000000000000
χ4022222-2-2-22-2-2-2-20000-22-200-2022000002200002-220-2202-200000-222-20-20000000000000000
χ4122222-2-2-2-200220022-2-2-20-20-200002000000-2-222-22-20-220000-222-200200000000000000000
χ4222222-2-2-2-200220022-2-2-20-20-200002000000-2-222-2-2202-200002-2-2200200000000000000000
χ4322222-2-2-2-2002200-2-2-2-2-202020000-20000002222-2220-2-20000-22-2200-200000000000000000
χ4422222-2-2-2-2002200-2-2-2-2-202020000-20000002222-2-2-202200002-22-200-200000000000000000
χ45222-2-2002222-222222-2-20-2-2-222-22-2-200000000000000000000000000000i2i2−i2−i200i2−i2i2−i2i2−i2000
χ46222-2-2002222-222222-2-20-2-2-222-22-2-200000000000000000000000000000−i2−i2i2i200−i2i2−i2i2−i2i2000
χ47222-2-2002222-22-2-2-2-2-2-2022-2-22-2-22200000000000000000000000000000i2i2−i2−i200i2−i2−i2i2−i2i2000
χ48222-2-2002222-22-2-2-2-2-2-2022-2-22-2-22200000000000000000000000000000−i2−i2i2i200−i2i2i2−i2i2−i2000
χ49222-2-20022-2-2-2222-2-2-2-20-222-2-222-2200000000000000000000000000000i2i2−i2−i200−i2i2i2−i2−i2i2000
χ50222-2-20022-2-2-2222-2-2-2-20-222-2-222-2200000000000000000000000000000−i2−i2i2i200i2−i2−i2i2i2−i2000
χ51222-2-20022-2-2-22-2-222-2-202-222-22-22-200000000000000000000000000000i2i2−i2−i200−i2i2−i2i2i2−i2000
χ52222-2-20022-2-2-22-2-222-2-202-222-22-22-200000000000000000000000000000−i2−i2i2i200i2−i2i2−i2−i2i2000
χ53444-4-4004-4004-44400-440-400000-44000000000000000000000000000000000000000000000
χ54444-4-4004-4004-4-4-400-4404000004-4000000000000000000000000000000000000000000000
χ55444-4-400-44444-400004-4000-40-4400000000000000000000000000000000000000000000000
χ56444-4-400-44-4-44-400004-4000404-400000000000000000000000000000000000000000000000
χ57444-4-400-4-400-440044440040-40000-400000000000000000000000000000000000000000000
χ58444-4-400-4-400-4400-4-44400-4040000400000000000000000000000000000000000000000000
χ5944-44-444000000000000-40000000004i−4i0000000000000000000000000002-22-22i−2i000000000
χ6044-44-444000000000000-40000000004i−4i000000000000000000000000000-22-22−2i2i000000000
χ6144-44-444000000000000-4000000000−4i4i0000000000000000000000000002-22-2−2i2i000000000
χ6244-44-444000000000000-4000000000−4i4i000000000000000000000000000-22-222i−2i000000000
χ6388-88-8-8-8000000000000800000000000000000000000000000000000000000000000000000
χ6488-8-88000000000000000000000000000000000000000000000000000002i2−2i2−2i22i200000000000
χ6588-8-8800000000000000000000000000000000000000000000000000000−2i22i22i2−2i200000000000
χ668-80004i2−4i2004-4004i−4i4i−4i000000000000002i2−2i222−2222−22000000000000000000000000000000000000
χ678-80004i2−4i2004-400−4i4i−4i4i000000000000002i2−2i2−2222−2222000000000000000000000000000000000000
χ688-80004i2−4i200-44004i−4i−4i4i00000000000000−2i22i222−22−2222000000000000000000000000000000000000
χ698-80004i2−4i200-4400−4i4i4i−4i00000000000000−2i22i2−222222−22000000000000000000000000000000000000
χ708-8000−4i24i2004-4004i−4i4i−4i00000000000000−2i22i2−2222−2222000000000000000000000000000000000000
χ718-8000−4i24i2004-400−4i4i−4i4i00000000000000−2i22i222−2222−22000000000000000000000000000000000000
χ728-8000−4i24i200-44004i−4i−4i4i000000000000002i2−2i2−222222−22000000000000000000000000000000000000
χ738-8000−4i24i200-4400−4i4i4i−4i000000000000002i2−2i222−22−2222000000000000000000000000000000000000

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