Finite Group Databasebeta

← Group #72307534

Character table — Group #72307534

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size111122222244448888888888881616161616161616161616161616161616161616323232323232323232323232323232323232
order122222444488884444448888882222444444448888888824444488881616161616161616
χ11111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-11111
χ511111111111111111111111111-1-1-1-11111-1-1-1-1111111111-1-11-1-11111-1-1-1-1-1-1-1-1
χ611111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111
χ711111111111111111111111111-1-1-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-11111
χ811111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ91111111111-1-1-1-1-1-1-1-1111-1-111111-1-111-1-111-1-11111-1-1-1-111-111-11-1-1-111-1-111-1-1
χ101111111111-1-1-1-1-1-1-1-1111-1-111111-1-111-1-111-1-1-1-1-1-11111-11-1-11-11-111-1-111-1-111
χ111111111111-1-1-1-1-1-1-1-1111-1-111111-1-1-1-111-1-1111111-1-1-1-1-1-11-11-1-111111-1-1-1-111
χ121111111111-1-1-1-1-1-1-1-1111-1-111111-1-1-1-111-1-111-1-1-1-111111-1111-1-11-1-1-1-11111-1-1
χ131111111111-1-1-1-1-1-1-1-1111-1-1111-1-11111-1-1-1-1111111-1-1-1-11-111-111-1-1-1-1-111-1-111
χ141111111111-1-1-1-1-1-1-1-1111-1-1111-1-11111-1-1-1-111-1-1-1-11111-1-11-1-111-11111-1-111-1-1
χ151111111111-1-1-1-1-1-1-1-1111-1-1111-1-111-1-11111-1-11111-1-1-1-1-11-1-1-11-1111-1-11111-1-1
χ161111111111-1-1-1-1-1-1-1-1111-1-1111-1-111-1-11111-1-1-1-1-1-1111111-11-11-11-1-111-1-1-1-111
χ172222222222222222-2-2-2-22-2-2-22-2222200000000000000000000-2-2000000000000
χ182222222222222222-2-2-2-22-2-2-22-2-2-2-2-20000000000000000000022000000000000
χ1922222222222222-2-222-2-2-2-2-22-22000000002222000000000-2-2000000000000000
χ2022222222222222-2-222-2-2-2-2-22-2200000000-2-2-2-200000000022000000000000000
χ2122222222222222-2-2-2-222-222-2-2-2000022-2-2000000000000000000-220000000000
χ2222222222222222-2-2-2-222-222-2-2-20000-2-2220000000000000000002-20000000000
χ232222222222-2-2-2-2222222-2-2-2-2-2-200002222000000000000000000-2-20000000000
χ242222222222-2-2-2-2222222-2-2-2-2-2-20000-2-2-2-2000000000000000000220000000000
χ252222222222-2-2-2-222-2-2-2-2-2222-220000000022-2-2000000000-22000000000000000
χ262222222222-2-2-2-222-2-2-2-2-2222-2200000000-2-2220000000002-2000000000000000
χ272222222222-2-2-2-2-2-222-2-2222-22-222-2-200000000000000000000-22000000000000
χ282222222222-2-2-2-2-2-222-2-2222-22-2-2-222000000000000000000002-2000000000000
χ2922-2-22-22-22-222-2-22-20000-2000202-22-200000000i2i2−i2−i2i2i2−i2−i20000000000i2−i2i2−i20000
χ3022-2-22-22-22-222-2-22-20000-2000202-22-200000000−i2−i2i2i2−i2−i2i2i20000000000−i2i2−i2i20000
χ3122-2-22-22-22-222-2-22-20000-200020-22-2200000000i2i2−i2−i2i2i2−i2−i20000000000−i2i2−i2i20000
χ3222-2-22-22-22-222-2-22-20000-200020-22-2200000000−i2−i2i2i2−i2−i2i2i20000000000i2−i2i2−i20000
χ3322-2-22-22-22-2-2-222-220000-2000202-2-2200000000i2i2−i2−i2−i2−i2i2i20000000000i2−i2−i2i20000
χ3422-2-22-22-22-2-2-222-220000-2000202-2-2200000000−i2−i2i2i2i2i2−i2−i20000000000−i2i2i2−i20000
χ3522-2-22-22-22-2-2-222-220000-200020-222-200000000i2i2−i2−i2−i2−i2i2i20000000000−i2i2i2−i20000
χ3622-2-22-22-22-2-2-222-220000-200020-222-200000000−i2−i2i2i2i2i2−i2−i20000000000i2−i2−i2i20000
χ3722-2-2-22-2-2222-22-2002-200000-202000000002-22-22−22−22−22−2000000000000002−22−2
χ3822-2-2-22-2-2222-22-2002-200000-202000000002-22-2−22−22−22−2200000000000000−22−22
χ3922-2-2-22-2-2222-22-2002-200000-20200000000-22-222−22−22−22−200000000000000−22−22
χ4022-2-2-22-2-2222-22-2002-200000-20200000000-22-22−22−22−22−22000000000000002−22−2
χ4122-2-2-22-2-222-22-2200-2200000-202000000002-2-222−22−2−22−22000000000000002−2−22
χ4222-2-2-22-2-222-22-2200-2200000-202000000002-2-22−22−222−22−200000000000000−222−2
χ4322-2-2-22-2-222-22-2200-2200000-20200000000-222-22−22−2−22−2200000000000000−222−2
χ4422-2-2-22-2-222-22-2200-2200000-20200000000-222-2−22−222−22−2000000000000002−2−22
χ45444444-4-4-4-4000000004-40000000000004-4000000000000000000000000000000
χ46444444-4-4-4-4000000004-4000000000000-44000000000000000000000000000000
χ47444444-4-4-4-400000000-4400000000004-400000000000000000000000000000000
χ48444444-4-4-4-400000000-440000000000-4400000000000000000000000000000000
χ494444-4-44-4-44000000000004i−4i00000000000000000000000200-200002i−2i00000000
χ504444-4-44-4-44000000000004i−4i00000000000000000000000-20020000−2i2i00000000
χ514444-4-44-4-4400000000000−4i4i00000000000000000000000200-20000−2i2i00000000
χ524444-4-44-4-4400000000000−4i4i00000000000000000000000-200200002i−2i00000000
χ534444-4-4-444-44-4-440000000000000000000000002i−2i−2i2i2i−2i−2i2i000000000000000000
χ544444-4-4-444-44-4-44000000000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000
χ554444-4-4-444-4-444-40000000000000000000000002i−2i−2i2i−2i2i2i−2i000000000000000000
χ564444-4-4-444-4-444-4000000000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000
χ5744-4-44-44-44-444-4-4-4400004000-4000000000000000000000000000000000000000
χ5844-4-44-44-44-4-4-4444-400004000-4000000000000000000000000000000000000000
χ5944-4-4-44-4-4444-44-400-440000040-400000000000000000000000000000000000000
χ6044-4-4-44-4-444-44-44004-40000040-400000000000000000000000000000000000000
χ6188-8-88-8-88-88000000000000000000000000000000000000000000000000000000
χ6288-8-8-8888-8-8000000000000000000000000000000000000000000000000000000
χ6316-1616-16000000000000000000000000000000000000000000000000000000000000
χ6416-16-1616000000000000000000000000000000000000000000000000000000000000

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