Finite Group Databasebeta

← Group #72266699

Character table — Group #72266699

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111122222244888881616161616161616161616161616161616163232323232323232323232323264646464
order1222222222222222222244444444444444444444444444448888
χ11111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-1-1-111-1-1-1-1111-11-1-11111-1-1-1-111-1-1
χ4111111111111111111111-1-1-1-1-1-111-1-1-1-1111-11-1-1-1-1-1-11111-1-111
χ5111111111111111111-1-111111-1-1-1-1-1-1-1-111-11-11-11111-1-1-1-1-1-111
χ6111111111111111111-1-111111-1-1-1-1-1-1-1-111-11-11-1-1-1-1-1111111-1-1
χ7111111111111111111-1-11-1-1-1-111-1-1111111-1-1-1-1111111111-1-1-1-1
χ8111111111111111111-1-11-1-1-1-111-1-1111111-1-1-1-11-1-1-1-1-1-1-1-11111
χ91111111111-1-111-1-1-111111111-1-1-1-111-1-1-1-11-1-1-11ii−i−iii−i−ii−ii−i
χ101111111111-1-111-1-1-111111111-1-1-1-111-1-1-1-11-1-1-11−i−iii−i−iii−ii−ii
χ111111111111-1-111-1-1-11111-1-1-1-111-1-1-1-111-1-111-11-1ii−i−i−i−iiii−i−ii
χ121111111111-1-111-1-1-11111-1-1-1-111-1-1-1-111-1-111-11-1−i−iiiii−i−i−iii−i
χ131111111111-1-111-1-1-11-1-1111111111-1-111-1-1-1-11-1-1ii−i−i−i−iii−iii−i
χ141111111111-1-111-1-1-11-1-1111111111-1-111-1-1-1-11-1-1−i−iiiii−i−ii−i−ii
χ151111111111-1-111-1-1-11-1-11-1-1-1-1-1-11111-1-1-1-1-11111ii−i−iii−i−i−ii−ii
χ161111111111-1-111-1-1-11-1-11-1-1-1-1-1-11111-1-1-1-1-11111−i−iii−i−iiii−ii−i
χ1722222222222222222-200-200002200-2-2-2-2-2-200002000000000000
χ1822222222222222222-200-20000-2-2002222-2-20000-2000000000000
χ19222222222222-2-22-2-2222-2000000-2-200002-2-20200000000000000
χ20222222222222-2-22-2-22-2-2-20000002200002-220-200000000000000
χ21222222222222-2-22-2-2-200222-2-200000000-22020-20000000000000
χ22222222222222-2-22-2-2-2002-2-22200000000-220-2020000000000000
χ232222222222-2-222-2-2-2-200-20000220022-2-2220000-2000000000000
χ242222222222-2-222-2-2-2-200-20000-2-200-2-2222200002000000000000
χ252222222222-2-2-2-2-222222-2000000220000-22-20-200000000000000
χ262222222222-2-2-2-2-2222-2-2-2000000-2-20000-2220200000000000000
χ272222222222-2-2-2-2-222-200222-2-2000000002-20-2020000000000000
χ282222222222-2-2-2-2-222-2002-2-222000000002-2020-20000000000000
χ29444444-4-4-4-4004-4000000000000000004i−4i0000000000000000000
χ30444444-4-4-4-4004-400000000000000000−4i4i0000000000000000000
χ31444444-4-4-4-400-44000000000004i−4i0000000000000000000000000
χ32444444-4-4-4-400-4400000000000−4i4i0000000000000000000000000
χ334444-4-44-44-4000004-40000000000000000000000000002i−2i2i−2i0000
χ344444-4-44-44-4000004-4000000000000000000000000000−2i2i−2i2i0000
χ354444-4-44-44-400000-440000000000000000000000000002-2-220000
χ364444-4-44-44-400000-44000000000000000000000000000-222-20000
χ374444-4-4-44-444400-400000000000000000000000002-22-200000000
χ384444-4-4-44-444400-40000000000000000000000000-22-2200000000
χ394444-4-4-44-44-4-400400000000000000000000000002i−2i−2i2i00000000
χ404444-4-4-44-44-4-40040000000000000000000000000−2i2i2i−2i00000000
χ4188-8-800080-800000000000000000004i−4i000000000000000000000
χ4288-8-800080-80000000000000000000−4i4i000000000000000000000
χ4388-8-8000-8088-80000000000000000000000000000000000000000
χ4488-8-8000-808-880000000000000000000000000000000000000000
χ458-88-80080-8000000000000004i−4i000000000000000000000000000
χ468-88-80080-800000000000000−4i4i000000000000000000000000000
χ478-88-800-8080000000000000000004-400000000000000000000000
χ488-88-800-808000000000000000000-4400000000000000000000000
χ498-8-888-80000000000000004-400000000000000000000000000000
χ508-8-888-8000000000000000-4400000000000000000000000000000
χ518-8-88-880000000000004-400000000000000000000000000000000
χ528-8-88-88000000000000-4400000000000000000000000000000000

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