Finite Group Databasebeta

← Group #72237356

Character table — Group #72237356

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size11222444444448888888888816161616161616161616161616161616323232326464646464646464
order1222222222222222444444442224444444444444444488888888
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-11-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-11-1-11-1-1-111-1-1-1-1-1-111-1-1ii−i−iii−i−i
χ6111111111111111111111111-11-1-11-1-1-111-1-1-1-1-1-111-1-1−i−iii−i−iii
χ7111111111111111111111111-1-11-1-11-1-1-1-111-1-1-1-1-1-111ii−i−i−i−iii
χ8111111111111111111111111-1-11-1-11-1-1-1-111-1-1-1-1-1-111−i−iiiii−i−i
χ91111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1i−ii−ii−ii−i
χ101111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1−ii−ii−ii−ii
χ111111111111111111-1-1-1-1-1-1-1-11-1-11-1-111-1-1-1-1-1-1-1-11111i−ii−i−ii−ii
χ121111111111111111-1-1-1-1-1-1-1-11-1-11-1-111-1-1-1-1-1-1-1-11111−ii−iii−ii−i
χ131111111111111111-1-1-1-1-1-1-1-1-11-1-11-1-1-111-1-11111-1-1111-1-111-1-11
χ141111111111111111-1-1-1-1-1-1-1-1-11-1-11-1-1-111-1-11111-1-111-111-1-111-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-111111111-1-11-1-11-111-1
χ161111111111111111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-111111111-1-1-111-11-1-11
χ172222222-2-2-2-2222-2-2000000000020020000-2-222-2-22-20000000000
χ182222222-2-2-2-2222-2-2000000000020020000-2-2-2-222-220000000000
χ192222222-2-2-2-2222-2-20000000000-200-200002222-2-2-220000000000
χ202222222-2-2-2-2222-2-20000000000-200-2000022-2-2222-20000000000
χ2122222-2-222-2-222-22-20000000002002000-2-2002-22-2002-200000000
χ2222222-2-222-2-222-22-20000000002002000-2-200-22-2200-2200000000
χ2322222-2-222-2-222-22-2000000000-200-200022002-22-200-2200000000
χ2422222-2-222-2-222-22-2000000000-200-20002200-22-22002-200000000
χ2522222-2-2-2-22222-2-222222-2-2-2-2200200-2-200002-2-22000000000000
χ2622222-2-2-2-22222-2-222222-2-2-2-2-200-200220000-222-2000000000000
χ2722222-2-2-2-22222-2-22-2-2-2-22222200200-2-20000-222-2000000000000
χ2822222-2-2-2-22222-2-22-2-2-2-22222-200-2002200002-2-22000000000000
χ2944444000044-4-400-400000000400-4000000000000000000000000
χ3044444000044-4-400-400000000-4004000000000000000000000000
χ31444440000-4-4-4-4004000000000000004-400000000000000000000
χ32444440000-4-4-4-400400000000000000-4400000000000000000000
χ3344-4-440044004-40-40000000000400-400000000000000000000000
χ3444-4-440044004-40-40000000000-400400000000000000000000000
χ3544-4-4400-4-4004-404000000000000000004-4000000000000000000
χ3644-4-4400-4-4004-40400000000000000000-44000000000000000000
χ3744-4-44440000-44-4000000000000400-40000000000000000000000
χ3844-4-44440000-44-4000000000000-40040000000000000000000000
χ3944-4-44-4-40000-444000000000000000000004-40000000000000000
χ4044-4-44-4-40000-44400000000000000000000-440000000000000000
χ41888-8-800000000000000044-4-40000000000000000000000000000
χ42888-8-8000000000000000-4-4440000000000000000000000000000
χ4388-88-80000000000044-4-400000000000000000000000000000000
χ4488-88-800000000000-4-44400000000000000000000000000000000
χ458-80004-44-44-400000004i−4i004i−4i0000000000000000000000000000
χ468-80004-44-44-40000000−4i4i00−4i4i0000000000000000000000000000
χ478-80004-4-44-44000004i−4i004i−4i000000000000000000000000000000
χ488-80004-4-44-4400000−4i4i00−4i4i000000000000000000000000000000
χ498-8000-444-4-44000004i−4i00−4i4i000000000000000000000000000000
χ508-8000-444-4-4400000−4i4i004i−4i000000000000000000000000000000
χ518-8000-44-444-400000004i−4i00−4i4i0000000000000000000000000000
χ528-8000-44-444-40000000−4i4i004i−4i0000000000000000000000000000

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