Finite Group Databasebeta

← Group #72238692

Character table — Group #72238692

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size11112222224444888816161616161616161616161616161616323232323232323232323232323264646464
order1222222222224424442222224444444444244444444488884444
χ11111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-1111111-1-1-1-1-1-11-11-11-11111-1-1-1-111-1-1
χ6111111111111111111-1-1-1-1111111-1-1-1-1-1-11-11-11-1-1-1-1-11111-1-111
χ7111111111111111111-1-1-1-11111-1-111-1-1-1-1-11-11-111111-1-1-1-1-1-111
χ8111111111111111111-1-1-1-11111-1-111-1-1-1-1-11-11-11-1-1-1-1111111-1-1
χ91111111111-1-111-11-1-111-1-1-1-111111111-1-1-1-111-1-1ii−i−iii−i−ii−ii−i
χ101111111111-1-111-11-1-111-1-1-1-111111111-1-1-1-111-1-1−i−iii−i−iii−ii−ii
χ111111111111-1-111-11-1-111-1-1-1-111-1-1-1-111-1-111-1-111ii−i−iii−i−i−ii−ii
χ121111111111-1-111-11-1-111-1-1-1-111-1-1-1-111-1-111-1-111−i−iii−i−iiii−ii−i
χ131111111111-1-111-11-1-1-1-111-1-11111-1-1-1-111-111-1-11ii−i−i−i−iiii−i−ii
χ141111111111-1-111-11-1-1-1-111-1-11111-1-1-1-111-111-1-11−i−iiiii−i−i−iii−i
χ151111111111-1-111-11-1-1-1-111-1-111-1-111-1-1111-1-111-1ii−i−i−i−iii−iii−i
χ161111111111-1-111-11-1-1-1-111-1-111-1-111-1-1111-1-111-1−i−iiiii−i−ii−i−ii
χ172222222222222222222222-2-2-2-20000-2-2-2-2000000000000000000
χ18222222222222222222-2-2-2-2-2-2-2-200002222000000000000000000
χ19222222222222-2-22-2-2-200002-22-200220000020-20-2000000000000
χ20222222222222-2-22-2-2-200002-22-200-2-200000-20202000000000000
χ21222222222222-2-22-2-2-20000-22-222200000020-20-20000000000000
χ22222222222222-2-22-2-2-20000-22-22-2-2000000-202020000000000000
χ232222222222-2-222-22-2-222-2-222-2-20000-2-222000000000000000000
χ242222222222-2-222-22-2-2-2-22222-2-2000022-2-2000000000000000000
χ252222222222-2-2-2-2-2-22200002-2-2222000000-20-2020000000000000
χ262222222222-2-2-2-2-2-22200002-2-22-2-20000002020-20000000000000
χ272222222222-2-2-2-2-2-2220000-222-2002200000-20-202000000000000
χ282222222222-2-2-2-2-2-2220000-222-200-2-2000002020-2000000000000
χ29444444-4-4-4-40000004-4000000000000000000000000002i−2i2i−2i0000
χ30444444-4-4-4-40000004-400000000000000000000000000−2i2i−2i2i0000
χ31444444-4-4-4-4000000-44000000000000000000000000002-2-220000
χ32444444-4-4-4-4000000-4400000000000000000000000000-222-20000
χ334444-4-444-4-44400-400000000000000000000000002-22-200000000
χ344444-4-444-4-44400-40000000000000000000000000-22-2200000000
χ354444-4-444-4-4-4-400400000000000000000000000002i−2i−2i2i00000000
χ364444-4-444-4-4-4-40040000000000000000000000000−2i2i2i−2i00000000
χ374444-4-4-4-44400440-4004-400000000000000000000000000000000
χ384444-4-4-4-44400440-400-4400000000000000000000000000000000
χ394444-4-4-4-44400-4-404000000000000004-400000000000000000000
χ404444-4-4-4-44400-4-40400000000000000-4400000000000000000000
χ4188-8-800008-800000000004-4000000000000000000000000000000
χ4288-8-800008-80000000000-44000000000000000000000000000000
χ4388-8-80000-88008-800000000000000000000000000000000000000
χ4488-8-80000-8800-8800000000000000000000000000000000000000
χ458-88-8008-80000000000000000000000004-4000000000000000000
χ468-88-8008-8000000000000000000000000-44000000000000000000
χ478-88-800-88008-80000000000000000000000000000000000000000
χ488-88-800-8800-880000000000000000000000000000000000000000
χ498-8-888-800000000000000000000004-40000000000000000000000
χ508-8-888-80000000000000000000000-440000000000000000000000
χ518-8-88-88000000000000000000004-4000000000000000000000000
χ528-8-88-8800000000000000000000-44000000000000000000000000

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