Finite Group Databasebeta

← Group #72262361

Character table — Group #72262361

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49
size11114448888888888888816161616161616163232323232323232323232323232323264646464
order1222222222222222222444444444424444444444444448888
χ11111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ3111111111111111111111111-1-1-1-11-1-11111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-11-1-111-1-1-1-1-1-1-1-11111-1-111
χ5111111111111-1-1-1-1111111-1-11111111-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111-1-1-1-1111111-1-11111111-1-1-1-1-1-11111-1-1-1-1-1-111
χ7111111111111-1-1-1-1111111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111
χ8111111111111-1-1-1-1111111-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-1
χ9111111111-1-1-111-1-1-1-1-11111-11111-1-1-11-1ii−i−iii−i−iii−i−i1-1i−i
χ10111111111-1-1-111-1-1-1-1-11111-11111-1-1-11-1−i−iii−i−iii−i−iii1-1−ii
χ11111111111-1-1-111-1-1-1-1-11111-1-1-1-1-1-1111-1ii−i−iii−i−i−i−iii-11−ii
χ12111111111-1-1-111-1-1-1-1-11111-1-1-1-1-1-1111-1−i−iii−i−iiiii−i−i-11i−i
χ13111111111-1-1-1-1-111-1-1-1111-111111-1-1-1-11ii−i−i−i−iiiii−i−i-11−ii
χ14111111111-1-1-1-1-111-1-1-1111-111111-1-1-1-11−i−iiiii−i−i−i−iii-11i−i
χ15111111111-1-1-1-1-111-1-1-1111-11-1-1-1-1-111-11ii−i−i−i−iii−i−iii1-1i−i
χ16111111111-1-1-1-1-111-1-1-1111-11-1-1-1-1-111-11−i−iiiii−i−iii−i−i1-1−ii
χ1722222222222200002-2-2-2-2-2000000-2000000002i−2i2i−2i00000000
χ1822222222222200002-2-2-2-2-2000000-200000000−2i2i−2i2i00000000
χ19222222222-2-2-20000-222-2-2-20000002000000002-2-2200000000
χ20222222222-2-2-20000-222-2-2-2000000200000000-222-200000000
χ212222222-2-222-20000-2-2-2-2-22000000200002i−2i2i−2i000000000000
χ222222222-2-222-20000-2-2-2-2-2200000020000−2i2i−2i2i000000000000
χ232222222-2-222-22222-22222-2220000-200-2-20000000000000000
χ242222222-2-222-2-2-2-2-2-22222-2-2-20000-200220000000000000000
χ252222222-2-2-2-220000222-2-22000000-200002-2-22000000000000
χ262222222-2-2-2-220000222-2-22000000-20000-222-2000000000000
χ272222222-2-2-2-2222-2-22-2-222-22-20000200-220000000000000000
χ282222222-2-2-2-22-2-2222-2-222-2-2200002002-20000000000000000
χ294444-44-400000000004-40000022-2-202-2000000000000000000
χ304444-44-400000000004-400000-2-2220-22000000000000000000
χ314444-44-40000000000-440000022-2-20-22000000000000000000
χ324444-44-40000000000-4400000-2-22202-2000000000000000000
χ334444-4-440000000440004-400-40000000000000000000000000
χ344444-4-440000000-4-40004-40040000000000000000000000000
χ354444-4-44000004400000-440-400000000000000000000000000
χ364444-4-4400000-4-400000-440400000000000000000000000000
χ3788888-8-8000000000000000000000000000000000000000000
χ3888-8-8000000040000-40000000000000000000000002i−2i2i−2i0000
χ3988-8-8000000040000-4000000000000000000000000−2i2i−2i2i0000
χ4088-8-80000000-4000040000000000000000000000002-2-220000
χ4188-8-80000000-400004000000000000000000000000-222-20000
χ428-88-8000004-404-44-4000000000000000000000000000000000
χ438-88-8000004-40-44-44000000000000000000000000000000000
χ448-88-800000-4404-4-44000000000000000000000000000000000
χ458-88-800000-440-444-4000000000000000000000000000000000
χ468-8-880004-4000000000000000004-4000000000000000000000
χ478-8-880004-400000000000000000-44000000000000000000000
χ488-8-88000-440000000000000004-400000000000000000000000
χ498-8-88000-44000000000000000-4400000000000000000000000

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