Finite Group Databasebeta

← Group #72227940

Character table — Group #72227940

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49
size11114448888888888888816161616161616163232323232323232323232323232323264646464
order1222222222244444444442222224444444444444488884444
χ11111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ3111111111111111111111111-1-11-1-111-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-11-1-111-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111-1-1-1-111-1-111111-1-1111111-1-1-1-11111-1-1-1-1
χ61111111111111111-1-1-1-111-1-111111-1-111-1-1-1-11111-1-1-1-1-1-111
χ71111111111111111-1-1-1-111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ81111111111111111-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ9111111111-1-1-111-1-111-1-1-111-111-1111-1-1-1ii−i−iii−i−iii−i−i1-1i−i
χ10111111111-1-1-111-1-111-1-1-111-111-1111-1-1-1−i−iii−i−iii−i−iii1-1−ii
χ11111111111-1-1-111-1-111-1-1-111-1-1-1-1-1-11-111ii−i−iii−i−i−i−iii-11−ii
χ12111111111-1-1-111-1-111-1-1-111-1-1-1-1-1-11-111−i−iii−i−iiiii−i−i-11i−i
χ13111111111-1-1-111-1-1-1-111-11-1111-111-11-1-1ii−i−i−i−iiiii−i−i-11−ii
χ14111111111-1-1-111-1-1-1-111-11-1111-111-11-1-1−i−iiiii−i−i−i−iii-11i−i
χ15111111111-1-1-111-1-1-1-111-11-11-1-1-1-1-1-1111ii−i−i−i−iii−i−iii1-1i−i
χ16111111111-1-1-111-1-1-1-111-11-11-1-1-1-1-1-1111−i−iiiii−i−iii−i−i1-1−ii
χ1722222222222-2-2-2222222-2-22200-200-2-2000000000000000000
χ1822222222222-2-2-222-2-2-2-2-2-2-2-200-20022000000000000000000
χ19222222222-2-22-2-2-2-222-2-22-22-200200-22000000000000000000
χ20222222222-2-22-2-2-2-2-2-2222-2-22002002-2000000000000000000
χ212222222-2-2222-2-2-2-20000220000-20000002-22-2000000000000
χ222222222-2-2222-2-2-2-20000220000-2000000-22-22000000000000
χ232222222-2-222-222-2-20000-2-20000200000000002-22-200000000
χ242222222-2-222-222-2-20000-2-2000020000000000-22-2200000000
χ252222222-2-2-2-22222200002-20000-200000000002i−2i−2i2i00000000
χ262222222-2-2-2-22222200002-20000-20000000000−2i2i2i−2i00000000
χ272222222-2-2-2-2-2-2-2220000-22000020000002i−2i−2i2i000000000000
χ282222222-2-2-2-2-2-2-2220000-2200002000000−2i2i2i−2i000000000000
χ294444-44-4004-40000000000000220-2-2002-20000000000000000
χ304444-44-4004-40000000000000-2-202200-220000000000000000
χ314444-44-400-440000000000000220-2-200-220000000000000000
χ324444-44-400-440000000000000-2-2022002-20000000000000000
χ334444-4-444-400000000044000-40000000000000000000000000
χ344444-4-444-4000000000-4-400040000000000000000000000000
χ354444-4-44-440000000440000-400000000000000000000000000
χ364444-4-44-440000000-4-40000400000000000000000000000000
χ3788888-8-8000000000000000000000000000000000000000000
χ3888-8-80000000400000000-4000000000000000000002i−2i2i−2i0000
χ3988-8-80000000400000000-400000000000000000000−2i2i−2i2i0000
χ4088-8-80000000-4000000004000000000000000000002-2-220000
χ4188-8-80000000-400000000400000000000000000000-222-20000
χ428-88-800000000004-44-44-400000000000000000000000000000
χ438-88-800000000004-4-44-4400000000000000000000000000000
χ448-88-80000000000-444-4-4400000000000000000000000000000
χ458-88-80000000000-44-444-400000000000000000000000000000
χ468-8-88000000004-400000000000004-400000000000000000000
χ478-8-88000000004-40000000000000-4400000000000000000000
χ488-8-8800000000-4400000000004-400000000000000000000000
χ498-8-8800000000-440000000000-4400000000000000000000000

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