Finite Group Databasebeta

← Group #72241322

Character table — Group #72241322

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49
size11114448888888888888816161616161616163232323232323232323232323232323264646464
order1222222222222224444442222444444444444444488884444
χ11111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ31111111111111111111111-1-1111-1-111-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111
χ5111111111-1-111-1-1-111-1-1-1111-11-1111-1-1-1iiii−i−i−i−iii−i−i1-1i−i
χ6111111111-1-111-1-1-111-1-1-1111-11-1111-1-1-1−i−i−i−iiiii−i−iii1-1−ii
χ7111111111-1-111-1-1-111-1-1-11-1-1-11-1-1-11-111iiii−i−i−i−i−i−iii-11−ii
χ8111111111-1-111-1-1-111-1-1-11-1-1-11-1-1-11-111−i−i−i−iiiiiii−i−i-11i−i
χ91111111-1-11111-1-1-111-1-1-1111-1-1111-11-1-1ii−i−iii−i−iii−i−i-11−ii
χ101111111-1-11111-1-1-111-1-1-1111-1-1111-11-1-1−i−iii−i−iii−i−iii-11i−i
χ111111111-1-11111-1-1-111-1-1-11-1-1-1-11-1-1-1111ii−i−iii−i−i−i−iii1-1i−i
χ121111111-1-11111-1-1-111-1-1-11-1-1-1-11-1-1-1111−i−iii−i−iiiii−i−i1-1−ii
χ131111111-1-1-1-111111111111111-1-111-1-11111-1-1-1-1111111-1-1-1-1
χ141111111-1-1-1-111111111111111-1-111-1-111-1-11111-1-1-1-1-1-1-1-111
χ151111111-1-1-1-111111111111-1-11-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111
χ161111111-1-1-1-111111111111-1-11-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1
χ1722222220000-2-2222-2-2-2-22200-2000000002-200002-200000000
χ1822222220000-2-2222-2-2-2-22200-200000000-220000-2200000000
χ1922222220000-2-222-222-2-2-2-200200000000002-22-20000000000
χ2022222220000-2-222-222-2-2-2-20020000000000-22-220000000000
χ2122222220000-2-2-2-2222222-200-200000000002i−2i−2i2i0000000000
χ2222222220000-2-2-2-2222222-200-20000000000−2i2i2i−2i0000000000
χ2322222220000-2-2-2-2-2-2-222-22002000000002i−2i0000−2i2i00000000
χ2422222220000-2-2-2-2-2-2-222-2200200000000−2i2i00002i−2i00000000
χ25222222222222222-2-2-222-2-200-22200-2-2000000000000000000
χ26222222222-2-222-2-22-2-2-2-22-20022-200-22000000000000000000
χ272222222-2-22222-2-22-2-2-2-22-2002-22002-2000000000000000000
χ282222222-2-2-2-22222-2-2-222-2-200-2-2-20022000000000000000000
χ294444-44-40000004-4000000022000-2-2002-20000000000000000
χ304444-44-40000004-40000000-2-20002200-220000000000000000
χ314444-44-4000000-44000000022000-2-200-220000000000000000
χ324444-44-4000000-440000000-2-200022002-20000000000000000
χ334444-4-4400444-40000000000000-40000000000000000000000
χ344444-4-4400-4-44-4000000000000040000000000000000000000
χ354444-4-444400-44000000000000-400000000000000000000000
χ364444-4-44-4-400-44000000000000400000000000000000000000
χ3788888-8-8000000000000000000000000000000000000000000
χ3888-8-80000000000040000-4000000000000000000002i−2i2i−2i0000
χ3988-8-80000000000040000-400000000000000000000−2i2i−2i2i0000
χ4088-8-800000000000-400004000000000000000000002-2-220000
χ4188-8-800000000000-40000400000000000000000000-222-20000
χ428-88-80000000000004-40000000004-400000000000000000000
χ438-88-80000000000004-4000000000-4400000000000000000000
χ448-88-8000000000000-4400004-40000000000000000000000000
χ458-88-8000000000000-440000-440000000000000000000000000
χ468-8-880004-44-400000004-400000000000000000000000000000
χ478-8-880004-4-440000000-4400000000000000000000000000000
χ488-8-88000-444-40000000-4400000000000000000000000000000
χ498-8-88000-44-4400000004-400000000000000000000000000000

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