Finite Group Databasebeta

← Group #72219515

Character table — Group #72219515

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49
size1122244444488161616161616161616161616161616161616161616161632323232323232646464646464
order1222222444444222224444448888888888882444444444488
χ11111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111
χ3111111111111111111111-1-11111111111111-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ511111111111111-1-1111-1-1111-1-1-1-11111-1-1-1-111111-1-111-1-1-1-1
χ611111111111111-1-1111-1-1111-1-1-1-1-1-1-1-11111111-1-111-1-111-1-1
χ711111111111111-1-1111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-11111
χ811111111111111-1-1111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-111
χ911111-1-11-11-11111-1-1-111-111-111-1-1ii−i−iii−i−i-11-1i−ii−ii−ii−i1-1
χ1011111-1-11-11-11111-1-1-111-111-111-1-1−i−iii−i−iii-11-1−ii−ii−ii−ii1-1
χ1111111-1-11-11-11111-1-1-111-1-1-1-111-1-1ii−i−iii−i−i1-11i−ii−i−ii−ii-11
χ1211111-1-11-11-11111-1-1-111-1-1-1-111-1-1−i−iii−i−iii1-11−ii−iii−ii−i-11
χ1311111-1-11-11-1111-11-1-11-1111-1-1-111ii−i−i−i−iii-11-1i−i−iii−i−ii-11
χ1411111-1-11-11-1111-11-1-11-1111-1-1-111−i−iiiii−i−i-11-1−iii−i−iii−i-11
χ1511111-1-11-11-1111-11-1-11-11-1-1-1-1-111ii−i−i−i−iii1-11i−i−ii−iii−i1-1
χ1611111-1-11-11-1111-11-1-11-11-1-1-1-1-111−i−iiiii−i−i1-11−iii−ii−i−ii1-1
χ172222222222222-222-2-2-222002-2-2-2-2000000000000000000000
χ182222222222222-2-2-2-2-2-2-2-20022222000000000000000000000
χ1922222222222-2-22002-2-20000-200000000222200000-2-2000000
χ2022222222222-2-22002-2-20000-200000000-2-2-2-20000022000000
χ2122222222222-2-2-200-2220000-2000022220000000-2-200000000
χ2222222222222-2-2-200-2220000-20000-2-2-2-200000002200000000
χ2322222-2-22-22-222-22-222-22-200-2-2-222000000000000000000000
χ2422222-2-22-22-222-2-2222-2-2200-222-2-2000000000000000000000
χ2522222-2-22-22-2-2-2200-22-200002000000002i2i−2i−2i00000−2i2i000000
χ2622222-2-22-22-2-2-2200-22-20000200000000−2i−2i2i2i000002i−2i000000
χ2722222-2-22-22-2-2-2-2002-220000200002i2i−2i−2i0000000−2i2i00000000
χ2822222-2-22-22-2-2-2-2002-22000020000−2i−2i2i2i00000002i−2i00000000
χ294444444-4-4-4-400000000002200000000000002-2-20000000000
χ304444444-4-4-4-40000000000-2-20000000000000-2220000000000
χ3144444-4-4-44-440000000000220000000000000-2-220000000000
χ3244444-4-4-44-440000000000-2-2000000000000022-20000000000
χ33444-4-400040-400000000000002-22-22i−2i2i−2i2i−2i2i−2i0000000000000
χ34444-4-400040-400000000000002-22-2−2i2i−2i2i−2i2i−2i2i0000000000000
χ35444-4-400040-40000000000000-22-222i−2i2i−2i−2i2i−2i2i0000000000000
χ36444-4-400040-40000000000000-22-22−2i2i−2i2i2i−2i2i−2i0000000000000
χ37444-4-4000-40400000000000002-2-222-2-222-2-220000000000000
χ38444-4-4000-40400000000000002-2-22-222-2-222-20000000000000
χ39444-4-4000-4040000000000000-222-22-2-22-222-20000000000000
χ40444-4-4000-4040000000000000-222-2-222-22-2-220000000000000
χ4144-4-4400-40404-40040000-40000000000000000000000000000
χ4244-4-4400-40404-400-4000040000000000000000000000000000
χ4344-4-4400-4040-44040000-400000000000000000000000000000
χ4444-4-4400-4040-440-40000400000000000000000000000000000
χ4588-88-88-8000000000000000000000000000000000000000000
χ4688-88-8-88000000000000000000000000000000000000000000
χ4788-8-880080-8000000000000000000000000000000000000000
χ4816-1600000000000000000004-400000000000000000000000000
χ4916-160000000000000000000-4400000000000000000000000000

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