Finite Group Databasebeta

← Group #72318310

Character table — Group #72318310

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49
size1122244444488161616161616161616161616161616161616161616161632323232323232646464646464
order1222222444422224444444444444888888884444488444488
χ11111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-111111-1-1-1-1111-1-1-1-111-1-1-1-1
χ31111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1111-1-111-1-111-1-1
χ41111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-111
χ51111111111111111-1-1111111111111111111-1-1-11111-1-1-1-1-1-1
χ61111111111111111-1-111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111-1-11-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ81111111111111111-1-11-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-111-1-11111-1-1
χ911111-1-111-1-1111-1-111111-1-1ii−i−i-111-1-1ii−i−i-11-1i−ii−i1-1i−ii−i
χ1011111-1-111-1-1111-1-111111-1-1−i−iii-111-1-1−i−iii-11-1−ii−ii1-1−ii−ii
χ1111111-1-111-1-1111-1-1111-1-111ii−i−i-1-1-111−i−iii-11-1−iii−i-11i−i−ii
χ1211111-1-111-1-1111-1-1111-1-111−i−iii-1-1-111ii−i−i-11-1i−i−ii-11−iii−i
χ1311111-1-111-1-1111-1-1-1-1111-1-1ii−i−i-111-1-1ii−i−i1-11i−ii−i-11−ii−ii
χ1411111-1-111-1-1111-1-1-1-1111-1-1−i−iii-111-1-1−i−iii1-11−ii−ii-11i−ii−i
χ1511111-1-111-1-1111-1-1-1-11-1-111ii−i−i-1-1-111−i−iii1-11−iii−i1-1−iii−i
χ1611111-1-111-1-1111-1-1-1-11-1-111−i−iii-1-1-111ii−i−i1-11i−i−ii1-1i−i−ii
χ172222222222222-2-2200-222220000-2-2-2-2-200000000000000000
χ182222222222222-2-2200-2-2-2-2-20000-2222200000000000000000
χ1922222222222-2-222-200-200002222-20000000000000-2-2000000
χ2022222222222-2-222-200-20000-2-2-2-2-2000000000000022000000
χ2122222222222-2-2-2-2-200200000000200002222000-2-200000000
χ2222222222222-2-2-2-2-20020000000020000-2-2-2-20002200000000
χ2322222-2-222-2-222-22-200-222-2-200002-2-22200000000000000000
χ2422222-2-222-2-222-22-200-2-2-2220000222-2-200000000000000000
χ2522222-2-222-2-2-2-22-2200-200002i2i−2i−2i20000000000000−2i2i000000
χ2622222-2-222-2-2-2-22-2200-20000−2i−2i2i2i200000000000002i−2i000000
χ2722222-2-222-2-2-2-2-22200200000000-200002i2i−2i−2i000−2i2i00000000
χ2822222-2-222-2-2-2-2-22200200000000-20000−2i−2i2i2i0002i−2i00000000
χ294444444-4-4-4-400000220000000000000000002-2-20000000000
χ304444444-4-4-4-400000-2-2000000000000000000-2220000000000
χ3144444-4-4-4-4440000022000000000000000000-2-220000000000
χ3244444-4-4-4-44400000-2-200000000000000000022-20000000000
χ33444-4-44-40000000000002i−2i2i−2i2-22-2000002i−2i2i−2i0000000000000
χ34444-4-44-40000000000002i−2i2i−2i-22-2200000−2i2i−2i2i0000000000000
χ35444-4-44-4000000000000−2i2i−2i2i2-22-200000−2i2i−2i2i0000000000000
χ36444-4-44-4000000000000−2i2i−2i2i-22-22000002i−2i2i−2i0000000000000
χ37444-4-4-440000000000002i−2i−2i2i2i−2i−2i2i00000-222-20000000000000
χ38444-4-4-440000000000002i−2i−2i2i−2i2i2i−2i000002-2-220000000000000
χ39444-4-4-44000000000000−2i2i2i−2i2i−2i−2i2i000002-2-220000000000000
χ40444-4-4-44000000000000−2i2i2i−2i−2i2i2i−2i00000-222-20000000000000
χ4144-44-4004-4004-4000000000000000004i−4i00000000000000000
χ4244-44-4004-4004-400000000000000000−4i4i00000000000000000
χ4344-44-4004-400-440000000000000004i−4i0000000000000000000
χ4444-44-4004-400-44000000000000000−4i4i0000000000000000000
χ4588-88-800-880000000000000000000000000000000000000000
χ4688-8-8800008-800000000000000000000000000000000000000
χ4788-8-880000-8800000000000000000000000000000000000000
χ4816-16000000000000004i−4i0000000000000000000000000000000
χ4916-1600000000000000−4i4i0000000000000000000000000000000

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