Finite Group Databasebeta

← Group #72319089

Character table — Group #72319089

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49
size11222444444448888816161616161616161616163232323232323232323232323232323264646464
order1222222444444224442244444444424444444444488888888
χ11111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111-1-11-1-111-11-11111-1-11-1-1-1iiii−i−i−i−i11-1-1ii−i−i
χ61111111111111-1-11-1-111-11-11111-1-11-1-1-1−i−i−i−iiiii11-1-1−i−iii
χ71111111111111-1-11-1-111-11-1-1-1-1-1-1-11-111iiii−i−i−i−i-1-111−i−iii
χ81111111111111-1-11-1-111-11-1-1-1-1-1-1-11-111−i−i−i−iiiii-1-111ii−i−i
χ9111111111-1-11111-1-1-1111-1-1111111-1-1-1-111-1-111-1-1-1-1111-11-1
χ10111111111-1-11111-1-1-1111-1-1111111-1-1-1-1-1-111-1-111-1-111-11-11
χ11111111111-1-11111-1-1-1111-1-1-1-1-1-111-1-11111-1-111-1-111-1-1-11-11
χ12111111111-1-11111-1-1-1111-1-1-1-1-1-111-1-111-1-111-1-11111-1-11-11-1
χ13111111111-1-111-1-1-11111-1-111111-1-1-1111ii−i−i−i−iii-1-1-1-1i−i−ii
χ14111111111-1-111-1-1-11111-1-111111-1-1-1111−i−iiiii−i−i-1-1-1-1−iii−i
χ15111111111-1-111-1-1-11111-1-11-1-1-1-1-1-1-11-1-1ii−i−i−i−iii1111−iii−i
χ16111111111-1-111-1-1-11111-1-11-1-1-1-1-1-1-11-1-1−i−iiiii−i−i1111i−i−ii
χ17222222222222222222-2-22220000-2-2-2-2000000000000000000
χ182222222222222-2-22-2-2-2-2-22-2000022-22000000000000000000
χ19222222222-2-22222-2-2-2-2-22-2-20000-2-222000000000000000000
χ20222222222-2-222-2-2-222-2-2-2-220000222-2000000000000000000
χ2122222-2-22-2002-2220002-2-20000002-20000002-2002-200000000
χ2222222-2-22-2002-2220002-2-20000002-2000000-2200-2200000000
χ2322222-2-22-2002-222000-22-2000000-2200002-2002-20000000000
χ2422222-2-22-2002-222000-22-2000000-220000-2200-220000000000
χ2522222-2-22-2002-2-2-20002-22000000-220000002i−2i00−2i2i00000000
χ2622222-2-22-2002-2-2-20002-22000000-22000000−2i2i002i−2i00000000
χ2722222-2-22-2002-2-2-2000-2220000002-200002i−2i00−2i2i0000000000
χ2822222-2-22-2002-2-2-2000-2220000002-20000−2i2i002i−2i0000000000
χ294444444-4-400-4-4000440000-400000000000000000000000000
χ304444444-4-400-4-4000-4-40000400000000000000000000000000
χ3144444-4-4-4444-4400400000-4000000000000000000000000000
χ3244444-4-4-44-4-4-4400-4000004000000000000000000000000000
χ33444-4-40004440-400-400000002i2i−2i−2i000000000000002i−2i000000
χ34444-4-40004440-400-40000000−2i−2i2i2i00000000000000−2i2i000000
χ35444-4-40004-4-40-400400000002i2i−2i−2i00000000000000−2i2i000000
χ36444-4-40004-4-40-40040000000−2i−2i2i2i000000000000002i−2i000000
χ3744-44-4004000-404-4000000002i−2i2i−2i00000000000000002i−2i0000
χ3844-44-4004000-404-400000000−2i2i−2i2i0000000000000000−2i2i0000
χ3944-44-4004000-40-44000000002i−2i2i−2i0000000000000000−2i2i0000
χ4044-44-4004000-40-4400000000−2i2i−2i2i00000000000000002i−2i0000
χ4144-4-444-40000000004i−4i000002-2-2200002i−2i0000000000000000
χ4244-4-444-40000000004i−4i00000-222-20000−2i2i0000000000000000
χ4344-4-444-4000000000−4i4i000002-2-220000−2i2i0000000000000000
χ4444-4-444-4000000000−4i4i00000-222-200002i−2i0000000000000000
χ45888-8-8000-80008000000000000000000000000000000000000
χ4688-88-800-800080000000000000000000000000000000000000
χ4788-8-88-88000000000000000000000000000000000000000000
χ4816-1600000008-800000000000000000000000000000000000000
χ4916-160000000-8800000000000000000000000000000000000000

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