Finite Group Databasebeta

← Group #72318249

Character table — Group #72318249

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49
size11222444444448888816161616161616161616163232323232323232323232323232323264646464
order1222222444444224442222444444444444444444488888888
χ11111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111-1-11-1-1111111-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111-1-11-1-11111-1111-1-1-11-1-1-1iiii−i−i−i−i11-1-1ii−i−i
χ61111111111111-1-11-1-11111-1111-1-1-11-1-1-1−i−i−i−iiiii11-1-1−i−iii
χ71111111111111-1-11-1-111-1-1-1-1-11-1-1-11-111iiii−i−i−i−i-1-111−i−iii
χ81111111111111-1-11-1-111-1-1-1-1-11-1-1-11-111−i−i−i−iiiii-1-111ii−i−i
χ9111111111-1-11111-1-1-11111111-1-111-1-1-1-111-1-111-1-1-1-1111-11-1
χ10111111111-1-11111-1-1-11111111-1-111-1-1-1-1-1-111-1-111-1-111-11-11
χ11111111111-1-11111-1-1-111-1-11-1-1-1-111-1-11111-1-111-1-111-1-1-11-11
χ12111111111-1-11111-1-1-111-1-11-1-1-1-111-1-111-1-111-1-11111-1-11-11-1
χ13111111111-1-111-1-1-1111111-111-11-1-1-1111ii−i−i−i−iii-1-1-1-1i−i−ii
χ14111111111-1-111-1-1-1111111-111-11-1-1-1111−i−iiiii−i−i-1-1-1-1−iii−i
χ15111111111-1-111-1-1-11111-1-1-1-1-1-11-1-1-11-1-1ii−i−i−i−iii1111−iii−i
χ16111111111-1-111-1-1-11111-1-1-1-1-1-11-1-1-11-1-1−i−iiiii−i−i1111i−i−ii
χ17222222222222222222-2-20020022-2-2-2-2000000000000000000
χ182222222222222-2-22-2-2-2-200-2002-222-22000000000000000000
χ19222222222-2-22222-2-2-2-2-200200-2-2-2-222000000000000000000
χ20222222222-2-222-2-2-222-2-200-200-22222-2000000000000000000
χ2122222-2-22-2002-2220002-200-200002-20000002-2002-200000000
χ2222222-2-22-2002-2220002-200-200002-2000000-2200-2200000000
χ2322222-2-22-2002-222000-2200-20000-2200002-2002-20000000000
χ2422222-2-22-2002-222000-2200-20000-220000-2200-220000000000
χ2522222-2-22-2002-2-2-20002-20020000-220000002i−2i00−2i2i00000000
χ2622222-2-22-2002-2-2-20002-20020000-22000000−2i2i002i−2i00000000
χ2722222-2-22-2002-2-2-2000-2200200002-200002i−2i00−2i2i0000000000
χ2822222-2-22-2002-2-2-2000-2200200002-20000−2i2i002i−2i0000000000
χ294444444-4-400-4-40004400000000-40000000000000000000000
χ304444444-4-400-4-4000-4-40000000040000000000000000000000
χ3144444-4-4-4444-44004000000000-400000000000000000000000
χ3244444-4-4-44-4-4-4400-4000000000400000000000000000000000
χ33444-4-44-40000000004i−4i00220-2-20000002i−2i0000000000000000
χ34444-4-44-40000000004i−4i00-2-2022000000−2i2i0000000000000000
χ35444-4-44-4000000000−4i4i00220-2-2000000−2i2i0000000000000000
χ36444-4-44-4000000000−4i4i00-2-20220000002i−2i0000000000000000
χ3744-44-4000-4440400-400002-202-200000000000000002-2000000
χ3844-44-4000-4440400-40000-220-220000000000000000-22000000
χ3944-44-4000-4-4-40400400002-202-20000000000000000-22000000
χ4044-44-4000-4-4-4040040000-220-2200000000000000002-2000000
χ4144-4-4400-4000404-4000002-20-220000000000000000002-20000
χ4244-4-4400-4000404-400000-2202-2000000000000000000-220000
χ4344-4-4400-400040-44000002-20-22000000000000000000-220000
χ4444-4-4400-400040-4400000-2202-20000000000000000002-20000
χ45888-8-8-88000000000000000000000000000000000000000000
χ4688-88-80008000-8000000000000000000000000000000000000
χ4788-8-88008000-80000000000000000000000000000000000000
χ4816-1600000008i−8i00000000000000000000000000000000000000
χ4916-160000000−8i8i00000000000000000000000000000000000000

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