Finite Group Databasebeta

← Group #72337664

Character table — Group #72337664

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49
size11114448888888888888816161616161616163232323232323232323232323232323264646464
order1222222222244444444442222444444444444444488884444
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
χ511111111111111-1-1-1-11111111-1-111-1-1111111-1-1-1-11111-1-1-1-1
χ611111111111111-1-1-1-11111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-111
χ711111111111111-1-1-1-11111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ811111111111111-1-1-1-11111-1-11-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ9111111111-1-1-1-1-111-1-111-1111-11-1111-1-1-1ii−i−iii−i−iii−i−i1-1i−i
χ10111111111-1-1-1-1-111-1-111-1111-11-1111-1-1-1−i−iii−i−iii−i−iii1-1−ii
χ11111111111-1-1-1-1-111-1-111-11-1-1-11-1-1-11-111ii−i−iii−i−i−i−iii-11−ii
χ12111111111-1-1-1-1-111-1-111-11-1-1-11-1-1-11-111−i−iii−i−iiiii−i−i-11i−i
χ13111111111-1-1-1-1-1-1-11111-1111-1-1111-11-1-1ii−i−i−i−iiiii−i−i-11−ii
χ14111111111-1-1-1-1-1-1-11111-1111-1-1111-11-1-1−i−iiiii−i−i−i−iii-11i−i
χ15111111111-1-1-1-1-1-1-11111-11-1-1-1-11-1-1-1111ii−i−i−i−iii−i−iii1-1i−i
χ16111111111-1-1-1-1-1-1-11111-11-1-1-1-11-1-1-1111−i−iiiii−i−iii−i−i1-1−ii
χ172222222222222-22222-2-2-2-200-22200-2-2000000000000000000
χ182222222222222-2-2-2-2-2-2-2-2-200-2-2-20022000000000000000000
χ19222222222-2-2-2-2222-2-2-2-22-20022-200-22000000000000000000
χ20222222222-2-2-2-22-2-222-2-22-2002-22002-2000000000000000000
χ212222222-2-222-2-220000-2-22200-2000000002-22-2000000000000
χ222222222-2-222-2-220000-2-22200-200000000-22-22000000000000
χ232222222-2-222-2-2-2000022-2-20020000000000002-22-200000000
χ242222222-2-222-2-2-2000022-2-2002000000000000-22-2200000000
χ252222222-2-2-2-22220000222-200-20000000000002i−2i−2i2i00000000
χ262222222-2-2-2-22220000222-200-2000000000000−2i2i2i−2i00000000
χ272222222-2-2-2-222-20000-2-2-22002000000002i−2i−2i2i000000000000
χ282222222-2-2-2-222-20000-2-2-2200200000000−2i2i2i−2i000000000000
χ294444-44-4004-40000000000022000-2-2002-20000000000000000
χ304444-44-4004-400000000000-2-20002200-220000000000000000
χ314444-44-400-440000000000022000-2-200-220000000000000000
χ324444-44-400-4400000000000-2-200022002-20000000000000000
χ334444-4-444-400000004400000000-40000000000000000000000
χ344444-4-444-40000000-4-40000000040000000000000000000000
χ354444-4-44-440000044000000000-400000000000000000000000
χ364444-4-44-4400000-4-4000000000400000000000000000000000
χ3788888-8-8000000000000000000000000000000000000000000
χ3888-8-800000004-404i−4i4i−4i0000000000000000000000000000000
χ3988-8-800000004-40−4i4i−4i4i0000000000000000000000000000000
χ4088-8-80000000-4404i−4i−4i4i0000000000000000000000000000000
χ4188-8-80000000-440−4i4i4i−4i0000000000000000000000000000000
χ428-88-80000000004000000-4000000000000000000002i−2i2i−2i0000
χ438-88-80000000004000000-400000000000000000000−2i2i−2i2i0000
χ448-88-8000000000-40000004000000000000000000002-2-220000
χ458-88-8000000000-4000000400000000000000000000-222-20000
χ468-8-88000000000000004-400000004-400000000000000000000
χ478-8-88000000000000004-40000000-4400000000000000000000
χ488-8-8800000000000000-44004-40000000000000000000000000
χ498-8-8800000000000000-4400-440000000000000000000000000

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