Finite Group Databasebeta

← Group #72319597

Character table — Group #72319597

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size112224444444488888881616161616161616161616161616161616161616161632326464646464646464
order1222222444444224444422444444444444888888884444448888
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111
χ511111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i
χ611111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii
χ711111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1ii−i−i−i−iii
χ811111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1−i−iiiii−i−i
χ9111111111-1-1111111-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-11-11-11-11-1
χ10111111111-1-1111111-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-11-11-11-11
χ11111111111-1-1111111-1-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-11-11-1-11-11
χ12111111111-1-1111111-1-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-11-111-11-1
χ13111111111-1-1111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111i−i−iii−i−ii
χ14111111111-1-1111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111−iii−i−iii−i
χ15111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111i−i−ii−iii−i
χ16111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111−iii−ii−i−ii
χ172222222222222-2-2-2-222222-2-200000000-2-2000000002-200000000
χ182222222222222-2-2-2-2222-2-2-2-2000000002200000000-2200000000
χ19222222222-2-222-2-2-2-2-2-2-2222200000000-2-200000000-2200000000
χ20222222222-2-222-2-2-2-2-2-2-2-2-2220000000022000000002-200000000
χ2122222-2-2-2-2002222-2-20002-200000022-2-22-2000022-2-20000000000
χ2222222-2-2-2-2002222-2-20002-2000000-2-2222-20000-2-2220000000000
χ2322222-2-2-2-2002222-2-2000-2200000022-2-2-220000-2-2220000000000
χ2422222-2-2-2-2002222-2-2000-22000000-2-222-22000022-2-20000000000
χ2522222-2-2-2-20022-2-2220002-20022-2-20000-2222-2-200000000000000
χ2622222-2-2-2-20022-2-2220002-200-2-2220000-22-2-22200000000000000
χ2722222-2-2-2-20022-2-222000-220022-2-200002-2-2-22200000000000000
χ2822222-2-2-2-20022-2-222000-2200-2-22200002-222-2-200000000000000
χ294444444-4-400-4-40000000004-40000000000000000000000000000
χ304444444-4-400-4-4000000000-440000000000000000000000000000
χ3144444-4-44444-4-400004-4-400000000000000000000000000000000
χ3244444-4-444-4-4-4-40000-44400000000000000000000000000000000
χ3344-44-40000004-4004-400000000000000000004i−4i00000000000000
χ3444-44-40000004-4004-40000000000000000000−4i4i00000000000000
χ3544-44-40000004-400-44000000000000000004i−4i0000000000000000
χ3644-44-40000004-400-4400000000000000000−4i4i0000000000000000
χ3744-44-4000000-444-400000000000000000000000004i−4i0000000000
χ3844-44-4000000-444-40000000000000000000000000−4i4i0000000000
χ3944-44-4000000-44-44000000000000000000000004i−4i000000000000
χ4044-44-4000000-44-4400000000000000000000000−4i4i000000000000
χ4144-4-44004-40000000004-400002-22-22-22-200000000000000000000
χ4244-4-44004-40000000004-40000-22-22-22-2200000000000000000000
χ4344-4-44004-4000000000-4400002-22-2-22-2200000000000000000000
χ4444-4-44004-4000000000-440000-22-222-22-200000000000000000000
χ4544-4-4400-4444000000-40000002-2-222-2-2200000000000000000000
χ4644-4-4400-4444000000-4000000-222-2-222-200000000000000000000
χ4744-4-4400-44-4-400000040000002-2-22-222-200000000000000000000
χ4844-4-4400-44-4-40000004000000-222-22-2-2200000000000000000000
χ49888-8-88-8000000000000000000000000000000000000000000000
χ50888-8-8-88000000000000000000000000000000000000000000000
χ5116-1600000008i−8i00000000000000000000000000000000000000000
χ5216-160000000−8i8i00000000000000000000000000000000000000000

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