Finite Group Databasebeta

← Group #72251734

Character table — Group #72251734

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49
size11222444444448888816161616161616161616163232323232323232323232323232323264646464
order1222222224444222222222244444444444444444488888888
χ11111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111-1-111-1-11111-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-11-1-1111111-1-11-111iiii−i−i−i−i-1-1-1-1ii−i−i
χ611111111111111-1-1-1-11-1-1111111-1-11-111−i−i−i−iiiii-1-1-1-1−i−iii
χ711111111111111-1-1-1-11-1-1-1-111-1-1-1-11-1-1-1iiii−i−i−i−i1111−i−iii
χ811111111111111-1-1-1-11-1-1-1-111-1-1-1-11-1-1-1−i−i−i−iiiii1111ii−i−i
χ9111111-1-111111-111-1-111-1111-111-1-1-11-1-1ii−i−iii−i−i11-1-1i−ii−i
χ10111111-1-111111-111-1-111-1111-111-1-1-11-1-1−i−iii−i−iii11-1-1−ii−ii
χ11111111-1-111111-111-1-111-1-1-11-1-1-1-1-1-1111ii−i−iii−i−i-1-111−ii−ii
χ12111111-1-111111-111-1-111-1-1-11-1-1-1-1-1-1111−i−iii−i−iii-1-111i−ii−i
χ13111111-1-111111-1-1-1111-11111-11111-1-1-1-111-1-1-1-111-1-1111-1-11
χ14111111-1-111111-1-1-1111-11111-11111-1-1-1-1-1-11111-1-1-1-111-111-1
χ15111111-1-111111-1-1-1111-11-1-11-1-1-111-1-11111-1-1-1-11111-1-1-111-1
χ16111111-1-111111-1-1-1111-11-1-11-1-1-111-1-111-1-11111-1-111-1-11-1-11
χ17222222222222222222-22200-2200-2-2-2-2000000000000000000
χ1822222222222222-2-2-2-2-2-2-200-220022-22000000000000000000
χ19222222-2-222222-222-2-2-22-200-2-200222-2000000000000000000
χ20222222-2-222222-2-2-222-2-2200-2-200-2-222000000000000000000
χ2122222-200-22-22-20002220-200-20002-20000002-22-20000000000
χ2222222-200-22-22-20002220-200-20002-2000000-22-220000000000
χ2322222-200-22-22-200022-20-2002000-2200002-200002-200000000
χ2422222-200-22-22-200022-20-2002000-220000-220000-2200000000
χ2522222-200-22-22-2000-2-220200-2000-220000002i−2i−2i2i0000000000
χ2622222-200-22-22-2000-2-220200-2000-22000000−2i2i2i−2i0000000000
χ2722222-200-22-22-2000-2-2-2020020002-200002i−2i0000−2i2i00000000
χ2822222-200-22-22-2000-2-2-2020020002-20000−2i2i00002i−2i00000000
χ29444444444-4-4-4-440000000000-4000000000000000000000000
χ30444444-4-44-4-4-4-4-400000000004000000000000000000000000
χ3144444-400-4-44-44044000-400000000000000000000000000000
χ3244444-400-4-44-440-4-4000400000000000000000000000000000
χ33444-4-400000-40404-4000002200-2-2000000000000002-2000000
χ34444-4-400000-40404-400000-2-2002200000000000000-22000000
χ35444-4-400000-4040-44000002200-2-200000000000000-22000000
χ36444-4-400000-4040-4400000-2-20022000000000000002-2000000
χ3744-44-40000-40400004-40002-2002-200000000000000002-20000
χ3844-44-40000-40400004-4000-2200-220000000000000000-220000
χ3944-44-40000-4040000-440002-2002-20000000000000000-220000
χ4044-44-40000-4040000-44000-2200-2200000000000000002-20000
χ4144-4-44-44440000-400000002-200-2200002-20000000000000000
χ4244-4-44-44440000-40000000-22002-20000-220000000000000000
χ4344-4-44-4-4-440000400000002-200-220000-220000000000000000
χ4444-4-44-4-4-44000040000000-22002-200002-20000000000000000
χ45888-8-80000080-8000000000000000000000000000000000000
χ4688-88-8000080-80000000000000000000000000000000000000
χ4788-8-88800-80000000000000000000000000000000000000000
χ4816-1600008-800000000000000000000000000000000000000000
χ4916-160000-8800000000000000000000000000000000000000000

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