Finite Group Databasebeta

← Group #72251730

Character table — Group #72251730

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49
size11222444444448888816161616161616161616163232323232323232323232323232323264646464
order1222222224444222222224444888824444444444444884488
χ11111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ31111111111111111111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-1-1-1-1111-11111-1-11-1-1-1iiii−i−i−i−i11i−ii−i
χ611111111111111-1-1-1-1-1-1-1111-11111-1-11-1-1-1−i−i−i−iiiii11−ii−ii
χ711111111111111-1-1-1-1-1-1-1111-1-1-1-1-1111-111iiii−i−i−i−i-1-1−ii−ii
χ811111111111111-1-1-1-1-1-1-1111-1-1-1-1-1111-111−i−i−i−iiiii-1-1i−ii−i
χ9111111-1-111111-111-1-11-1-1-111-11111-1-1-1111ii−i−iii−i−i-1-1i−i−ii
χ10111111-1-111111-111-1-11-1-1-111-11111-1-1-1111−i−iii−i−iii-1-1−iii−i
χ11111111-1-111111-111-1-11-1-1-111-1-1-1-1-111-11-1-1ii−i−iii−i−i11−iii−i
χ12111111-1-111111-111-1-11-1-1-111-1-1-1-1-111-11-1-1−i−iii−i−iii11i−i−ii
χ13111111-1-111111-1-1-111-111-1111111111-1-1-1-111-1-1-1-111-1-111-1-1
χ14111111-1-111111-1-1-111-111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-111
χ15111111-1-111111-1-1-111-111-1111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ16111111-1-111111-1-1-111-111-1111-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1
χ1722222222222222222222-22-2-2-2000000-2-20000000000000000
χ1822222222222222-2-2-2-2-2-222-2-22000000-220000000000000000
χ19222222-2-222222-222-2-22-22-2-2-220000002-20000000000000000
χ20222222-2-222222-2-2-222-22-2-2-2-2-2000000220000000000000000
χ2122222-200-22-22-2000220-2202-2-200000000002-200002-2000000
χ2222222-200-22-22-2000220-2202-2-20000000000-220000-22000000
χ2322222-200-22-22-2000220-2-20-2220000000000002-22-200000000
χ2422222-200-22-22-2000220-2-20-222000000000000-22-2200000000
χ2522222-200-22-22-2000-2-20220-22-20000000000002i−2i−2i2i00000000
χ2622222-200-22-22-2000-2-20220-22-2000000000000−2i2i2i−2i00000000
χ2722222-200-22-22-2000-2-202-202-2200000000002i−2i0000−2i2i000000
χ2822222-200-22-22-2000-2-202-202-220000000000−2i2i00002i−2i000000
χ29444444444-4-4-4-440000000-4000000000000000000000000000
χ30444444-4-44-4-4-4-4-400000004000000000000000000000000000
χ3144444-400-4-44-4404400-4000000000000000000000000000000
χ3244444-400-4-44-440-4-4004000000000000000000000000000000
χ33444-4-400000-40404-400000000022-2-200002-200000000000000
χ34444-4-400000-40404-4000000000-2-2220000-2200000000000000
χ35444-4-400000-4040-4400000000022-2-20000-2200000000000000
χ36444-4-400000-4040-44000000000-2-22200002-200000000000000
χ3744-44-40000-40400004-400000002-22-22-2000000000000000000
χ3844-44-40000-40400004-40000000-22-22-22000000000000000000
χ3944-44-40000-4040000-4400000002-22-2-22000000000000000000
χ4044-44-40000-4040000-440000000-22-222-2000000000000000000
χ4144-4-44-44440000-4000000000002-2-22000000000000002-20000
χ4244-4-44-44440000-400000000000-222-200000000000000-220000
χ4344-4-44-4-4-4400004000000000002-2-2200000000000000-220000
χ4444-4-44-4-4-440000400000000000-222-2000000000000002-20000
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).