Finite Group Databasebeta

← Group #72263320

Character table — Group #72263320

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size1111222222444488888888161616161616161616161616161616161616161616163232323232323232323264646464
order1222222222224422244444222222244444444444444444444444444488
χ11111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ31111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-1
χ41111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1111-1-1-111-1-1-1-1-1-111
χ511111111111111111111111-1-11111-1-1-1-11-1-111111111111111-1-1-1-1-1-1-1-1
χ611111111111111111111111-1-111-1-1-1-1-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-111
χ811111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-111111111-1-1
χ9111111111111-1-1111-1-1-111-11-1111111-1-1-11-1-1-111-1-1-1-1-11-1-11111-1-11-11-1
χ10111111111111-1-1111-1-1-111-11-111-1-111-1-1-11-1-1-111-1-1111-111-1-111-1-1-11-11
χ11111111111111-1-1111-1-1-111-11-1-1-11111-1-1-11-111-1-1111111-1-1-1-1-1-1111-1-11
χ12111111111111-1-1111-1-1-111-11-1-1-1-1-111-1-1-11-111-1-111-1-1-1-11111-1-111-111-1
χ13111111111111-1-1111-1-1-111-1-111111-1-111-1-11-1-111-1-1-1-1-11-1-111-1-111-11-11
χ14111111111111-1-1111-1-1-111-1-1111-1-1-1-111-1-11-1-111-1-1111-111-1-1-1-1111-11-1
χ15111111111111-1-1111-1-1-111-1-11-1-111-1-111-1-1111-1-1111111-1-1-1-111-1-1-111-1
χ16111111111111-1-1111-1-1-111-1-11-1-1-1-1-1-111-1-1111-1-111-1-1-1-1111111-1-11-1-11
χ17222222222222222-2-2222-2-2-20022000000-20022-2-2-2-20000000000000000
χ18222222222222222-2-2222-2-2-200-2-2000000-200-2-222220000000000000000
χ19222222222222-2-22-2-2-2-2-2-2-220022000000200-2-2-2-2220000000000000000
χ20222222222222-2-22-2-2-2-2-2-2-2200-2-20000002002222-2-20000000000000000
χ212222222222-2-222-2222-2-2-2-2-20000220000200000000000-22-20000000000
χ222222222222-2-222-2222-2-2-2-2-20000-2-200002000000000002-220000000000
χ232222222222-2-222-2-2-22-2-22220000000000-20000000022-20002-200000000
χ242222222222-2-222-2-2-22-2-22220000000000-200000000-2-22000-2200000000
χ252222222222-2-2-2-2-222-222-2-220000220000-200000000000-2-220000000000
χ262222222222-2-2-2-2-222-222-2-220000-2-20000-20000000000022-20000000000
χ272222222222-2-2-2-2-2-2-2-22222-2000000000020000000022-2000-2200000000
χ282222222222-2-2-2-2-2-2-2-22222-20000000000200000000-2-220002-200000000
χ292222-2-222-2-22200-22-20002-2002000000-2-20022-2002-2000000002-2000000
χ302222-2-222-2-22200-22-20002-2002000000-2-2002-2200-2200000000-22000000
χ312222-2-222-2-22200-22-20002-200-20000002200-22-2002-200000000-22000000
χ322222-2-222-2-22200-22-20002-200-20000002200-2-2200-22000000002-2000000
χ332222-2-222-2-22200-2-22000-220200000-2-2000202-200-2200000000002-20000
χ342222-2-222-2-22200-2-22000-220200000-2-200020-22002-20000000000-220000
χ352222-2-222-2-22200-2-22000-220-20000022000-202-200-220000000000-220000
χ362222-2-222-2-22200-2-22000-220-20000022000-20-22002-200000000002-20000
χ3744444-4-4-44-4000000004-40002200002-22-20-2-20000000000000000000000
χ3844444-4-4-44-4000000004-4000-2-20000-22-220220000000000000000000000
χ3944444-4-4-44-400000000-440002-200002-2-220-220000000000000000000000
χ4044444-4-4-44-400000000-44000-220000-222-202-20000000000000000000000
χ414444-44-4-4-440044000-4000002-20000-222-20-220000000000000000000000
χ424444-44-4-4-440044000-400000-2200002-2-2202-20000000000000000000000
χ434444-44-4-4-4400-4-4000400000220000-22-220-2-20000000000000000000000
χ444444-44-4-4-4400-4-4000400000-2-200002-22-20220000000000000000000000
χ454444-4-444-4-4-4-40044-4000-44000000000000000000000000000000000000
χ464444-4-444-4-4-4-4004-440004-4000000000000000000000000000000000000
χ4788-8-808000-8008i−8i00000000000000000000000000000000000000000000
χ4888-8-808000-800−8i8i00000000000000000000000000000000000000000000
χ4988-8-80-800080000000000000004-40000000000000000000000000000000
χ5088-8-80-80008000000000000000-440000000000000000000000000000000
χ518-88-88000-80000000000000000000000000000000004i−4i00000000000000
χ528-88-88000-8000000000000000000000000000000000−4i4i00000000000000
χ538-88-8-800080000000000000000004-400000000000000000000000000000
χ548-88-8-80008000000000000000000-4400000000000000000000000000000
χ558-8-88008-80000000000000000000000000000004-4000000000000000000
χ568-8-88008-8000000000000000000000000000000-44000000000000000000
χ578-8-8800-88008-80000000000000000000000000000000000000000000000
χ588-8-8800-8800-880000000000000000000000000000000000000000000000

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