Finite Group Databasebeta

← Group #72262586

Character table — Group #72262586

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size1111222222444488888888161616161616161616161616161616161616161616163232323232323232323264646464
order1222222222444422224444222224444444444444444444444488884488
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-111-1-1
χ31111111111111111111111111-1-111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111-1-11111111-1-1-1-111-1-1-1-11-111-1-1-1-1-1-1-1-111
χ511111111111111111111111-1-111-1-1-1-11-1-11111111111111111-1-1-1-1-1-1-1-1
χ611111111111111111111111-1-111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-111
χ711111111111111111111111-1-1-1-1-1-1-1-11-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111
χ811111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-11-111-1-1111111-1-1
χ91111111111-1-111-1-1111-111-11-1111-11-1-11-111-1-11111-1-1-111-1-1-111-1-11-11-1
χ101111111111-1-111-1-1111-111-11-1111-11-1-11-1-1-111-1-1-1-11111-11-1-1-1-1111-1-11
χ111111111111-1-111-1-1111-111-11-1-1-11-11-1-11-111-1-1-1-111-1-11-1-111111-1-1-11-11
χ121111111111-1-111-1-1111-111-11-1-1-11-11-1-11-1-1-11111-1-111-1-11-111-1-111-111-1
χ131111111111-1-111-1-1111-111-1-1111-11-11-1-1111-1-11111-1-1-111-1-1-1-1-111-11-11
χ141111111111-1-111-1-1111-111-1-1111-11-11-1-11-1-111-1-1-1-11111-11-1-111-1-1-111-1
χ151111111111-1-111-1-1111-111-1-11-1-1-11-11-1-1111-1-1-1-111-1-11-1-1111-1-1111-11-1
χ161111111111-1-111-1-1111-111-1-11-1-1-11-11-1-11-1-11111-1-111-1-11-11111-1-11-1-11
χ172222222222222222-2-222-2-2-200000000-200222200-2-2-2-200000000000000
χ182222222222222222-2-222-2-2-200000000-200-2-2-2-200222200000000000000
χ19222222222222-2-2-2-222-22-2-2200220000-20000000000000-200-2200000000
χ20222222222222-2-2-2-222-22-2-2200-2-20000-200000000000002002-200000000
χ21222222222222-2-2-2-2-2-2-2222-2000000002000000220000-20-220000000000
χ22222222222222-2-2-2-2-2-2-2222-2000000002000000-2-20000202-20000000000
χ232222222222-2-222-2-2-2-22-2-2-220000000020022-2-200-2-22200000000000000
χ242222222222-2-222-2-2-2-22-2-2-2200000000200-2-2220022-2-200000000000000
χ252222222222-2-2-2-22222-2-2-2-2-20022000020000000000000-2002-200000000
χ262222222222-2-2-2-22222-2-2-2-2-200-2-2000020000000000000200-2200000000
χ272222222222-2-2-2-222-2-2-2-222200000000-200000022000020-2-20000000000
χ282222222222-2-2-2-222-2-2-2-222200000000-2000000-2-20000-20220000000000
χ29222222-2-2-2-200-2-2002-2202-200200020-200-22i−2i00002i−2i00000000002i−2i0000
χ30222222-2-2-2-200-2-2002-2202-200200020-200-2−2i2i0000−2i2i0000000000−2i2i0000
χ31222222-2-2-2-200-2-2002-2202-200-2000-2020022i−2i00002i−2i0000000000−2i2i0000
χ32222222-2-2-2-200-2-2002-2202-200-2000-202002−2i2i0000−2i2i00000000002i−2i0000
χ33222222-2-2-2-200-2-200-2220-220200020-200-202i−2i0000−2i2i000000002i−2i000000
χ34222222-2-2-2-200-2-200-2220-220200020-200-20−2i2i00002i−2i00000000−2i2i000000
χ35222222-2-2-2-200-2-200-2220-220-2000-20200202i−2i0000−2i2i00000000−2i2i000000
χ36222222-2-2-2-200-2-200-2220-220-2000-2020020−2i2i00002i−2i000000002i−2i000000
χ37444444-4-4-4-40044004-4-40-44000000000000000000000000000000000000
χ38444444-4-4-4-4004400-44-404-4000000000000000000000000000000000000
χ394444-4-44-4-44440000000-40002200-2-2220-2-2000000000000000000000000
χ404444-4-44-4-44440000000-4000-2-20022-2-2022000000000000000000000000
χ414444-4-44-4-44-4-4000000040002-200-222-20-22000000000000000000000000
χ424444-4-44-4-44-4-400000004000-22002-2-2202-2000000000000000000000000
χ434444-4-4-444-400004-400000002200-2-2-2-2022000000000000000000000000
χ444444-4-4-444-400004-40000000-2-20022220-2-2000000000000000000000000
χ454444-4-4-444-40000-4400000002-200-22-2202-2000000000000000000000000
χ464444-4-4-444-40000-440000000-22002-22-20-22000000000000000000000000
χ4788-8-88-80000000000000000000000000000004i−4i00000000000000000000
χ4888-8-88-8000000000000000000000000000000−4i4i00000000000000000000
χ4988-8-8-880000008i−8i00000000000000000000000000000000000000000000
χ5088-8-8-88000000−8i8i00000000000000000000000000000000000000000000
χ518-88-800800-8000000000000000000000000000000004i−4i00000000000000
χ528-88-800800-800000000000000000000000000000000−4i4i00000000000000
χ538-88-800-80088-80000000000000000000000000000000000000000000000
χ548-88-800-8008-880000000000000000000000000000000000000000000000
χ558-8-880008-8000000000000000000000000000004-4000000000000000000
χ568-8-880008-800000000000000000000000000000-44000000000000000000
χ578-8-88000-8800000000000000004-40000000000000000000000000000000
χ588-8-88000-880000000000000000-440000000000000000000000000000000

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