Finite Group Databasebeta

← Group #72262609

Character table — Group #72262609

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size1111222222444488888888161616161616161616161616161616161616161616163232323232323232323264646464
order1222222222444422224444222444444444444444444424444488884488
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1-111-1-1
χ311111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-11-11-1-1-1-1-1-111
χ511111111111111111111111-1-11-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1
χ611111111111111111111111-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-11-11111-1-111
χ711111111111111111111111-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ811111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-11111111-1-1
χ91111111111-1-111-1-1111-111-11-1-1111-1-1-1111111-1-1-1-111-1-11-1-1111-1-11-11-1
χ101111111111-1-111-1-1111-111-11-1-1111-1-1-111-1-1-1-11111-1-11-111-1-1-1-1111-1-11
χ111111111111-1-111-1-1111-111-11-1-1111-1-1-1-1-11111-1-1-1-1-1-111-111-111-1-1-11-11
χ121111111111-1-111-1-1111-111-11-1-1111-1-1-1-1-1-1-1-1-1111111-11-1-111-1-111-111-1
χ131111111111-1-111-1-1111-111-1-11-1-1-1-1111111111-1-1-1-111-1-11-1-11-1-111-11-11
χ141111111111-1-111-1-1111-111-1-11-1-1-1-111111-1-1-1-11111-1-11-111-1-111-1-1-111-1
χ151111111111-1-111-1-1111-111-1-11-1-1-1-1111-1-11111-1-1-1-1-1-111-111-1-1-1111-11-1
χ161111111111-1-111-1-1111-111-1-11-1-1-1-1111-1-1-1-1-1-1111111-11-1-11111-1-11-1-11
χ172222222222222222-2-222-2-2-200-20000000022-2-222-2-20000000000000000
χ182222222222222222-2-222-2-2-200-200000000-2-222-2-2220000000000000000
χ19222222222222-2-2-2-222-22-2-2200-200000022000000000002-20-2000000000
χ20222222222222-2-2-2-222-22-2-2200-2000000-2-200000000000-2202000000000
χ21222222222222-2-2-2-2-2-2-2222-2002000000000000000022-20020-200000000
χ22222222222222-2-2-2-2-2-2-2222-20020000000000000000-2-2200-20200000000
χ232222222222-2-222-2-2-2-22-2-2-220020000000022-2-2-2-2220000000000000000
χ242222222222-2-222-2-2-2-22-2-2-2200200000000-2-22222-2-20000000000000000
χ252222222222-2-2-2-22222-2-2-2-2-20020000002200000000000-2-202000000000
χ262222222222-2-2-2-22222-2-2-2-2-2002000000-2-200000000000220-2000000000
χ272222222222-2-2-2-222-2-2-2-222200-2000000000000000022200-20-200000000
χ282222222222-2-2-2-222-2-2-2-222200-20000000000000000-2-2-20020200000000
χ2922222-2-22-2-200-2-2002-2202-200200002-2-2002i−2i2i−2i000000000000002i−2i0000
χ3022222-2-22-2-200-2-2002-2202-200200002-2-200−2i2i−2i2i00000000000000−2i2i0000
χ3122222-2-22-2-200-2-2002-2202-200-20000-222002i−2i2i−2i00000000000000−2i2i0000
χ3222222-2-22-2-200-2-2002-2202-200-20000-22200−2i2i−2i2i000000000000002i−2i0000
χ3322222-2-22-2-200-2-200-2220-2202002-2-2000002i−2i−2i2i0000000000002i−2i000000
χ3422222-2-22-2-200-2-200-2220-2202002-2-200000−2i2i2i−2i000000000000−2i2i000000
χ3522222-2-22-2-200-2-200-2220-220-200-222000002i−2i−2i2i000000000000−2i2i000000
χ3622222-2-22-2-200-2-200-2220-220-200-22200000−2i2i2i−2i0000000000002i−2i000000
χ3744444-4-44-4-40044004-4-40-44000000000000000000000000000000000000
χ3844444-4-44-4-4004400-44-404-4000000000000000000000000000000000000
χ394444-44-4-44-400004-40000000220-22-2-22-200000000000000000000000000
χ404444-44-4-44-400004-40000000-2-202-222-2200000000000000000000000000
χ414444-44-4-44-40000-4400000002-20-22-22-2200000000000000000000000000
χ424444-44-4-44-40000-440000000-2202-22-22-200000000000000000000000000
χ434444-4-44-4-44440000000-4000220-2-22-2-2200000000000000000000000000
χ444444-4-44-4-44440000000-4000-2-2022-222-200000000000000000000000000
χ454444-4-44-4-44-4-4000000040002-20-2-2222-200000000000000000000000000
χ464444-4-44-4-44-4-400000004000-22022-2-2-2200000000000000000000000000
χ4788-8-800800-80000000000000000000000000000004i−4i0000000000000000
χ4888-8-800800-8000000000000000000000000000000−4i4i0000000000000000
χ4988-8-800-80088-80000000000000000000000000000000000000000000000
χ5088-8-800-8008-880000000000000000000000000000000000000000000000
χ518-88-80800-8000000000000000000000004i−4i000000000000000000000000
χ528-88-80800-800000000000000000000000−4i4i000000000000000000000000
χ538-88-80-80080000000000000000000000000000000004-400000000000000
χ548-88-80-8008000000000000000000000000000000000-4400000000000000
χ558-8-88800-800008i−8i00000000000000000000000000000000000000000000
χ568-8-88800-80000−8i8i00000000000000000000000000000000000000000000
χ578-8-88-80080000000000000000000000000000004-4000000000000000000
χ588-8-88-8008000000000000000000000000000000-44000000000000000000

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