Finite Group Databasebeta

← Group #72262628

Character table — Group #72262628

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size1111222222444488888888161616161616161616161616161616161616161616163232323232323232323264646464
order1222222222222222224444222444444444444444444424444444448888
χ11111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-1-1-111
χ511111111111111111111111-1-11-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1
χ611111111111111111111111-1-11-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111-1-11111-1-111
χ811111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111111111-1-1
χ91111111111-1-1-1-11-1-111111-11-1-111-1-11-111-1-11111-1-111-1-11-11-111-1-11-11-1
χ101111111111-1-1-1-11-1-111111-11-1-111-1-11-111-1-1-1-111-1-1-1-111-11-1111-1-1-11-11
χ111111111111-1-1-1-11-1-111111-11-1-111-1-11-1-1-11111-1-111-1-11-11-1-11-1-1111-1-11
χ121111111111-1-1-1-11-1-111111-11-1-111-1-11-1-1-111-1-1-1-11111-11-111-1-1-111-111-1
χ131111111111-1-1-1-11-1-111111-1-11-1-1-111-1111-1-11111-1-111-1-11-11-1-1-111-11-11
χ141111111111-1-1-1-11-1-111111-1-11-1-1-111-1111-1-1-1-111-1-1-1-111-11-11-1-1111-11-1
χ151111111111-1-1-1-11-1-111111-1-11-1-1-111-11-1-11111-1-111-1-11-11-1-1111-1-1-111-1
χ161111111111-1-1-1-11-1-111111-1-11-1-1-111-11-1-111-1-1-1-11111-11-111-111-1-11-1-11
χ17222222222222222222-2-2-2-2-200-2000000222200-2-2-2-20000000000000000
χ18222222222222222222-2-2-2-2-200-2000000-2-2-2-20022220000000000000000
χ19222222222222-2-2-22-2-222-2-2200-20000000000000000222000-2-200000000
χ20222222222222-2-2-22-2-222-2-2200-20000000000000000-2-2-20002200000000
χ21222222222222-2-2-22-2-2-2-222-20020000000000220000000-2-220000000000
χ22222222222222-2-2-22-2-2-2-222-20020000000000-2-2000000022-20000000000
χ232222222222-2-222-2-22-222-2-2-2002000000000000000022-2000-2200000000
χ242222222222-2-222-2-22-222-2-2-20020000000000000000-2-220002-200000000
χ252222222222-2-222-2-22-2-2-222200-200000000002200000002-2-20000000000
χ262222222222-2-222-2-22-2-2-222200-20000000000-2-20000000-2220000000000
χ272222222222-2-2-2-22-2-22-2-2-2-2200200000022-2-200-2-2220000000000000000
χ282222222222-2-2-2-22-2-22-2-2-2-22002000000-2-2220022-2-20000000000000000
χ2922222-22-2-2-20000200-22-22-20020002-20-2002i−2i00002i−2i000000002i−2i000000
χ3022222-22-2-2-20000200-22-22-20020002-20-200−2i2i0000−2i2i00000000−2i2i000000
χ3122222-22-2-2-20000200-22-22-200-2000-2202002i−2i00002i−2i00000000−2i2i000000
χ3222222-22-2-2-20000200-22-22-200-2000-220200−2i2i0000−2i2i000000002i−2i000000
χ3322222-22-2-2-20000200-2-22-2202002-200-20002i−2i0000−2i2i00000000002i−2i0000
χ3422222-22-2-2-20000200-2-22-2202002-200-2000−2i2i00002i−2i0000000000−2i2i0000
χ3522222-22-2-2-20000200-2-22-220-200-220020002i−2i0000−2i2i0000000000−2i2i0000
χ3622222-22-2-2-20000200-2-22-220-200-22002000−2i2i00002i−2i00000000002i−2i0000
χ3744444-44-4-4-40000-40044-4-44000000000000000000000000000000000000
χ3844444-44-4-4-40000-4004-444-4000000000000000000000000000000000000
χ394444-44-4-4-4444000-40000000220-22-22-2-200000000000000000000000000
χ404444-44-4-4-4444000-40000000-2-202-22-22200000000000000000000000000
χ414444-44-4-4-44-4-4000400000002-20-222-2-2200000000000000000000000000
χ424444-44-4-4-44-4-400040000000-2202-2-222-200000000000000000000000000
χ434444-4-4-444-4004400-4000000220-2-2-2-22200000000000000000000000000
χ444444-4-4-444-4004400-4000000-2-202222-2-200000000000000000000000000
χ454444-4-4-444-400-4-40040000002-20-2-2222-200000000000000000000000000
χ464444-4-4-444-400-4-4004000000-22022-2-2-2200000000000000000000000000
χ4788-8-808000-800000000000000000000000000004i−4i000000000000000000
χ4888-8-808000-80000000000000000000000000000−4i4i000000000000000000
χ4988-8-80-800088-80000000000000000000000000000000000000000000000
χ5088-8-80-80008-880000000000000000000000000000000000000000000000
χ518-88-880-8000000000000000000000000000004i−4i00000000000000000000
χ528-88-880-800000000000000000000000000000−4i4i00000000000000000000
χ538-88-8-808000000000000000000000000000000000004-400000000000000
χ548-88-8-80800000000000000000000000000000000000-4400000000000000
χ558-8-880008-8000000000000000000000004-4000000000000000000000000
χ568-8-880008-800000000000000000000000-44000000000000000000000000
χ578-8-88000-880008-800000000000000000000000000000000000000000000
χ588-8-88000-88000-8800000000000000000000000000000000000000000000

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