Finite Group Databasebeta

← Group #72263343

Character table — Group #72263343

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size1111222222444488888888161616161616161616161616161616161616161616163232323232323232323264646464
order1222222222222222222244222244444444444444444444444444444488
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-111-1-1
χ3111111111111111111111111-1-1111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111-1-111111111-1-1-1-111-1-1-1-111-1-11-1-1-1-1-1-1-111
χ51111111111111111111111-1-1111-1-1-1-11-1-11111111111111111-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-1111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111-1-111
χ71111111111111111111111-1-1-1-11-1-1-1-11-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111-1-1-1-11-1-1-1-11-1-1-1-1-1-111-1-1-1-111-1-11-1111111-1-1
χ91111111111-1-1-1-11-1-1111111-111-111-1-1-11-111-1-11111-1-11-11-1-1-111-1-11-11-1
χ101111111111-1-1-1-11-1-1111111-111-111-1-1-11-1-1-111-1-1-1-111-111-11-1-1-1111-1-11
χ111111111111-1-1-1-11-1-1111111-1-1-1-111-1-1-11-111-1-1-1-111-1-1-11-111111-1-1-11-11
χ121111111111-1-1-1-11-1-1111111-1-1-1-111-1-1-11-1-1-11111-1-1111-1-11-11-1-111-111-1
χ131111111111-1-1-1-11-1-111111-1111-1-1-111-1-1111-1-11111-1-11-11-1-1-1-1-111-11-11
χ141111111111-1-1-1-11-1-111111-1111-1-1-111-1-11-1-111-1-1-1-111-111-11-111-1-1-111-1
χ151111111111-1-1-1-11-1-111111-11-1-1-1-1-111-1-1111-1-1-1-111-1-1-11-1111-1-1111-11-1
χ161111111111-1-1-1-11-1-111111-11-1-1-1-1-111-1-11-1-11111-1-1111-1-11-1111-1-11-1-11
χ1722222222222222222-2-22-2-20000-20000-200222200-2-2-2-200000000000000
χ1822222222222222222-2-22-2-20000-20000-200-2-2-2-200222200000000000000
χ19222222222222-2-2-22-222-2-2-2002220000-200000000000000-2-20200000000
χ20222222222222-2-2-22-222-2-2-200-2-220000-200000000000000220-200000000
χ21222222222222-2-2-22-2-2-2-2220000-200002000000220000-2-2002000000000
χ22222222222222-2-2-22-2-2-2-2220000-200002000000-2-200002200-2000000000
χ232222222222-2-222-2-2222-2-2-20022-20000200000000000000-220-200000000
χ242222222222-2-222-2-2222-2-2-200-2-2-200002000000000000002-20200000000
χ252222222222-2-222-2-22-2-2-222000020000-2000000220000-2200-2000000000
χ262222222222-2-222-2-22-2-2-222000020000-2000000-2-200002-2002000000000
χ272222222222-2-2-2-22-2-2-2-22-2-200002000020022-2-200-2-22200000000000000
χ282222222222-2-2-2-22-2-2-2-22-2-2000020000200-2-2220022-2-200000000000000
χ2922222-22-2-2-200002002-2-22-202000002-200-2002i−2i00002i−2i0000002i−2i000000
χ3022222-22-2-2-200002002-2-22-202000002-200-200−2i2i0000−2i2i000000−2i2i000000
χ3122222-22-2-2-200002002-2-22-20-200000-22002002i−2i00002i−2i000000−2i2i000000
χ3222222-22-2-2-200002002-2-22-20-200000-2200200−2i2i0000−2i2i0000002i−2i000000
χ3322222-22-2-2-20000200-22-2-22200002-2000-20002i−2i0000−2i2i000000002i−2i0000
χ3422222-22-2-2-20000200-22-2-22200002-2000-2000−2i2i00002i−2i00000000−2i2i0000
χ3522222-22-2-2-20000200-22-2-22-20000-2200020002i−2i0000−2i2i00000000−2i2i0000
χ3622222-22-2-2-20000200-22-2-22-20000-220002000−2i2i00002i−2i000000002i−2i0000
χ3744444-44-4-4-40000-4004-44-44000000000000000000000000000000000000
χ3844444-44-4-4-40000-400-4444-4000000000000000000000000000000000000
χ394444-44-4-4-4444000-400000022000-22-220-2-2000000000000000000000000
χ404444-44-4-4-4444000-4000000-2-20002-22-2022000000000000000000000000
χ414444-44-4-4-44-4-400040000002-2000-222-20-22000000000000000000000000
χ424444-44-4-4-44-4-40004000000-220002-2-2202-2000000000000000000000000
χ434444-4-4-444-4004400-40000022000-2-2-2-2022000000000000000000000000
χ444444-4-4-444-4004400-400000-2-200022220-2-2000000000000000000000000
χ454444-4-4-444-400-4-4004000002-2000-2-22202-2000000000000000000000000
χ464444-4-4-444-400-4-400400000-2200022-2-20-22000000000000000000000000
χ4788-8-808000-80000000000000000000000000000004i−4i0000000000000000
χ4888-8-808000-8000000000000000000000000000000−4i4i0000000000000000
χ4988-8-80-800088-80000000000000000000000000000000000000000000000
χ5088-8-80-80008-880000000000000000000000000000000000000000000000
χ518-88-880-800000000000000000000000000000004i−4i000000000000000000
χ528-88-880-80000000000000000000000000000000−4i4i000000000000000000
χ538-88-8-808000000000000000004-400000000000000000000000000000000
χ548-88-8-80800000000000000000-4400000000000000000000000000000000
χ558-8-880008-800000000000000000000000004-40000000000000000000000
χ568-8-880008-80000000000000000000000000-440000000000000000000000
χ578-8-88000-880008-800000000000000000000000000000000000000000000
χ588-8-88000-88000-8800000000000000000000000000000000000000000000

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