Finite Group Databasebeta

← Group #72262803

Character table — Group #72262803

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size111122222288888888881616161616161616161616161616161616161616161616161616323232323232323264646464
order1222222222222222444422222224444444444444444444444444448888
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111-1-1
χ311111111111111111111111-1-1111111111-1-1-1-11111-1-1-1-1-11-1-1-1-1-1-1-1-111
χ411111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1
χ5111111111111111111111-1-111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111-1-111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-11111-1-111
χ7111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-1111111-1-1
χ8111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111
χ911111111111-1-1-1-111111-11-11111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-11-1
χ1011111111111-1-1-1-111111-11-111-1-1-1111-1-1-1-1-1-1-1111111111-1-1-1-1-1111-1-11
χ1111111111111-1-1-1-111111-11-1-1-111-1111-1-1-11111-1-1-1-11111-11-1-1-1-111-111-1
χ1211111111111-1-1-1-111111-11-1-1-1-1-1-1111-1-1-111111111-1-1-1-1-1-11111-1-1-11-11
χ1311111111111-1-1-1-111111-1-111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-11-11
χ1411111111111-1-1-1-111111-1-1111-1-1-1-1-1-1111-1-1-1-1111111111-1-1-111-1-1-111-1
χ1511111111111-1-1-1-111111-1-11-1-111-1-1-1-11111111-1-1-1-11111-11-1-111-1-11-1-11
χ1611111111111-1-1-1-111111-1-11-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-111-1-1111-11-1
χ172222222222222222-2-2-2-2-2000000-20000000000000022-2-2002-200000000
χ182222222222222222-2-2-2-2-2000000-200000000000000-2-22200-2200000000
χ1922222222222-2-2-2-22-2-2-2-2200000020000000000000022-2-200-2200000000
χ2022222222222-2-2-2-22-2-2-2-22000000200000000000000-2-222002-200000000
χ212222222222-222-2-2-222-2-22000022-2000000000022-2-200000-20000000000
χ222222222222-222-2-2-222-2-220000-2-2-20000000000-2-2220000020000000000
χ232222222222-222-2-2-2-2-222-2002200200000022-2-200000000-200000000000
χ242222222222-222-2-2-2-2-222-200-2-2002000000-2-22200000000200000000000
χ252222222222-2-2-222-222-2-2-200002220000000000-2-22200000-20000000000
χ262222222222-2-2-222-222-2-2-20000-2-22000000000022-2-20000020000000000
χ272222222222-2-2-222-2-2-2222002200-2000000-2-22200000000-200000000000
χ282222222222-2-2-222-2-2-222200-2-200-200000022-2-200000000200000000000
χ29222222-2-2-2-220000-22-22-2002000000002-2-2000000002i−2i2i−2i00002i−2i000000
χ30222222-2-2-2-220000-22-22-2002000000002-2-200000000−2i2i−2i2i0000−2i2i000000
χ31222222-2-2-2-220000-22-22-200-200000000-222000000002i−2i2i−2i0000−2i2i000000
χ32222222-2-2-2-220000-22-22-200-200000000-22200000000−2i2i−2i2i00002i−2i000000
χ33222222-2-2-2-220000-2-22-22020000002-2-2000000000002i−2i−2i2i0000002i−2i0000
χ34222222-2-2-2-220000-2-22-22020000002-2-200000000000−2i2i2i−2i000000−2i2i0000
χ35222222-2-2-2-220000-2-22-220-2000000-222000000000002i−2i−2i2i000000−2i2i0000
χ36222222-2-2-2-220000-2-22-220-2000000-22200000000000−2i2i2i−2i0000002i−2i0000
χ37444444-4-4-4-4-4000044-4-4400000000000000000000000000000000000000
χ38444444-4-4-4-4-400004-444-400000000000000000000000000000000000000
χ394444-4-444-4-40004-40000002200000-22-2-22-2000000000000000000000000
χ404444-4-444-4-40004-4000000-2-2000002-222-22000000000000000000000000
χ414444-4-444-4-4000-440000002-200000-22-22-22000000000000000000000000
χ424444-4-444-4-4000-44000000-22000002-22-22-2000000000000000000000000
χ434444-4-4-4-44404-4000000002200000-2-22-2-22000000000000000000000000
χ444444-4-4-4-44404-400000000-2-20000022-222-2000000000000000000000000
χ454444-4-4-4-4440-44000000002-200000-2-2222-2000000000000000000000000
χ464444-4-4-4-4440-4400000000-220000022-2-2-22000000000000000000000000
χ4788-8-800008-8000000000000000000000000004-400000000000000000000
χ4888-8-800008-800000000000000000000000000-4400000000000000000000
χ4988-8-80000-880000000000000004-40000000000000000000000000000000
χ5088-8-80000-88000000000000000-440000000000000000000000000000000
χ518-88-8008-80000000000000000000000000000004-4000000000000000000
χ528-88-8008-8000000000000000000000000000000-44000000000000000000
χ538-88-800-880000000000000004-4000000000000000000000000000000000
χ548-88-800-88000000000000000-44000000000000000000000000000000000
χ558-8-888-800000000000000000000000000000000004-40000000000000000
χ568-8-888-80000000000000000000000000000000000-440000000000000000
χ578-8-88-8800000000000000000000000000004-40000000000000000000000
χ588-8-88-880000000000000000000000000000-440000000000000000000000

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