Finite Group Databasebeta

← Group #72262853

Character table — Group #72262853

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size111122222288888888881616161616161616161616161616161616161616161616161616323232323232323264646464
order1222222222222222444422222244444444444444444444444488884444
χ11111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-11111111111-1-111-1-1-1-1-1-11-1-1-1-1-1-1-111-1-1
χ31111111111111111111111-1-11111111111-1-111-1-1-1-111-1-1-11-1-1-1-1-1-1-1-111
χ41111111111111111111111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1
χ511111111111111111111-1-11111-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ611111111111111111111-1-111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-11-1-1-11111-1-111
χ711111111111111111111-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-111-1-1-11-1-1111111-1-1
χ811111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111
χ91111111111-1-111111-1-111-111111-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11-11-1
χ101111111111-1-111111-1-111-111-1-11-1-1-111-1-111-1-1-1-1111111-11-1-1-1-1111-1-11
χ111111111111-1-111111-1-111-1-1-1111-1-1-111-1-1-1-1111111-1-1111-1-1-1-1-111-111-1
χ121111111111-1-111111-1-111-1-1-1-1-11-1-1-111-1-1-1-1-1-111-1-111-1-1111111-1-1-11-11
χ131111111111-1-111111-1-11-111111-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111-11-11
χ141111111111-1-111111-1-11-1111-1-1-11-1-1-1-11111-1-1-1-1111111-11-1-111-1-1-111-1
χ151111111111-1-111111-1-11-11-1-111-11-1-1-1-111-1-1111111-1-1111-1-1-111-1-11-1-11
χ161111111111-1-111111-1-11-11-1-1-1-1-11-1-1-1-111-1-1-1-111-1-111-1-11111-1-1111-11-1
χ1722222222222222-2-2-2-2-2-2000022002-2000000-2-20000-2-200020000000000
χ1822222222222222-2-2-2-2-2-20000-2-2002-200000022000022000-20000000000
χ19222222222222-2-222-2-2-2-200220000-220000-2-20022000000-200000000000
χ20222222222222-2-222-2-2-2-200-2-20000-2200002200-2-2000000200000000000
χ21222222222222-2-2-2-2222200000000-2-200000000002200-2-2002-200000000
χ22222222222222-2-2-2-2222200000000-2-20000000000-2-2002200-2200000000
χ232222222222-2-222-2-2-222-200002200-22000000-2-2000022000-20000000000
χ242222222222-2-222-2-2-222-20000-2-200-22000000220000-2-200020000000000
χ252222222222-2-2-2-222-222-2002200002-20000-2-200-2-2000000200000000000
χ262222222222-2-2-2-222-222-200-2-200002-20000220022000000-200000000000
χ272222222222-2-2-2-2-2-22-2-22000000002200000000002200-2-200-2200000000
χ282222222222-2-2-2-2-2-22-2-2200000000220000000000-2-20022002-200000000
χ29222222-2-2-2-2002-22-2200-20200000-200002-20000002i−2i002i−2i00002i−2i000000
χ30222222-2-2-2-2002-22-2200-20200000-200002-2000000−2i2i00−2i2i0000−2i2i000000
χ31222222-2-2-2-2002-22-2200-20-20000020000-220000002i−2i002i−2i0000−2i2i000000
χ32222222-2-2-2-2002-22-2200-20-20000020000-22000000−2i2i00−2i2i00002i−2i000000
χ33222222-2-2-2-200-22-22200-2200000-20002-2000000002i−2i00−2i2i0000002i−2i0000
χ34222222-2-2-2-200-22-22200-2200000-20002-200000000−2i2i002i−2i000000−2i2i0000
χ35222222-2-2-2-200-22-22200-2-2000002000-22000000002i−2i00−2i2i000000−2i2i0000
χ36222222-2-2-2-200-22-22200-2-2000002000-2200000000−2i2i002i−2i0000002i−2i0000
χ37444444-4-4-4-4004-4-44-400400000000000000000000000000000000000000
χ38444444-4-4-4-400-444-4-400400000000000000000000000000000000000000
χ394444-4-44-4-4400000004-402200002200-2-2-2-2000000000000000000000000
χ404444-4-44-4-4400000004-40-2-20000-2-2002222000000000000000000000000
χ414444-4-44-4-440000000-4402-200002-200-2-222000000000000000000000000
χ424444-4-44-4-440000000-440-220000-220022-2-2000000000000000000000000
χ434444-4-4-444-44-400000000220000-2-200-22-22000000000000000000000000
χ444444-4-4-444-44-400000000-2-2000022002-22-2000000000000000000000000
χ454444-4-4-444-4-44000000002-20000-2200-222-2000000000000000000000000
χ464444-4-4-444-4-4400000000-2200002-2002-2-22000000000000000000000000
χ4788-8-800800-8000000000000000000000000000000004i−4i00000000000000
χ4888-8-800800-800000000000000000000000000000000−4i4i00000000000000
χ4988-8-800-80080000000000004-40000000000000000000000000000000000
χ5088-8-800-8008000000000000-440000000000000000000000000000000000
χ518-88-80008-8000000000000000000000000000004-4000000000000000000
χ528-88-80008-800000000000000000000000000000-44000000000000000000
χ538-88-8000-880000000000000004-400000000000000000000000000000000
χ548-88-8000-88000000000000000-4400000000000000000000000000000000
χ558-8-888-80000000000000000000000000000004-400000000000000000000
χ568-8-888-8000000000000000000000000000000-4400000000000000000000
χ578-8-88-8800000000000000000000000000004-40000000000000000000000
χ588-8-88-880000000000000000000000000000-440000000000000000000000

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