Finite Group Databasebeta

← Group #72314269

Character table — Group #72314269

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11112244444488888888888816161616161616161616161616161616161616163232323232323232323264646464
order1222222222222222224444442222244444444444444444444444444488
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1
χ4111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111
χ511111111111111-1-1111111-1-111-1-11-1-111-1-11111-1-1-1-11-1-11111-1-1-1-111-1-1
χ611111111111111-1-1111111-1-111-1-11-1-111-1-11111-1-1-1-11-1-1-1-1-1-11111-1-111
χ711111111111111-1-1111111-1-1-1-1111-1-1-1-111-1-1-1-111111-1-11111-1-1-1-1-1-111
χ811111111111111-1-1111111-1-1-1-1111-1-1-1-111-1-1-1-111111-1-1-1-1-1-1111111-1-1
χ9111111111111-1-111-1-11111111111-1111111-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−ii−ii−i
χ10111111111111-1-111-1-11111111111-1111111-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii−ii−ii
χ11111111111111-1-111-1-1111111-1-1-1-1-111-1-1-1-111111111-1-1-1ii−i−iii−i−i−ii−ii
χ12111111111111-1-111-1-1111111-1-1-1-1-111-1-1-1-111111111-1-1-1−i−iii−i−iiii−ii−i
χ13111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-111-1-1-1-1-1-11111-111ii−i−i−i−iiii−i−ii
χ14111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-111-1-1-1-1-1-11111-111−i−iiiii−i−i−iii−i
χ15111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1111111-1-1-1-1-111ii−i−i−i−iii−iii−i
χ16111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1111111-1-1-1-1-111−i−iiiii−i−ii−i−ii
χ17222222222222222222-2-2-2-2220000-2-2-2000000000000-22-2000000000000
χ1822222222222222-2-222-2-2-2-2-2-20000-222000000000000-2-22000000000000
χ19222222222222-2-222-2-2-2-2-2-22200002-2-20000000000002-22000000000000
χ20222222222222-2-2-2-2-2-2-2-2-2-2-2-2000022200000000000022-2000000000000
χ21222222-2-2-2-2222-2002-222-2-200002-2200002-2000022-2-2-200000000000000
χ22222222-2-2-2-2222-2002-222-2-20000-2220000-220000-2-222-200000000000000
χ23222222-2-2-2-2222-2002-2-2-222002-200-2002-20022-2-20000200000000000000
χ24222222-2-2-2-2222-2002-2-2-22200-2200-200-2200-2-2220000200000000000000
χ25222222-2-2-2-222-2200-2222-2-200002-2-200002-20000-2-222200000000000000
χ26222222-2-2-2-222-2200-2222-2-20000-22-20000-22000022-2-2200000000000000
χ27222222-2-2-2-222-2200-22-2-222002-2002002-200-2-2220000-200000000000000
χ28222222-2-2-2-222-2200-22-2-22200-2200200-220022-2-20000-200000000000000
χ2944444444-4-4-4-4000000000000000004-4000000000000000000000000000
χ3044444444-4-4-4-400000000000000000-44000000000000000000000000000
χ31444444-4-444-4-40044000000-4-40000000000000000000000000000000000
χ32444444-4-444-4-400-4-4000000440000000000000000000000000000000000
χ334444-4-400004-4000000004-40004000000-40000000000000000000000000
χ344444-4-400004-4000000004-4000-400000040000000000000000000000000
χ354444-4-400004-400000000-44004000000-400000000000000000000000000
χ364444-4-400004-400000000-4400-4000000400000000000000000000000000
χ374444-4-40000-440000004-400000004000000-400000000000000000000000
χ384444-4-40000-440000004-40000000-4000000400000000000000000000000
χ394444-4-40000-44000000-440000004000000-4000000000000000000000000
χ404444-4-40000-44000000-44000000-40000004000000000000000000000000
χ414-4-44-44004-40000000000004-4000000000002-22-22-22-2000000000000000
χ424-4-44-44004-40000000000004-400000000000-22-22-22-22000000000000000
χ434-4-44-44004-4000000000000-44000000000002-22-2-22-22000000000000000
χ444-4-44-44004-4000000000000-4400000000000-22-222-22-2000000000000000
χ454-4-44-4400-4400004-400000000000000000002-2-222-2-22000000000000000
χ464-4-44-4400-4400004-40000000000000000000-222-2-222-2000000000000000
χ474-4-44-4400-440000-4400000000000000000002-2-22-222-2000000000000000
χ484-4-44-4400-440000-440000000000000000000-222-22-2-22000000000000000
χ4988-8-80000000004000-400000000000000000000000000002i−2i2i−2i00000000
χ5088-8-80000000004000-40000000000000000000000000000−2i2i−2i2i00000000
χ5188-8-8000000000-4000400000000000000000000000000002-2-2200000000
χ5288-8-8000000000-400040000000000000000000000000000-222-200000000
χ538-88-8000000004000-40000000000000000000000000000000002i−2i2i−2i0000
χ548-88-8000000004000-4000000000000000000000000000000000−2i2i−2i2i0000
χ558-88-800000000-400040000000000000000000000000000000002-2-220000
χ568-88-800000000-40004000000000000000000000000000000000-222-20000
χ578-8-888-88-800000000000000000000000000000000000000000000000000
χ588-8-888-8-8800000000000000000000000000000000000000000000000000

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