Finite Group Databasebeta

← Group #263200

Character table — Group #263200

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122222222224444444444888888888888888816161616161616161616161632323232
order12222244444444444444888822444488888888882224444444888888
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-11-1-111-1-1-1-1
χ311111111111111111111111111-1-1-1-111-1-1-1-11111-1111111-111-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-111-1-111-1-1-111-1-1
χ611111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-11-1-1111-11-1-1-1-111
χ711111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-11-111-1-1-11-111-1-111
χ811111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11-1-111-1-111111-1-1
χ91111111111111111-1-1-1-11111-1-11111111111-1-1-1-1-11-11-11-1-1-11-1-11-11-1
χ101111111111111111-1-1-1-11111-1-11111111111-1-1-1-1-1-11-11-11-11-1-1-1-11-11
χ111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-11-11-11-1111-11-11
χ121111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-11-11-11-1111-1111-11-1
χ131111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1111-1-11-1-1-1111-1-11
χ141111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-11111-111-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-111-1
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-1111-1-11-1-11
χ1722222222-2-2-222-2-2-222220000-2-222-2-200000000002000000-200000000
χ1822222222-2-2-222-2-2-222220000-2-2-2-2220000000000-2000000200000000
χ1922222222-2-2-222-2-2-2-2-2-2-200002222-2-20000000000-2000000200000000
χ2022222222-2-2-222-2-2-2-2-2-2-2000022-2-22200000000002000000-200000000
χ21222222-2-2222-2-22-2-222-2-222222-20000-2-2000022-2-20000000000000000
χ22222222-2-2222-2-22-2-222-2-2-2-2-2-22-20000220000-2-2220000000000000000
χ23222222-2-2222-2-22-2-2-2-2222222-220000-2-20000-2-2220000000000000000
χ24222222-2-2222-2-22-2-2-2-222-2-2-2-2-22000022000022-2-20000000000000000
χ25222222-2-2-2-2-2-2-2-22222-2-20000-220000002i2i−2i−2i000000000000002i−2i0000
χ26222222-2-2-2-2-2-2-2-22222-2-20000-22000000−2i−2i2i2i00000000000000−2i2i0000
χ27222222-2-2-2-2-2-2-2-222-2-22200002-20000002i2i−2i−2i00000000000000−2i2i0000
χ28222222-2-2-2-2-2-2-2-222-2-22200002-2000000−2i−2i2i2i000000000000002i−2i0000
χ292222-2-22-22-2-22-222-2000022-2-20000002-200000000002020-20-20000000
χ302222-2-22-22-2-22-222-2000022-2-20000002-20000000000-20-202020000000
χ312222-2-22-22-2-22-222-20000-2-222000000-22000000000020-20-2020000000
χ322222-2-22-22-2-22-222-20000-2-222000000-220000000000-202020-20000000
χ332222-2-2-222-2-2-222-22000022-2-2000000-2200000000020-202000-2000000
χ342222-2-2-222-2-2-222-22000022-2-2000000-22000000000-2020-20002000000
χ352222-2-2-222-2-2-222-220000-2-2220000002-200000000020-20-20002000000
χ362222-2-2-222-2-2-222-220000-2-2220000002-2000000000-20202000-2000000
χ374444-4-44-4-4444-4-4-440000000000000000000000000000000000000000
χ384444-4-4-44-444-44-44-40000000000000000000000000000000000000000
χ3944-4-44-444000-4-40000000000000000000000022−2222−220000000000000000
χ4044-4-44-444000-4-400000000000000000000000−2222−22220000000000000000
χ4144-4-44-4-4-4000440000000000000000000000022−22−22220000000000000000
χ4244-4-44-4-4-40004400000000000000000000000−222222−220000000000000000
χ4344-4-4-444-4000-440004i−4i4i−4i000000000000000000000000000000000000
χ4444-4-4-444-4000-44000−4i4i−4i4i000000000000000000000000000000000000
χ4544-4-4-44-440004-40004i−4i−4i4i000000000000000000000000000000000000
χ4644-4-4-44-440004-4000−4i4i4i−4i000000000000000000000000000000000000
χ474-4-44000040000-40000004i−4i00002-22-2002i−2i2i−2i00000000000000000000
χ484-4-44000040000-40000004i−4i0000-22-2200−2i2i−2i2i00000000000000000000
χ494-4-44000040000-4000000−4i4i00002-22-200−2i2i−2i2i00000000000000000000
χ504-4-44000040000-4000000−4i4i0000-22-22002i−2i2i−2i00000000000000000000
χ514-4-440000-400004000000004-4002-2-22002-2-2200000000000000000000
χ524-4-440000-400004000000004-400-222-200-222-200000000000000000000
χ534-4-440000-40000400000000-44002-2-2200-222-200000000000000000000
χ544-4-440000-40000400000000-4400-222-2002-2-2200000000000000000000
χ558-88-8000008i−8i000000000000000000000000000000000000000000000
χ568-88-800000−8i8i000000000000000000000000000000000000000000000

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