Finite Group Databasebeta

← Group #263201

Character table — Group #263201

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
χ91111111111111111-1-1-1-11111-1-11111111111-1-1-1-1-1111-11-1-1-1-1-1-11-11-1
χ101111111111111111-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-11-11-111-1-1-11-11
χ111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-11-11-1-111-11-11
χ121111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-11-11111111-11-1
χ131111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-11-11-1-11-1-11111-1-11
χ141111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11-111-1-11-111-111-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-11-1-111-11-1-1-111-1
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-111-111-1-1-11-1-11
χ17222222222-2-2-2-22-2-222-2-222222-20000-2-2000022-2-20000000000000000
χ18222222222-2-2-2-22-2-222-2-2-2-2-2-22-20000220000-2-2220000000000000000
χ19222222222-2-2-2-22-2-2-2-2222222-220000-2-20000-2-2220000000000000000
χ20222222222-2-2-2-22-2-2-2-222-2-2-2-2-22000022000022-2-20000000000000000
χ21222222-2-2-22222-2-2-222220000-2-222-2-200000000002000000-200000000
χ22222222-2-2-22222-2-2-222220000-2-2-2-2220000000000-2000000200000000
χ23222222-2-2-22222-2-2-2-2-2-2-200002222-2-20000000000-2000000200000000
χ24222222-2-2-22222-2-2-2-2-2-2-2000022-2-22200000000002000000-200000000
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
χ292222-2-22-2-222-2-222-2000022-2-20000002-20000000000002020-2-2000000
χ302222-2-22-2-222-2-222-2000022-2-20000002-2000000000000-20-2022000000
χ312222-2-22-2-222-2-222-20000-2-222000000-2200000000000020-20-22000000
χ322222-2-22-2-222-2-222-20000-2-222000000-22000000000000-20202-2000000
χ332222-2-22-2-2-2-2222-22000022-2-2000000-2200000000022-20-20000000000
χ342222-2-22-2-2-2-2222-22000022-2-2000000-22000000000-2-22020000000000
χ352222-2-22-2-2-2-2222-220000-2-2220000002-20000000002-2-2020000000000
χ362222-2-22-2-2-2-2222-220000-2-2220000002-2000000000-2220-20000000000
χ374444-4-4-44444-4-4-4-440000000000000000000000000000000000000000
χ384444-4-4-444-4-444-44-40000000000000000000000000000000000000000
χ3944-4-44-40004-44-4000000000000000000000002i2−2i22i2−2i20000000000000000
χ4044-4-44-40004-44-400000000000000000000000−2i22i2−2i22i20000000000000000
χ4144-4-44-4000-44-44000000000000000000000002i2−2i2−2i22i20000000000000000
χ4244-4-44-4000-44-4400000000000000000000000−2i22i22i2−2i20000000000000000
χ4344-4-4-440004-4-440004i−4i4i−4i000000000000000000000000000000000000
χ4444-4-4-440004-4-44000−4i4i−4i4i000000000000000000000000000000000000
χ4544-4-4-44000-444-40004i−4i−4i4i000000000000000000000000000000000000
χ4644-4-4-44000-444-4000−4i4i4i−4i000000000000000000000000000000000000
χ474-4-44004000000-4000000004i−4i002-22-2002i−2i2i−2i00000000000000000000
χ484-4-44004000000-4000000004i−4i00-22-2200−2i2i−2i2i00000000000000000000
χ494-4-44004000000-400000000−4i4i002-22-200−2i2i−2i2i00000000000000000000
χ504-4-44004000000-400000000−4i4i00-22-22002i−2i2i−2i00000000000000000000
χ514-4-4400-400000040000004-400002-2-22002-2-2200000000000000000000
χ524-4-4400-400000040000004-40000-222-200-222-200000000000000000000
χ534-4-4400-40000004000000-4400002-2-2200-222-200000000000000000000
χ544-4-4400-40000004000000-440000-222-2002-2-2200000000000000000000
χ558-88-80008i−8i00000000000000000000000000000000000000000000000
χ568-88-8000−8i8i00000000000000000000000000000000000000000000000

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