Finite Group Databasebeta

← Group #28201

Character table — Group #28201

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size1111111122222222222244444444888888888888888888888888
order1222222244444444444444444444222244444444444488888888
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-1
χ611111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111
χ711111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111
χ811111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-1111111-1-1-1-1
χ91111111111-1-1-1-1111111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-111-1-1
χ101111111111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-111
χ111111111111-1-1-1-1111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111
χ121111111111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1-111-1-1111111-1-111-1-1
χ131111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ141111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-11111-1-1
χ151111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-11111-1-1
χ161111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-1-1-111
χ1722222222-2-222222222-2-2-2-2-2-2-2-222000000000000000000000000
χ1822222222-2-22222-2-2-2-2-2-2-2-22222-2-2000000000000000000000000
χ1922222222-2-2-2-2-2-22222-2-222-2-222-2-2000000000000000000000000
χ2022222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-222000000000000000000000000
χ21222-2-2-22-22-22i2i−2i−2i00002-22i−2i000000002-20000002i−2i000000000000
χ22222-2-2-22-22-22i2i−2i−2i00002-22i−2i00000000-22000000−2i2i000000000000
χ23222-2-2-22-22-2−2i−2i2i2i00002-2−2i2i000000002-2000000−2i2i000000000000
χ24222-2-2-22-22-2−2i−2i2i2i00002-2−2i2i00000000-220000002i−2i000000000000
χ25222-2-2-22-2-222i2i−2i−2i0000-22−2i2i0000002-20000002i−2i00000000000000
χ26222-2-2-22-2-222i2i−2i−2i0000-22−2i2i000000-22000000−2i2i00000000000000
χ27222-2-2-22-2-22−2i−2i2i2i0000-222i−2i0000002-2000000−2i2i00000000000000
χ28222-2-2-22-2-22−2i−2i2i2i0000-222i−2i000000-220000002i−2i00000000000000
χ2922-22-2-2-2222000022-2-2-2-2002-2000000002i−2i2i−2i0000000000000000
χ3022-22-2-2-2222000022-2-2-2-2002-200000000−2i2i−2i2i0000000000000000
χ3122-22-2-2-22220000-2-222-2-200-22000000002i−2i−2i2i0000000000000000
χ3222-22-2-2-22220000-2-222-2-200-2200000000−2i2i2i−2i0000000000000000
χ3322-22-2-2-22-2-2000022-2-22200-2200000000000000002-22-200000000
χ3422-22-2-2-22-2-2000022-2-22200-220000000000000000-22-2200000000
χ3522-22-2-2-22-2-20000-2-22222002-200000000000000002-2-2200000000
χ3622-22-2-2-22-2-20000-2-22222002-20000000000000000-222-200000000
χ372-2-2-22-222002-22-22-22-2000000002-200000000000000002−22−22−22−2
χ382-2-2-22-222002-22-22-22-2000000002-20000000000000000−22−22−22−22
χ392-2-2-22-222002-22-2-22-2200000000-2200000000000000002−22−2−22−22
χ402-2-2-22-222002-22-2-22-2200000000-220000000000000000−22−222−22−2
χ412-2-2-22-22200-22-222-22-200000000-2200000000000000002−2−222−2−22
χ422-2-2-22-22200-22-222-22-200000000-220000000000000000−222−2−222−2
χ432-2-2-22-22200-22-22-22-22000000002-200000000000000002−2−22−222−2
χ442-2-2-22-22200-22-22-22-22000000002-20000000000000000−222−22−2−22
χ4544-4-444-4-44-400000000-4400000000000000000000000000000000
χ4644-4-444-4-4-44000000004-400000000000000000000000000000000
χ474-4444-4-4-400000000000000004-400000000000000000000000000
χ484-4444-4-4-40000000000000000-4400000000000000000000000000
χ494-44-4-44-440000004-4-440000000000000000000000000000000000
χ504-44-4-44-44000000-444-40000000000000000000000000000000000
χ514-4-44-444-4004i−4i−4i4i00000000000000000000000000000000000000
χ524-4-44-444-400−4i4i4i−4i00000000000000000000000000000000000000

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