Finite Group Databasebeta

← Group #23596

Character table — Group #23596

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size1111111122222222222244444444888888888888888888888888
order1222444422222244444444444444222444444444444444444444
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-11-1-1-1-1111-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-11-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-11111-1-1-1-11111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111111111111-1-1-1-1
χ91111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-11-1-11-1-111-111-1-111-1-111-1-1
χ101111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11-111-1-1-111-1-1111-1-1-1-111-1-111
χ111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-111-1111-1-1-1-11-1-11111-1-1-1-111
χ121111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-11111-1-1-111-1-11111-1-1
χ131111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-11-1-11-1-111-1-1-111-1-111-1-111
χ141111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111-111-1-1-111-1-11-1-11111-1-111-1-1
χ151111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-111-1111-1-1-1-1111-1-1-1-11111-1-1
χ161111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-11111-111-1-111-1-1-1-111
χ172222222222-2-2-2-222-2-2-2-2000000000020000002-2-2000000000000
χ182222222222-2-2-2-222-2-2-2-20000000000-2000000-222000000000000
χ1922222222-2-222-2-2-2-222-2-200000000020000-22-2000000000000000
χ2022222222-2-222-2-2-2-222-2-2000000000-200002-22000000000000000
χ2122222222-2-2-2-222-2-2-2-22200000000200-22-2000000000000000000
χ2222222222-2-2-2-222-2-2-2-22200000000-2002-22000000000000000000
χ232222-2-2-2-222-2-2-2-2-2-2222200000000002000000-22-2000000000000
χ242222-2-2-2-222-2-2-2-2-2-222220000000000-20000002-22000000000000
χ252222-2-2-2-2-2-222-2-222-2-22200000000020000-2-22000000000000000
χ262222-2-2-2-2-2-222-2-222-2-222000000000-2000022-2000000000000000
χ272222-2-2-2-2-2-2-2-2222222-2-200000000200-2-22000000000000000000
χ282222-2-2-2-2-2-2-2-2222222-2-200000000-20022-2000000000000000000
χ2922-2-22i2i−2i−2i2-22-22-22i−2i2i−2i2i−2i00000000000000000000000000002i−2i2-2
χ3022-2-22i2i−2i−2i2-22-22-22i−2i2i−2i2i−2i0000000000000000000000000000−2i2i-22
χ3122-2-22i2i−2i−2i2-2-22-222i−2i−2i2i−2i2i22-2-22i2i−2i−2i000000000000000000000000
χ3222-2-22i2i−2i−2i2-2-22-222i−2i−2i2i−2i2i-2-222−2i−2i2i2i000000000000000000000000
χ3322-2-22i2i−2i−2i-222-2-22−2i2i2i−2i−2i2i000000000000000000002-22i−2i00000000
χ3422-2-22i2i−2i−2i-222-2-22−2i2i2i−2i−2i2i00000000000000000000-22−2i2i00000000
χ3522-2-22i2i−2i−2i-22-222-2−2i2i−2i2i2i−2i0000000000000000000000002-22i−2i0000
χ3622-2-22i2i−2i−2i-22-222-2−2i2i−2i2i2i−2i000000000000000000000000-22−2i2i0000
χ3722-2-2−2i−2i2i2i2-22-22-2−2i2i−2i2i−2i2i00000000000000000000000000002i−2i-22
χ3822-2-2−2i−2i2i2i2-22-22-2−2i2i−2i2i−2i2i0000000000000000000000000000−2i2i2-2
χ3922-2-2−2i−2i2i2i2-2-22-22−2i2i2i−2i2i−2i22-2-2−2i−2i2i2i000000000000000000000000
χ4022-2-2−2i−2i2i2i2-2-22-22−2i2i2i−2i2i−2i-2-2222i2i−2i−2i000000000000000000000000
χ4122-2-2−2i−2i2i2i-222-2-222i−2i−2i2i2i−2i000000000000000000002-2−2i2i00000000
χ4222-2-2−2i−2i2i2i-222-2-222i−2i−2i2i2i−2i00000000000000000000-222i−2i00000000
χ4322-2-2−2i−2i2i2i-22-222-22i−2i2i−2i−2i2i0000000000000000000000002-2−2i2i0000
χ4422-2-2−2i−2i2i2i-22-222-22i−2i2i−2i−2i2i000000000000000000000000-222i−2i0000
χ454-44-44-44-40000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ464-44-44-44-4000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ474-44-4-44-440000000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ484-44-4-44-44000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000
χ494-4-444i−4i−4i4i0000000000002i−2i−2i2i-222-2000000000000000000000000
χ504-4-444i−4i−4i4i000000000000−2i2i2i−2i2-2-22000000000000000000000000
χ514-4-44−4i4i4i−4i0000000000002i−2i−2i2i2-2-22000000000000000000000000
χ524-4-44−4i4i4i−4i000000000000−2i2i2i−2i-222-2000000000000000000000000

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