Finite Group Databasebeta

← Group #33086

Character table — Group #33086

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size11111111222244444444444444444444444444448888888816161616
order1222222244442222444444444444444444444444888888882444
χ11111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1
χ4111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111
χ51111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-11-1
χ61111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-11
χ71111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1111-1-11
χ81111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-111-1
χ9111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1
χ10111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ11111111111111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111
χ12111111111111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1
χ13111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-1-11-11
χ14111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1111-11-1
χ15111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-111-111-1
χ16111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-11111-1-11-1-11
χ1722222222-2-2-2-200002222-2-2000022-2-20000-2-20000000000000000
χ1822222222-2-2-2-2000022-2-2220000-2-2220000-2-20000000000000000
χ1922222222-2-2-2-20000-2-222-2-20000-2-2220000220000000000000000
χ2022222222-2-2-2-20000-2-2-2-222000022-2-20000220000000000000000
χ21222-2-2-2-2222-2-20000002i−2i2i−2i000000002i2i−2i−2i0022-2-2000000000000
χ22222-2-2-2-2222-2-20000002i−2i2i−2i00000000−2i−2i2i2i00-2-222000000000000
χ23222-2-2-2-2222-2-2000000−2i2i−2i2i000000002i2i−2i−2i00-2-222000000000000
χ24222-2-2-2-2222-2-2000000−2i2i−2i2i00000000−2i−2i2i2i0022-2-2000000000000
χ25222-2-2-2-22-2-22222-2-2002i−2i−2i2i2i2i−2i−2i00000000000000000000000000
χ26222-2-2-2-22-2-22222-2-200−2i2i2i−2i−2i−2i2i2i00000000000000000000000000
χ27222-2-2-2-22-2-222-2-222002i−2i−2i2i−2i−2i2i2i00000000000000000000000000
χ28222-2-2-2-22-2-222-2-22200−2i2i2i−2i2i2i−2i−2i00000000000000000000000000
χ2922-222-2-2-22-22-200000000002-22-22i−2i2i−2i0000002i−2i2i−2i000000000000
χ3022-222-2-2-22-22-200000000002-22-2−2i2i−2i2i000000−2i2i−2i2i000000000000
χ3122-222-2-2-22-22-20000000000-22-222i−2i2i−2i000000−2i2i−2i2i000000000000
χ3222-222-2-2-22-22-20000000000-22-22−2i2i−2i2i0000002i−2i2i−2i000000000000
χ3322-222-2-2-2-22-222-22-200000000002i−2i−2i2i2i−2i2i−2i000000000000000000
χ3422-222-2-2-2-22-222-22-20000000000−2i2i2i−2i−2i2i−2i2i000000000000000000
χ3522-222-2-2-2-22-22-22-2200000000002i−2i−2i2i−2i2i−2i2i000000000000000000
χ3622-222-2-2-2-22-22-22-220000000000−2i2i2i−2i2i−2i2i−2i000000000000000000
χ3722-2-2-222-22-2-222-2-222i−2i00000000000000002i−2i2i−2i−2i2i000000000000
χ3822-2-2-222-22-2-222-2-22−2i2i0000000000000000−2i2i−2i2i2i−2i000000000000
χ3922-2-2-222-22-2-22-222-22i−2i00000000000000002i−2i−2i2i2i−2i000000000000
χ4022-2-2-222-22-2-22-222-2−2i2i0000000000000000−2i2i2i−2i−2i2i000000000000
χ4122-2-2-222-2-222-200002i−2i00002i−2i−2i2i0000-222-2−2i2i0000000000000000
χ4222-2-2-222-2-222-200002i−2i0000−2i2i2i−2i00002-2-22−2i2i0000000000000000
χ4322-2-2-222-2-222-20000−2i2i00002i−2i−2i2i00002-2-222i−2i0000000000000000
χ4422-2-2-222-2-222-20000−2i2i0000−2i2i2i−2i0000-222-22i−2i0000000000000000
χ454-444-44-4-400000000000000000000000000000000002i2−2i200000000
χ464-444-44-4-40000000000000000000000000000000000−2i22i200000000
χ474-44-44-44-4000000000000000000000000000000000000002i2−2i20000
χ484-44-44-44-400000000000000000000000000000000000000−2i22i20000
χ494-4-44-4-44400000000000000000000000000000000000022−22000000
χ504-4-44-4-444000000000000000000000000000000000000−2222000000
χ514-4-4-444-440000000000000000000000000000000022−220000000000
χ524-4-4-444-4400000000000000000000000000000000−22220000000000

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