Finite Group Databasebeta

← Group #27133

Character table — Group #27133

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111111112222222244444444444444444488888888888888881616
order1222222244444444444444444488888888444444444444888824
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1111-1-111111-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1111111111-1-1-1-11-1-1-1-1-1-11111-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-111
χ51111111111111111-1-1-1-111111111111111-1-1-111-111-1-111-1-1-1-1-1-1
χ61111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ71111111111111111-1-1-1-111-1-1-1-111111111-111-1-1-1-1-111-1-1-1-1-1-111
χ81111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111111111-1-1
χ9111111111-1-1-1-111111-1-1-1-111111111-1-1-1-1-111-1-11-1-1-1-111-1-111-11
χ10111111111-1-1-1-111111-1-1-1-11111-1-1-1-11111-111111-1-1-1-1-1-111-1-11-1
χ11111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111111-1-1-1-1111-1
χ12111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111111111-1-1-11
χ13111111111-1-1-1-1111-1-111-1-111111111-1-1-1-11-1-1-1-1-1-1-1111111-1-11-1
χ14111111111-1-1-1-1111-1-111-1-11111-1-1-1-111111-1-111-1-1-111-1-1-1-111-11
χ15111111111-1-1-1-1111-1-111-1-1-1-1-1-11111-1-1-1-111111-111-1-1-1-111-1-1-11
χ16111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-11111111-1-1-111-1-111-1-1111-1
χ1722222222-22222-2-2-22222-2-2000000000000-20000-2000000000000
χ1822222222-22222-2-2-2-2-2-2-2-2-2000000000000200002000000000000
χ1922222222-2-2-2-2-2-2-2-222-2-22200000000000020000-2000000000000
χ2022222222-2-2-2-2-2-2-2-2-2-22222000000000000-200002000000000000
χ21222-2-2-2-2222i2i−2i−2i-2-2200002i−2i2i2i−2i−2i000000000000002-20000000000
χ22222-2-2-2-2222i2i−2i−2i-2-2200002i−2i−2i−2i2i2i00000000000000-220000000000
χ23222-2-2-2-222−2i−2i2i2i-2-220000−2i2i2i2i−2i−2i00000000000000-220000000000
χ24222-2-2-2-222−2i−2i2i2i-2-220000−2i2i−2i−2i2i2i000000000000002-20000000000
χ25222-2-2-2-22-22i2i−2i−2i22-20000−2i2i00000000000002i−2i000002-200000000
χ26222-2-2-2-22-22i2i−2i−2i22-20000−2i2i0000000000000−2i2i00000-2200000000
χ27222-2-2-2-22-2−2i−2i2i2i22-200002i−2i00000000000002i−2i00000-2200000000
χ28222-2-2-2-22-2−2i−2i2i2i22-200002i−2i0000000000000−2i2i000002-200000000
χ2922-22-22-2-2-200002-220000002i−2i2i−2i000022-2-20002i−2i0000000000000
χ3022-22-22-2-2-200002-220000002i−2i2i−2i0000-2-222000−2i2i0000000000000
χ3122-22-22-2-2-200002-22000000−2i2i−2i2i000022-2-2000−2i2i0000000000000
χ3222-22-22-2-2-200002-22000000−2i2i−2i2i0000-2-2220002i−2i0000000000000
χ3322-2-22-22-2-20000-2220000002-2-222i2i−2i−2i000000000000002i−2i000000
χ3422-2-22-22-2-20000-2220000002-2-22−2i−2i2i2i00000000000000−2i2i000000
χ3522-2-22-22-2-20000-222000000-222-22i2i−2i−2i00000000000000−2i2i000000
χ3622-2-22-22-2-20000-222000000-222-2−2i−2i2i2i000000000000002i−2i000000
χ372-22-2-222-202i−2i2i−2i0002-22i−2i000000i2−i2i2−i22−22−20000000000002−2i2−i200
χ382-22-2-222-202i−2i2i−2i0002-22i−2i000000−i2i2−i2i2−22−22000000000000−22−i2i200
χ392-22-2-222-202i−2i2i−2i000-22−2i2i000000i2−i2i2−i22−22−2000000000000−22−i2i200
χ402-22-2-222-202i−2i2i−2i000-22−2i2i000000−i2i2−i2i2−22−220000000000002−2i2−i200
χ412-22-2-222-20−2i2i−2i2i0002-2−2i2i000000i2−i2i2−i2−22−22000000000000−22i2−i200
χ422-22-2-222-20−2i2i−2i2i0002-2−2i2i000000−i2i2−i2i22−22−20000000000002−2−i2i200
χ432-22-2-222-20−2i2i−2i2i000-222i−2i000000i2−i2i2−i2−22−220000000000002−2−i2i200
χ442-22-2-222-20−2i2i−2i2i000-222i−2i000000−i2i2−i2i22−22−2000000000000−22i2−i200
χ4544-44-44-4-440000-44-4000000000000000000000000000000000000
χ4644-4-44-44-4400004-4-4000000000000000000000000000000000000
χ474-4444-4-4-404-4-44000000000000000000000000000000000000000
χ484-4444-4-4-40-444-4000000000000000000000000000000000000000
χ494-4-44-4-44400000000000000000022−22−22220000000000000000000000
χ504-4-44-4-444000000000000000000−222222−220000000000000000000000
χ514-4-4-444-44000000000000000000000022−22−2222000000000000000000
χ524-4-4-444-440000000000000000000000−222222−22000000000000000000

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