Finite Group Databasebeta

← Group #23771

Character table — Group #23771

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size1111111122222222222244444444888888888888888888888888
order1222222244444444444488888888222444444444444444448888
χ11111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111
χ41111111111111111111111111111-1-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1
χ511111111111111111111-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1111-1-1-1-1-1-1
χ611111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-1-1-1-1111111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-111-1-111111-1-111-1-1-1-1
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-111-1-11111
χ911111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-11111-1-111-1-1-1-1-1-1-111-1-1
χ1011111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11-1-1-1-1-1-111-1-111111-1-111
χ1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-111-1-111-1111111-1-1
χ1211111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-111
χ1311111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-111-1-1-1-1-1-111-1-1-111-1-111
χ1411111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11-1-111-1-1-1-111111-1-111-1-1
χ1511111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1111111-1-1-111-1-1-1-111
χ1611111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-11111-1-11-1-11111-1-1
χ17222222222222-2-2-2-2-2-2-2-200000000002-2-20000000000200000000
χ18222222222222-2-2-2-2-2-2-2-20000000000-2220000000000-200000000
χ1922222222-2-2-2-22222-2-2-2-200000000002-220000000000-200000000
χ2022222222-2-2-2-22222-2-2-2-20000000000-22-20000000000200000000
χ21222-2-22-2-222-2-222-2-222-2-20000000000000002i−2i0000000002i−2i0000
χ22222-2-22-2-222-2-222-2-222-2-2000000000000000−2i2i000000000−2i2i0000
χ23222-2-22-2-222-2-2-2-222-2-22200000000000000000002i−2i2i−2i000000000
χ24222-2-22-2-222-2-2-2-222-2-2220000000000000000000−2i2i−2i2i000000000
χ25222-2-22-2-2-2-22222-2-2-2-22200000000000000000002i−2i−2i2i000000000
χ26222-2-22-2-2-2-22222-2-2-2-2220000000000000000000−2i2i2i−2i000000000
χ27222-2-22-2-2-2-222-2-22222-2-20000000000000002i−2i000000000−2i2i0000
χ28222-2-22-2-2-2-222-2-22222-2-2000000000000000−2i2i0000000002i−2i0000
χ2922-22-2-22-22i−2i2i−2i2i−2i2i−2i2-22-200000000000000000000000000002-22i−2i
χ3022-22-2-22-22i−2i2i−2i2i−2i2i−2i2-22-20000000000000000000000000000-22−2i2i
χ3122-22-2-22-22i−2i2i−2i−2i2i−2i2i-22-222i2i−2i−2i22-2-2000000000000000000000000
χ3222-22-2-22-22i−2i2i−2i−2i2i−2i2i-22-22−2i−2i2i2i-2-222000000000000000000000000
χ3322-22-2-22-2−2i2i−2i2i2i−2i2i−2i-22-222i2i−2i−2i-2-222000000000000000000000000
χ3422-22-2-22-2−2i2i−2i2i2i−2i2i−2i-22-22−2i−2i2i2i22-2-2000000000000000000000000
χ3522-22-2-22-2−2i2i−2i2i−2i2i−2i2i2-22-200000000000000000000000000002-2−2i2i
χ3622-22-2-22-2−2i2i−2i2i−2i2i−2i2i2-22-20000000000000000000000000000-222i−2i
χ3722-2-22-2-222i−2i−2i2i2i−2i−2i2i2-2-22000000002-200000002i−2i0000000000000
χ3822-2-22-2-222i−2i−2i2i2i−2i−2i2i2-2-2200000000-220000000−2i2i0000000000000
χ3922-2-22-2-222i−2i−2i2i−2i2i2i−2i-222-200000000000002-20000000002i−2i000000
χ4022-2-22-2-222i−2i−2i2i−2i2i2i−2i-222-20000000000000-22000000000−2i2i000000
χ4122-2-22-2-22−2i2i2i−2i2i−2i−2i2i-222-200000000000002-2000000000−2i2i000000
χ4222-2-22-2-22−2i2i2i−2i2i−2i−2i2i-222-20000000000000-220000000002i−2i000000
χ4322-2-22-2-22−2i2i2i−2i−2i2i2i−2i2-2-22000000002-20000000−2i2i0000000000000
χ4422-2-22-2-22−2i2i2i−2i−2i2i2i−2i2-2-2200000000-2200000002i−2i0000000000000
χ454-444-4-4-4400000000000000002i2−2i22i2−2i2000000000000000000000000
χ464-444-4-4-440000000000000000−2i22i2−2i22i2000000000000000000000000
χ474-44-44-44-40000000000002i2−2i22i2−2i20000000000000000000000000000
χ484-44-44-44-4000000000000−2i22i2−2i22i20000000000000000000000000000
χ494-4-4444-4-400000000000000002i2−2i2−2i22i2000000000000000000000000
χ504-4-4444-4-40000000000000000−2i22i22i2−2i2000000000000000000000000
χ514-4-4-4-444400000000000022−22−22220000000000000000000000000000
χ524-4-4-4-4444000000000000−222222−220000000000000000000000000000

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