Finite Group Databasebeta

← Group #7645

Character table — Group #7645

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size1111111122222222222244444444888888888888888888888888
order1222222244444444444422444444224444448888888888888888
χ11111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i
χ6111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii
χ7111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii
χ8111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i
χ911111111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-1-111
χ1111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-111-1-111
χ1211111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111-1-111-1-1
χ1311111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1ii−i−i−i−iiiii−i−i−i−iii
χ1411111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1−i−iiiii−i−i−i−iiiii−i−i
χ1511111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111ii−i−i−i−iii−i−iiiii−i−i
χ1611111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111−i−iiiii−i−iii−i−i−i−iii
χ172222222222222222-2-2-2-2-2-222-2-2-2-2000000000000000000000000
χ18222222222222-2-2-2-22222-2-2-2-222-2-2000000000000000000000000
χ1922222222-2-2-2-22222-2-2-2-222-2-222-2-2000000000000000000000000
χ2022222222-2-2-2-2-2-2-2-222222222-2-2-2-2000000000000000000000000
χ21222-2-2-2-2200002i2i−2i−2i2i2i−2i−2i0000002-200002i−2i2-20000000000000000
χ22222-2-2-2-2200002i2i−2i−2i2i2i−2i−2i0000002-20000−2i2i-220000000000000000
χ23222-2-2-2-2200002i2i−2i−2i−2i−2i2i2i000000-222-22i−2i00000000000000000000
χ24222-2-2-2-2200002i2i−2i−2i−2i−2i2i2i000000-22-22−2i2i00000000000000000000
χ25222-2-2-2-220000−2i−2i2i2i2i2i−2i−2i000000-222-2−2i2i00000000000000000000
χ26222-2-2-2-220000−2i−2i2i2i2i2i−2i−2i000000-22-222i−2i00000000000000000000
χ27222-2-2-2-220000−2i−2i2i2i−2i−2i2i2i0000002-200002i−2i-220000000000000000
χ28222-2-2-2-220000−2i−2i2i2i−2i−2i2i2i0000002-20000−2i2i2-20000000000000000
χ2922-222-2-2-22i2i−2i−2i00002-22-200002i−2i0000000000i2−i22−2i2−i22−200000000
χ3022-222-2-2-22i2i−2i−2i00002-22-200002i−2i0000000000−i2i2−22−i2i2−2200000000
χ3122-222-2-2-22i2i−2i−2i0000-22-220000−2i2i00000000002−2−i2i2−22i2−i200000000
χ3222-222-2-2-22i2i−2i−2i0000-22-220000−2i2i0000000000−22i2−i22−2−i2i200000000
χ3322-222-2-2-2−2i−2i2i2i00002-22-20000−2i2i0000000000i2−i2−22i2−i2−2200000000
χ3422-222-2-2-2−2i−2i2i2i00002-22-20000−2i2i0000000000−i2i22−2−i2i22−200000000
χ3522-222-2-2-2−2i−2i2i2i0000-22-2200002i−2i00000000002−2i2−i2−22−i2i200000000
χ3622-222-2-2-2−2i−2i2i2i0000-22-2200002i−2i0000000000−22−i2i22−2i2−i200000000
χ372-222-22-2-22i−2i2i−2i2-22-20000002i−2i000000000000000000002−2i2−i22−2i2−i2
χ382-222-22-2-22i−2i2i−2i2-22-20000002i−2i00000000000000000000−22−i2i2−22−i2i2
χ392-222-22-2-22i−2i2i−2i-22-22000000−2i2i00000000000000000000i2−i2−22−i2i22−2
χ402-222-22-2-22i−2i2i−2i-22-22000000−2i2i00000000000000000000−i2i22−2i2−i2−22
χ412-222-22-2-2−2i2i−2i2i2-22-2000000−2i2i000000000000000000002−2−i2i22−2−i2i2
χ422-222-22-2-2−2i2i−2i2i2-22-2000000−2i2i00000000000000000000−22i2−i2−22i2−i2
χ432-222-22-2-2−2i2i−2i2i-22-220000002i−2i00000000000000000000i2−i22−2−i2i2−22
χ442-222-22-2-2−2i2i−2i2i-22-220000002i−2i00000000000000000000−i2i2−22i2−i22−2
χ4544-4-4-444-4000000004i−4i−4i4i00000000000000000000000000000000
χ4644-4-4-444-400000000−4i4i4i−4i00000000000000000000000000000000
χ474-44-44-44-400004i−4i−4i4i000000000000000000000000000000000000
χ484-44-44-44-40000−4i4i4i−4i000000000000000000000000000000000000
χ494-4-44-4-4444-4-440000000000000000000000000000000000000000
χ504-4-44-4-444-444-40000000000000000000000000000000000000000
χ514-4-4-444-440000000000004-4000000000000000000000000000000
χ524-4-4-444-44000000000000-44000000000000000000000000000000

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