Finite Group Databasebeta

← Group #28890

Character table — Group #28890

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222222224444444444888888888888888816161616
order1222222244444444448888888822444444444488882244
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111-111-111-111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-11-1-11-1-11-1-111111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-1-1-1-1-1111-1-11-1-11111-1-1-1-11-11-1
χ6111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-11111-11-11
χ7111111111111111111-1-1-1-1-1-1-1-1-1-11111111-1-11-1-1-1-1-11-11
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111111-11-1
χ9111111111-1-1-1-1111-1-11111-1-1-1-111111-1-1-11-1-1-111-1-1-111-1
χ10111111111-1-1-1-1111-1-11111-1-1-1-111-1111-1-1-1-1-11-1-1111-1-11
χ11111111111-1-1-1-1111-1-11111-1-1-1-1-1-11-1-1-111111-111-1-11-1-11
χ12111111111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1111-1111-1-111-111-1
χ13111111111-1-1-1-1111-1-1-1-1-1-11111111-1-1-1111-1-1-1-1-111-1-111
χ14111111111-1-1-1-1111-1-1-1-1-1-1111111-1-1-1111-1-1-1111-1-111-1-1
χ15111111111-1-1-1-1111-1-1-1-1-1-11111-1-1111-1-1-1111-1-1-11111-1-1
χ16111111111-1-1-1-1111-1-1-1-1-1-11111-1-1-1111-1-1-111111-1-1-1-111
χ1722222222-22222-2-2-2-2-20000000000200-200-200200000000
χ1822222222-22222-2-2-2-2-20000000000-200200200-200000000
χ1922222222-2-2-2-2-2-2-2-2220000000000200200-200-200000000
χ2022222222-2-2-2-2-2-2-2-2220000000000-200-200200200000000
χ21222-2-22-2-222i2i−2i−2i-2-222i−2i2i2i−2i−2i22-2-200000000000000000000
χ22222-2-22-2-222i2i−2i−2i-2-222i−2i−2i−2i2i2i-2-22200000000000000000000
χ23222-2-22-2-22−2i−2i2i2i-2-22−2i2i2i2i−2i−2i-2-22200000000000000000000
χ24222-2-22-2-22−2i−2i2i2i-2-22−2i2i−2i−2i2i2i22-2-200000000000000000000
χ25222-2-22-2-2-22i2i−2i−2i22-2−2i2i000000000000000000002-22i−2i0000
χ26222-2-22-2-2-22i2i−2i−2i22-2−2i2i00000000000000000000-22−2i2i0000
χ27222-2-22-2-2-2−2i−2i2i2i22-22i−2i000000000000000000002-2−2i2i0000
χ28222-2-22-2-2-2−2i−2i2i2i22-22i−2i00000000000000000000-222i−2i0000
χ2922-22-2-22-2200002-2-2002i−2i2i−2i00002-202i−2i000000000000000
χ3022-22-2-22-2200002-2-2002i−2i2i−2i0000-220−2i2i000000000000000
χ3122-22-2-22-2200002-2-200−2i2i−2i2i00002-20−2i2i000000000000000
χ3222-22-2-22-2200002-2-200−2i2i−2i2i0000-2202i−2i000000000000000
χ3322-2-22-2-2220000-22-2002-2-2200000000002i−2i02i−2i000000000
χ3422-2-22-2-2220000-22-2002-2-220000000000−2i2i0−2i2i000000000
χ3522-2-22-2-2220000-22-200-222-200000000002i−2i0−2i2i000000000
χ3622-2-22-2-2220000-22-200-222-20000000000−2i2i02i−2i000000000
χ3744-44-4-44-4-40000-444000000000000000000000000000000
χ3844-4-44-4-44-400004-44000000000000000000000000000000
χ394-4444-4-4-404i−4i4i−4i000000000000000000000000000000000
χ404-4444-4-4-40−4i4i−4i4i000000000000000000000000000000000
χ414-44-4-4-44404-4-44000000000000000000000000000000000
χ424-44-4-4-4440-444-4000000000000000000000000000000000
χ434-4-44-44-440000000000000022−2222−2200000000000000000000
χ444-4-44-44-4400000000000000−2222−222200000000000000000000
χ454-4-4-4444-40000000000000022−22−222200000000000000000000
χ464-4-4-4444-400000000000000−222222−2200000000000000000000

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