Finite Group Databasebeta

← Group #26257

Character table — Group #26257

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222222224444444444888888888888888816161616
order1222222244444444448888888822444444444488882244
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11-11-1
χ6111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-11-11
χ7111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-11-11
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111-11-1
χ9111111111-1-1-1-1111-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111
χ10111111111-1-1-1-1111-1-11111-1-1-1-111-1-111-1-1-1-111-1-11111-1-1
χ11111111111-1-1-1-1111-1-11111-1-1-1-1-1-111-1-11111-1-111-1-111-1-1
χ12111111111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111
χ13111111111-1-1-1-1111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-111-1
χ14111111111-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-11-1-11
χ15111111111-1-1-1-1111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1111-1-11
χ16111111111-1-1-1-1111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-111-1
χ1722222222-22222-2-2-2-2-200000000002-20000002-200000000
χ1822222222-22222-2-2-2-2-20000000000-22000000-2200000000
χ1922222222-2-2-2-2-2-2-2-22200000000002-2000000-2200000000
χ2022222222-2-2-2-2-2-2-2-2220000000000-220000002-200000000
χ2122-2-222-2-2200002-2-20022-2-200000000002i−2i2i−2i0000000000
χ2222-2-222-2-2200002-2-20022-2-20000000000−2i2i−2i2i0000000000
χ2322-2-222-2-2200002-2-200-2-22200000000002i−2i−2i2i0000000000
χ2422-2-222-2-2200002-2-200-2-2220000000000−2i2i2i−2i0000000000
χ252-2222-2-2-222i2i−2i−2i-2-222i−2i000000000000000000002i−2i2-20000
χ262-2222-2-2-222i2i−2i−2i-2-222i−2i00000000000000000000−2i2i-220000
χ272-2222-2-2-22−2i−2i2i2i-2-22−2i2i000000000000000000002i−2i-220000
χ282-2222-2-2-22−2i−2i2i2i-2-22−2i2i00000000000000000000−2i2i2-20000
χ292-2222-2-2-2-22i2i−2i−2i22-2−2i2i2-22-22i2i−2i−2i00000000000000000000
χ302-2222-2-2-2-22i2i−2i−2i22-2−2i2i-22-22−2i−2i2i2i00000000000000000000
χ312-2222-2-2-2-2−2i−2i2i2i22-22i−2i2-22-2−2i−2i2i2i00000000000000000000
χ322-2222-2-2-2-2−2i−2i2i2i22-22i−2i-22-222i2i−2i−2i00000000000000000000
χ332-2-2-22-222-200002-22002-2-2200002-2002-200000000000000
χ342-2-2-22-222-200002-22002-2-220000-2200-2200000000000000
χ352-2-2-22-222-200002-2200-222-200002-200-2200000000000000
χ362-2-2-22-222-200002-2200-222-20000-22002-200000000000000
χ37444-4-4-44-4000000000000002i2−2i22i2−2i200000000000000000000
χ38444-4-4-44-400000000000000−2i22i2−2i22i200000000000000000000
χ3944-44-4-4-4404i−4i4i−4i000000000000000000000000000000000
χ4044-44-4-4-440−4i4i−4i4i000000000000000000000000000000000
χ4144-4-444-4-4-40000-444000000000000000000000000000000
χ424-44-4-44-440000000000000022−22−222200000000000000000000
χ434-44-4-44-4400000000000000−222222−2200000000000000000000
χ444-4-44-444-404-4-44000000000000000000000000000000000
χ454-4-44-444-40-444-4000000000000000000000000000000000
χ464-4-4-44-44440000-44-4000000000000000000000000000000

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