Finite Group Databasebeta

← Group #26969

Character table — Group #26969

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222222224444444444888888888888888816161616
order1222222244444444448888888822222444444488884444
χ11111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11-1-11
χ6111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-111-1
χ7111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-111-1
χ8111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111-1-11
χ9111111111-1-1-1-1111-1-11111-1-1-1-111111-1-11-1-1-1-111-1-1-11-11
χ10111111111-1-1-1-1111-1-11111-1-1-1-11111-111-1-1-1-1-1-1-1111-11-1
χ11111111111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-11-1-11111111-1-11-11-1
χ12111111111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-111-11111-1-111-11-11
χ13111111111-1-1-1-1111-1-1-1-1-1-1111111-1-11-1-11-1-111-1-111-1-111
χ14111111111-1-1-1-1111-1-1-1-1-1-1111111-1-1-111-1-1-11111-1-111-1-1
χ15111111111-1-1-1-1111-1-1-1-1-1-11111-1-1111-1-1111-1-1-1-11111-1-1
χ16111111111-1-1-1-1111-1-1-1-1-1-11111-1-111-111-111-1-111-1-1-1-111
χ1722222222-22222-2-2-2-2-200000000000022-2-2000000000000
χ1822222222-22222-2-2-2-2-2000000000000-2-222000000000000
χ1922222222-2-2-2-2-2-2-2-2220000000000002-22-2000000000000
χ2022222222-2-2-2-2-2-2-2-222000000000000-22-22000000000000
χ2122-2-22-22-222i2i−2i−2i-2-222i−2i000000000000000000002i−2i2-20000
χ2222-2-22-22-222i2i−2i−2i-2-222i−2i00000000000000000000−2i2i-220000
χ2322-2-22-22-22−2i−2i2i2i-2-22−2i2i000000000000000000002i−2i-220000
χ2422-2-22-22-22−2i−2i2i2i-2-22−2i2i00000000000000000000−2i2i2-20000
χ2522-2-22-22-2-22i2i−2i−2i22-2−2i2i22-2-22i2i−2i−2i00000000000000000000
χ2622-2-22-22-2-22i2i−2i−2i22-2−2i2i-2-222−2i−2i2i2i00000000000000000000
χ2722-2-22-22-2-2−2i−2i2i2i22-22i−2i22-2-2−2i−2i2i2i00000000000000000000
χ2822-2-22-22-2-2−2i−2i2i2i22-22i−2i-2-2222i2i−2i−2i00000000000000000000
χ292-22-2-222-2200002-2-20000002i−2i2i−2i002-200002i−2i0000000000
χ302-22-2-222-2200002-2-20000002i−2i2i−2i00-220000−2i2i0000000000
χ312-22-2-222-2200002-2-2000000−2i2i−2i2i002-20000−2i2i0000000000
χ322-22-2-222-2200002-2-2000000−2i2i−2i2i00-2200002i−2i0000000000
χ332-2-22-2-222-200002-220000002-2-222-2000000002-200000000
χ342-2-22-2-222-200002-220000002-2-22-2200000000-2200000000
χ352-2-22-2-222-200002-22000000-222-22-200000000-2200000000
χ362-2-22-2-222-200002-22000000-222-2-22000000002-200000000
χ374444-4-4-4-4000000000022−2222−22000000000000000000000000
χ384444-4-4-4-40000000000−2222−2222000000000000000000000000
χ3944-4-4-44-44000000000022−22−2222000000000000000000000000
χ4044-4-4-44-440000000000−222222−22000000000000000000000000
χ414-44-44-4-4404-44-4000000000000000000000000000000000
χ424-44-44-4-440-44-44000000000000000000000000000000000
χ434-44-4-444-4-40000-444000000000000000000000000000000
χ444-4-4444-4-404i−4i−4i4i000000000000000000000000000000000
χ454-4-4444-4-40−4i4i4i−4i000000000000000000000000000000000
χ464-4-44-4-44440000-44-4000000000000000000000000000000

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