Finite Group Databasebeta

← Group #9136

Character table — Group #9136

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222222224444444444888888888888888816161616
order1222222244444444224444444488888888888888884444
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ81111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ911111111-1-1-1-1-1-1-1-111-1-1-1-11111ii−i−iii−i−iii−i−iii−i−i1-11-1
χ1011111111-1-1-1-1-1-1-1-111-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii-11-11
χ1111111111-1-1-1-1-1-1-1-111-1-1-1-11111−i−iii−i−iiiii−i−iii−i−i-11-11
χ1211111111-1-1-1-1-1-1-1-111-1-1-1-11111−i−iii−i−iii−i−iii−i−iii1-11-1
χ1311111111-1-1-1-1-1-1-1-1-1-1111111-1-1ii−i−i−i−iiiii−i−i−i−iii1-1-11
χ1411111111-1-1-1-1-1-1-1-1-1-1111111-1-1ii−i−i−i−iii−i−iiiii−i−i-111-1
χ1511111111-1-1-1-1-1-1-1-1-1-1111111-1-1−i−iiiii−i−iii−i−i−i−iii-111-1
χ1611111111-1-1-1-1-1-1-1-1-1-1111111-1-1−i−iiiii−i−i−i−iiiii−i−i1-1-11
χ172222222222-2-222-2-22222-2-2-2-2-2-200000000000000000000
χ182222222222-2-222-2-2-2-2-2-222-2-22200000000000000000000
χ1922222222-2-222-2-22222-2-222-2-2-2-200000000000000000000
χ2022222222-2-222-2-222-2-222-2-2-2-22200000000000000000000
χ2122-2-22-22-2002-2002-2002i−2i00002i−2ii2−i2i2−i22−22−2000000000000
χ2222-2-22-22-2002-2002-2002i−2i00002i−2i−i2i2−i2i2−22−22000000000000
χ2322-2-22-22-2002-2002-200−2i2i0000−2i2ii2−i2i2−i2−22−22000000000000
χ2422-2-22-22-2002-2002-200−2i2i0000−2i2i−i2i2−i2i22−22−2000000000000
χ2522-2-22-22-200-2200-22002i−2i0000−2i2i2−2−22i2−i2−i2i2000000000000
χ2622-2-22-22-200-2200-22002i−2i0000−2i2i−222−2−i2i2i2−i2000000000000
χ2722-2-22-22-200-2200-2200−2i2i00002i−2i2−2−22−i2i2i2−i2000000000000
χ2822-2-22-22-200-2200-2200−2i2i00002i−2i−222−2i2−i2−i2i2000000000000
χ292-2-2-222-222-2222-2-2-20000002-200000000002i−2i2i−2i00000000
χ302-2-2-222-222-2222-2-2-20000002-20000000000−2i2i−2i2i00000000
χ312-2-2-222-222-2-2-22-222000000-22000000000000002-22-20000
χ322-2-2-222-222-2-2-22-222000000-2200000000000000-22-220000
χ332-2-2-222-22-2222-22-2-2000000-22000000000000002i−2i−2i2i0000
χ342-2-2-222-22-2222-22-2-2000000-2200000000000000−2i2i2i−2i0000
χ352-2-2-222-22-22-2-2-22220000002-200000000002-2-2200000000
χ362-2-2-222-22-22-2-2-22220000002-20000000000-222-200000000
χ37444-4-44-4-44-400-4400000000000000000000000000000000
χ38444-4-44-4-4-44004-400000000000000000000000000000000
χ3944-44-4-4-440000000000004i−4i000000000000000000000000
χ4044-44-4-4-44000000000000−4i4i000000000000000000000000
χ414-4444-4-4-4004-400-44000000000000000000000000000000
χ424-4444-4-4-400-44004-4000000000000000000000000000000
χ434-44-4-4-444000000004-40000000000000000000000000000
χ444-44-4-4-44400000000-440000000000000000000000000000
χ454-4-44-444-44400-4-400000000000000000000000000000000
χ464-4-44-444-4-4-4004400000000000000000000000000000000

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