Finite Group Databasebeta

← Group #9026

Character table — Group #9026

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size1111111122224444444488888888888888888888888888
order1222222222224444444444444444444444444488888888
χ11111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ411111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111
χ511111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111
χ811111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ911-1-1-1-1111-1-111111-1-1-1-1ii−i−iii−i−i1-111-1-111-1-1ii−i−iii−i−i
χ1011-1-1-1-1111-1-111111-1-1-1-1ii−i−iii−i−i1-1-1-111-1-111−i−iii−i−iii
χ1111-1-1-1-1111-1-111111-1-1-1-1−i−iii−i−iii1-111-1-111-1-1−i−iii−i−iii
χ1211-1-1-1-1111-1-111111-1-1-1-1−i−iii−i−iii1-1-1-111-1-111ii−i−iii−i−i
χ1311-1-1-1-1111-1-1111-1-111-1-1ii−i−i−i−iii-1111-1-1-1-111ii−i−i−i−iii
χ1411-1-1-1-1111-1-1111-1-111-1-1ii−i−i−i−iii-11-1-11111-1-1−i−iiiii−i−i
χ1511-1-1-1-1111-1-1111-1-111-1-1−i−iiiii−i−i-1111-1-1-1-111−i−iiiii−i−i
χ1611-1-1-1-1111-1-1111-1-111-1-1−i−iiiii−i−i-11-1-11111-1-1ii−i−i−i−iii
χ17222222222222-2-22222-2-200000000-2-20000000000000000
χ18222222222222-2-2-2-2-2-2-2-200000000220000000000000000
χ1922222222-2-2-2-22-200002-200002-22-2000000000000000000
χ2022222222-2-2-2-22-200002-20000-22-22000000000000000000
χ2122222222-2-2-2-2-220000-222-22-20000000000000000000000
χ2222222222-2-2-2-2-220000-22-22-220000000000000000000000
χ2322-2-2-2-2222-2-22-2-222-2-22200000000-220000000000000000
χ2422-2-2-2-2222-2-22-2-2-2-22222000000002-20000000000000000
χ2522-2-2-2-222-222-22-20000-2200002i−2i−2i2i000000000000000000
χ2622-2-2-2-222-222-22-20000-220000−2i2i2i−2i000000000000000000
χ2722-2-2-2-222-222-2-2200002-22i−2i−2i2i0000000000000000000000
χ2822-2-2-2-222-222-2-2200002-2−2i2i2i−2i0000000000000000000000
χ292-222-2-2-2222-2-2002i−2i2i−2i000000000000000000002−22−2i2−i2i2−i2
χ302-222-2-2-2222-2-2002i−2i2i−2i00000000000000000000−22−22−i2i2−i2i2
χ312-222-2-2-2222-2-200−2i2i−2i2i000000000000000000002−22−2−i2i2−i2i2
χ322-222-2-2-2222-2-200−2i2i−2i2i00000000000000000000−22−22i2−i2i2−i2
χ332-2-2-222-222-22-2002i−2i−2i2i00000000000000000000i2−i2−i2i2−222−2
χ342-2-2-222-222-22-2002i−2i−2i2i00000000000000000000−i2i2i2−i22−2−22
χ352-2-2-222-222-22-200−2i2i2i−2i00000000000000000000i2−i2−i2i22−2−22
χ362-2-2-222-222-22-200−2i2i2i−2i00000000000000000000−i2i2i2−i2−222−2
χ37444-44-4-4-4000000000000000000000000002-22-200000000
χ38444-44-4-4-400000000000000000000000000-22-2200000000
χ3944-44-44-4-4000000000000000000000000002-2-2200000000
χ4044-44-44-4-400000000000000000000000000-222-200000000
χ414-444-4-4-44-4-4440000000000000000000000000000000000
χ424-44-4-444-400000000000000000000002i−2i2i−2i000000000000
χ434-44-4-444-40000000000000000000000−2i2i−2i2i000000000000
χ444-4-444-44-400000000000000000000002i−2i−2i2i000000000000
χ454-4-444-44-40000000000000000000000−2i2i2i−2i000000000000
χ464-4-4-444-44-44-440000000000000000000000000000000000

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