Finite Group Databasebeta

← Group #8404

Character table — Group #8404

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size1111111122224444444488888888888888888888888888
order1222222222224444444422224444444444444488888888
χ11111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1
χ611111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111
χ711111111111111-1-1-1-111-1-111-1-11111-1-111-1-1-1-1-1-1-1-11111
χ811111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ911-1-1-11-1111-1-11111-1-1-1-11-11-11-1ii−i−i1-11-1ii−i−iii−i−iii−i−i
χ1011-1-1-11-1111-1-11111-1-1-1-11-11-11-1−i−iii1-11-1−i−iii−i−iii−i−iii
χ1111-1-1-11-1111-1-11111-1-1-1-1-11-111-1ii−i−i-11-11ii−i−i−i−iii−i−iii
χ1211-1-1-11-1111-1-11111-1-1-1-1-11-111-1−i−iii-11-11−i−iiiii−i−iii−i−i
χ1311-1-1-11-1111-1-111-1-111-1-11-1-11-11ii−i−i1-1-11−i−iiiii−i−i−i−iii
χ1411-1-1-11-1111-1-111-1-111-1-11-1-11-11−i−iii1-1-11ii−i−i−i−iiiii−i−i
χ1511-1-1-11-1111-1-111-1-111-1-1-111-1-11ii−i−i-111-1−i−iii−i−iiiii−i−i
χ1611-1-1-11-1111-1-111-1-111-1-1-111-1-11−i−iii-111-1ii−i−iii−i−i−i−iii
χ17222222222222-2-22222-2-20000-2-200000000000000000000
χ18222222222222-2-2-2-2-2-2-2-200002200000000000000000000
χ1922222222-2-2-2-22-200002-2002200000000-2-2000000000000
χ2022222222-2-2-2-22-200002-200-2-20000000022000000000000
χ2122222222-2-2-2-2-220000-222200000000-2-200000000000000
χ2222222222-2-2-2-2-220000-22-2-2000000002200000000000000
χ2322-2-2-22-2222-2-2-2-222-2-2220000-2200000000000000000000
χ2422-2-2-22-2222-2-2-2-2-2-2222200002-200000000000000000000
χ2522-2-2-22-22-2-2222-20000-22002-200000000-22000000000000
χ2622-2-2-22-22-2-2222-20000-2200-22000000002-2000000000000
χ2722-2-2-22-22-2-222-2200002-22-200000000-2200000000000000
χ2822-2-2-22-22-2-222-2200002-2-22000000002-200000000000000
χ292-222-2-2-222-22-2002-22-200000000000000000000i2−i2i2−i2i2−i2i2−i2
χ302-222-2-2-222-22-2002-22-200000000000000000000−i2i2−i2i2−i2i2−i2i2
χ312-222-2-2-222-22-200-22-2200000000000000000000i2−i2i2−i2−i2i2−i2i2
χ322-222-2-2-222-22-200-22-2200000000000000000000−i2i2−i2i2i2−i2i2−i2
χ332-2-2-22-2222-2-22002-2-22000000000000000000002−2−222−2−22
χ342-2-2-22-2222-2-22002-2-2200000000000000000000−222−2−222−2
χ352-2-2-22-2222-2-2200-222-2000000000000000000002−2−22−222−2
χ362-2-2-22-2222-2-2200-222-200000000000000000000−222−22−2−22
χ37444-44-4-4-4000000000000000000000000002-22-200000000
χ38444-44-4-4-400000000000000000000000000-22-2200000000
χ3944-44-4-44-4000000000000000000000000002i−2i−2i2i00000000
χ4044-44-4-44-400000000000000000000000000−2i2i2i−2i00000000
χ414-444-4-4-44-44-440000000000000000000000000000000000
χ424-44-4-444-40000000000000000002-22-20000000000000000
χ434-44-4-444-4000000000000000000-22-220000000000000000
χ444-4-4444-4-40000000000000000002i−2i−2i2i0000000000000000
χ454-4-4444-4-4000000000000000000−2i2i2i−2i0000000000000000
χ464-4-4-44-444-444-40000000000000000000000000000000000

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