Finite Group Databasebeta

← Group #88950

Character table — Group #88950

Order 432.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45
size11222244666666182244448812121212121236336666121218181818181854
order1233663622666643633663666666612226666662266664
χ1111111111111111111111111111111111111111111111
χ2111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1
χ311111111-11-1-111-111111111-11-1-111-111111111-11-1-111-1
χ411111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-11
χ5222-12-1-1-10200-1-10222-12-1-1-10200-1-10222-12-1-1-10200-1-10
χ6222-12-1-1-10-200110222-12-1-1-10-200110222-12-1-1-10-200110
χ722-12-12-1-120-1-100022-12-12-1-120-1-100022-12-12-1-120-1-1000
χ822-12-12-1-1-201100022-12-12-1-1-201100022-12-12-1-1-2011000
χ92-222-2-22-200000002-222-2-22-200000002-222-2-22-20000000
χ102-22-1-21-110000i3−i302-22-1-21-110000i3−i302-22-1-21-110000i3−i30
χ112-22-1-21-110000−i3i302-22-1-21-110000−i3i302-22-1-21-110000−i3i30
χ122-2-121-2-1100i3−i30002-2-121-2-1100i3−i30002-2-121-2-1100i3−i3000
χ132-2-121-2-1100−i3i30002-2-121-2-1100−i3i30002-2-121-2-1100−i3i3000
χ1444-2-2-2-211000000044-2-2-2-211000000044-2-2-2-2110000000
χ154-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-10000000
χ16111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ17111111111-111-1-1-1111111111-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111
χ1811111111-11-1-111-111111111-11-1-111-1-1-1-1-1-1-1-1-11-111-1-11
χ1911111111-1-1-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1
χ20222-12-1-1-10200-1-10222-12-1-1-10200-1-10-2-2-21-21110-200110
χ21222-12-1-1-10-200110222-12-1-1-10-200110-2-2-21-21110200-1-10
χ2222-12-12-1-120-1-100022-12-12-1-120-1-1000-2-21-21-211-2011000
χ2322-12-12-1-1-201100022-12-12-1-1-2011000-2-21-21-21120-1-1000
χ242-222-2-22-200000002-222-2-22-20000000-22-2-222-220000000
χ252-22-1-21-110000i3−i302-22-1-21-110000i3−i30-22-212-11-10000−i3i30
χ262-22-1-21-110000−i3i302-22-1-21-110000−i3i30-22-212-11-10000i3−i30
χ272-2-121-2-1100i3−i30002-2-121-2-1100i3−i3000-221-2-121-100−i3i3000
χ282-2-121-2-1100−i3i30002-2-121-2-1100−i3i3000-221-2-121-100i3−i3000
χ2944-2-2-2-211000000044-2-2-2-2110000000-4-42222-1-10000000
χ304-4-2-2221-100000004-4-2-2221-10000000-4422-2-2-110000000
χ31222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000
χ32222222222-222-2-2-2-1-1-1-1-1-1-1-1-11-1-1111000000000000000
χ3322222222-22-2-222-2-1-1-1-1-1-1-1-11-111-1-11000000000000000
χ3422222222-2-2-2-2-2-22-1-1-1-1-1-1-1-1111111-1000000000000000
χ35444-24-2-2-20400-2-20-2-2-21-21110-200110000000000000000
χ36444-24-2-2-20-400220-2-2-21-21110200-1-10000000000000000
χ3744-24-24-2-240-2-2000-2-21-21-211-2011000000000000000000
χ3844-24-24-2-2-4022000-2-21-21-21120-1-1000000000000000000
χ394-444-4-44-40000000-22-2-222-220000000000000000000000
χ404-44-2-42-2200002i3−2i30-22-212-11-10000−i3i30000000000000000
χ414-44-2-42-220000−2i32i30-22-212-11-10000i3−i30000000000000000
χ424-4-242-4-22002i3−2i3000-221-2-121-100−i3i3000000000000000000
χ434-4-242-4-2200−2i32i3000-221-2-121-100i3−i3000000000000000000
χ4488-4-4-4-4220000000-4-42222-1-10000000000000000000000
χ458-8-4-4442-20000000-4422-2-2-110000000000000000000000

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