Finite Group Databasebeta

← Group #11724143

Character table — Group #11724143

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39
size112244446888812121212121218242424242424242436363636363636365472108
order12363366233664466121246121212121212122481212122424468
χ1111111111111111111111111111111111111111
χ211111111111111-11111111-1-111-1-1-11-1111-1-11-1-1
χ31111111111111-1111-1-111-111-1-1111-1-1-1-11-1-111-1
χ41111111111111-1-111-1-111-1-1-1-1-1-1-1-1-11-1-11111-11
χ511111111-1111111-1-1111-11111111-1-11-1-1111-1-1-1
χ611111111-111111-1-1-1111-11-1-111-1-11-1-1-1-11-1-1-111
χ711111111-11111-11-1-1-1-11-1-111-1-111-11-1111-1-1-1-11
χ811111111-11111-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-11-1
χ92222222222222002200-22000000000000-200-200
χ1022222222-2222200-2-200-2-2000000000000-200200
χ1122-1-122220-1-1-1-122002220-1-12-1-1-1-100200-1-1-1000
χ1222-1-122220-1-1-1-12-2002220-11-2-1-11100-200-111000
χ1322-1-122220-1-1-1-1-2200-2-2201-1211-1-100-200-111000
χ1422-1-122220-1-1-1-1-2-200-2-22011-2111100200-1-1-1000
χ1544441-2-2141-21-22011-1-10-2200-1-100020-1-1000000
χ1644441-2-2141-21-2-2011110-2-20011000-2011000000
χ1744441-2-21-41-21-220-1-1-1-102200-1-1000-2011000000
χ1844441-2-21-41-21-2-20-1-11102-2001100020-1-1000000
χ194444-211-24-21-2102-2-2000102-100-1-1200000000-10
χ204444-211-24-21-210-2-2-200010-210011-20000000010
χ214444-211-2-4-21-210222000-102-100-1-1-20000000010
χ224444-211-2-4-21-210-222000-10-210011200000000-10
χ2344-2-244440-2-2-2-2000000-40000000000000200000
χ244-44-41-22-101-2-12003-33−3000003−3000003−3000000
χ254-44-41-22-101-2-12003-3−3300000−3300000−33000000
χ264-44-41-22-101-2-1200-333−3000003−300000−33000000
χ274-44-41-22-101-2-1200-33−3300000−33000003−3000000
χ284-44-444-4-4044-4-400000000000000000000000000
χ294-4-2244-4-40-2-222000000000000000000000i6−i6000
χ304-4-2244-4-40-2-222000000000000000000000−i6i6000
χ3188-4-42-4-420-12-124000-2-200-200110000000000000
χ3288-4-42-4-420-12-12-40002200200-1-10000000000000
χ3388-4-4-422-402-12-1040000000-2-2001100000000000
χ3488-4-4-422-402-12-10-400000002200-1-100000000000
χ358-88-8-42-240-424-200000000000000000000000000
χ368-8-442-44-20-121-2000023−2300000−330000000000000
χ378-8-442-44-20-121-20000−2323000003−30000000000000
χ388-8-44-42-2402-1-2100000000000003i−3i00000000000
χ398-8-44-42-2402-1-210000000000000−3i3i00000000000

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