Finite Group Databasebeta

← Group #13180599

Character table — Group #13180599

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size112244446888812121212121218242424242424242436363636363636365472108112244446888812121212121218242424242424242436363636363636365472108
order12363366233662466664666612121212226681224244682266666626666246666466661212121222668122424468
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-1111111111-1-1-1-11-111-11-1-11-1-111111111111111-1111111111-1-1-1-11-111-11-1-11-1-1
χ31111111111111-1111-1-11-11-1-11111-11-1-1-11-1-111-11111111111111-1111-1-11-11-1-11111-11-1-1-11-1-111-1
χ41111111111111-1-111-1-11-11-1-1-1-1-1-1-1-1-1-111111-111111111111111-1-111-1-11-11-1-1-1-1-1-1-1-1-1-111111-11
χ511111111-1111111-1-11111-1111111-1-1-1-11111-1-1-111111111-1111111-1-11111-1111111-1-1-1-11111-1-1-1
χ611111111-111111-1-1-11111-111-1-1-1-1-11-1-1-11-1-1-11111111111-111111-1-1-11111-111-1-1-1-1-11-1-1-11-1-1-111
χ711111111-11111-11-1-1-1-11-1-1-1-111111-111-11-1-1-1-1111111111-11111-11-1-1-1-11-1-1-1-111111-111-11-1-1-1-11
χ811111111-11111-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-11-111111111-11111-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-11-1
χ92222222222222002200-20200000000000-200-2002222222222222002200-20200000000000-200-200
χ1022222222-2222200-2-200-20-200000000000-20020022222222-2222200-2-200-20-200000000000-200200
χ1122-1-122220-1-1-1-12200222-10-1-1-12-1-100002-1-1-100022-1-122220-1-1-1-12200222-10-1-1-12-1-100002-1-1-1000
χ1222-1-122220-1-1-1-12-200222-10-1-11-2110000-2-11100022-1-122220-1-1-1-12-200222-10-1-11-2110000-2-111000
χ1322-1-122220-1-1-1-1-2200-2-221011-12-1-10000-2-11100022-1-122220-1-1-1-1-2200-2-221011-12-1-10000-2-111000
χ1422-1-122220-1-1-1-1-2-200-2-2210111-21100002-1-1-100022-1-122220-1-1-1-1-2-200-2-2210111-21100002-1-1-1000
χ1544441-2-2141-2-2102-2-200001002-1-1-1020000000-1044441-2-2141-2-2102-2-200001002-1-1-1020000000-10
χ1644441-2-2141-2-210-2-2-20000100-21110-200000001044441-2-2141-2-210-2-2-20000100-21110-2000000010
χ1744441-2-21-41-2-2102220000-1002-1-1-10-200000001044441-2-21-41-2-2102220000-1002-1-1-10-2000000010
χ1844441-2-21-41-2-210-2220000-100-2111020000000-1044441-2-21-41-2-210-2220000-100-2111020000000-10
χ194444-211-24-211-22011-1-102-2-1-1000020-1-100000004444-211-24-211-22011-1-102-2-1-1000020-1-10000000
χ204444-211-24-211-2-2011110-2-2110000-201100000004444-211-24-211-2-2011110-2-2110000-20110000000
χ214444-211-2-4-211-220-1-1-1-1022-1-10000-201100000004444-211-2-4-211-220-1-1-1-1022-1-10000-20110000000
χ224444-211-2-4-211-2-20-1-1110-2211000020-1-100000004444-211-2-4-211-2-20-1-1110-2211000020-1-10000000
χ2344-2-244440-2-2-2-2000000-4000000000000020000044-2-244440-2-2-2-2000000-40000000000000200000
χ244-44-444-4-4044-4-4000000000000000000000000004-44-444-4-4044-4-400000000000000000000000000
χ254-44-4-21-120-21-12003-3−i3i3000−i3i3000000−i3i300000004-44-4-21-120-21-12003-3−i3i3000−i3i3000000−i3i30000000
χ264-44-4-21-120-21-12003-3i3−i3000i3−i3000000i3−i300000004-44-4-21-120-21-12003-3i3−i3000i3−i3000000i3−i30000000
χ274-44-4-21-120-21-1200-33−i3i3000−i3i3000000i3−i300000004-44-4-21-120-21-1200-33−i3i3000−i3i3000000i3−i30000000
χ284-44-4-21-120-21-1200-33i3−i3000i3−i3000000−i3i300000004-44-4-21-120-21-1200-33i3−i3000i3−i3000000−i3i30000000
χ294-4-2244-4-40-2-2220000000000000000000006−60004-4-2244-4-40-2-2220000000000000000000006−6000
χ304-4-2244-4-40-2-222000000000000000000000−660004-4-2244-4-40-2-222000000000000000000000−66000
χ3188-4-42-4-420-122-104000000000-2-2110000000000088-4-42-4-420-122-104000000000-2-21100000000000
χ3288-4-42-4-420-122-10-400000000022-1-10000000000088-4-42-4-420-122-10-400000000022-1-100000000000
χ3388-4-4-422-402-1-124000-2-20-201100000000000000088-4-4-422-402-1-124000-2-20-2011000000000000000
χ3488-4-4-422-402-1-12-400022020-1-100000000000000088-4-4-422-402-1-12-400022020-1-1000000000000000
χ358-88-82-44-202-44-2000000000000000000000000008-88-82-44-202-44-200000000000000000000000000
χ368-8-442-44-20-12-2100000000000003i−3i000000000008-8-442-44-20-12-2100000000000003i−3i00000000000
χ378-8-442-44-20-12-210000000000000−3i3i000000000008-8-442-44-20-12-210000000000000−3i3i00000000000
χ388-8-44-42-2402-11-20000−2i32i3000i3−i30000000000000008-8-44-42-2402-11-20000−2i32i3000i3−i3000000000000000
χ398-8-44-42-2402-11-200002i3−2i3000−i3i30000000000000008-8-44-42-2402-11-200002i3−2i3000−i3i3000000000000000
χ40111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111-1111111111-1-1-1-11-111-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-11111-11-1-11-111-111
χ421111111111111-1111-1-11-11-1-11111-11-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111-11-111-1-1-1-11-1111-111-1-11
χ431111111111111-1-111-1-11-11-1-1-1-1-1-1-1-1-1-111111-11-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-11111111111-1-1-1-1-11-1
χ4411111111-1111111-1-11111-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1111
χ4511111111-111111-1-1-11111-111-1-1-1-1-11-1-1-11-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-11-1-111111-1111-1111-1-1
χ4611111111-11111-11-1-1-1-11-1-1-1-111111-111-11-1-1-1-11-1-1-1-1-1-1-1-11-1-1-1-11-11111-11111-1-1-1-1-11-1-11-11111-1
χ4711111111-11111-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-11-1-1-1-1-1-1-1-1-11-1-1-1-1111111-111111111-1-1-1-1-1-1-1-11-11
χ482222222222222002200-20200000000000-200-200-2-2-2-2-2-2-2-2-2-2-2-2-200-2-20020-200000000000200200
χ4922222222-2222200-2-200-20-200000000000-200200-2-2-2-2-2-2-2-22-2-2-2-200220020200000000000200-200
χ5022-1-122220-1-1-1-12200222-10-1-1-12-1-100002-1-1-1000-2-211-2-2-2-201111-2-200-2-2-210111-2110000-2111000
χ5122-1-122220-1-1-1-12-200222-10-1-11-2110000-2-111000-2-211-2-2-2-201111-2200-2-2-21011-12-1-1000021-1-1000
χ5222-1-122220-1-1-1-1-2200-2-221011-12-1-10000-2-111000-2-211-2-2-2-2011112-20022-2-10-1-11-211000021-1-1000
χ5322-1-122220-1-1-1-1-2-200-2-2210111-21100002-1-1-1000-2-211-2-2-2-201111220022-2-10-1-1-12-1-10000-2111000
χ5444441-2-2141-2-2102-2-200001002-1-1-1020000000-10-4-4-4-4-122-1-4-122-10-2220000-100-21110-2000000010
χ5544441-2-2141-2-210-2-2-20000100-21110-2000000010-4-4-4-4-122-1-4-122-102220000-1002-1-1-1020000000-10
χ5644441-2-21-41-2-2102220000-1002-1-1-10-2000000010-4-4-4-4-122-14-122-10-2-2-20000100-2111020000000-10
χ5744441-2-21-41-2-210-2220000-100-2111020000000-10-4-4-4-4-122-14-122-102-2-200001002-1-1-10-2000000010
χ584444-211-24-211-22011-1-102-2-1-1000020-1-10000000-4-4-4-42-1-12-42-1-12-20-1-1110-22110000-20110000000
χ594444-211-24-211-2-2011110-2-2110000-20110000000-4-4-4-42-1-12-42-1-1220-1-1-1-1022-1-1000020-1-10000000
χ604444-211-2-4-211-220-1-1-1-1022-1-10000-20110000000-4-4-4-42-1-1242-1-12-2011110-2-211000020-1-10000000
χ614444-211-2-4-211-2-20-1-1110-2211000020-1-10000000-4-4-4-42-1-1242-1-122011-1-102-2-1-10000-20110000000
χ6244-2-244440-2-2-2-2000000-40000000000000200000-4-422-4-4-4-40222200000040000000000000-200000
χ634-44-444-4-4044-4-400000000000000000000000000-44-44-4-4440-4-44400000000000000000000000000
χ644-44-4-21-120-21-12003-3−i3i3000−i3i3000000−i3i30000000-44-442-11-202-11-200-33i3−i3000i3−i3000000i3−i30000000
χ654-44-4-21-120-21-12003-3i3−i3000i3−i3000000i3−i30000000-44-442-11-202-11-200-33−i3i3000−i3i3000000−i3i30000000
χ664-44-4-21-120-21-1200-33−i3i3000−i3i3000000i3−i30000000-44-442-11-202-11-2003-3i3−i3000i3−i3000000−i3i30000000
χ674-44-4-21-120-21-1200-33i3−i3000i3−i3000000−i3i30000000-44-442-11-202-11-2003-3−i3i3000−i3i3000000i3−i30000000
χ684-4-2244-4-40-2-2220000000000000000000006−6000-442-2-4-444022-2-2000000000000000000000−66000
χ694-4-2244-4-40-2-222000000000000000000000−66000-442-2-4-444022-2-20000000000000000000006−6000
χ7088-4-42-4-420-122-104000000000-2-21100000000000-8-844-244-201-2-210-400000000022-1-100000000000
χ7188-4-42-4-420-122-10-400000000022-1-100000000000-8-844-244-201-2-2104000000000-2-21100000000000
χ7288-4-4-422-402-1-124000-2-20-2011000000000000000-8-8444-2-240-211-2-400022020-1-1000000000000000
χ7388-4-4-422-402-1-12-400022020-1-1000000000000000-8-8444-2-240-211-24000-2-20-2011000000000000000
χ748-88-82-44-202-44-200000000000000000000000000-88-88-24-420-24-4200000000000000000000000000
χ758-8-442-44-20-12-2100000000000003i−3i00000000000-884-4-24-4201-22-10000000000000−3i3i00000000000
χ768-8-442-44-20-12-210000000000000−3i3i00000000000-884-4-24-4201-22-100000000000003i−3i00000000000
χ778-8-44-42-2402-11-20000−2i32i3000i3−i3000000000000000-884-44-22-40-21-1200002i3−2i3000−i3i3000000000000000
χ788-8-44-42-2402-11-200002i3−2i3000−i3i3000000000000000-884-44-22-40-21-120000−2i32i3000i3−i3000000000000000

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