Finite Group Databasebeta

← Group #11923046

Character table — Group #11923046

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11222334444666888888121212121616161616161616163636363672721122233444466688888812121212161616161616161616363636367272
order123462241212124663336664121212121212121212121212888844226462241212124666666664121212121212121212121212888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1
χ31111111-11-1-1111111111-11-1-1111-1-1-1-1-1-11111-1-11111111-11-1-1111111111-11-1-1111-1-1-1-1-1-11111-1-1
χ41111111-11-1-1111111111-11-1-1111-1-1-1-1-1-1-1-1-1-1111111111-11-1-1111111111-11-1-1111-1-1-1-1-1-1-1-1-1-111
χ522222222222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-100000022222222222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1000000
χ62222222-22-2-2222-1-1-1-1-1-1-22-2-2-1-1-11111110000002222222-22-2-2222-1-1-1-1-1-1-22-2-2-1-1-1111111000000
χ7222-22220-200-2222222220-200-2-2-2000000000000222-22220-200-2222222220-200-2-2-2000000000000
χ8222-22220-200-222-1-1-1-1-1-10-200111−i3−i3−i3i3i3i3000000222-22220-200-222-1-1-1-1-1-10-200111−i3−i3−i3i3i3i3000000
χ9222-22220-200-222-1-1-1-1-1-10-200111i3i3i3−i3−i3−i3000000222-22220-200-222-1-1-1-1-1-10-200111i3i3i3−i3−i3−i3000000
χ1022-12-1222-1-1-12-1-12-1-12-1-12-1-1-12-1-12-1-12-1-100000022-12-1222-1-1-12-1-12-1-12-1-12-1-1-12-1-12-1-12-1-1000000
χ1122-12-1222-1-1-12-1-1-12-1-12-12-1-1-1-12-1-12-1-12-100000022-12-1222-1-1-12-1-1-12-1-12-12-1-1-1-12-1-12-1-12-1000000
χ1222-12-1222-1-1-12-1-1-1-12-1-122-1-1-1-1-12-1-12-1-1200000022-12-1222-1-1-12-1-1-1-12-1-122-1-1-1-1-12-1-12-1-12000000
χ1322-12-122-2-1112-1-12-1-12-1-1-2-1112-1-1-211-21100000022-12-122-2-1112-1-12-1-12-1-1-2-1112-1-1-211-211000000
χ1422-12-122-2-1112-1-1-12-1-12-1-2-111-12-11-211-2100000022-12-122-2-1112-1-1-12-1-12-1-2-111-12-11-211-21000000
χ1522-12-122-2-1112-1-1-1-12-1-12-2-111-1-1211-211-200000022-12-122-2-1112-1-1-1-12-1-12-2-111-1-1211-211-2000000
χ1622-1-2-12201−i3i3-2-1-12-1-12-1-101−i3i3-2110−i3i30i3−i300000022-1-2-12201−i3i3-2-1-12-1-12-1-101−i3i3-2110−i3i30i3−i3000000
χ1722-1-2-12201−i3i3-2-1-1-12-1-12-101−i3i31-21i30−i3−i30i300000022-1-2-12201−i3i3-2-1-1-12-1-12-101−i3i31-21i30−i3−i30i3000000
χ1822-1-2-12201−i3i3-2-1-1-1-12-1-1201−i3i311-2−i3i30i3−i3000000022-1-2-12201−i3i3-2-1-1-1-12-1-1201−i3i311-2−i3i30i3−i30000000
χ1922-1-2-12201i3−i3-2-1-12-1-12-1-101i3−i3-2110i3−i30−i3i300000022-1-2-12201i3−i3-2-1-12-1-12-1-101i3−i3-2110i3−i30−i3i3000000
χ2022-1-2-12201i3−i3-2-1-1-12-1-12-101i3−i31-21−i30i3i30−i300000022-1-2-12201i3−i3-2-1-1-12-1-12-101i3−i31-21−i30i3i30−i3000000
χ2122-1-2-12201i3−i3-2-1-1-1-12-1-1201i3−i311-2i3−i30−i3i3000000022-1-2-12201i3−i3-2-1-1-1-12-1-1201i3−i311-2i3−i30−i3i30000000
χ222-220-22-2000002-2222-2-2-200000000000002−22−2002-220-22-2000002-2222-2-2-200000000000002−22−200
χ232-220-22-2000002-2222-2-2-20000000000000−22−22002-220-22-2000002-2222-2-2-20000000000000−22−2200
χ2433333-1-13333-1-1-1000000-1-1-1-100000000011-1-11-133333-1-13333-1-1-1000000-1-1-1-100000000011-1-11-1
χ2533333-1-13333-1-1-1000000-1-1-1-1000000000-1-111-1133333-1-13333-1-1-1000000-1-1-1-1000000000-1-111-11
χ2633333-1-1-33-3-3-1-1-10000001-11100000000011-1-1-1133333-1-1-33-3-3-1-1-10000001-11100000000011-1-1-11
χ2733333-1-1-33-3-3-1-1-10000001-111000000000-1-1111-133333-1-1-33-3-3-1-1-10000001-111000000000-1-1111-1
χ284-440-44-4000004-4-2-2-222200000000000000000004-440-44-4000004-4-2-2-22220000000000000000000
χ294-4-2024-400000-224-2-2-42200000000000000000004-4-2024-400000-224-2-2-4220000000000000000000
χ304-4-2024-400000-22-24-22-4200000000000000000004-4-2024-400000-22-24-22-420000000000000000000
χ314-4-2024-400000-22-2-2422-400000000000000000004-4-2024-400000-22-2-2422-40000000000000000000
χ32666-66-2-20-6002-2-20000000200000000000000000666-66-2-20-6002-2-20000000200000000000000000
χ3366-36-3-2-26-3-3-3-211000000-211100000000000000066-36-3-2-26-3-3-3-211000000-2111000000000000000
χ3466-36-3-2-2-6-333-21100000021-1-100000000000000066-36-3-2-2-6-333-21100000021-1-1000000000000000
χ3566-3-6-3-2-203−3i33i32110000000-1i3−i300000000000000066-3-6-3-2-203−3i33i32110000000-1i3−i3000000000000000
χ3666-3-6-3-2-2033i3−3i32110000000-1−i3i300000000000000066-3-6-3-2-2033i3−3i32110000000-1−i3i3000000000000000
χ376-660-6-2200000-2200000000000000000002−2−22006-660-6-2200000-2200000000000000000002−2−2200
χ386-660-6-2200000-220000000000000000000−222−2006-660-6-2200000-220000000000000000000−222−200
χ3912-12-606-44000002-2000000000000000000000000012-12-606-44000002-20000000000000000000000000
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
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ421111111-11-1-1111111111-11-1-1111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-11-111-1-1-1111111-1-1-1-111
χ431111111-11-1-1111111111-11-1-1111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-11-111-1-1-11111111111-1-1
χ4422222222222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111-2-2-2-2111111111000000
χ452222222-22-2-2222-1-1-1-1-1-1-22-2-2-1-1-1111111000000-2-2-2-2-2-2-22-222-2-2-21111112-222111-1-1-1-1-1-1000000
χ46222-22220-200-2222222220-200-2-2-2000000000000-2-2-22-2-2-202002-2-2-2-2-2-2-2-20200222000000000000
χ47222-22220-200-222-1-1-1-1-1-10-200111−i3−i3−i3i3i3i3000000-2-2-22-2-2-202002-2-21111110200-1-1-1i3i3i3−i3−i3−i3000000
χ48222-22220-200-222-1-1-1-1-1-10-200111i3i3i3−i3−i3−i3000000-2-2-22-2-2-202002-2-21111110200-1-1-1−i3−i3−i3i3i3i3000000
χ4922-12-1222-1-1-12-1-12-1-12-1-12-1-1-12-1-12-1-12-1-1000000-2-21-21-2-2-2111-211-211-211-2111-211-211-211000000
χ5022-12-1222-1-1-12-1-1-12-1-12-12-1-1-1-12-1-12-1-12-1000000-2-21-21-2-2-2111-2111-211-21-21111-211-211-21000000
χ5122-12-1222-1-1-12-1-1-1-12-1-122-1-1-1-1-12-1-12-1-12000000-2-21-21-2-2-2111-21111-211-2-211111-211-211-2000000
χ5222-12-122-2-1112-1-12-1-12-1-1-2-1112-1-1-211-211000000-2-21-21-2-221-1-1-211-211-21121-1-1-2112-1-12-1-1000000
χ5322-12-122-2-1112-1-1-12-1-12-1-2-111-12-11-211-21000000-2-21-21-2-221-1-1-2111-211-2121-1-11-21-12-1-12-1000000
χ5422-12-122-2-1112-1-1-1-12-1-12-2-111-1-1211-211-2000000-2-21-21-2-221-1-1-21111-211-221-1-111-2-1-12-1-12000000
χ5522-1-2-12201−i3i3-2-1-12-1-12-1-101−i3i3-2110−i3i30i3−i3000000-2-2121-2-20-1i3−i3211-211-2110-1i3−i32-1-10i3−i30−i3i3000000
χ5622-1-2-12201−i3i3-2-1-1-12-1-12-101−i3i31-21i30−i3−i30i3000000-2-2121-2-20-1i3−i32111-211-210-1i3−i3-12-1−i30i3i30−i3000000
χ5722-1-2-12201−i3i3-2-1-1-1-12-1-1201−i3i311-2−i3i30i3−i30000000-2-2121-2-20-1i3−i321111-211-20-1i3−i3-1-12i3−i30−i3i30000000
χ5822-1-2-12201i3−i3-2-1-12-1-12-1-101i3−i3-2110i3−i30−i3i3000000-2-2121-2-20-1−i3i3211-211-2110-1−i3i32-1-10−i3i30i3−i3000000
χ5922-1-2-12201i3−i3-2-1-1-12-1-12-101i3−i31-21−i30i3i30−i3000000-2-2121-2-20-1−i3i32111-211-210-1−i3i3-12-1i30−i3−i30i3000000
χ6022-1-2-12201i3−i3-2-1-1-1-12-1-1201i3−i311-2i3−i30−i3i30000000-2-2121-2-20-1−i3i321111-211-20-1−i3i3-1-12−i3i30i3−i30000000
χ612-220-22-2000002-2222-2-2-200000000000002−22−200-22-202-2200000-22-2-2-22220000000000000−22−2200
χ622-220-22-2000002-2222-2-2-20000000000000−22−2200-22-202-2200000-22-2-2-222200000000000002−22−200
χ6333333-1-13333-1-1-1000000-1-1-1-100000000011-1-11-1-3-3-3-3-311-3-3-3-31110000001111000000000-1-111-11
χ6433333-1-13333-1-1-1000000-1-1-1-1000000000-1-111-11-3-3-3-3-311-3-3-3-3111000000111100000000011-1-11-1
χ6533333-1-1-33-3-3-1-1-10000001-11100000000011-1-1-11-3-3-3-3-3113-333111000000-11-1-1000000000-1-1111-1
χ6633333-1-1-33-3-3-1-1-10000001-111000000000-1-1111-1-3-3-3-3-3113-333111000000-11-1-100000000011-1-1-11
χ674-440-44-4000004-4-2-2-22220000000000000000000-44-404-4400000-44222-2-2-20000000000000000000
χ684-4-2024-400000-224-2-2-4220000000000000000000-4420-2-44000002-2-4224-2-20000000000000000000
χ694-4-2024-400000-22-24-22-420000000000000000000-4420-2-44000002-22-42-24-20000000000000000000
χ704-4-2024-400000-22-2-2422-40000000000000000000-4420-2-44000002-222-4-2-240000000000000000000
χ71666-66-2-20-6002-2-20000000200000000000000000-6-6-66-6220600-2220000000-200000000000000000
χ7266-36-3-2-26-3-3-3-211000000-2111000000000000000-6-63-6322-63332-1-10000002-1-1-1000000000000000
χ7366-36-3-2-2-6-333-21100000021-1-1000000000000000-6-63-632263-3-32-1-1000000-2-111000000000000000
χ7466-3-6-3-2-203−3i33i32110000000-1i3−i3000000000000000-6-6363220-33i3−3i3-2-1-100000001−i3i3000000000000000
χ7566-3-6-3-2-2033i3−3i32110000000-1−i3i3000000000000000-6-6363220-3−3i33i3-2-1-100000001i3−i3000000000000000
χ766-660-6-2200000-2200000000000000000002−2−2200-66-6062-2000002-20000000000000000000−222−200
χ776-660-6-2200000-220000000000000000000−222−200-66-6062-2000002-200000000000000000002−2−2200
χ7812-12-606-44000002-20000000000000000000000000-121260-64-400000-220000000000000000000000000

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