Finite Group Databasebeta

← Group #13180562

Character table — Group #13180562

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size112244446888899121212121212181818182424242424242424363636365454547272112244446888899121212121212181818182424242424242424363636365454547272
order12363366433662224661212446666612121212122412124446122266666646666222466121244666661212121212241212444612
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111-111-1-1-1-11111111-1-1-11-1-1-11-1-11-11111111111111111-111-1-1-1-11111111-1-1-11-1-1-11-1-11-1
χ3111111111111111-11-1-111-1-111-1-1-111111-11-1-11-1-1-11111111111111111-11-1-111-1-111-1-1-111111-11-1-11-1-1-11
χ4111111111111111-1-1-1-1-1-11111-1-1-111-1-1-1-1-111111-1-1111111111111111-1-1-1-1-1-11111-1-1-111-1-1-1-1-111111-1-1
χ511111111-11111111111111111111-1-1111-1-111-1-1-1-1-111111111-11111111111111111111-1-1111-1-111-1-1-1-1-1
χ611111111-11111111-111-1-1-1-111111-1-1-1-1-1-11-1-1-111-1111111111-11111111-111-1-1-1-111111-1-1-1-1-1-11-1-1-111-11
χ711111111-1111111-11-1-111-1-111-1-1-1-1-11111-1-1-1-1111-111111111-1111111-11-1-111-1-111-1-1-1-1-11111-1-1-1-1111-1
χ811111111-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-11111111111-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-111
χ92222222222222-2-200000000-2-2000220000000-200002222222222222-2-200000000-2-2000220000000-20000
χ1022222222-22222-2-200000000-2-2000-2-200000002000022222222-22222-2-200000000-2-2000-2-2000000020000
χ1122-1-122220-1-1-1-12222-1-1-1-122-1-12-1-1002-1-100-1-10000022-1-122220-1-1-1-12222-1-1-1-122-1-12-1-1002-1-100-1-100000
χ1222-1-122220-1-1-1-1222-2-1-111-2-2-1-12-1-100-21100110000022-1-122220-1-1-1-1222-2-1-111-2-2-1-12-1-100-211001100000
χ1322-1-122220-1-1-1-122-2211-1-1-2-2-1-1-211002-1-100110000022-1-122220-1-1-1-122-2211-1-1-2-2-1-1-211002-1-1001100000
χ1422-1-122220-1-1-1-122-2-2111122-1-1-21100-21100-1-10000022-1-122220-1-1-1-122-2-2111122-1-1-21100-21100-1-100000
χ152-22-222-2-2022-2-22-200000000-2200000000000002i−2i002-22-222-2-2022-2-22-200000000-2200000000000002i−2i00
χ162-22-222-2-2022-2-22-200000000-220000000000000−2i2i002-22-222-2-2022-2-22-200000000-220000000000000−2i2i00
χ172-22-222-2-2022-2-2-220000002i−2i2-200000000002i−2i000002-22-222-2-2022-2-2-220000002i−2i2-200000000002i−2i00000
χ182-22-222-2-2022-2-2-22000000−2i2i2-20000000000−2i2i000002-22-222-2-2022-2-2-22000000−2i2i2-20000000000−2i2i00000
χ192-2-1122-2-20-1-111-2200−i3i33−32i−2i-110−i3i30003−300−ii000002-2-1122-2-20-1-111-2200−i3i33−32i−2i-110−i3i30003−300−ii00000
χ202-2-1122-2-20-1-111-2200−i3i3−33−2i2i-110−i3i3000−3300i−i000002-2-1122-2-20-1-111-2200−i3i3−33−2i2i-110−i3i3000−3300i−i00000
χ212-2-1122-2-20-1-111-2200i3−i33−3−2i2i-110i3−i30003−300i−i000002-2-1122-2-20-1-111-2200i3−i33−3−2i2i-110i3−i30003−300i−i00000
χ222-2-1122-2-20-1-111-2200i3−i3−332i−2i-110i3−i3000−3300−ii000002-2-1122-2-20-1-111-2200i3−i3−332i−2i-110i3−i3000−3300−ii00000
χ2344441-2-2141-2-21000200220000000-21-1-1-102000000-144441-2-2141-2-21000200220000000-21-1-1-102000000-1
χ2444441-2-2141-2-21000-200-2-20000000-211110-2000000144441-2-2141-2-21000-200-2-20000000-211110-20000001
χ2544441-2-21-41-2-210002002200000002-1-1-1-10-2000000144441-2-21-41-2-210002002200000002-1-1-1-10-20000001
χ2644441-2-21-41-2-21000-200-2-200000002-111102000000-144441-2-21-41-2-21000-200-2-200000002-111102000000-1
χ274444-211-24-211-2002022000000-1-1-11-20002000000-104444-211-24-211-2002022000000-1-1-11-20002000000-10
χ284444-211-24-211-200-20-2-20000001111-2000-2000000104444-211-24-211-200-20-2-20000001111-2000-200000010
χ294444-211-2-4-211-2002022000000-1-1-1-12000-2000000104444-211-2-4-211-2002022000000-1-1-1-12000-200000010
χ304444-211-2-4-211-200-20-2-2000000111-120002000000-104444-211-2-4-211-200-20-2-2000000111-120002000000-10
χ3144-2-244440-2-2-2-2-4-400000000220000000000000000044-2-244440-2-2-2-2-4-4000000002200000000000000000
χ324-4-2244-4-40-2-2224-4000000002-2000000000000000004-4-2244-4-40-2-2224-4000000002-200000000000000000
χ3388-4-42-4-420-122-1000400-2-2000000000-21100000000088-4-42-4-420-122-1000400-2-2000000000-211000000000
χ3488-4-42-4-420-122-1000-400220000000002-1-100000000088-4-42-4-420-122-1000-400220000000002-1-1000000000
χ3588-4-4-422-402-1-120040-2-2000000-2110000000000000088-4-4-422-402-1-120040-2-2000000-21100000000000000
χ3688-4-4-422-402-1-1200-40220000002-1-10000000000000088-4-4-422-402-1-1200-40220000002-1-100000000000000
χ378-88-82-44-202-44-2000000000000000000000000000008-88-82-44-202-44-200000000000000000000000000000
χ388-88-8-42-240-42-24000000000000000000000000000008-88-8-42-240-42-2400000000000000000000000000000
χ398-8-442-44-20-12-2100000023−230000000000−330000000008-8-442-44-20-12-2100000023−230000000000−33000000000
χ408-8-442-44-20-12-21000000−232300000000003−30000000008-8-442-44-20-12-21000000−232300000000003−3000000000
χ418-8-44-42-2402-11-20000−2i32i30000000i3−i3000000000000008-8-44-42-2402-11-20000−2i32i30000000i3−i300000000000000
χ428-8-44-42-2402-11-200002i3−2i30000000−i3i3000000000000008-8-44-42-2402-11-200002i3−2i30000000−i3i300000000000000
χ43111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ441111111111111111-111-1-1-1-11111111-1-1-11-1-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1111-1111-111-11
χ45111111111111111-11-1-111-1-111-1-1-111111-11-1-11-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1111-1-1-1-1-11-111-1111-1
χ46111111111111111-1-1-1-1-1-11111-1-1-111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-111111-1-1-1-1-111
χ4711111111-11111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-111111
χ4811111111-11111111-111-1-1-1-111111-1-1-1-1-1-11-1-1-111-11-1-1-1-1-1-1-1-11-1-1-1-1-1-1-11-1-11111-1-1-1-1-1111111-1111-1-11-1
χ4911111111-1111111-11-1-111-1-111-1-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11-111-1-111-1-111111-1-1-1-11111-1-1-11
χ5011111111-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1111-1-1
χ512222222222222-2-200000000-2-2000220000000-20000-2-2-2-2-2-2-2-2-2-2-2-2-2220000000022000-2-2000000020000
χ5222222222-22222-2-200000000-2-2000-2-2000000020000-2-2-2-2-2-2-2-22-2-2-2-2220000000022000220000000-20000
χ5322-1-122220-1-1-1-12222-1-1-1-122-1-12-1-1002-1-100-1-100000-2-211-2-2-2-201111-2-2-2-21111-2-211-21100-211001100000
χ5422-1-122220-1-1-1-1222-2-1-111-2-2-1-12-1-100-211001100000-2-211-2-2-2-201111-2-2-2211-1-12211-211002-1-100-1-100000
χ5522-1-122220-1-1-1-122-2211-1-1-2-2-1-1-211002-1-1001100000-2-211-2-2-2-201111-2-22-2-1-11122112-1-100-21100-1-100000
χ5622-1-122220-1-1-1-122-2-2111122-1-1-21100-21100-1-100000-2-211-2-2-2-201111-2-222-1-1-1-1-2-2112-1-1002-1-1001100000
χ572-22-222-2-2022-2-22-200000000-2200000000000002i−2i00-22-22-2-2220-2-222-22000000002-20000000000000−2i2i00
χ582-22-222-2-2022-2-22-200000000-220000000000000−2i2i00-22-22-2-2220-2-222-22000000002-200000000000002i−2i00
χ592-22-222-2-2022-2-2-220000002i−2i2-200000000002i−2i00000-22-22-2-2220-2-2222-2000000−2i2i-220000000000−2i2i00000
χ602-22-222-2-2022-2-2-22000000−2i2i2-20000000000−2i2i00000-22-22-2-2220-2-2222-20000002i−2i-2200000000002i−2i00000
χ612-2-1122-2-20-1-111-2200−i3i33−32i−2i-110−i3i30003−300−ii00000-221-1-2-222011-1-12-200i3−i3−33−2i2i1-10i3−i3000−3300i−i00000
χ622-2-1122-2-20-1-111-2200−i3i3−33−2i2i-110−i3i3000−3300i−i00000-221-1-2-222011-1-12-200i3−i33−32i−2i1-10i3−i30003−300−ii00000
χ632-2-1122-2-20-1-111-2200i3−i33−3−2i2i-110i3−i30003−300i−i00000-221-1-2-222011-1-12-200−i3i3−332i−2i1-10−i3i3000−3300−ii00000
χ642-2-1122-2-20-1-111-2200i3−i3−332i−2i-110i3−i3000−3300−ii00000-221-1-2-222011-1-12-200−i3i33−3−2i2i1-10−i3i30003−300i−i00000
χ6544441-2-2141-2-21000200220000000-21-1-1-102000000-1-4-4-4-4-122-1-4-122-1000-200-2-200000002-11110-20000001
χ6644441-2-2141-2-21000-200-2-20000000-211110-20000001-4-4-4-4-122-1-4-122-10002002200000002-1-1-1-102000000-1
χ6744441-2-21-41-2-210002002200000002-1-1-1-10-20000001-4-4-4-4-122-14-122-1000-200-2-20000000-2111102000000-1
χ6844441-2-21-41-2-21000-200-2-200000002-111102000000-1-4-4-4-4-122-14-122-1000200220000000-21-1-1-10-20000001
χ694444-211-24-211-2002022000000-1-1-11-20002000000-10-4-4-4-42-1-12-42-1-1200-20-2-2000000111-12000-200000010
χ704444-211-24-211-200-20-2-20000001111-2000-200000010-4-4-4-42-1-12-42-1-12002022000000-1-1-1-120002000000-10
χ714444-211-2-4-211-2002022000000-1-1-1-12000-200000010-4-4-4-42-1-1242-1-1200-20-2-20000001111-20002000000-10
χ724444-211-2-4-211-200-20-2-2000000111-120002000000-10-4-4-4-42-1-1242-1-12002022000000-1-1-11-2000-200000010
χ7344-2-244440-2-2-2-2-4-4000000002200000000000000000-4-422-4-4-4-4022224400000000-2-200000000000000000
χ744-4-2244-4-40-2-2224-4000000002-200000000000000000-442-2-4-444022-2-2-4400000000-2200000000000000000
χ7588-4-42-4-420-122-1000400-2-2000000000-211000000000-8-844-244-201-2-21000-400220000000002-1-1000000000
χ7688-4-42-4-420-122-1000-400220000000002-1-1000000000-8-844-244-201-2-21000400-2-2000000000-211000000000
χ7788-4-4-422-402-1-120040-2-2000000-21100000000000000-8-8444-2-240-211-200-40220000002-1-100000000000000
χ7888-4-4-422-402-1-1200-40220000002-1-100000000000000-8-8444-2-240-211-20040-2-2000000-21100000000000000
χ798-88-82-44-202-44-200000000000000000000000000000-88-88-24-420-24-4200000000000000000000000000000
χ808-88-8-42-240-42-2400000000000000000000000000000-88-884-22-404-22-400000000000000000000000000000
χ818-8-442-44-20-12-2100000023−230000000000−33000000000-884-4-24-4201-22-1000000−232300000000003−3000000000
χ828-8-442-44-20-12-21000000−232300000000003−3000000000-884-4-24-4201-22-100000023−230000000000−33000000000
χ838-8-44-42-2402-11-20000−2i32i30000000i3−i300000000000000-884-44-22-40-21-1200002i3−2i30000000−i3i300000000000000
χ848-8-44-42-2402-11-200002i3−2i30000000−i3i300000000000000-884-44-22-40-21-120000−2i32i30000000i3−i300000000000000

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