Finite Group Databasebeta

← Group #13180576

Character table — Group #13180576

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1122444468888121218181824242424242424242424272736363636365454727211224444688881212181818242424242424242424242727363636363654547272
order12363366433662448866661212121212122224122424886122266666646666244886666121212121212222412242488612
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-11-1-11111-111-1-1-1111-11-1-1-1-11-111111111111111-11-1-11111-111-1-1-1111-11-1-1-1-11-1
χ31111111111111-111-1-1-1-1-1-111111111-111-1-1-1-1-111111111111111-111-1-1-1-1-1-111111111-111-1-1-1-1-11
χ41111111111111-1-1111-1-1-1-1-111-1-1-111-1-111111-1-11111111111111-1-1111-1-1-1-1-111-1-1-111-1-111111-1-1
χ511111111-111111111111111-1-1111-1-1-1-1111-1-1-1-111111111-111111111111111-1-1111-1-1-1-1111-1-1-1-1
χ611111111-111111-11-1-11111-1-1-1-1-1-1-1-1-111-1-111-1111111111-111111-11-1-11111-1-1-1-1-1-1-1-1-111-1-111-11
χ711111111-11111-111-1-1-1-1-1-11-1-1111-1-11-11-1-1111-111111111-11111-111-1-1-1-1-1-11-1-1111-1-11-11-1-1111-1
χ811111111-11111-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111111111-11111-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111
χ9222222222222200-2000000022000-2-200-2000000222222222222200-2000000022000-2-200-2000000
χ1022222222-2222200-20000000-2-20002200-200000022222222-2222200-20000000-2-20002200-2000000
χ1122-1-122220-1-1-1-122222-12-1-1-1002-1-10000-1-1-1000022-1-122220-1-1-1-122222-12-1-1-1002-1-10000-1-1-10000
χ1222-1-122220-1-1-1-12-22-2-2-12-1-1100-2110000-111000022-1-122220-1-1-1-12-22-2-2-12-1-1100-2110000-1110000
χ1322-1-122220-1-1-1-1-222-2-21-211-1002-1-10000-111000022-1-122220-1-1-1-1-222-2-21-211-1002-1-10000-1110000
χ1422-1-122220-1-1-1-1-2-22221-211100-2110000-1-1-1000022-1-122220-1-1-1-1-2-22221-211100-2110000-1-1-10000
χ152-22-222-2-2022-2-2000i2−i200000000002-2000i2−i2i2−i2002-22-222-2-2022-2-2000i2−i200000000002-2000i2−i2i2−i200
χ162-22-222-2-2022-2-2000i2−i20000000000-22000i2−i2−i2i2002-22-222-2-2022-2-2000i2−i20000000000-22000i2−i2−i2i200
χ172-22-222-2-2022-2-2000−i2i200000000002-2000−i2i2−i2i2002-22-222-2-2022-2-2000−i2i200000000002-2000−i2i2−i2i200
χ182-22-222-2-2022-2-2000−i2i20000000000-22000−i2i2i2−i2002-22-222-2-2022-2-2000−i2i20000000000-22000−i2i2i2−i200
χ1944441-2-2141-2-210200000002-21-1-1-10002000000-144441-2-2141-2-210200000002-21-1-1-10002000000-1
χ2044441-2-2141-2-210-20000000-2-21111000-2000000144441-2-2141-2-210-20000000-2-21111000-20000001
χ2144441-2-21-41-2-2102000000022-1-1-1-1000-2000000144441-2-21-41-2-2102000000022-1-1-1-1000-20000001
χ2244441-2-21-41-2-210-20000000-22-11110002000000-144441-2-21-41-2-210-20000000-22-11110002000000-1
χ234444-211-24-211-2200002-1-1-101-2000002000000-104444-211-24-211-2200002-1-1-101-2000002000000-10
χ244444-211-24-211-2-20000-211101-200000-2000000104444-211-24-211-2-20000-211101-200000-200000010
χ254444-211-2-4-211-2200002-1-1-10-1200000-2000000104444-211-2-4-211-2200002-1-1-10-1200000-200000010
χ264444-211-2-4-211-2-20000-21110-12000002000000-104444-211-2-4-211-2-20000-21110-12000002000000-10
χ2744-2-244440-2-2-2-200-40000000000000000200000044-2-244440-2-2-2-200-400000000000000002000000
χ284-4-2244-4-40-2-2220002i2−2i2000000000000000−i2i200004-4-2244-4-40-2-2220002i2−2i2000000000000000−i2i20000
χ294-4-2244-4-40-2-222000−2i22i2000000000000000i2−i200004-4-2244-4-40-2-222000−2i22i2000000000000000i2−i20000
χ3088-4-42-4-420-122-1040000000-200-2110000000000088-4-42-4-420-122-1040000000-200-21100000000000
χ3188-4-42-4-420-122-10-400000002002-1-10000000000088-4-42-4-420-122-10-400000002002-1-100000000000
χ3288-4-4-422-402-1-1240000-2-2110000000000000000088-4-4-422-402-1-1240000-2-21100000000000000000
χ3388-4-4-422-402-1-12-4000022-1-10000000000000000088-4-4-422-402-1-12-4000022-1-100000000000000000
χ348-88-82-44-202-44-2000000000000000000000000008-88-82-44-202-44-200000000000000000000000000
χ358-88-8-42-240-42-24000000000000000000000000008-88-8-42-240-42-2400000000000000000000000000
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
χ388-8-44-42-2402-11-200000003-3000000000000000008-8-44-42-2402-11-200000003-300000000000000000
χ398-8-44-42-2402-11-20000000-33000000000000000008-8-44-42-2402-11-20000000-3300000000000000000
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
χ4111111111111111-11-1-11111-111-1-1-1111-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-11-1-1111-1-1-11-11111-11
χ421111111111111-111-1-1-1-1-1-111111111-111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-1-1-1-1-1-1-11-1-111111-1
χ431111111111111-1-1111-1-1-1-1-111-1-1-111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111111-1-1111-1-111-1-1-1-1-111
χ4411111111-111111111111111-1-1111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-11111
χ4511111111-111111-11-1-11111-1-1-1-1-1-1-1-1-111-1-111-11-1-1-1-1-1-1-1-11-1-1-1-1-11-111-1-1-1-1111111111-1-111-1-11-1
χ4611111111-11111-111-1-1-1-1-1-11-1-1111-1-11-11-1-1111-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1111111-111-1-1-111-11-111-1-1-11
χ4711111111-11111-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1111111111111-1-1-1-1-111-1-1
χ48222222222222200-2000000022000-2-200-2000000-2-2-2-2-2-2-2-2-2-2-2-2-20020000000-2-200022002000000
χ4922222222-2222200-20000000-2-20002200-2000000-2-2-2-2-2-2-2-22-2-2-2-2002000000022000-2-2002000000
χ5022-1-122220-1-1-1-122222-12-1-1-1002-1-10000-1-1-10000-2-211-2-2-2-201111-2-2-2-2-21-211100-21100001110000
χ5122-1-122220-1-1-1-12-22-2-2-12-1-1100-2110000-1110000-2-211-2-2-2-201111-22-2221-211-1002-1-100001-1-10000
χ5222-1-122220-1-1-1-1-222-2-21-211-1002-1-10000-1110000-2-211-2-2-2-2011112-2-222-12-1-1100-21100001-1-10000
χ5322-1-122220-1-1-1-1-2-22221-211100-2110000-1-1-10000-2-211-2-2-2-20111122-2-2-2-12-1-1-1002-1-100001110000
χ542-22-222-2-2022-2-2000i2−i200000000002-2000i2−i2i2−i200-22-22-2-2220-2-222000−i2i20000000000-22000−i2i2−i2i200
χ552-22-222-2-2022-2-2000i2−i20000000000-22000i2−i2−i2i200-22-22-2-2220-2-222000−i2i200000000002-2000−i2i2i2−i200
χ562-22-222-2-2022-2-2000−i2i200000000002-2000−i2i2−i2i200-22-22-2-2220-2-222000i2−i20000000000-22000i2−i2i2−i200
χ572-22-222-2-2022-2-2000−i2i20000000000-22000−i2i2i2−i200-22-22-2-2220-2-222000i2−i200000000002-2000i2−i2−i2i200
χ5844441-2-2141-2-210200000002-21-1-1-10002000000-1-4-4-4-4-122-1-4-122-10-20000000-22-1111000-20000001
χ5944441-2-2141-2-210-20000000-2-21111000-20000001-4-4-4-4-122-1-4-122-102000000022-1-1-1-10002000000-1
χ6044441-2-21-41-2-2102000000022-1-1-1-1000-20000001-4-4-4-4-122-14-122-10-20000000-2-211110002000000-1
χ6144441-2-21-41-2-210-20000000-22-11110002000000-1-4-4-4-4-122-14-122-10200000002-21-1-1-1000-20000001
χ624444-211-24-211-2200002-1-1-101-2000002000000-10-4-4-4-42-1-12-42-1-12-20000-21110-1200000-200000010
χ634444-211-24-211-2-20000-211101-200000-200000010-4-4-4-42-1-12-42-1-12200002-1-1-10-12000002000000-10
χ644444-211-2-4-211-2200002-1-1-10-1200000-200000010-4-4-4-42-1-1242-1-12-20000-211101-2000002000000-10
χ654444-211-2-4-211-2-20000-21110-12000002000000-10-4-4-4-42-1-1242-1-12200002-1-1-101-200000-200000010
χ6644-2-244440-2-2-2-200-400000000000000002000000-4-422-4-4-4-4022220040000000000000000-2000000
χ674-4-2244-4-40-2-2220002i2−2i2000000000000000−i2i20000-442-2-4-444022-2-2000−2i22i2000000000000000i2−i20000
χ684-4-2244-4-40-2-222000−2i22i2000000000000000i2−i20000-442-2-4-444022-2-20002i2−2i2000000000000000−i2i20000
χ6988-4-42-4-420-122-1040000000-200-21100000000000-8-844-244-201-2-210-400000002002-1-100000000000
χ7088-4-42-4-420-122-10-400000002002-1-100000000000-8-844-244-201-2-21040000000-200-21100000000000
χ7188-4-4-422-402-1-1240000-2-21100000000000000000-8-8444-2-240-211-2-4000022-1-100000000000000000
χ7288-4-4-422-402-1-12-4000022-1-100000000000000000-8-8444-2-240-211-240000-2-21100000000000000000
χ738-88-82-44-202-44-200000000000000000000000000-88-88-24-420-24-4200000000000000000000000000
χ748-88-8-42-240-42-2400000000000000000000000000-88-884-22-404-22-400000000000000000000000000
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
χ778-8-44-42-2402-11-200000003-300000000000000000-884-44-22-40-21-120000000-3300000000000000000
χ788-8-44-42-2402-11-20000000-3300000000000000000-884-44-22-40-21-1200000003-300000000000000000

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