Finite Group Databasebeta

← Group #13180589

Character table — Group #13180589

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1122444468888121218181824242424242424242424272736363636365454727211224444688881212181818242424242424242424242727363636363654547272
order1236336623366244886666661212121244241224248861222666666266662448866666612121212442412242488612
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-11-1-1111111-1-1-1-111-111-1-1-1-1-1111111111111111-11-1-1111111-1-1-1-111-111-1-1-1-1-11
χ31111111111111-111-1-1-11-11-1-11111111-11-1-1-1-11-11111111111111-111-1-1-11-11-1-11111111-11-1-1-1-11-1
χ41111111111111-1-1111-11-11-1-1-1-1-1-111-1-111111-1-11111111111111-1-1111-11-11-1-1-1-1-1-111-1-111111-1-1
χ511111111-11111111111-11-1111111-1-1-1-1111-1-1-1-111111111-11111111111-11-1111111-1-1-1-1111-1-1-1-1
χ611111111-111111-11-1-11-11-111-1-1-1-1-1-11-11-1-1111-111111111-111111-11-1-11-11-111-1-1-1-1-1-11-11-1-1111-1
χ711111111-11111-111-1-1-1-1-1-1-1-11111-1-1-111-1-111-1111111111-11111-111-1-1-1-1-1-1-1-11111-1-1-111-1-111-11
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
χ9222222222222200-2000202000000-2-200-2000000222222222222200-2000202000000-2-200-2000000
χ1022222222-2222200-2000-20-20000002200-200000022222222-2222200-2000-20-20000002200-2000000
χ1122-1-122220-1-1-1-122222-1020-1-1-12-1-10000-1-1-1000022-1-122220-1-1-1-122222-1020-1-1-12-1-10000-1-1-10000
χ1222-1-122220-1-1-1-12-22-2-2-1020-1-11-2110000-111000022-1-122220-1-1-1-12-22-2-2-1020-1-11-2110000-1110000
χ1322-1-122220-1-1-1-1-222-2-210-2011-12-1-10000-111000022-1-122220-1-1-1-1-222-2-210-2011-12-1-10000-1110000
χ1422-1-122220-1-1-1-1-2-222210-20111-2110000-1-1-1000022-1-122220-1-1-1-1-2-222210-20111-2110000-1-1-10000
χ152-22-222-2-2022-2-2000i2−i200000000002i−2i000i2−i22−2002-22-222-2-2022-2-2000i2−i200000000002i−2i000i2−i22−200
χ162-22-222-2-2022-2-2000i2−i20000000000−2i2i000i2−i2−22002-22-222-2-2022-2-2000i2−i20000000000−2i2i000i2−i2−2200
χ172-22-222-2-2022-2-2000−i2i200000000002i−2i000−i2i2−22002-22-222-2-2022-2-2000−i2i200000000002i−2i000−i2i2−2200
χ182-22-222-2-2022-2-2000−i2i20000000000−2i2i000−i2i22−2002-22-222-2-2022-2-2000−i2i20000000000−2i2i000−i2i22−200
χ1944441-2-214-211-22000021-1-2-1-100000002000000-144441-2-214-211-22000021-1-2-1-100000002000000-1
χ2044441-2-214-211-2-20000-211-2110000000-2000000144441-2-214-211-2-20000-211-2110000000-20000001
χ2144441-2-21-4-211-2200002-1-12-1-10000000-2000000144441-2-21-4-211-2200002-1-12-1-10000000-20000001
χ2244441-2-21-4-211-2-20000-2-1121100000002000000-144441-2-21-4-211-2-20000-2-1121100000002000000-1
χ234444-211-241-2-21020000-201002-1-1-1002000000-104444-211-241-2-21020000-201002-1-1-1002000000-10
χ244444-211-241-2-210-20000-20100-211100-2000000104444-211-241-2-210-20000-20100-211100-200000010
χ254444-211-2-41-2-2102000020-1002-1-1-100-2000000104444-211-2-41-2-2102000020-1002-1-1-100-200000010
χ264444-211-2-41-2-210-2000020-100-2111002000000-104444-211-2-41-2-210-2000020-100-2111002000000-10
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
χ3088-4-42-4-4202-1-1240000-20-201100000000000000088-4-42-4-4202-1-1240000-20-2011000000000000000
χ3188-4-42-4-4202-1-12-400002020-1-100000000000000088-4-42-4-4202-1-12-400002020-1-1000000000000000
χ3288-4-4-422-40-122-104000000000-2-2110000000000088-4-4-422-40-122-104000000000-2-21100000000000
χ3388-4-4-422-40-122-10-400000000022-1-10000000000088-4-4-422-40-122-10-400000000022-1-100000000000
χ348-88-82-44-20-42-24000000000000000000000000008-88-82-44-20-42-2400000000000000000000000000
χ358-88-8-42-2402-44-2000000000000000000000000008-88-8-42-2402-44-200000000000000000000000000
χ368-8-442-44-202-11-20000000003-30000000000000008-8-442-44-202-11-20000000003-3000000000000000
χ378-8-442-44-202-11-2000000000-330000000000000008-8-442-44-202-11-2000000000-33000000000000000
χ388-8-44-42-240-12-2100000000000003i−3i000000000008-8-44-42-240-12-2100000000000003i−3i00000000000
χ398-8-44-42-240-12-210000000000000−3i3i000000000008-8-44-42-240-12-210000000000000−3i3i00000000000
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
χ4111111111111111-11-1-1111111-1-1-1-111-111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-11111-1-11-1-111111-1
χ421111111111111-111-1-1-11-11-1-11111111-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-11-111-1-1-1-1-1-1-11-11111-11
χ431111111111111-1-1111-11-11-1-1-1-1-1-111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-11-1111111-1-111-1-1-1-1-111
χ4411111111-11111111111-11-1111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-11111-1-1-11111
χ4511111111-111111-11-1-11-11-111-1-1-1-1-1-11-11-1-1111-1-1-1-1-1-1-1-1-11-1-1-1-1-11-111-11-11-1-1111111-11-111-1-1-11
χ4611111111-11111-111-1-1-1-1-1-1-1-11111-1-1-111-1-111-11-1-1-1-1-1-1-1-11-1-1-1-11-1-111111111-1-1-1-1111-1-111-1-11-1
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
χ48222222222222200-2000202000000-2-200-2000000-2-2-2-2-2-2-2-2-2-2-2-2-2002000-20-200000022002000000
χ4922222222-2222200-2000-20-20000002200-2000000-2-2-2-2-2-2-2-22-2-2-2-2002000202000000-2-2002000000
χ5022-1-122220-1-1-1-122222-1020-1-1-12-1-10000-1-1-10000-2-211-2-2-2-201111-2-2-2-2-210-20111-21100001110000
χ5122-1-122220-1-1-1-12-22-2-2-1020-1-11-2110000-1110000-2-211-2-2-2-201111-22-22210-2011-12-1-100001-1-10000
χ5222-1-122220-1-1-1-1-222-2-210-2011-12-1-10000-1110000-2-211-2-2-2-2011112-2-222-1020-1-11-21100001-1-10000
χ5322-1-122220-1-1-1-1-2-222210-20111-2110000-1-1-10000-2-211-2-2-2-20111122-2-2-2-1020-1-1-12-1-100001110000
χ542-22-222-2-2022-2-2000i2−i200000000002i−2i000i2−i22−200-22-22-2-2220-2-222000−i2i20000000000−2i2i000−i2i2−2200
χ552-22-222-2-2022-2-2000i2−i20000000000−2i2i000i2−i2−2200-22-22-2-2220-2-222000−i2i200000000002i−2i000−i2i22−200
χ562-22-222-2-2022-2-2000−i2i200000000002i−2i000−i2i2−2200-22-22-2-2220-2-222000i2−i20000000000−2i2i000i2−i22−200
χ572-22-222-2-2022-2-2000−i2i20000000000−2i2i000−i2i22−200-22-22-2-2220-2-222000i2−i200000000002i−2i000i2−i2−2200
χ5844441-2-214-211-22000021-1-2-1-100000002000000-1-4-4-4-4-122-1-42-1-12-20000-2-112110000000-20000001
χ5944441-2-214-211-2-20000-211-2110000000-20000001-4-4-4-4-122-1-42-1-12200002-1-12-1-100000002000000-1
χ6044441-2-21-4-211-2200002-1-12-1-10000000-20000001-4-4-4-4-122-142-1-12-20000-211-21100000002000000-1
χ6144441-2-21-4-211-2-20000-2-1121100000002000000-1-4-4-4-4-122-142-1-122000021-1-2-1-10000000-20000001
χ624444-211-241-2-21020000-201002-1-1-1002000000-10-4-4-4-42-1-12-4-122-10-2000020-100-211100-200000010
χ634444-211-241-2-210-20000-20100-211100-200000010-4-4-4-42-1-12-4-122-102000020-1002-1-1-1002000000-10
χ644444-211-2-41-2-2102000020-1002-1-1-100-200000010-4-4-4-42-1-124-122-10-20000-20100-2111002000000-10
χ654444-211-2-41-2-210-2000020-100-2111002000000-10-4-4-4-42-1-124-122-1020000-201002-1-1-100-200000010
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
χ6988-4-42-4-4202-1-1240000-20-2011000000000000000-8-844-244-20-211-2-400002020-1-1000000000000000
χ7088-4-42-4-4202-1-12-400002020-1-1000000000000000-8-844-244-20-211-240000-20-2011000000000000000
χ7188-4-4-422-40-122-104000000000-2-21100000000000-8-8444-2-2401-2-210-400000000022-1-100000000000
χ7288-4-4-422-40-122-10-400000000022-1-100000000000-8-8444-2-2401-2-2104000000000-2-21100000000000
χ738-88-82-44-20-42-2400000000000000000000000000-88-88-24-4204-22-400000000000000000000000000
χ748-88-8-42-2402-44-200000000000000000000000000-88-884-22-40-24-4200000000000000000000000000
χ758-8-442-44-202-11-20000000003-3000000000000000-884-4-24-420-21-12000000000-33000000000000000
χ768-8-442-44-202-11-2000000000-33000000000000000-884-4-24-420-21-120000000003-3000000000000000
χ778-8-44-42-240-12-2100000000000003i−3i00000000000-884-44-22-401-22-10000000000000−3i3i00000000000
χ788-8-44-42-240-12-210000000000000−3i3i00000000000-884-44-22-401-22-100000000000003i−3i00000000000

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