Finite Group Databasebeta

← Group #13180550

Character table — Group #13180550

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1122444466688889912121212121212121218181818242424242424363636363636547210811224444666888899121212121212121212181818182424242424243636363636365472108
order12363366224336622266666612124466666661224121212124642266666622466662226666661212446666666122412121212464
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111-111-1-111111111-111-1-11-1-111-1-11-1-111111111111111111-111-1-111111111-111-1-11-1-111-1-11-1-1
χ31111111111-11111111111111-1-1-1-11111111-1-11-1-111-1-1-11111111111-11111111111111-1-1-1-11111111-1-11-1-111-1-1-1
χ41111111111-1111111-111-1-111-1-1-1-111-111-1-1-11-1-1-1-1-1-1111111111111-1111111-111-1-111-1-1-1-111-111-1-1-11-1-1-1-1-1-111
χ511111111-1-111111111-1-111-1-111-1-1111-1-11111-1-1-1-1-111-111111111-1-111111111-1-111-1-111-1-1111-1-11111-1-1-1-1-111-1
χ611111111-1-11111111-1-1-1-1-1-1-111-1-111-1-1-1-1-11-11-1-1111-1111111111-1-11111111-1-1-1-1-1-1-111-1-111-1-1-1-1-11-11-1-1111-11
χ711111111-1-1-11111111-1-111-1-1-1-111111-1-111-1-1-111-1-1-1-1111111111-1-1-11111111-1-111-1-1-1-111111-1-111-1-1-111-1-1-1-11
χ811111111-1-1-1111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-11-111111111-1-1-1111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-11-1
χ9222222220022222-2-200000002200-2-2000002000000-200222222220022222-2-200000002200-2-2000002000000-200
χ102222222200-22222-2-20000000-2-200-2-200000-20000002002222222200-22222-2-20000000-2-200-2-200000-2000000200
χ1122-1-12222220-1-1-1-1222-1-1-1-1220000-1-12-1-1-1-100200-1-100022-1-12222220-1-1-1-1222-1-1-1-1220000-1-12-1-1-1-100200-1-1000
χ1222-1-12222220-1-1-1-122-2-1-111220000-1-1-2-1-11100-2001100022-1-12222220-1-1-1-122-2-1-111220000-1-1-2-1-11100-20011000
χ1322-1-12222-2-20-1-1-1-122211-1-1-2-20000-1-1211-1-100-2001100022-1-12222-2-20-1-1-1-122211-1-1-2-20000-1-1211-1-100-20011000
χ1422-1-12222-2-20-1-1-1-122-21111-2-20000-1-1-2111100200-1-100022-1-12222-2-20-1-1-1-122-21111-2-20000-1-1-2111100200-1-1000
χ152-22-222-2-200022-2-22-20000000002i−2i2-2000000002i−2i000002-22-222-2-200022-2-22-20000000002i−2i2-2000000002i−2i00000
χ162-22-222-2-200022-2-22-2000000000−2i2i2-200000000−2i2i000002-22-222-2-200022-2-22-2000000000−2i2i2-200000000−2i2i00000
χ172-22-222-2-22-2022-2-2-2202-2002-20000-2202-20000000000002-22-222-2-22-2022-2-2-2202-2002-20000-2202-2000000000000
χ182-22-222-2-2-22022-2-2-220-2200-220000-220-220000000000002-22-222-2-2-22022-2-2-220-2200-220000-220-22000000000000
χ192-2-1122-2-22-20-1-111-220-11−i3i32-200001-10-11−i3i300000−i3i30002-2-1122-2-22-20-1-111-220-11−i3i32-200001-10-11−i3i300000−i3i3000
χ202-2-1122-2-22-20-1-111-220-11i3−i32-200001-10-11i3−i300000i3−i30002-2-1122-2-22-20-1-111-220-11i3−i32-200001-10-11i3−i300000i3−i3000
χ212-2-1122-2-2-220-1-111-2201-1−i3i3-2200001-101-1−i3i300000i3−i30002-2-1122-2-2-220-1-111-2201-1−i3i3-2200001-101-1−i3i300000i3−i3000
χ222-2-1122-2-2-220-1-111-2201-1i3−i3-2200001-101-1i3−i300000−i3i30002-2-1122-2-2-220-1-111-2201-1i3−i3-2200001-101-1i3−i300000−i3i3000
χ2344441-2-212241-21-20002200-1-11122000-1-100-200-1-10000044441-2-212241-21-20002200-1-11122000-1-100-200-1-100000
χ2444441-2-2122-41-21-20002200-1-1-1-1-2-2000-1-100200110000044441-2-2122-41-21-20002200-1-1-1-1-2-2000-1-1002001100000
χ2544441-2-21-2-241-21-2000-2-2001111-2-20001100-200110000044441-2-21-2-241-21-2000-2-2001111-2-20001100-2001100000
χ2644441-2-21-2-2-41-21-2000-2-20011-1-1220001100200-1-10000044441-2-21-2-2-41-21-2000-2-20011-1-1220001100200-1-100000
χ274444-211-2004-21-21002002200-2-20000-100-1-112000000-104444-211-2004-21-21002002200-2-20000-100-1-112000000-10
χ284444-211-2004-21-2100-200-2-200-2-20000100111-2000000104444-211-2004-21-2100-200-2-200-2-20000100111-200000010
χ294444-211-200-4-21-21002002200220000-100-1-1-1-2000000104444-211-200-4-21-21002002200220000-100-1-1-1-200000010
χ304444-211-200-4-21-2100-200-2-20022000010011-12000000-104444-211-200-4-21-2100-200-2-20022000010011-12000000-10
χ3144-2-24444000-2-2-2-2-4-4000000000002200000000000000044-2-24444000-2-2-2-2-4-40000000000022000000000000000
χ324-44-41-22-12-201-2-120002-200-113i−3i2i−2i000-1100000−ii000004-44-41-22-12-201-2-120002-200-113i−3i2i−2i000-1100000−ii00000
χ334-44-41-22-12-201-2-120002-200-11−3i3i−2i2i000-1100000i−i000004-44-41-22-12-201-2-120002-200-11−3i3i−2i2i000-1100000i−i00000
χ344-44-41-22-1-2201-2-12000-22001-13i−3i−2i2i0001-100000i−i000004-44-41-22-1-2201-2-12000-22001-13i−3i−2i2i0001-100000i−i00000
χ354-44-41-22-1-2201-2-12000-22001-1−3i3i2i−2i0001-100000−ii000004-44-41-22-1-2201-2-12000-22001-1−3i3i2i−2i0001-100000−ii00000
χ364-4-2244-4-4000-2-2224-400000000000-220000000000000004-4-2244-4-4000-2-2224-400000000000-22000000000000000
χ3788-4-42-4-42440-12-12000-2-200-2-200000001100000000000088-4-42-4-42440-12-12000-2-200-2-2000000011000000000000
χ3888-4-42-4-42-4-40-12-120002200220000000-1-100000000000088-4-42-4-42-4-40-12-120002200220000000-1-1000000000000
χ3988-4-4-422-40002-12-100400-2-200000000-20011000000000088-4-4-422-40002-12-100400-2-200000000-200110000000000
χ4088-4-4-422-40002-12-100-4002200000000200-1-1000000000088-4-4-422-40002-12-100-4002200000000200-1-10000000000
χ418-88-8-42-24000-424-20000000000000000000000000000008-88-8-42-24000-424-2000000000000000000000000000000
χ428-8-442-44-24-40-121-2000-2200-2200000001-10000000000008-8-442-44-24-40-121-2000-2200-2200000001-1000000000000
χ438-8-442-44-2-440-121-20002-2002-20000000-110000000000008-8-442-44-2-440-121-20002-2002-20000000-11000000000000
χ448-8-44-42-240002-1-2100000−2i32i300000000000i3−i300000000008-8-44-42-240002-1-2100000−2i32i300000000000i3−i30000000000
χ458-8-44-42-240002-1-21000002i3−2i300000000000−i3i300000000008-8-44-42-240002-1-21000002i3−2i300000000000−i3i30000000000
χ46111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4711111111111111111-111-1-111111111-111-1-11-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-11-1-111-111-1-111-111
χ481111111111-11111111111111-1-1-1-11111111-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-111-1-1111
χ491111111111-1111111-111-1-111-1-1-1-111-111-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11-1-111-1-11111-1-11-1-1111-1111111-1-1
χ5011111111-1-111111111-1-111-1-111-1-1111-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-111-1-1-1-111111-1-11
χ5111111111-1-11111111-1-1-1-1-1-1-111-1-111-1-1-1-1-11-11-1-1111-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111111-1-111-1-111111-11-111-1-1-11-1
χ5211111111-1-1-11111111-1-111-1-1-1-111111-1-111-1-1-111-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-111-1-11111-1-1-1-1-111-1-1111-1-11111-1
χ5311111111-1-1-1111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-11-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111111-1-1-1-1111111-1-1-1-1-1-11-11
χ54222222220022222-2-200000002200-2-2000002000000-200-2-2-2-2-2-2-2-200-2-2-2-2-2220000000-2-2002200000-2000000200
χ552222222200-22222-2-20000000-2-200-2-200000-2000000200-2-2-2-2-2-2-2-2002-2-2-2-2220000000220022000002000000-200
χ5622-1-12222220-1-1-1-1222-1-1-1-1220000-1-12-1-1-1-100200-1-1000-2-211-2-2-2-2-2-201111-2-2-21111-2-2000011-2111100-20011000
χ5722-1-12222220-1-1-1-122-2-1-111220000-1-1-2-1-11100-20011000-2-211-2-2-2-2-2-201111-2-2211-1-1-2-2000011211-1-100200-1-1000
χ5822-1-12222-2-20-1-1-1-122211-1-1-2-20000-1-1211-1-100-20011000-2-211-2-2-2-22201111-2-2-2-1-11122000011-2-1-11100200-1-1000
χ5922-1-12222-2-20-1-1-1-122-21111-2-20000-1-1-2111100200-1-1000-2-211-2-2-2-22201111-2-22-1-1-1-1220000112-1-1-1-100-20011000
χ602-22-222-2-200022-2-22-20000000002i−2i2-2000000002i−2i00000-22-22-2-222000-2-222-22000000000−2i2i-2200000000−2i2i00000
χ612-22-222-2-200022-2-22-2000000000−2i2i2-200000000−2i2i00000-22-22-2-222000-2-222-220000000002i−2i-22000000002i−2i00000
χ622-22-222-2-22-2022-2-2-2202-2002-20000-2202-2000000000000-22-22-2-222-220-2-2222-20-2200-2200002-20-22000000000000
χ632-22-222-2-2-22022-2-2-220-2200-220000-220-22000000000000-22-22-2-2222-20-2-2222-202-2002-200002-202-2000000000000
χ642-2-1122-2-22-20-1-111-220-11−i3i32-200001-10-11−i3i300000−i3i3000-221-1-2-222-22011-1-12-201-1i3−i3-220000-1101-1i3−i300000i3−i3000
χ652-2-1122-2-22-20-1-111-220-11i3−i32-200001-10-11i3−i300000i3−i3000-221-1-2-222-22011-1-12-201-1−i3i3-220000-1101-1−i3i300000−i3i3000
χ662-2-1122-2-2-220-1-111-2201-1−i3i3-2200001-101-1−i3i300000i3−i3000-221-1-2-2222-2011-1-12-20-11i3−i32-20000-110-11i3−i300000−i3i3000
χ672-2-1122-2-2-220-1-111-2201-1i3−i3-2200001-101-1i3−i300000−i3i3000-221-1-2-2222-2011-1-12-20-11−i3i32-20000-110-11−i3i300000i3−i3000
χ6844441-2-212241-21-20002200-1-11122000-1-100-200-1-100000-4-4-4-4-122-1-2-2-4-12-12000-2-20011-1-1-2-200011002001100000
χ6944441-2-2122-41-21-20002200-1-1-1-1-2-2000-1-1002001100000-4-4-4-4-122-1-2-24-12-12000-2-2001111220001100-200-1-100000
χ7044441-2-21-2-241-21-2000-2-2001111-2-20001100-2001100000-4-4-4-4-122-122-4-12-120002200-1-1-1-122000-1-100200-1-100000
χ7144441-2-21-2-2-41-21-2000-2-20011-1-1220001100200-1-100000-4-4-4-4-122-1224-12-120002200-1-111-2-2000-1-100-2001100000
χ724444-211-2004-21-21002002200-2-20000-100-1-112000000-10-4-4-4-42-1-1200-42-12-100-200-2-20022000010011-1-200000010
χ734444-211-2004-21-2100-200-2-200-2-20000100111-200000010-4-4-4-42-1-1200-42-12-1002002200220000-100-1-1-12000000-10
χ744444-211-200-4-21-21002002200220000-100-1-1-1-200000010-4-4-4-42-1-120042-12-100-200-2-200-2-200001001112000000-10
χ754444-211-200-4-21-2100-200-2-20022000010011-12000000-10-4-4-4-42-1-120042-12-1002002200-2-20000-100-1-11-200000010
χ7644-2-24444000-2-2-2-2-4-40000000000022000000000000000-4-422-4-4-4-400022224400000000000-2-2000000000000000
χ774-44-41-22-12-201-2-120002-200-113i−3i2i−2i000-1100000−ii00000-44-44-12-21-220-121-2000-22001-1−3i3i−2i2i0001-100000i−i00000
χ784-44-41-22-12-201-2-120002-200-11−3i3i−2i2i000-1100000i−i00000-44-44-12-21-220-121-2000-22001-13i−3i2i−2i0001-100000−ii00000
χ794-44-41-22-1-2201-2-12000-22001-13i−3i−2i2i0001-100000i−i00000-44-44-12-212-20-121-20002-200-11−3i3i2i−2i000-1100000−ii00000
χ804-44-41-22-1-2201-2-12000-22001-1−3i3i2i−2i0001-100000−ii00000-44-44-12-212-20-121-20002-200-113i−3i−2i2i000-1100000i−i00000
χ814-4-2244-4-4000-2-2224-400000000000-22000000000000000-442-2-4-44400022-2-2-44000000000002-2000000000000000
χ8288-4-42-4-42440-12-12000-2-200-2-2000000011000000000000-8-844-244-2-4-401-21-20002200220000000-1-1000000000000
χ8388-4-42-4-42-4-40-12-120002200220000000-1-1000000000000-8-844-244-24401-21-2000-2-200-2-2000000011000000000000
χ8488-4-4-422-40002-12-100400-2-200000000-200110000000000-8-8444-2-24000-21-2100-4002200000000200-1-10000000000
χ8588-4-4-422-40002-12-100-4002200000000200-1-10000000000-8-8444-2-24000-21-2100400-2-200000000-200110000000000
χ868-88-8-42-24000-424-2000000000000000000000000000000-88-884-22-40004-2-42000000000000000000000000000000
χ878-8-442-44-24-40-121-2000-2200-2200000001-1000000000000-884-4-24-42-4401-2-120002-2002-20000000-11000000000000
χ888-8-442-44-2-440-121-20002-2002-20000000-11000000000000-884-4-24-424-401-2-12000-2200-2200000001-1000000000000
χ898-8-44-42-240002-1-2100000−2i32i300000000000i3−i30000000000-884-44-22-4000-212-1000002i3−2i300000000000−i3i30000000000
χ908-8-44-42-240002-1-21000002i3−2i300000000000−i3i30000000000-884-44-22-4000-212-100000−2i32i300000000000i3−i30000000000

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