Finite Group Databasebeta

← Group #13180554

Character table — Group #13180554

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1122444466688889912121212121212121218181818242424242424363636363636547210811224444666888899121212121212121212181818182424242424243636363636365472108
order1236336644433662226612121212121222666661212122466121246422666666444666622266121212121212226666612121224661212464
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111-1-1-11111111111-1-1-1111-1-111-1-11-1-111111111111111111-1-1-11111111111-1-1-1111-1-111-1-11-1-1
χ31111111111-11111111111111-1-1-1-111111-111-11-1-111-1-1-11111111111-11111111111111-1-1-1-111111-111-11-1-111-1-1-1
χ41111111111-1111111-1-1-11111-1-1-1-111-1-1-1-1111-1-1-1-1-1-1111111111111-1111111-1-1-11111-1-1-1-111-1-1-1-1111-1-1-1-1-1-111
χ511111111-1-11111111111-1-1-1-111-1-1111111-1-11-1-1-1-1-111-111111111-1-11111111111-1-1-1-111-1-1111111-1-11-1-1-1-1-111-1
χ611111111-1-11111111-1-1-1-1-1-1-111-1-111-1-1-11-1-1-11-1-1111-1111111111-1-11111111-1-1-1-1-1-1-111-1-111-1-1-11-1-1-11-1-1111-11
χ711111111-1-1-1111111111-1-1-1-1-1-11111111-1-1-1-1-111-1-1-1-1111111111-1-1-1111111111-1-1-1-1-1-11111111-1-1-1-1-111-1-1-1-11
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
χ9222222220022222-2-200000002200-2-2000200000000-200222222220022222-2-200000002200-2-2000200000000-200
χ102222222200-22222-2-20000000-2-200-2-2000-2000000002002222222200-22222-2-20000000-2-200-2-2000-200000000200
χ1122-1-12222220-1-1-1-1222-1-1-1-1220000-1-12-1-10-1-10200-1-100022-1-12222220-1-1-1-1222-1-1-1-1220000-1-12-1-10-1-10200-1-1000
χ1222-1-12222220-1-1-1-122-211-1-1220000-1-1-2110-1-10-2001100022-1-12222220-1-1-1-122-211-1-1220000-1-1-2110-1-10-20011000
χ1322-1-12222-2-20-1-1-1-1222-1-111-2-20000-1-12-1-10110-2001100022-1-12222-2-20-1-1-1-1222-1-111-2-20000-1-12-1-10110-20011000
χ1422-1-12222-2-20-1-1-1-122-21111-2-20000-1-1-2110110200-1-100022-1-12222-2-20-1-1-1-122-21111-2-20000-1-1-2110110200-1-1000
χ152-22-222-2-200022-2-2-220000000002-2-22000000002-2000002-22-222-2-200022-2-2-220000000002-2-22000000002-200000
χ162-22-222-2-200022-2-2-22000000000-22-2200000000-22000002-22-222-2-200022-2-2-22000000000-22-2200000000-2200000
χ172-22-222-2-22i−2i022-2-22-20002i−2i2i−2i00002-200002i−2i0000000002-22-222-2-22i−2i022-2-22-20002i−2i2i−2i00002-200002i−2i000000000
χ182-22-222-2-2−2i2i022-2-22-2000−2i2i−2i2i00002-20000−2i2i0000000002-22-222-2-2−2i2i022-2-22-2000−2i2i−2i2i00002-20000−2i2i000000000
χ192-2-1122-2-22i−2i0-1-1112-20−i3i3−ii2i−2i0000-110−i3i30−ii00003−30002-2-1122-2-22i−2i0-1-1112-20−i3i3−ii2i−2i0000-110−i3i30−ii00003−3000
χ202-2-1122-2-22i−2i0-1-1112-20i3−i3−ii2i−2i0000-110i3−i30−ii0000−330002-2-1122-2-22i−2i0-1-1112-20i3−i3−ii2i−2i0000-110i3−i30−ii0000−33000
χ212-2-1122-2-2−2i2i0-1-1112-20−i3i3i−i−2i2i0000-110−i3i30i−i0000−330002-2-1122-2-2−2i2i0-1-1112-20−i3i3i−i−2i2i0000-110−i3i30i−i0000−33000
χ222-2-1122-2-2−2i2i0-1-1112-20i3−i3i−i−2i2i0000-110i3−i30i−i00003−30002-2-1122-2-2−2i2i0-1-1112-20i3−i3i−i−2i2i0000-110i3−i30i−i00003−3000
χ2344441-2-212241-2-210000022-1-1112200000-2-1-100-1-10000044441-2-212241-2-210000022-1-1112200000-2-1-100-1-100000
χ2444441-2-2122-41-2-210000022-1-1-1-1-2-2000002-1-100110000044441-2-2122-41-2-210000022-1-1-1-1-2-2000002-1-1001100000
χ2544441-2-21-2-241-2-2100000-2-21111-2-200000-21100110000044441-2-21-2-241-2-2100000-2-21111-2-200000-211001100000
χ2644441-2-21-2-2-41-2-2100000-2-211-1-1220000021100-1-10000044441-2-21-2-2-41-2-2100000-2-211-1-1220000021100-1-100000
χ274444-211-2004-211-2002220000-2-20000-1-1-11002000000-104444-211-2004-211-2002220000-2-20000-1-1-11002000000-10
χ284444-211-2004-211-200-2-2-20000-2-20000111100-2000000104444-211-2004-211-200-2-2-20000-2-20000111100-200000010
χ294444-211-200-4-211-2002220000220000-1-1-1-100-2000000104444-211-200-4-211-2002220000220000-1-1-1-100-200000010
χ304444-211-200-4-211-200-2-2-20000220000111-1002000000-104444-211-200-4-211-200-2-2-20000220000111-1002000000-10
χ3144-2-24444000-2-2-2-2-4-4000000000002200000000000000044-2-24444000-2-2-2-2-4-40000000000022000000000000000
χ324-44-41-22-12i−2i01-22-1000002i−2i−ii3i−3i2-2000000−ii00-11000004-44-41-22-12i−2i01-22-1000002i−2i−ii3i−3i2-2000000−ii00-1100000
χ334-44-41-22-12i−2i01-22-1000002i−2i−ii−3i3i-22000000−ii001-1000004-44-41-22-12i−2i01-22-1000002i−2i−ii−3i3i-22000000−ii001-100000
χ344-44-41-22-1−2i2i01-22-100000−2i2ii−i3i−3i-22000000i−i001-1000004-44-41-22-1−2i2i01-22-100000−2i2ii−i3i−3i-22000000i−i001-100000
χ354-44-41-22-1−2i2i01-22-100000−2i2ii−i−3i3i2-2000000i−i00-11000004-44-41-22-1−2i2i01-22-100000−2i2ii−i−3i3i2-2000000i−i00-1100000
χ364-4-2244-4-4000-2-222-44000000000002-20000000000000004-4-2244-4-4000-2-222-44000000000002-2000000000000000
χ3788-4-42-4-42440-122-100000-2-2-2-200000000001100000000088-4-42-4-42440-122-100000-2-2-2-2000000000011000000000
χ3888-4-42-4-42-4-40-122-10000022220000000000-1-100000000088-4-42-4-42-4-40-122-10000022220000000000-1-1000000000
χ3988-4-4-422-40002-1-12004-2-20000000000-21100000000000088-4-4-422-40002-1-12004-2-20000000000-211000000000000
χ4088-4-4-422-40002-1-1200-42200000000002-1-100000000000088-4-4-422-40002-1-1200-42200000000002-1-1000000000000
χ418-88-8-42-24000-42-240000000000000000000000000000008-88-8-42-24000-42-24000000000000000000000000000000
χ428-8-442-44-24i−4i0-12-2100000−2i2i−2i2i0000000000i−i0000000008-8-442-44-24i−4i0-12-2100000−2i2i−2i2i0000000000i−i000000000
χ438-8-442-44-2−4i4i0-12-21000002i−2i2i−2i0000000000−ii0000000008-8-442-44-2−4i4i0-12-21000002i−2i2i−2i0000000000−ii000000000
χ448-8-44-42-240002-11-2000−2i32i300000000000i3−i30000000000008-8-44-42-240002-11-2000−2i32i300000000000i3−i3000000000000
χ458-8-44-42-240002-11-20002i3−2i300000000000−i3i30000000000008-8-44-42-240002-11-20002i3−2i300000000000−i3i3000000000000
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
χ4711111111111111111-1-1-11111111111-1-1-1111-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-111-111
χ481111111111-11111111111111-1-1-1-111111-111-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-11-111-1-1111
χ491111111111-1111111-1-1-11111-1-1-1-111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1111-1-1-1-11111-1-11111-1-1-1111111-1-1
χ5011111111-1-11111111111-1-1-1-111-1-1111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-111111-1-11
χ5111111111-1-11111111-1-1-1-1-1-1-111-1-111-1-1-11-1-1-11-1-1111-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111111-1-111-1-1111-1111-111-1-1-11-1
χ5211111111-1-1-1111111111-1-1-1-1-1-11111111-1-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111111-1-11111-1
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
χ54222222220022222-2-200000002200-2-2000200000000-200-2-2-2-2-2-2-2-200-2-2-2-2-2220000000-2-20022000-200000000200
χ552222222200-22222-2-20000000-2-200-2-2000-200000000200-2-2-2-2-2-2-2-2002-2-2-2-2220000000220022000200000000-200
χ5622-1-12222220-1-1-1-1222-1-1-1-1220000-1-12-1-10-1-10200-1-1000-2-211-2-2-2-2-2-201111-2-2-21111-2-2000011-2110110-20011000
χ5722-1-12222220-1-1-1-122-211-1-1220000-1-1-2110-1-10-20011000-2-211-2-2-2-2-2-201111-2-22-1-111-2-20000112-1-10110200-1-1000
χ5822-1-12222-2-20-1-1-1-1222-1-111-2-20000-1-12-1-10110-20011000-2-211-2-2-2-22201111-2-2-211-1-122000011-2110-1-10200-1-1000
χ5922-1-12222-2-20-1-1-1-122-21111-2-20000-1-1-2110110200-1-1000-2-211-2-2-2-22201111-2-22-1-1-1-1220000112-1-10-1-10-20011000
χ602-22-222-2-200022-2-2-220000000002-2-22000000002-200000-22-22-2-222000-2-2222-2000000000-222-200000000-2200000
χ612-22-222-2-200022-2-2-22000000000-22-2200000000-2200000-22-22-2-222000-2-2222-20000000002-22-2000000002-200000
χ622-22-222-2-22i−2i022-2-22-20002i−2i2i−2i00002-200002i−2i000000000-22-22-2-222−2i2i0-2-222-22000−2i2i−2i2i0000-220000−2i2i000000000
χ632-22-222-2-2−2i2i022-2-22-2000−2i2i−2i2i00002-20000−2i2i000000000-22-22-2-2222i−2i0-2-222-220002i−2i2i−2i0000-2200002i−2i000000000
χ642-2-1122-2-22i−2i0-1-1112-20−i3i3−ii2i−2i0000-110−i3i30−ii00003−3000-221-1-2-222−2i2i011-1-1-220i3−i3i−i−2i2i00001-10i3−i30i−i0000−33000
χ652-2-1122-2-22i−2i0-1-1112-20i3−i3−ii2i−2i0000-110i3−i30−ii0000−33000-221-1-2-222−2i2i011-1-1-220−i3i3i−i−2i2i00001-10−i3i30i−i00003−3000
χ662-2-1122-2-2−2i2i0-1-1112-20−i3i3i−i−2i2i0000-110−i3i30i−i0000−33000-221-1-2-2222i−2i011-1-1-220i3−i3−ii2i−2i00001-10i3−i30−ii00003−3000
χ672-2-1122-2-2−2i2i0-1-1112-20i3−i3i−i−2i2i0000-110i3−i30i−i00003−3000-221-1-2-2222i−2i011-1-1-220−i3i3−ii2i−2i00001-10−i3i30−ii0000−33000
χ6844441-2-212241-2-210000022-1-1112200000-2-1-100-1-100000-4-4-4-4-122-1-2-2-4-122-100000-2-211-1-1-2-200000211001100000
χ6944441-2-2122-41-2-210000022-1-1-1-1-2-2000002-1-1001100000-4-4-4-4-122-1-2-24-122-100000-2-211112200000-21100-1-100000
χ7044441-2-21-2-241-2-2100000-2-21111-2-200000-211001100000-4-4-4-4-122-122-4-122-10000022-1-1-1-122000002-1-100-1-100000
χ7144441-2-21-2-2-41-2-2100000-2-211-1-1220000021100-1-100000-4-4-4-4-122-1224-122-10000022-1-111-2-200000-2-1-1001100000
χ724444-211-2004-211-2002220000-2-20000-1-1-11002000000-10-4-4-4-42-1-1200-42-1-1200-2-2-20000220000111-100-200000010
χ734444-211-2004-211-200-2-2-20000-2-20000111100-200000010-4-4-4-42-1-1200-42-1-12002220000220000-1-1-1-1002000000-10
χ744444-211-200-4-211-2002220000220000-1-1-1-100-200000010-4-4-4-42-1-120042-1-1200-2-2-20000-2-200001111002000000-10
χ754444-211-200-4-211-200-2-2-20000220000111-1002000000-10-4-4-4-42-1-120042-1-12002220000-2-20000-1-1-1100-200000010
χ7644-2-24444000-2-2-2-2-4-40000000000022000000000000000-4-422-4-4-4-400022224400000000000-2-2000000000000000
χ774-44-41-22-12i−2i01-22-1000002i−2i−ii3i−3i2-2000000−ii00-1100000-44-44-12-21−2i2i0-12-2100000−2i2ii−i−3i3i-22000000i−i001-100000
χ784-44-41-22-12i−2i01-22-1000002i−2i−ii−3i3i-22000000−ii001-100000-44-44-12-21−2i2i0-12-2100000−2i2ii−i3i−3i2-2000000i−i00-1100000
χ794-44-41-22-1−2i2i01-22-100000−2i2ii−i3i−3i-22000000i−i001-100000-44-44-12-212i−2i0-12-21000002i−2i−ii−3i3i2-2000000−ii00-1100000
χ804-44-41-22-1−2i2i01-22-100000−2i2ii−i−3i3i2-2000000i−i00-1100000-44-44-12-212i−2i0-12-21000002i−2i−ii3i−3i-22000000−ii001-100000
χ814-4-2244-4-4000-2-222-44000000000002-2000000000000000-442-2-4-44400022-2-24-400000000000-22000000000000000
χ8288-4-42-4-42440-122-100000-2-2-2-2000000000011000000000-8-844-244-2-4-401-2-210000022220000000000-1-1000000000
χ8388-4-42-4-42-4-40-122-10000022220000000000-1-1000000000-8-844-244-24401-2-2100000-2-2-2-2000000000011000000000
χ8488-4-4-422-40002-1-12004-2-20000000000-211000000000000-8-8444-2-24000-211-200-42200000000002-1-1000000000000
χ8588-4-4-422-40002-1-1200-42200000000002-1-1000000000000-8-8444-2-24000-211-2004-2-20000000000-211000000000000
χ868-88-8-42-24000-42-24000000000000000000000000000000-88-884-22-40004-22-4000000000000000000000000000000
χ878-8-442-44-24i−4i0-12-2100000−2i2i−2i2i0000000000i−i000000000-884-4-24-42−4i4i01-22-1000002i−2i2i−2i0000000000−ii000000000
χ888-8-442-44-2−4i4i0-12-21000002i−2i2i−2i0000000000−ii000000000-884-4-24-424i−4i01-22-100000−2i2i−2i2i0000000000i−i000000000
χ898-8-44-42-240002-11-2000−2i32i300000000000i3−i3000000000000-884-44-22-4000-21-120002i3−2i300000000000−i3i3000000000000
χ908-8-44-42-240002-11-20002i3−2i300000000000−i3i3000000000000-884-44-22-4000-21-12000−2i32i300000000000i3−i3000000000000

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