Finite Group Databasebeta

← Group #13180790

Character table — Group #13180790

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size1122222334444446666666888888121212121212121216161616161616161616161616161618183636363636364848484848485454545472727272108108
order12334662236121212124446666333666661212121212123336661212121212121212124422441212121212121212444466121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111-1-111111111111111-1-111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111-1-111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111-1111111-1-1-1-1-11-1111111111111-1-11-1-1-1111111-1-1-1-1-1-1-1-1-11-11-11-11-1111-1-1-111111-11-1-1-1
χ61111-1111111-1-1-1-1-11-1111111111111-1-11-1-1-1111111-1-1-1-1-1-1-1-1-11-1-11-111-1111-1-1-1-1-1-1-1-11-1111
χ71111-1111111-1-1-1-1-1-11111111111111-1-1-11-1-1111111-1-1-1-1-1-1-1-1-1-111-11-1-11-1-1-1111-1-1-1-11-11-111
χ81111-1111111-1-1-1-1-1-11111111111111-1-1-11-1-1111111-1-1-1-1-1-1-1-1-1-11-11-11-11-1-1-11111111-11-11-1-1
χ92222222222222222222222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122000022-1-1-1-1-1-10000000000
χ102222222222222222-2-22222-1-1-1-1-1-12222-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20000-2-21111110000000000
χ112222-2222222-2-2-2-2-22-22222-1-1-1-1-1-122-2-22-2-2-2-1-1-1-1-1-11111111112-200002-2-1-1-11110000000000
χ122222-2222222-2-2-2-2-2-222222-1-1-1-1-1-122-2-2-22-2-2-1-1-1-1-1-1111111111-220000-22111-1-1-10000000000
χ13222-12-1222-1-1-12-1-120022-1-1222222-1-1-1200-1-1-1-1-1-1-1-1222-1-1-1-1-1-1002222000000000000-1-1-1-100
χ14222-12-1222-1-1-12-1-120022-1-1222222-1-1-1200-1-1-1-1-1-1-1-1222-1-1-1-1-1-100-2-2-2-2000000000000111100
χ15222-1-2-1222-1-11-211-20022-1-1222222-1-11-20011-1-1-1-1-1-1-2-2-2111111002-22-2000000000000-11-1100
χ16222-1-2-1222-1-11-211-20022-1-1222222-1-11-20011-1-1-1-1-1-1-2-2-211111100-22-220000000000001-11-100
χ1722-1222-122-1-12-1-1-1222-1-1222-1-12-1-1-1-12-1-1-1-1-12-1-12-1-12-1-122-1-1-1-1220000-1-12-1-12-1-10000000000
χ1822-1222-122-1-12-1-1-1222-1-122-12-1-12-1-1-12-1-1-1-1-1-12-1-12-1-12-1-1-122-1-1220000-1-1-12-1-12-10000000000
χ1922-1222-122-1-12-1-1-1222-1-122-1-12-1-12-1-12-1-1-1-1-1-1-12-1-12-1-12-1-1-1-122220000-1-1-1-12-1-120000000000
χ2022-1222-122-1-12-1-1-12-2-2-1-1222-1-12-1-1-1-12-111-1-12-1-12-1-12-1-122-1-1-1-1-2-2000011-211-2110000000000
χ2122-1222-122-1-12-1-1-12-2-2-1-122-12-1-12-1-1-12-111-1-1-12-1-12-1-12-1-1-122-1-1-2-20000111-211-210000000000
χ2222-1222-122-1-12-1-1-12-2-2-1-122-1-12-1-12-1-12-111-1-1-1-12-1-12-1-12-1-1-1-122-2-200001111-211-20000000000
χ2322-12-22-122-1-1-2111-22-2-1-1222-1-12-1-1-1-1-21-11112-1-12-1-1-211-2-211112-20000-112-1-1-2110000000000
χ2422-12-22-122-1-1-2111-22-2-1-122-12-1-12-1-1-1-21-1111-12-1-12-11-2111-2-2112-20000-11-12-11-210000000000
χ2522-12-22-122-1-1-2111-22-2-1-122-1-12-1-12-1-1-21-1111-1-12-1-1211-21111-2-22-20000-11-1-1211-20000000000
χ2622-12-22-122-1-1-2111-2-22-1-1222-1-12-1-1-1-1-211-1112-1-12-1-1-211-2-21111-2200001-1-2112-1-10000000000
χ2722-12-22-122-1-1-2111-2-22-1-122-12-1-12-1-1-1-211-111-12-1-12-11-2111-2-211-2200001-11-21-12-10000000000
χ2822-12-22-122-1-1-2111-2-22-1-122-1-12-1-12-1-1-211-111-1-12-1-1211-21111-2-2-2200001-111-2-1-120000000000
χ292-2220-2-2-222-200000002-2-22222-2-2-22-2000000222-2-2-2000000000000000000000002i−2i2i−2i000000
χ302-2220-2-2-222-200000002-2-22222-2-2-22-2000000222-2-2-200000000000000000000000−2i2i−2i2i000000
χ313333333-1-1333333-133-1-1-1-1000000-1-1-1-133-1-1000000000000000-1-111-1-1-1-100000011-1-111-1-11-1
χ323333333-1-1333333-133-1-1-1-1000000-1-1-1-133-1-1000000000000000-1-1-1-111-1-1000000-1-111-1-111-11
χ333333333-1-1333333-1-3-3-1-1-1-1000000-1-1-1-1-3-3-1-10000000000000001111-1-111000000-1-11111-1-1-11
χ343333333-1-1333333-1-3-3-1-1-1-1000000-1-1-1-1-3-3-1-100000000000000011-1-1111100000011-1-1-1-1111-1
χ353333-333-1-133-3-3-3-313-3-1-1-1-1000000-1-1113-311000000000000000-111-1-11-1100000011-1-11-1-11-11
χ363333-333-1-133-3-3-3-313-3-1-1-1-1000000-1-1113-311000000000000000-11-111-1-11000000-1-111-111-11-1
χ373333-333-1-133-3-3-3-31-33-1-1-1-1000000-1-111-33110000000000000001-11-1-111-1000000-1-1111-1-111-1
χ383333-333-1-133-3-3-3-31-33-1-1-1-1000000-1-111-33110000000000000001-1-111-11-100000011-1-1-111-1-11
χ39444-24-2444-2-2-24-2-240044-2-2-2-2-2-2-2-2-2-2-2400-2-2111111-2-2-2111111000000000000000000000000
χ40444-2-4-2444-2-22-422-40044-2-2-2-2-2-2-2-2-2-22-40022111111222-1-1-1-1-1-1000000000000000000000000
χ4144-2-24-2-24411-2-211400-2-2-2-24-2-24-2-211-2-20011-211-2114-2-2-2-21111000000000000000000000000
χ4244-2-24-2-24411-2-211400-2-2-2-2-24-2-24-211-2-200111-211-21-24-211-2-211000000000000000000000000
χ4344-2-24-2-24411-2-211400-2-2-2-2-2-24-2-2411-2-2001111-211-2-2-241111-2-2000000000000000000000000
χ4444-2-2-4-2-2441122-1-1-400-2-2-2-24-2-24-2-2112200-1-1-211-211-42222-1-1-1-1000000000000000000000000
χ4544-2-2-4-2-2441122-1-1-400-2-2-2-2-24-2-24-2112200-1-11-211-212-42-1-122-1-1000000000000000000000000
χ4644-2-2-4-2-2441122-1-1-400-2-2-2-2-2-24-2-24112200-1-111-211-222-4-1-1-1-122000000000000000000000000
χ474-4440-4-4-444-400000004-4-44-2-2-22224-4000000-2-2-2222000000000000000000000000000000000
χ484-44-202-4-44-2200000004-42-2444-4-4-4-22000000-2-2-2222000000000000000000000000000000000
χ494-44-202-4-44-2200000004-42-2-2-2-2222-22000000111-1-1-10003i−3i3i−3i3i−3i000000000000000000000000
χ504-44-202-4-44-2200000004-42-2-2-2-2222-22000000111-1-1-1000−3i3i−3i3i−3i3i000000000000000000000000
χ514-4-240-42-44-220000000-22-444-2-2-422-220000004-2-2-422000000000000000000000000000000000
χ524-4-240-42-44-220000000-22-44-24-22-42-22000000-24-22-42000000000000000000000000000000000
χ534-4-240-42-44-220000000-22-44-2-2422-4-22000000-2-2422-4000000000000000000000000000000000
χ544-4-2-2022-441-1003i−3i000-222-24-2-2-4221-100003i−3i-2112-1-1000003i−3i−3i3i000000000000000000000000
χ554-4-2-2022-441-1003i−3i000-222-2-24-22-421-100003i−3i1-21-12-1000−3i3i003i−3i000000000000000000000000
χ564-4-2-2022-441-1003i−3i000-222-2-2-2422-41-100003i−3i11-2-1-120003i−3i−3i3i00000000000000000000000000
χ574-4-2-2022-441-100−3i3i000-222-24-2-2-4221-10000−3i3i-2112-1-100000−3i3i3i−3i000000000000000000000000
χ584-4-2-2022-441-100−3i3i000-222-2-24-22-421-10000−3i3i1-21-12-10003i−3i00−3i3i000000000000000000000000
χ594-4-2-2022-441-100−3i3i000-222-2-2-2422-41-10000−3i3i11-2-1-12000−3i3i3i−3i00000000000000000000000000
χ60666-36-36-2-2-3-3-36-3-3-200-2-211000000111-200110000000000000000022-2-2000000000000-1-11100
χ61666-36-36-2-2-3-3-36-3-3-200-2-211000000111-2001100000000000000000-2-22200000000000011-1-100
χ62666-3-6-36-2-2-3-33-633200-2-21100000011-1200-1-1000000000000000002-2-22000000000000-111-100
χ63666-3-6-36-2-2-3-33-633200-2-21100000011-1200-1-100000000000000000-222-20000000000001-1-1100
χ6466-3666-3-2-2-3-36-3-3-3-26611-2-200000011-21-3-311000000000000000-2-20000110000000000000000
χ6566-3666-3-2-2-3-36-3-3-3-2-6-611-2-200000011-213311000000000000000220000-1-10000000000000000
χ6666-36-66-3-2-2-3-3-633326-611-2-2000000112-1-33-1-1000000000000000-2200001-10000000000000000
χ6766-36-66-3-2-2-3-3-63332-6611-2-2000000112-13-3-1-10000000000000002-20000-110000000000000000
χ686-6660-6-62-26-60000000-222-2000000-22000000000000000000000000000000000002i−2i−2i2i000000
χ696-6660-6-62-26-60000000-222-2000000-2200000000000000000000000000000000000−2i2i2i−2i000000
χ701212-6-612-6-6-4-433-6-633-4002222000000-1-12200-1-1000000000000000000000000000000000000000
χ711212-6-6-12-6-6-4-43366-3-34002222000000-1-1-2-20011000000000000000000000000000000000000000
χ7212-1212-606-124-4-660000000-44-220000002-2000000000000000000000000000000000000000000000
χ7312-12-6120-1264-4-6600000002-24-40000002-2000000000000000000000000000000000000000000000
χ7412-12-6-60664-43-3009i−9i0002-2-22000000-110000−3i3i000000000000000000000000000000000000000
χ7512-12-6-60664-43-300−9i9i0002-2-22000000-1100003i−3i000000000000000000000000000000000000000

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