Finite Group Databasebeta

← Group #13180544

Character table — Group #13180544

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1122444466688889912121212121212121218181818242424242424363636363636547210811224444666888899121212121212121212181818182424242424243636363636365472108
order123633662223366222666666662266666666446612122124226666662226666222666666662266666666446612122124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111-111-1-1111111111-111-1-1-1-111-1-11-1-111111111111111111-111-1-1111111111-111-1-1-1-111-1-11-1-1
χ31111111111-11111111111111-1-1-1-111-111111-11-1-111-1-1-11111111111-11111111111111-1-1-1-111-111111-11-1-111-1-1-1
χ41111111111-1111111-111-1-111-1-1-1-111-1-111-1-11-1-1-1-1-1-1111111111111-1111111-111-1-111-1-1-1-111-1-111-1-11-1-1-1-1-1-111
χ511111111-1-111111111-1-111-1-111-1-11111-1-1111-1-1-1-1-111-111111111-1-111111111-1-111-1-111-1-11111-1-1111-1-1-1-1-111-1
χ611111111-1-11111111-1-1-1-1-1-1-111-1-1111-1-1-1-1-1-11-1-1111-1111111111-1-11111111-1-1-1-1-1-1-111-1-1111-1-1-1-1-1-11-1-1111-11
χ711111111-1-1-11111111-1-111-1-1-1-11111-11-1-111-1-111-1-1-1-1111111111-1-1-11111111-1-111-1-1-1-11111-11-1-111-1-111-1-1-1-11
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
χ9222222220022222-2-200000002200-2-2200000000000-200222222220022222-2-200000002200-2-2200000000000-200
χ102222222200-22222-2-20000000-2-200-2-2-2000000000002002222222200-22222-2-20000000-2-200-2-2-200000000000200
χ1122-1-12222220-1-1-1-1222-1-1-1-1220000-1-102-1-1-1-10200-1-100022-1-12222220-1-1-1-1222-1-1-1-1220000-1-102-1-1-1-10200-1-1000
χ1222-1-12222220-1-1-1-122-2-1-111220000-1-10-2-1-1110-2001100022-1-12222220-1-1-1-122-2-1-111220000-1-10-2-1-1110-20011000
χ1322-1-12222-2-20-1-1-1-122211-1-1-2-20000-1-10211-1-10-2001100022-1-12222-2-20-1-1-1-122211-1-1-2-20000-1-10211-1-10-20011000
χ1422-1-12222-2-20-1-1-1-122-21111-2-20000-1-10-211110200-1-100022-1-12222-2-20-1-1-1-122-21111-2-20000-1-10-211110200-1-1000
χ152-22-222-2-200022-2-2-220000000002-22-2000000002-2000002-22-222-2-200022-2-2-220000000002-22-2000000002-200000
χ162-22-222-2-200022-2-2-22000000000-222-200000000-22000002-22-222-2-200022-2-2-22000000000-222-200000000-2200000
χ172-22-222-2-22-2022-2-22-202-2002-20000-22002-2000000000002-22-222-2-22-2022-2-22-202-2002-20000-22002-200000000000
χ182-22-222-2-2-22022-2-22-20-2200-220000-2200-22000000000002-22-222-2-2-22022-2-22-20-2200-220000-2200-2200000000000
χ192-2-1122-2-22-20-1-1112-20-11i3−i32-200001-100-11i3−i30000i3−i30002-2-1122-2-22-20-1-1112-20-11i3−i32-200001-100-11i3−i30000i3−i3000
χ202-2-1122-2-22-20-1-1112-20-11−i3i32-200001-100-11−i3i30000−i3i30002-2-1122-2-22-20-1-1112-20-11−i3i32-200001-100-11−i3i30000−i3i3000
χ212-2-1122-2-2-220-1-1112-201-1i3−i3-2200001-1001-1i3−i30000−i3i30002-2-1122-2-2-220-1-1112-201-1i3−i3-2200001-1001-1i3−i30000−i3i3000
χ222-2-1122-2-2-220-1-1112-201-1−i3i3-2200001-1001-1−i3i30000i3−i30002-2-1122-2-2-220-1-1112-201-1−i3i3-2200001-1001-1−i3i30000i3−i3000
χ2344441-2-210041-21-2002002200-2-200001-100-1-12000000-1044441-2-210041-21-2002002200-2-200001-100-1-12000000-10
χ2444441-2-210041-21-200-200-2-200-2-20000110011-20000001044441-2-210041-21-200-200-2-200-2-20000110011-200000010
χ2544441-2-2100-41-21-2002002200220000-1-100-1-1-20000001044441-2-2100-41-21-2002002200220000-1-100-1-1-200000010
χ2644441-2-2100-41-21-200-200-2-200220000-1100112000000-1044441-2-2100-41-21-200-200-2-200220000-1100112000000-10
χ274444-211-2224-21-210002200-1-1112200-20-1-10000-1-1000004444-211-2224-21-210002200-1-1112200-20-1-10000-1-100000
χ284444-211-222-4-21-210002200-1-1-1-1-2-20020-1-1000011000004444-211-222-4-21-210002200-1-1-1-1-2-20020-1-100001100000
χ294444-211-2-2-24-21-21000-2-2001111-2-200-2011000011000004444-211-2-2-24-21-21000-2-2001111-2-200-201100001100000
χ304444-211-2-2-2-4-21-21000-2-20011-1-1220020110000-1-1000004444-211-2-2-2-4-21-21000-2-20011-1-1220020110000-1-100000
χ3144-2-24444000-2-2-2-2-4-4000000000002200000000000000044-2-24444000-2-2-2-2-4-40000000000022000000000000000
χ324-44-4-21-122-20-212-10002-200-113-32-20000-110000-11000004-44-4-21-122-20-212-10002-200-113-32-20000-110000-1100000
χ334-44-4-21-122-20-212-10002-200-11-33-220000-1100001-1000004-44-4-21-122-20-212-10002-200-11-33-220000-1100001-100000
χ344-44-4-21-12-220-212-1000-22001-13-3-2200001-100001-1000004-44-4-21-12-220-212-1000-22001-13-3-2200001-100001-100000
χ354-44-4-21-12-220-212-1000-22001-1-332-200001-10000-11000004-44-4-21-12-220-212-1000-22001-1-332-200001-10000-1100000
χ364-4-2244-4-4000-2-222-4400000000000-220000000000000004-4-2244-4-4000-2-222-4400000000000-22000000000000000
χ3788-4-42-4-42000-12-1200400-2-2000000000-2001100000000088-4-42-4-42000-12-1200400-2-2000000000-20011000000000
χ3888-4-42-4-42000-12-1200-40022000000000200-1-100000000088-4-42-4-42000-12-1200-40022000000000200-1-1000000000
χ3988-4-4-422-44402-12-1000-2-200-2-200000000110000000000088-4-4-422-44402-12-1000-2-200-2-2000000001100000000000
χ4088-4-4-422-4-4-402-12-100022002200000000-1-10000000000088-4-4-422-4-4-402-12-100022002200000000-1-100000000000
χ418-88-82-44-20002-4-240000000000000000000000000000008-88-82-44-20002-4-24000000000000000000000000000000
χ428-8-442-44-2000-121-2000002i3−2i3000000000000−i3i30000000008-8-442-44-2000-121-2000002i3−2i3000000000000−i3i3000000000
χ438-8-442-44-2000-121-200000−2i32i3000000000000i3−i30000000008-8-442-44-2000-121-200000−2i32i3000000000000i3−i3000000000
χ448-8-44-42-244-402-1-21000-2200-22000000001-1000000000008-8-44-42-244-402-1-21000-2200-22000000001-100000000000
χ458-8-44-42-24-4402-1-210002-2002-200000000-11000000000008-8-44-42-24-4402-1-210002-2002-200000000-1100000000000
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
χ4711111111111111111-111-1-1111111111-111-1-1-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-11-1-11111-1-111-111
χ481111111111-11111111111111-1-1-1-111-111111-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-1-11-111-1-1111
χ491111111111-1111111-111-1-111-1-1-1-111-1-111-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11-1-111-1-11111-1-111-1-111-1111111-1-1
χ5011111111-1-111111111-1-111-1-111-1-11111-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-1-111111-1-11
χ5111111111-1-11111111-1-1-1-1-1-1-111-1-1111-1-1-1-1-1-11-1-1111-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111111-1-111-1-1-1111111-111-1-1-11-1
χ5211111111-1-1-11111111-1-111-1-1-1-11111-11-1-111-1-111-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-111-1-11111-1-1-1-11-111-1-111-1-11111-1
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
χ54222222220022222-2-200000002200-2-2200000000000-200-2-2-2-2-2-2-2-200-2-2-2-2-2220000000-2-20022-200000000000200
χ552222222200-22222-2-20000000-2-200-2-2-200000000000200-2-2-2-2-2-2-2-2002-2-2-2-2220000000220022200000000000-200
χ5622-1-12222220-1-1-1-1222-1-1-1-1220000-1-102-1-1-1-10200-1-1000-2-211-2-2-2-2-2-201111-2-2-21111-2-20000110-211110-20011000
χ5722-1-12222220-1-1-1-122-2-1-111220000-1-10-2-1-1110-20011000-2-211-2-2-2-2-2-201111-2-2211-1-1-2-20000110211-1-10200-1-1000
χ5822-1-12222-2-20-1-1-1-122211-1-1-2-20000-1-10211-1-10-20011000-2-211-2-2-2-22201111-2-2-2-1-111220000110-2-1-1110200-1-1000
χ5922-1-12222-2-20-1-1-1-122-21111-2-20000-1-10-211110200-1-1000-2-211-2-2-2-22201111-2-22-1-1-1-12200001102-1-1-1-10-20011000
χ602-22-222-2-200022-2-2-220000000002-22-2000000002-200000-22-22-2-222000-2-2222-2000000000-22-2200000000-2200000
χ612-22-222-2-200022-2-2-22000000000-222-200000000-2200000-22-22-2-222000-2-2222-20000000002-2-22000000002-200000
χ622-22-222-2-22-2022-2-22-202-2002-20000-22002-200000000000-22-22-2-222-220-2-222-220-2200-2200002-200-2200000000000
χ632-22-222-2-2-22022-2-22-20-2200-220000-2200-2200000000000-22-22-2-2222-20-2-222-2202-2002-200002-2002-200000000000
χ642-2-1122-2-22-20-1-1112-20-11i3−i32-200001-100-11i3−i30000i3−i3000-221-1-2-222-22011-1-1-2201-1−i3i3-220000-11001-1−i3i30000−i3i3000
χ652-2-1122-2-22-20-1-1112-20-11−i3i32-200001-100-11−i3i30000−i3i3000-221-1-2-222-22011-1-1-2201-1i3−i3-220000-11001-1i3−i30000i3−i3000
χ662-2-1122-2-2-220-1-1112-201-1i3−i3-2200001-1001-1i3−i30000−i3i3000-221-1-2-2222-2011-1-1-220-11−i3i32-20000-1100-11−i3i30000i3−i3000
χ672-2-1122-2-2-220-1-1112-201-1−i3i3-2200001-1001-1−i3i30000i3−i3000-221-1-2-2222-2011-1-1-220-11i3−i32-20000-1100-11i3−i30000−i3i3000
χ6844441-2-210041-21-2002002200-2-200001-100-1-12000000-10-4-4-4-4-122-100-4-12-1200-200-2-200220000-110011-200000010
χ6944441-2-210041-21-200-200-2-200-2-20000110011-200000010-4-4-4-4-122-100-4-12-12002002200220000-1-100-1-12000000-10
χ7044441-2-2100-41-21-2002002200220000-1-100-1-1-200000010-4-4-4-4-122-1004-12-1200-200-2-200-2-200001100112000000-10
χ7144441-2-2100-41-21-200-200-2-200220000-1100112000000-10-4-4-4-4-122-1004-12-12002002200-2-200001-100-1-1-200000010
χ724444-211-2224-21-210002200-1-1112200-20-1-10000-1-100000-4-4-4-42-1-12-2-2-42-12-1000-2-20011-1-1-2-200201100001100000
χ734444-211-222-4-21-210002200-1-1-1-1-2-20020-1-100001100000-4-4-4-42-1-12-2-242-12-1000-2-20011112200-20110000-1-100000
χ744444-211-2-2-24-21-21000-2-2001111-2-200-201100001100000-4-4-4-42-1-1222-42-12-10002200-1-1-1-1220020-1-10000-1-100000
χ754444-211-2-2-2-4-21-21000-2-20011-1-1220020110000-1-100000-4-4-4-42-1-122242-12-10002200-1-111-2-200-20-1-100001100000
χ7644-2-24444000-2-2-2-2-4-40000000000022000000000000000-4-422-4-4-4-400022224400000000000-2-2000000000000000
χ774-44-4-21-122-20-212-10002-200-113-32-20000-110000-1100000-44-442-11-2-2202-1-21000-22001-1-33-2200001-100001-100000
χ784-44-4-21-122-20-212-10002-200-11-33-220000-1100001-100000-44-442-11-2-2202-1-21000-22001-13-32-200001-10000-1100000
χ794-44-4-21-12-220-212-1000-22001-13-3-2200001-100001-100000-44-442-11-22-202-1-210002-200-11-332-20000-110000-1100000
χ804-44-4-21-12-220-212-1000-22001-1-332-200001-10000-1100000-44-442-11-22-202-1-210002-200-113-3-220000-1100001-100000
χ814-4-2244-4-4000-2-222-4400000000000-22000000000000000-442-2-4-44400022-2-24-4000000000002-2000000000000000
χ8288-4-42-4-42000-12-1200400-2-2000000000-20011000000000-8-844-244-20001-21-200-40022000000000200-1-1000000000
χ8388-4-42-4-42000-12-1200-40022000000000200-1-1000000000-8-844-244-20001-21-200400-2-2000000000-20011000000000
χ8488-4-4-422-44402-12-1000-2-200-2-2000000001100000000000-8-8444-2-24-4-40-21-2100022002200000000-1-100000000000
χ8588-4-4-422-4-4-402-12-100022002200000000-1-100000000000-8-8444-2-24440-21-21000-2-200-2-2000000001100000000000
χ868-88-82-44-20002-4-24000000000000000000000000000000-88-88-24-42000-242-4000000000000000000000000000000
χ878-8-442-44-2000-121-2000002i3−2i3000000000000−i3i3000000000-884-4-24-420001-2-1200000−2i32i3000000000000i3−i3000000000
χ888-8-442-44-2000-121-200000−2i32i3000000000000i3−i3000000000-884-4-24-420001-2-12000002i3−2i3000000000000−i3i3000000000
χ898-8-44-42-244-402-1-21000-2200-22000000001-100000000000-884-44-22-4-440-212-10002-2002-200000000-1100000000000
χ908-8-44-42-24-4402-1-210002-2002-200000000-1100000000000-884-44-22-44-40-212-1000-2200-22000000001-100000000000

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