Finite Group Databasebeta

← Group #13180838

Character table — Group #13180838

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size112222334466666668888881212161616161616181818242424242424363636363636108108112222334466666668888881212161616161616181818242424242424363636363636108108
order1233662236266666633366666333666266666666246612124422666622662666666666666666666662666666662466121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111-111-1-11111111111111111-1-1-1-1-1-1-1-1-1111111-1-11111111111-111-1-11111111111111111-1-1-1-1-1-1-1-1-1111111-1-1
χ41111111111-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ522222222222222222-1-1-1-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-10000000022222222222222222-1-1-1-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-100000000
χ62222222222-222-2-222-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2111111000000002222222222-222-2-222-1-1-1-1-1-122-1-1-1-1-1-1-2-2-211111100000000
χ7222-12-122-1-102200-1-1222222-1-1-1-1-1-1-1-100000000022-1-1-1-100222-12-122-1-102200-1-1222222-1-1-1-1-1-1-1-100000000022-1-1-1-100
χ8222-12-122-1-102200-1-1222222-1-1-1-1-1-1-1-1000000000-2-2111100222-12-122-1-102200-1-1222222-1-1-1-1-1-1-1-1000000000-2-2111100
χ922-12-1222-1-12-1-1-1-1222-1-12-1-1-1-12-1-12-1-12-1-122-1-1-1-10000000022-12-1222-1-12-1-1-1-1222-1-12-1-1-1-12-1-12-1-12-1-122-1-1-1-100000000
χ1022-12-1222-1-12-1-1-1-122-12-1-12-1-1-1-12-1-12-12-1-1-1-122-1-10000000022-12-1222-1-12-1-1-1-122-12-1-12-1-1-1-12-1-12-12-1-1-1-122-1-100000000
χ1122-12-1222-1-12-1-1-1-122-1-12-1-12-1-1-1-12-1-122-1-1-1-1-1-1220000000022-12-1222-1-12-1-1-1-122-1-12-1-12-1-1-1-12-1-122-1-1-1-1-1-12200000000
χ1222-12-1222-1-1-2-1-111222-1-12-1-1-1-12-1-12-1-1-211-2-211110000000022-12-1222-1-1-2-1-111222-1-12-1-1-1-12-1-12-1-1-211-2-2111100000000
χ1322-12-1222-1-1-2-1-11122-12-1-12-1-1-1-12-1-12-1-21111-2-2110000000022-12-1222-1-1-2-1-11122-12-1-12-1-1-1-12-1-12-1-21111-2-21100000000
χ1422-12-1222-1-1-2-1-11122-1-12-1-12-1-1-1-12-1-12-2111111-2-20000000022-12-1222-1-1-2-1-11122-1-12-1-12-1-1-1-12-1-12-2111111-2-200000000
χ152-222-2-22-22-202-200-22222-2-2-22-2222-2-2-2000000000000000002-222-2-22-22-202-200-22222-2-2-22-2222-2-2-200000000000000000
χ162-222-2-22-22-202-200-22-1-1-11112-2-1-1-1111000i3−i3i3−i3i3−i3000000002-222-2-22-22-202-200-22-1-1-11112-2-1-1-1111000i3−i3i3−i3i3−i300000000
χ172-222-2-22-22-202-200-22-1-1-11112-2-1-1-1111000−i3i3−i3i3−i3i3000000002-222-2-22-22-202-200-22-1-1-11112-2-1-1-1111000−i3i3−i3i3−i3i300000000
χ182-22-1-212-2-1102-2001-1222-2-2-2-11-1-1-111100000000000i3−i3i3−i3002-22-1-212-2-1102-2001-1222-2-2-2-11-1-1-111100000000000i3−i3i3−i300
χ192-22-1-212-2-1102-2001-1222-2-2-2-11-1-1-111100000000000−i3i3−i3i3002-22-1-212-2-1102-2001-1222-2-2-2-11-1-1-111100000000000−i3i3−i3i300
χ202-2-121-22-2-110-11i3−i3-222-1-1-211-112-1-1-2110i3−i300i3−i3−i3i3000000002-2-121-22-2-110-11i3−i3-222-1-1-211-112-1-1-2110i3−i300i3−i3−i3i300000000
χ212-2-121-22-2-110-11i3−i3-22-12-11-21-11-12-11-210i3−i3−i3i300i3−i3000000002-2-121-22-2-110-11i3−i3-22-12-11-21-11-12-11-210i3−i3−i3i300i3−i300000000
χ222-2-121-22-2-110-11i3−i3-22-1-1211-2-11-1-1211-20i3−i3i3−i3−i3i300000000002-2-121-22-2-110-11i3−i3-22-1-1211-2-11-1-1211-20i3−i3i3−i3−i3i30000000000
χ232-2-121-22-2-110-11−i3i3-222-1-1-211-112-1-1-2110−i3i300−i3i3i3−i3000000002-2-121-22-2-110-11−i3i3-222-1-1-211-112-1-1-2110−i3i300−i3i3i3−i300000000
χ242-2-121-22-2-110-11−i3i3-22-12-11-21-11-12-11-210−i3i3i3−i300−i3i3000000002-2-121-22-2-110-11−i3i3-22-12-11-21-11-12-11-210−i3i3i3−i300−i3i300000000
χ252-2-121-22-2-110-11−i3i3-22-1-1211-2-11-1-1211-20−i3i3−i3i3i3−i300000000002-2-121-22-2-110-11−i3i3-22-1-1211-2-11-1-1211-20−i3i3−i3i3i3−i30000000000
χ26333333-1-1333-1-133-1-1000000-1-1000000-1-1-10000001-111-1-11-1333333-1-1333-1-133-1-1000000-1-1000000-1-1-10000001-111-1-11-1
χ27333333-1-1333-1-133-1-1000000-1-1000000-1-1-1000000-11-1-111-11333333-1-1333-1-133-1-1000000-1-1000000-1-1-1000000-11-1-111-11
χ28333333-1-133-3-1-1-3-3-1-1000000-1-10000001110000001-111-1-1-11333333-1-133-3-1-1-3-3-1-1000000-1-10000001110000001-111-1-1-11
χ29333333-1-133-3-1-1-3-3-1-1000000-1-1000000111000000-11-1-1111-1333333-1-133-3-1-1-3-3-1-1000000-1-1000000111000000-11-1-1111-1
χ30444-24-244-2-204400-2-2-2-2-2-2-2-2-2-211111100000000000000000444-24-244-2-204400-2-2-2-2-2-2-2-2-2-211111100000000000000000
χ3144-2-2-2-244110-2-200-2-24-2-24-2-211-211-2110000000000000000044-2-2-2-244110-2-200-2-24-2-24-2-211-211-21100000000000000000
χ3244-2-2-2-244110-2-200-2-2-24-2-24-2111-211-210000000000000000044-2-2-2-244110-2-200-2-2-24-2-24-2111-211-2100000000000000000
χ3344-2-2-2-244110-2-200-2-2-2-24-2-241111-211-20000000000000000044-2-2-2-244110-2-200-2-2-2-24-2-241111-211-200000000000000000
χ344-44-2-424-4-2204-4002-2-2-2-2222-22111-1-1-1000000000000000004-44-2-424-4-2204-4002-2-2-2-2222-22111-1-1-100000000000000000
χ354-4-2-2224-41-10-22002-24-2-2-4221-1-2112-1-1000000000000000004-4-2-2224-41-10-22002-24-2-2-4221-1-2112-1-100000000000000000
χ364-4-2-2224-41-10-22002-2-24-22-421-11-21-12-1000000000000000004-4-2-2224-41-10-22002-2-24-22-421-11-21-12-100000000000000000
χ374-4-2-2224-41-10-22002-2-2-2422-41-111-2-1-12000000000000000004-4-2-2224-41-10-22002-2-2-2422-41-111-2-1-1200000000000000000
χ38666-36-3-2-2-3-30-2-20011000000110000000000000002-2-1-11100666-36-3-2-2-3-30-2-20011000000110000000000000002-2-1-11100
χ39666-36-3-2-2-3-30-2-2001100000011000000000000000-2211-1-100666-36-3-2-2-3-30-2-2001100000011000000000000000-2211-1-100
χ4066-36-36-2-2-3-3611-3-3-2-200000011000000-2110000000000000066-36-36-2-2-3-3611-3-3-2-200000011000000-21100000000000000
χ4166-36-36-2-2-3-3-61133-2-2000000110000002-1-10000000000000066-36-36-2-2-3-3-61133-2-2000000110000002-1-100000000000000
χ426-666-6-6-226-60-22002-2000000-22000000000000000000000006-666-6-6-226-60-22002-2000000-2200000000000000000000000
χ436-66-3-63-22-330-2200-110000001-100000000000000000i3−i3−i3i3006-66-3-63-22-330-2200-110000001-100000000000000000i3−i3−i3i300
χ446-66-3-63-22-330-2200-110000001-100000000000000000−i3i3i3−i3006-66-3-63-22-330-2200-110000001-100000000000000000−i3i3i3−i300
χ456-6-363-6-22-3301-13i3−3i32-20000001-10000000−i3i3000000000000006-6-363-6-22-3301-13i3−3i32-20000001-10000000−i3i300000000000000
χ466-6-363-6-22-3301-1−3i33i32-20000001-10000000i3−i3000000000000006-6-363-6-22-3301-1−3i33i32-20000001-10000000i3−i300000000000000
χ471212-6-6-6-6-4-4330220022000000-1-1000000000000000000000001212-6-6-6-6-4-4330220022000000-1-100000000000000000000000
χ4812-12-6-666-443-302-200-22000000-110000000000000000000000012-12-6-666-443-302-200-22000000-1100000000000000000000000
χ49111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ501111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111-111-1-11111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-111
χ521111111111-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1
χ5322222222222222222-1-1-1-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-100000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111-2-2111111-2-2-211111100000000
χ542222222222-222-2-222-1-1-1-1-1-122-1-1-1-1-1-1-2-2-211111100000000-2-2-2-2-2-2-2-2-2-22-2-222-2-2111111-2-2111111222-1-1-1-1-1-100000000
χ55222-12-122-1-102200-1-1222222-1-1-1-1-1-1-1-100000000022-1-1-1-100-2-2-21-21-2-2110-2-20011-2-2-2-2-2-211111111000000000-2-2111100
χ56222-12-122-1-102200-1-1222222-1-1-1-1-1-1-1-1000000000-2-2111100-2-2-21-21-2-2110-2-20011-2-2-2-2-2-21111111100000000022-1-1-1-100
χ5722-12-1222-1-12-1-1-1-1222-1-12-1-1-1-12-1-12-1-12-1-122-1-1-1-100000000-2-21-21-2-2-211-21111-2-2-211-21111-211-211-211-2-2111100000000
χ5822-12-1222-1-12-1-1-1-122-12-1-12-1-1-1-12-1-12-12-1-1-1-122-1-100000000-2-21-21-2-2-211-21111-2-21-211-21111-211-21-21111-2-21100000000
χ5922-12-1222-1-12-1-1-1-122-1-12-1-12-1-1-1-12-1-122-1-1-1-1-1-12200000000-2-21-21-2-2-211-21111-2-211-211-21111-211-2-2111111-2-200000000
χ6022-12-1222-1-1-2-1-111222-1-12-1-1-1-12-1-12-1-1-211-2-2111100000000-2-21-21-2-2-211211-1-1-2-2-211-21111-211-2112-1-122-1-1-1-100000000
χ6122-12-1222-1-1-2-1-11122-12-1-12-1-1-1-12-1-12-1-21111-2-21100000000-2-21-21-2-2-211211-1-1-2-21-211-21111-211-212-1-1-1-122-1-100000000
χ6222-12-1222-1-1-2-1-11122-1-12-1-12-1-1-1-12-1-12-2111111-2-200000000-2-21-21-2-2-211211-1-1-2-211-211-21111-211-22-1-1-1-1-1-12200000000
χ632-222-2-22-22-202-200-22222-2-2-22-2222-2-2-200000000000000000-22-2-222-22-220-22002-2-2-2-2222-22-2-2-222200000000000000000
χ642-222-2-22-22-202-200-22-1-1-11112-2-1-1-1111000i3−i3i3−i3i3−i300000000-22-2-222-22-220-22002-2111-1-1-1-22111-1-1-1000−i3i3−i3i3−i3i300000000
χ652-222-2-22-22-202-200-22-1-1-11112-2-1-1-1111000−i3i3−i3i3−i3i300000000-22-2-222-22-220-22002-2111-1-1-1-22111-1-1-1000i3−i3i3−i3i3−i300000000
χ662-22-1-212-2-1102-2001-1222-2-2-2-11-1-1-111100000000000i3−i3i3−i300-22-212-1-221-10-2200-11-2-2-22221-1111-1-1-100000000000−i3i3−i3i300
χ672-22-1-212-2-1102-2001-1222-2-2-2-11-1-1-111100000000000−i3i3−i3i300-22-212-1-221-10-2200-11-2-2-22221-1111-1-1-100000000000i3−i3i3−i300
χ682-2-121-22-2-110-11i3−i3-222-1-1-211-112-1-1-2110i3−i300i3−i3−i3i300000000-221-2-12-221-101-1−i3i32-2-2112-1-11-1-2112-1-10−i3i300−i3i3i3−i300000000
χ692-2-121-22-2-110-11i3−i3-22-12-11-21-11-12-11-210i3−i3−i3i300i3−i300000000-221-2-12-221-101-1−i3i32-21-21-12-11-11-21-12-10−i3i3i3−i300−i3i300000000
χ702-2-121-22-2-110-11i3−i3-22-1-1211-2-11-1-1211-20i3−i3i3−i3−i3i30000000000-221-2-12-221-101-1−i3i32-211-2-1-121-111-2-1-120−i3i3−i3i3i3−i30000000000
χ712-2-121-22-2-110-11−i3i3-222-1-1-211-112-1-1-2110−i3i300−i3i3i3−i300000000-221-2-12-221-101-1i3−i32-2-2112-1-11-1-2112-1-10i3−i300i3−i3−i3i300000000
χ722-2-121-22-2-110-11−i3i3-22-12-11-21-11-12-11-210−i3i3i3−i300−i3i300000000-221-2-12-221-101-1i3−i32-21-21-12-11-11-21-12-10i3−i3−i3i300i3−i300000000
χ732-2-121-22-2-110-11−i3i3-22-1-1211-2-11-1-1211-20−i3i3−i3i3i3−i30000000000-221-2-12-221-101-1i3−i32-211-2-1-121-111-2-1-120i3−i3i3−i3−i3i30000000000
χ74333333-1-1333-1-133-1-1000000-1-1000000-1-1-10000001-111-1-11-1-3-3-3-3-3-311-3-3-311-3-31100000011000000111000000-11-1-111-11
χ75333333-1-1333-1-133-1-1000000-1-1000000-1-1-1000000-11-1-111-11-3-3-3-3-3-311-3-3-311-3-311000000110000001110000001-111-1-11-1
χ76333333-1-133-3-1-1-3-3-1-1000000-1-10000001110000001-111-1-1-11-3-3-3-3-3-311-3-3311331100000011000000-1-1-1000000-11-1-1111-1
χ77333333-1-133-3-1-1-3-3-1-1000000-1-1000000111000000-11-1-1111-1-3-3-3-3-3-311-3-3311331100000011000000-1-1-10000001-111-1-1-11
χ78444-24-244-2-204400-2-2-2-2-2-2-2-2-2-211111100000000000000000-4-4-42-42-4-4220-4-4002222222222-1-1-1-1-1-100000000000000000
χ7944-2-2-2-244110-2-200-2-24-2-24-2-211-211-21100000000000000000-4-42222-4-4-1-10220022-422-422-1-12-1-12-1-100000000000000000
χ8044-2-2-2-244110-2-200-2-2-24-2-24-2111-211-2100000000000000000-4-42222-4-4-1-102200222-422-42-1-1-12-1-12-100000000000000000
χ8144-2-2-2-244110-2-200-2-2-2-24-2-241111-211-200000000000000000-4-42222-4-4-1-1022002222-422-4-1-1-1-12-1-1200000000000000000
χ824-44-2-424-4-2204-4002-2-2-2-2222-22111-1-1-100000000000000000-44-424-2-442-20-4400-22222-2-2-22-2-1-1-111100000000000000000
χ834-4-2-2224-41-10-22002-24-2-2-4221-1-2112-1-100000000000000000-4422-2-2-44-1102-200-22-4224-2-2-112-1-1-21100000000000000000
χ844-4-2-2224-41-10-22002-2-24-22-421-11-21-12-100000000000000000-4422-2-2-44-1102-200-222-42-24-2-11-12-11-2100000000000000000
χ854-4-2-2224-41-10-22002-2-2-2422-41-111-2-1-1200000000000000000-4422-2-2-44-1102-200-2222-4-2-24-11-1-1211-200000000000000000
χ86666-36-3-2-2-3-30-2-20011000000110000000000000002-2-1-11100-6-6-63-63223302200-1-1000000-1-1000000000000000-2211-1-100
χ87666-36-3-2-2-3-30-2-2001100000011000000000000000-2211-1-100-6-6-63-63223302200-1-1000000-1-10000000000000002-2-1-11100
χ8866-36-36-2-2-3-3611-3-3-2-200000011000000-21100000000000000-6-63-63-62233-6-1-13322000000-1-10000002-1-100000000000000
χ8966-36-36-2-2-3-3-61133-2-2000000110000002-1-100000000000000-6-63-63-622336-1-1-3-322000000-1-1000000-21100000000000000
χ906-666-6-6-226-60-22002-2000000-2200000000000000000000000-66-6-6662-2-6602-200-220000002-200000000000000000000000
χ916-66-3-63-22-330-2200-110000001-100000000000000000i3−i3−i3i300-66-636-32-23-302-2001-1000000-1100000000000000000−i3i3i3−i300
χ926-66-3-63-22-330-2200-110000001-100000000000000000−i3i3i3−i300-66-636-32-23-302-2001-1000000-1100000000000000000i3−i3−i3i300
χ936-6-363-6-22-3301-13i3−3i32-20000001-10000000−i3i300000000000000-663-6-362-23-30-11−3i33i3-22000000-110000000i3−i300000000000000
χ946-6-363-6-22-3301-1−3i33i32-20000001-10000000i3−i300000000000000-663-6-362-23-30-113i3−3i3-22000000-110000000−i3i300000000000000
χ951212-6-6-6-6-4-4330220022000000-1-100000000000000000000000-12-12666644-3-30-2-200-2-20000001100000000000000000000000
χ9612-12-6-666-443-302-200-22000000-1100000000000000000000000-121266-6-64-4-330-22002-20000001-100000000000000000000000

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