Finite Group Databasebeta

← Group #13180839

Character table — Group #13180839

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size112222334466666668888881212161616161616181818242424242424363636363636108108112222334466666668888881212161616161616181818242424242424363636363636108108
order12336622362666666333666663336662666666664412121212242266662266266666666666666666666266666666441212121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111-1111-1-1111111111111111-1-1-1-1-1-1-1-1-1111111-1-11111111111-1111-1-1111111111111111-1-1-1-1-1-1-1-1-1111111-1-1
χ41111111111-1111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
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
χ62222222222-2222-2-22-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2111111000000002222222222-2222-2-22-1-1-1-1-1-122-1-1-1-1-1-1-2-2-211111100000000
χ7222-1-1222-1-122-1-1-1-122-1-12-1-1-1-12-1-12-1-12-1-122-1-1-1-100000000222-1-1222-1-122-1-1-1-122-1-12-1-1-1-12-1-12-1-12-1-122-1-1-1-100000000
χ8222-1-1222-1-122-1-1-1-12-12-1-12-1-1-1-12-1-12-12-1-1-1-122-1-100000000222-1-1222-1-122-1-1-1-12-12-1-12-1-1-1-12-1-12-12-1-1-1-122-1-100000000
χ9222-1-1222-1-122-1-1-1-12-1-12-1-12-1-1-1-12-1-122-1-1-1-1-1-12200000000222-1-1222-1-122-1-1-1-12-1-12-1-12-1-1-1-12-1-122-1-1-1-1-1-12200000000
χ10222-1-1222-1-1-22-1-11122-1-12-1-1-1-12-1-12-1-1-211-2-2111100000000222-1-1222-1-1-22-1-11122-1-12-1-1-1-12-1-12-1-1-211-2-2111100000000
χ11222-1-1222-1-1-22-1-1112-12-1-12-1-1-1-12-1-12-1-21111-2-21100000000222-1-1222-1-1-22-1-1112-12-1-12-1-1-1-12-1-12-1-21111-2-21100000000
χ12222-1-1222-1-1-22-1-1112-1-12-1-12-1-1-1-12-1-12-2111111-2-200000000222-1-1222-1-1-22-1-1112-1-12-1-12-1-1-1-12-1-12-2111111-2-200000000
χ1322-122-122-1-10-12200-1222222-1-1-1-1-1-1-1-100000000022-1-1-1-10022-122-122-1-10-12200-1222222-1-1-1-1-1-1-1-100000000022-1-1-1-100
χ1422-122-122-1-10-12200-1222222-1-1-1-1-1-1-1-1000000000-2-211110022-122-122-1-10-12200-1222222-1-1-1-1-1-1-1-1000000000-2-2111100
χ152-222-2-2-222-2022-200-2222-2-2-22-2222-2-2-2000000000000000002-222-2-2-222-2022-200-2222-2-2-22-2222-2-2-200000000000000000
χ162-222-2-2-222-2022-200-2-1-1-11112-2-1-1-1111000−i3i3−i3i3−i3i3000000002-222-2-2-222-2022-200-2-1-1-11112-2-1-1-1111000−i3i3−i3i3−i3i300000000
χ172-222-2-2-222-2022-200-2-1-1-11112-2-1-1-1111000i3−i3i3−i3i3−i3000000002-222-2-2-222-2022-200-2-1-1-11112-2-1-1-1111000i3−i3i3−i3i3−i300000000
χ182-22-11-2-22-1102-11−i3i3-22-1-1-211-112-1-1-2110−i3i300−i3i3i3−i3000000002-22-11-2-22-1102-11−i3i3-22-1-1-211-112-1-1-2110−i3i300−i3i3i3−i300000000
χ192-22-11-2-22-1102-11−i3i3-2-12-11-21-11-12-11-210−i3i3i3−i300−i3i3000000002-22-11-2-22-1102-11−i3i3-2-12-11-21-11-12-11-210−i3i3i3−i300−i3i300000000
χ202-22-11-2-22-1102-11−i3i3-2-1-1211-2-11-1-1211-20−i3i3−i3i3i3−i300000000002-22-11-2-22-1102-11−i3i3-2-1-1211-2-11-1-1211-20−i3i3−i3i3i3−i30000000000
χ212-22-11-2-22-1102-11i3−i3-22-1-1-211-112-1-1-2110i3−i300i3−i3−i3i3000000002-22-11-2-22-1102-11i3−i3-22-1-1-211-112-1-1-2110i3−i300i3−i3−i3i300000000
χ222-22-11-2-22-1102-11i3−i3-2-12-11-21-11-12-11-210i3−i3−i3i300i3−i3000000002-22-11-2-22-1102-11i3−i3-2-12-11-21-11-12-11-210i3−i3−i3i300i3−i300000000
χ232-22-11-2-22-1102-11i3−i3-2-1-1211-2-11-1-1211-20i3−i3i3−i3−i3i300000000002-22-11-2-22-1102-11i3−i3-2-1-1211-2-11-1-1211-20i3−i3i3−i3−i3i30000000000
χ242-2-12-21-22-110-12-2001222-2-2-2-11-1-1-1111000000000003−33−3002-2-12-21-22-110-12-2001222-2-2-2-11-1-1-1111000000000003−33−300
χ252-2-12-21-22-110-12-2001222-2-2-2-11-1-1-111100000000000−33−33002-2-12-21-22-110-12-2001222-2-2-2-11-1-1-111100000000000−33−3300
χ26333333-1-1333-1-1-133-1000000-1-1000000-1-1-10000001-111-1-11-1333333-1-1333-1-1-133-1000000-1-1000000-1-1-10000001-111-1-11-1
χ27333333-1-1333-1-1-133-1000000-1-1000000-1-1-1000000-11-1-111-11333333-1-1333-1-1-133-1000000-1-1000000-1-1-1000000-11-1-111-11
χ28333333-1-133-3-1-1-1-3-3-1000000-1-10000001110000001-111-1-1-11333333-1-133-3-1-1-1-3-3-1000000-1-10000001110000001-111-1-1-11
χ29333333-1-133-3-1-1-1-3-3-1000000-1-1000000111000000-11-1-1111-1333333-1-133-3-1-1-1-3-3-1000000-1-1000000111000000-11-1-1111-1
χ3044-244-244-2-20-24400-2-2-2-2-2-2-2-2-21111110000000000000000044-244-244-2-20-24400-2-2-2-2-2-2-2-2-211111100000000000000000
χ3144-2-2-2-244110-2-2-200-24-2-24-2-211-211-2110000000000000000044-2-2-2-244110-2-2-200-24-2-24-2-211-211-21100000000000000000
χ3244-2-2-2-244110-2-2-200-2-24-2-24-2111-211-210000000000000000044-2-2-2-244110-2-2-200-2-24-2-24-2111-211-2100000000000000000
χ3344-2-2-2-244110-2-2-200-2-2-24-2-241111-211-20000000000000000044-2-2-2-244110-2-2-200-2-2-24-2-241111-211-200000000000000000
χ344-4-24-42-44-220-24-4002-2-2-2222-22111-1-1-1000000000000000004-4-24-42-44-220-24-4002-2-2-2222-22111-1-1-100000000000000000
χ354-4-2-222-441-10-2-220024-2-2-4221-1-2112-1-1000000000000000004-4-2-222-441-10-2-220024-2-2-4221-1-2112-1-100000000000000000
χ364-4-2-222-441-10-2-22002-24-22-421-11-21-12-1000000000000000004-4-2-222-441-10-2-22002-24-22-421-11-21-12-100000000000000000
χ374-4-2-222-441-10-2-22002-2-2422-41-111-2-1-12000000000000000004-4-2-222-441-10-2-22002-2-2422-41-111-2-1-1200000000000000000
χ38666-3-36-2-2-3-36-211-3-3-200000011000000-21100000000000000666-3-36-2-2-3-36-211-3-3-200000011000000-21100000000000000
χ39666-3-36-2-2-3-3-6-21133-2000000110000002-1-100000000000000666-3-36-2-2-3-3-6-21133-2000000110000002-1-100000000000000
χ4066-366-3-2-2-3-301-2-2001000000110000000000000002-2-1-1110066-366-3-2-2-3-301-2-2001000000110000000000000002-2-1-11100
χ4166-366-3-2-2-3-301-2-200100000011000000000000000-2211-1-10066-366-3-2-2-3-301-2-200100000011000000000000000-2211-1-100
χ426-666-6-62-26-60-2-22002000000-22000000000000000000000006-666-6-62-26-60-2-22002000000-2200000000000000000000000
χ436-66-33-62-2-330-21-1−3i33i320000001-10000000i3−i3000000000000006-66-33-62-2-330-21-1−3i33i320000001-10000000i3−i300000000000000
χ446-66-33-62-2-330-21-13i3−3i320000001-10000000−i3i3000000000000006-66-33-62-2-330-21-13i3−3i320000001-10000000−i3i300000000000000
χ456-6-36-632-2-3301-2200-10000001-1000000000000000003−3−33006-6-36-632-2-3301-2200-10000001-1000000000000000003−3−3300
χ466-6-36-632-2-3301-2200-10000001-100000000000000000−333−3006-6-36-632-2-3301-2200-10000001-100000000000000000−333−300
χ471212-6-6-6-6-4-4330222002000000-1-1000000000000000000000001212-6-6-6-6-4-4330222002000000-1-100000000000000000000000
χ4812-12-6-6664-43-3022-200-2000000-110000000000000000000000012-12-6-6664-43-3022-200-2000000-1100000000000000000000000
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
χ511111111111-1111-1-1111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-111
χ521111111111-1111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1
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
χ542222222222-2222-2-22-1-1-1-1-1-122-1-1-1-1-1-1-2-2-211111100000000-2-2-2-2-2-2-2-2-2-22-2-2-222-2111111-2-2111111222-1-1-1-1-1-100000000
χ55222-1-1222-1-122-1-1-1-122-1-12-1-1-1-12-1-12-1-12-1-122-1-1-1-100000000-2-2-211-2-2-211-2-21111-2-211-21111-211-211-211-2-2111100000000
χ56222-1-1222-1-122-1-1-1-12-12-1-12-1-1-1-12-1-12-12-1-1-1-122-1-100000000-2-2-211-2-2-211-2-21111-21-211-21111-211-21-21111-2-21100000000
χ57222-1-1222-1-122-1-1-1-12-1-12-1-12-1-1-1-12-1-122-1-1-1-1-1-12200000000-2-2-211-2-2-211-2-21111-211-211-21111-211-2-2111111-2-200000000
χ58222-1-1222-1-1-22-1-11122-1-12-1-1-1-12-1-12-1-1-211-2-2111100000000-2-2-211-2-2-2112-211-1-1-2-211-21111-211-2112-1-122-1-1-1-100000000
χ59222-1-1222-1-1-22-1-1112-12-1-12-1-1-1-12-1-12-1-21111-2-21100000000-2-2-211-2-2-2112-211-1-1-21-211-21111-211-212-1-1-1-122-1-100000000
χ60222-1-1222-1-1-22-1-1112-1-12-1-12-1-1-1-12-1-12-2111111-2-200000000-2-2-211-2-2-2112-211-1-1-211-211-21111-211-22-1-1-1-1-1-12200000000
χ6122-122-122-1-10-12200-1222222-1-1-1-1-1-1-1-100000000022-1-1-1-100-2-21-2-21-2-21101-2-2001-2-2-2-2-2-211111111000000000-2-2111100
χ6222-122-122-1-10-12200-1222222-1-1-1-1-1-1-1-1000000000-2-2111100-2-21-2-21-2-21101-2-2001-2-2-2-2-2-21111111100000000022-1-1-1-100
χ632-222-2-2-222-2022-200-2222-2-2-22-2222-2-2-200000000000000000-22-2-2222-2-220-2-22002-2-2-2222-22-2-2-222200000000000000000
χ642-222-2-2-222-2022-200-2-1-1-11112-2-1-1-1111000−i3i3−i3i3−i3i300000000-22-2-2222-2-220-2-22002111-1-1-1-22111-1-1-1000i3−i3i3−i3i3−i300000000
χ652-222-2-2-222-2022-200-2-1-1-11112-2-1-1-1111000i3−i3i3−i3i3−i300000000-22-2-2222-2-220-2-22002111-1-1-1-22111-1-1-1000−i3i3−i3i3−i3i300000000
χ662-22-11-2-22-1102-11−i3i3-22-1-1-211-112-1-1-2110−i3i300−i3i3i3−i300000000-22-21-122-21-10-21-1i3−i32-2112-1-11-1-2112-1-10i3−i300i3−i3−i3i300000000
χ672-22-11-2-22-1102-11−i3i3-2-12-11-21-11-12-11-210−i3i3i3−i300−i3i300000000-22-21-122-21-10-21-1i3−i321-21-12-11-11-21-12-10i3−i3−i3i300i3−i300000000
χ682-22-11-2-22-1102-11−i3i3-2-1-1211-2-11-1-1211-20−i3i3−i3i3i3−i30000000000-22-21-122-21-10-21-1i3−i3211-2-1-121-111-2-1-120i3−i3i3−i3−i3i30000000000
χ692-22-11-2-22-1102-11i3−i3-22-1-1-211-112-1-1-2110i3−i300i3−i3−i3i300000000-22-21-122-21-10-21-1−i3i32-2112-1-11-1-2112-1-10−i3i300−i3i3i3−i300000000
χ702-22-11-2-22-1102-11i3−i3-2-12-11-21-11-12-11-210i3−i3−i3i300i3−i300000000-22-21-122-21-10-21-1−i3i321-21-12-11-11-21-12-10−i3i3i3−i300−i3i300000000
χ712-22-11-2-22-1102-11i3−i3-2-1-1211-2-11-1-1211-20i3−i3i3−i3−i3i30000000000-22-21-122-21-10-21-1−i3i3211-2-1-121-111-2-1-120−i3i3−i3i3i3−i30000000000
χ722-2-12-21-22-110-12-2001222-2-2-2-11-1-1-1111000000000003−33−300-221-22-12-21-101-2200-1-2-2-22221-1111-1-1-100000000000−33−3300
χ732-2-12-21-22-110-12-2001222-2-2-2-11-1-1-111100000000000−33−3300-221-22-12-21-101-2200-1-2-2-22221-1111-1-1-1000000000003−33−300
χ74333333-1-1333-1-1-133-1000000-1-1000000-1-1-10000001-111-1-11-1-3-3-3-3-3-311-3-3-3111-3-3100000011000000111000000-11-1-111-11
χ75333333-1-1333-1-1-133-1000000-1-1000000-1-1-1000000-11-1-111-11-3-3-3-3-3-311-3-3-3111-3-31000000110000001110000001-111-1-11-1
χ76333333-1-133-3-1-1-1-3-3-1000000-1-10000001110000001-111-1-1-11-3-3-3-3-3-311-3-3311133100000011000000-1-1-1000000-11-1-1111-1
χ77333333-1-133-3-1-1-1-3-3-1000000-1-1000000111000000-11-1-1111-1-3-3-3-3-3-311-3-3311133100000011000000-1-1-10000001-111-1-1-11
χ7844-244-244-2-20-24400-2-2-2-2-2-2-2-2-211111100000000000000000-4-42-4-42-4-42202-4-400222222222-1-1-1-1-1-100000000000000000
χ7944-2-2-2-244110-2-2-200-24-2-24-2-211-211-21100000000000000000-4-42222-4-4-1-10222002-422-422-1-12-1-12-1-100000000000000000
χ8044-2-2-2-244110-2-2-200-2-24-2-24-2111-211-2100000000000000000-4-42222-4-4-1-102220022-422-42-1-1-12-1-12-100000000000000000
χ8144-2-2-2-244110-2-2-200-2-2-24-2-241111-211-200000000000000000-4-42222-4-4-1-1022200222-422-4-1-1-1-12-1-1200000000000000000
χ824-4-24-42-44-220-24-4002-2-2-2222-22111-1-1-100000000000000000-442-44-24-42-202-4400-2222-2-2-22-2-1-1-111100000000000000000
χ834-4-2-222-441-10-2-220024-2-2-4221-1-2112-1-100000000000000000-4422-2-24-4-11022-200-2-4224-2-2-112-1-1-21100000000000000000
χ844-4-2-222-441-10-2-22002-24-22-421-11-21-12-100000000000000000-4422-2-24-4-11022-200-22-42-24-2-11-12-11-2100000000000000000
χ854-4-2-222-441-10-2-22002-2-2422-41-111-2-1-1200000000000000000-4422-2-24-4-11022-200-222-4-2-24-11-1-1211-200000000000000000
χ86666-3-36-2-2-3-36-211-3-3-200000011000000-21100000000000000-6-6-633-62233-62-1-1332000000-1-10000002-1-100000000000000
χ87666-3-36-2-2-3-3-6-21133-2000000110000002-1-100000000000000-6-6-633-6223362-1-1-3-32000000-1-1000000-21100000000000000
χ8866-366-3-2-2-3-301-2-2001000000110000000000000002-2-1-11100-6-63-6-6322330-12200-1000000-1-1000000000000000-2211-1-100
χ8966-366-3-2-2-3-301-2-200100000011000000000000000-2211-1-100-6-63-6-6322330-12200-1000000-1-10000000000000002-2-1-11100
χ906-666-6-62-26-60-2-22002000000-2200000000000000000000000-66-6-666-22-66022-200-20000002-200000000000000000000000
χ916-66-33-62-2-330-21-1−3i33i320000001-10000000i3−i300000000000000-66-63-36-223-302-113i3−3i3-2000000-110000000−i3i300000000000000
χ926-66-33-62-2-330-21-13i3−3i320000001-10000000−i3i300000000000000-66-63-36-223-302-11−3i33i3-2000000-110000000i3−i300000000000000
χ936-6-36-632-2-3301-2200-10000001-1000000000000000003−3−3300-663-66-3-223-30-12-2001000000-1100000000000000000−333−300
χ946-6-36-632-2-3301-2200-10000001-100000000000000000−333−300-663-66-3-223-30-12-2001000000-11000000000000000003−3−3300
χ951212-6-6-6-6-4-4330222002000000-1-100000000000000000000000-12-12666644-3-30-2-2-200-20000001100000000000000000000000
χ9612-12-6-6664-43-3022-200-2000000-1100000000000000000000000-121266-6-6-44-330-2-220020000001-100000000000000000000000

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