Finite Group Databasebeta

← Group #13180835

Character table — Group #13180835

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size112222334466666668888881212161616161616181818242424242424363636363636108108112222334466666668888881212161616161616181818242424242424363636363636108108
order123366223646666121233366666333666412121212121212122466121224226666226646666121266666666666666412121212121212122466121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111-11111-1-111111111111111-1-1-1-1-1-1-1-1-1111111-1-11111111111-11111-1-111111111111111-1-1-1-1-1-1-1-1-1111111-1-1
χ41111111111-11111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
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
χ62222222222-22222-2-2-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2111111000000002222222222-22222-2-2-1-1-1-1-1-122-1-1-1-1-1-1-2-2-211111100000000
χ7222-1-1222-1-1022-1-100222222-1-1-1-1-1-1-1-100000000022-1-1-1-100222-1-1222-1-1022-1-100222222-1-1-1-1-1-1-1-100000000022-1-1-1-100
χ8222-1-1222-1-1022-1-100222222-1-1-1-1-1-1-1-1000000000-2-2111100222-1-1222-1-1022-1-100222222-1-1-1-1-1-1-1-1000000000-2-2111100
χ922-122-122-1-12-1-122-1-12-1-12-1-1-1-12-1-12-1-12-1-122-1-1-1-10000000022-122-122-1-12-1-122-1-12-1-12-1-1-1-12-1-12-1-12-1-122-1-1-1-100000000
χ1022-122-122-1-12-1-122-1-1-12-1-12-1-1-1-12-1-12-12-1-1-1-122-1-10000000022-122-122-1-12-1-122-1-1-12-1-12-1-1-1-12-1-12-12-1-1-1-122-1-100000000
χ1122-122-122-1-12-1-122-1-1-1-12-1-12-1-1-1-12-1-122-1-1-1-1-1-1220000000022-122-122-1-12-1-122-1-1-1-12-1-12-1-1-1-12-1-122-1-1-1-1-1-12200000000
χ1222-122-122-1-1-2-1-122112-1-12-1-1-1-12-1-12-1-1-211-2-211110000000022-122-122-1-1-2-1-122112-1-12-1-1-1-12-1-12-1-1-211-2-2111100000000
χ1322-122-122-1-1-2-1-12211-12-1-12-1-1-1-12-1-12-1-21111-2-2110000000022-122-122-1-1-2-1-12211-12-1-12-1-1-1-12-1-12-1-21111-2-21100000000
χ1422-122-122-1-1-2-1-12211-1-12-1-12-1-1-1-12-1-12-2111111-2-20000000022-122-122-1-1-2-1-12211-1-12-1-12-1-1-1-12-1-12-2111111-2-200000000
χ152-222-2-2-222-202-2-2200222-2-2-22-2222-2-2-2000000000000000002-222-2-2-222-202-2-2200222-2-2-22-2222-2-2-200000000000000000
χ162-222-2-2-222-202-2-2200-1-1-11112-2-1-1-11110003−33−33−3000000002-222-2-2-222-202-2-2200-1-1-11112-2-1-1-11110003−33−33−300000000
χ172-222-2-2-222-202-2-2200-1-1-11112-2-1-1-1111000−33−33−33000000002-222-2-2-222-202-2-2200-1-1-11112-2-1-1-1111000−33−33−3300000000
χ182-22-11-2-22-1102-21-100222-2-2-2-11-1-1-111100000000000−i3i3−i3i3002-22-11-2-22-1102-21-100222-2-2-2-11-1-1-111100000000000−i3i3−i3i300
χ192-22-11-2-22-1102-21-100222-2-2-2-11-1-1-111100000000000i3−i3i3−i3002-22-11-2-22-1102-21-100222-2-2-2-11-1-1-111100000000000i3−i3i3−i300
χ202-2-12-21-22-110-11-223−32-1-1-211-112-1-1-21103−3003−3−33000000002-2-12-21-22-110-11-223−32-1-1-211-112-1-1-21103−3003−3−3300000000
χ212-2-12-21-22-110-11-223−3-12-11-21-11-12-11-2103−3−33003−3000000002-2-12-21-22-110-11-223−3-12-11-21-11-12-11-2103−3−33003−300000000
χ222-2-12-21-22-110-11-223−3-1-1211-2-11-1-1211-203−33−3−3300000000002-2-12-21-22-110-11-223−3-1-1211-2-11-1-1211-203−33−3−330000000000
χ232-2-12-21-22-110-11-22−332-1-1-211-112-1-1-2110−3300−333−3000000002-2-12-21-22-110-11-22−332-1-1-211-112-1-1-2110−3300−333−300000000
χ242-2-12-21-22-110-11-22−33-12-11-21-11-12-11-210−333−300−33000000002-2-12-21-22-110-11-22−33-12-11-21-11-12-11-210−333−300−3300000000
χ252-2-12-21-22-110-11-22−33-1-1211-2-11-1-1211-20−33−333−300000000002-2-12-21-22-110-11-22−33-1-1211-2-11-1-1211-20−33−333−30000000000
χ26333333-1-1333-1-1-1-133000000-1-1000000-1-1-10000001-111-1-11-1333333-1-1333-1-1-1-133000000-1-1000000-1-1-10000001-111-1-11-1
χ27333333-1-1333-1-1-1-133000000-1-1000000-1-1-1000000-11-1-111-11333333-1-1333-1-1-1-133000000-1-1000000-1-1-1000000-11-1-111-11
χ28333333-1-133-3-1-1-1-1-3-3000000-1-10000001110000001-111-1-1-11333333-1-133-3-1-1-1-1-3-3000000-1-10000001110000001-111-1-1-11
χ29333333-1-133-3-1-1-1-1-3-3000000-1-1000000111000000-11-1-1111-1333333-1-133-3-1-1-1-1-3-3000000-1-1000000111000000-11-1-1111-1
χ30444-2-2444-2-2044-2-200-2-2-2-2-2-2-2-211111100000000000000000444-2-2444-2-2044-2-200-2-2-2-2-2-2-2-211111100000000000000000
χ3144-2-2-2-244110-2-2-2-2004-2-24-2-211-211-2110000000000000000044-2-2-2-244110-2-2-2-2004-2-24-2-211-211-21100000000000000000
χ3244-2-2-2-244110-2-2-2-200-24-2-24-2111-211-210000000000000000044-2-2-2-244110-2-2-2-200-24-2-24-2111-211-2100000000000000000
χ3344-2-2-2-244110-2-2-2-200-2-24-2-241111-211-20000000000000000044-2-2-2-244110-2-2-2-200-2-24-2-241111-211-200000000000000000
χ344-44-22-4-44-2204-42-200-2-2-2222-22111-1-1-1000000000000000004-44-22-4-44-2204-42-200-2-2-2222-22111-1-1-100000000000000000
χ354-4-2-222-441-10-222-2004-2-2-4221-1-2112-1-1000000000000000004-4-2-222-441-10-222-2004-2-2-4221-1-2112-1-100000000000000000
χ364-4-2-222-441-10-222-200-24-22-421-11-21-12-1000000000000000004-4-2-222-441-10-222-200-24-22-421-11-21-12-100000000000000000
χ374-4-2-222-441-10-222-200-2-2422-41-111-2-1-12000000000000000004-4-2-222-441-10-222-200-2-2422-41-111-2-1-1200000000000000000
χ38666-3-36-2-2-3-30-2-21100000000110000000000000002-2-1-11100666-3-36-2-2-3-30-2-21100000000110000000000000002-2-1-11100
χ39666-3-36-2-2-3-30-2-2110000000011000000000000000-2211-1-100666-3-36-2-2-3-30-2-2110000000011000000000000000-2211-1-100
χ4066-366-3-2-2-3-3611-2-2-3-300000011000000-2110000000000000066-366-3-2-2-3-3611-2-2-3-300000011000000-21100000000000000
χ4166-366-3-2-2-3-3-611-2-233000000110000002-1-10000000000000066-366-3-2-2-3-3-611-2-233000000110000002-1-100000000000000
χ426-666-6-62-26-60-222-200000000-22000000000000000000000006-666-6-62-26-60-222-200000000-2200000000000000000000000
χ436-66-33-62-2-330-22-11000000001-100000000000000000−i3i3i3−i3006-66-33-62-2-330-22-11000000001-100000000000000000−i3i3i3−i300
χ446-66-33-62-2-330-22-11000000001-100000000000000000i3−i3−i3i3006-66-33-62-2-330-22-11000000001-100000000000000000i3−i3−i3i300
χ456-6-36-632-2-3301-12-233−330000001-10000000−33000000000000006-6-36-632-2-3301-12-233−330000001-10000000−3300000000000000
χ466-6-36-632-2-3301-12-2−33330000001-100000003−3000000000000006-6-36-632-2-3301-12-2−33330000001-100000003−300000000000000
χ471212-6-6-6-6-4-4330222200000000-1-1000000000000000000000001212-6-6-6-6-4-4330222200000000-1-100000000000000000000000
χ4812-12-6-6664-43-302-2-2200000000-110000000000000000000000012-12-6-6664-43-302-2-2200000000-1100000000000000000000000
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
χ511111111111-11111-1-111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-111
χ521111111111-11111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1
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
χ542222222222-22222-2-2-1-1-1-1-1-122-1-1-1-1-1-1-2-2-211111100000000-2-2-2-2-2-2-2-2-2-22-2-2-2-222111111-2-2111111222-1-1-1-1-1-100000000
χ55222-1-1222-1-1022-1-100222222-1-1-1-1-1-1-1-100000000022-1-1-1-100-2-2-211-2-2-2110-2-21100-2-2-2-2-2-211111111000000000-2-2111100
χ56222-1-1222-1-1022-1-100222222-1-1-1-1-1-1-1-1000000000-2-2111100-2-2-211-2-2-2110-2-21100-2-2-2-2-2-21111111100000000022-1-1-1-100
χ5722-122-122-1-12-1-122-1-12-1-12-1-1-1-12-1-12-1-12-1-122-1-1-1-100000000-2-21-2-21-2-211-211-2-211-211-21111-211-211-211-2-2111100000000
χ5822-122-122-1-12-1-122-1-1-12-1-12-1-1-1-12-1-12-12-1-1-1-122-1-100000000-2-21-2-21-2-211-211-2-2111-211-21111-211-21-21111-2-21100000000
χ5922-122-122-1-12-1-122-1-1-1-12-1-12-1-1-1-12-1-122-1-1-1-1-1-12200000000-2-21-2-21-2-211-211-2-21111-211-21111-211-2-2111111-2-200000000
χ6022-122-122-1-1-2-1-122112-1-12-1-1-1-12-1-12-1-1-211-2-2111100000000-2-21-2-21-2-211211-2-2-1-1-211-21111-211-2112-1-122-1-1-1-100000000
χ6122-122-122-1-1-2-1-12211-12-1-12-1-1-1-12-1-12-1-21111-2-21100000000-2-21-2-21-2-211211-2-2-1-11-211-21111-211-212-1-1-1-122-1-100000000
χ6222-122-122-1-1-2-1-12211-1-12-1-12-1-1-1-12-1-12-2111111-2-200000000-2-21-2-21-2-211211-2-2-1-111-211-21111-211-22-1-1-1-1-1-12200000000
χ632-222-2-2-222-202-2-2200222-2-2-22-2222-2-2-200000000000000000-22-2-2222-2-220-222-200-2-2-2222-22-2-2-222200000000000000000
χ642-222-2-2-222-202-2-2200-1-1-11112-2-1-1-11110003−33−33−300000000-22-2-2222-2-220-222-200111-1-1-1-22111-1-1-1000−33−33−3300000000
χ652-222-2-2-222-202-2-2200-1-1-11112-2-1-1-1111000−33−33−3300000000-22-2-2222-2-220-222-200111-1-1-1-22111-1-1-10003−33−33−300000000
χ662-22-11-2-22-1102-21-100222-2-2-2-11-1-1-111100000000000−i3i3−i3i300-22-21-122-21-10-22-1100-2-2-22221-1111-1-1-100000000000i3−i3i3−i300
χ672-22-11-2-22-1102-21-100222-2-2-2-11-1-1-111100000000000i3−i3i3−i300-22-21-122-21-10-22-1100-2-2-22221-1111-1-1-100000000000−i3i3−i3i300
χ682-2-12-21-22-110-11-223−32-1-1-211-112-1-1-21103−3003−3−3300000000-221-22-12-21-101-12-2−33-2112-1-11-1-2112-1-10−3300−333−300000000
χ692-2-12-21-22-110-11-223−3-12-11-21-11-12-11-2103−3−33003−300000000-221-22-12-21-101-12-2−331-21-12-11-11-21-12-10−333−300−3300000000
χ702-2-12-21-22-110-11-223−3-1-1211-2-11-1-1211-203−33−3−330000000000-221-22-12-21-101-12-2−3311-2-1-121-111-2-1-120−33−333−30000000000
χ712-2-12-21-22-110-11-22−332-1-1-211-112-1-1-2110−3300−333−300000000-221-22-12-21-101-12-23−3-2112-1-11-1-2112-1-103−3003−3−3300000000
χ722-2-12-21-22-110-11-22−33-12-11-21-11-12-11-210−333−300−3300000000-221-22-12-21-101-12-23−31-21-12-11-11-21-12-103−3−33003−300000000
χ732-2-12-21-22-110-11-22−33-1-1211-2-11-1-1211-20−33−333−30000000000-221-22-12-21-101-12-23−311-2-1-121-111-2-1-1203−33−3−330000000000
χ74333333-1-1333-1-1-1-133000000-1-1000000-1-1-10000001-111-1-11-1-3-3-3-3-3-311-3-3-31111-3-300000011000000111000000-11-1-111-11
χ75333333-1-1333-1-1-1-133000000-1-1000000-1-1-1000000-11-1-111-11-3-3-3-3-3-311-3-3-31111-3-3000000110000001110000001-111-1-11-1
χ76333333-1-133-3-1-1-1-1-3-3000000-1-10000001110000001-111-1-1-11-3-3-3-3-3-311-3-3311113300000011000000-1-1-1000000-11-1-1111-1
χ77333333-1-133-3-1-1-1-1-3-3000000-1-1000000111000000-11-1-1111-1-3-3-3-3-3-311-3-3311113300000011000000-1-1-10000001-111-1-1-11
χ78444-2-2444-2-2044-2-200-2-2-2-2-2-2-2-211111100000000000000000-4-4-422-4-4-4220-4-4220022222222-1-1-1-1-1-100000000000000000
χ7944-2-2-2-244110-2-2-2-2004-2-24-2-211-211-21100000000000000000-4-42222-4-4-1-10222200-422-422-1-12-1-12-1-100000000000000000
χ8044-2-2-2-244110-2-2-2-200-24-2-24-2111-211-2100000000000000000-4-42222-4-4-1-102222002-422-42-1-1-12-1-12-100000000000000000
χ8144-2-2-2-244110-2-2-2-200-2-24-2-241111-211-200000000000000000-4-42222-4-4-1-1022220022-422-4-1-1-1-12-1-1200000000000000000
χ824-44-22-4-44-2204-42-200-2-2-2222-22111-1-1-100000000000000000-44-42-244-42-20-44-2200222-2-2-22-2-1-1-111100000000000000000
χ834-4-2-222-441-10-222-2004-2-2-4221-1-2112-1-100000000000000000-4422-2-24-4-1102-2-2200-4224-2-2-112-1-1-21100000000000000000
χ844-4-2-222-441-10-222-200-24-22-421-11-21-12-100000000000000000-4422-2-24-4-1102-2-22002-42-24-2-11-12-11-2100000000000000000
χ854-4-2-222-441-10-222-200-2-2422-41-111-2-1-1200000000000000000-4422-2-24-4-1102-2-220022-4-2-24-11-1-1211-200000000000000000
χ86666-3-36-2-2-3-30-2-21100000000110000000000000002-2-1-11100-6-6-633-62233022-1-100000000-1-1000000000000000-2211-1-100
χ87666-3-36-2-2-3-30-2-2110000000011000000000000000-2211-1-100-6-6-633-62233022-1-100000000-1-10000000000000002-2-1-11100
χ8866-366-3-2-2-3-3611-2-2-3-300000011000000-21100000000000000-6-63-6-632233-6-1-12233000000-1-10000002-1-100000000000000
χ8966-366-3-2-2-3-3-611-2-233000000110000002-1-100000000000000-6-63-6-6322336-1-122-3-3000000-1-1000000-21100000000000000
χ906-666-6-62-26-60-222-200000000-2200000000000000000000000-66-6-666-22-6602-2-22000000002-200000000000000000000000
χ916-66-33-62-2-330-22-11000000001-100000000000000000−i3i3i3−i300-66-63-36-223-302-21-100000000-1100000000000000000i3−i3−i3i300
χ926-66-33-62-2-330-22-11000000001-100000000000000000i3−i3−i3i300-66-63-36-223-302-21-100000000-1100000000000000000−i3i3i3−i300
χ936-6-36-632-2-3301-12-233−330000001-10000000−3300000000000000-663-66-3-223-30-11-22−3333000000-1100000003−300000000000000
χ946-6-36-632-2-3301-12-2−33330000001-100000003−300000000000000-663-66-3-223-30-11-2233−33000000-110000000−3300000000000000
χ951212-6-6-6-6-4-4330222200000000-1-100000000000000000000000-12-12666644-3-30-2-2-2-2000000001100000000000000000000000
χ9612-12-6-6664-43-302-2-2200000000-1100000000000000000000000-121266-6-6-44-330-222-2000000001-100000000000000000000000

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