Finite Group Databasebeta

← Group #13172110

Character table — Group #13172110

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111122222222222222444444444444444444444466666688888888888812121212121212121212121212121212121212121212121818181818182424242424242424242424242424363636363636363636363654547272108
order1222223336666666663336666666666666666666441212121236666666666624444661212121212121212121212121212121222224466612121212121212121212122246666661212446124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-111-111111111111111111111-1-1111111-1-1-1-111-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-111-11-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111111-11-1-1-1-1-1-1-1-1-1-111-1
χ41111111111111111111111111111111111111111111111111111111111-1-11-1-1-1-1111111-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-111-1-11
χ51111111111111111111111111111111111111111-1-1-1-1-1-111111111111111-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111111111111111-11-1-1-11111-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-11111111111111-1-11-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11-11-1-1-1-1-1-1-1-111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-11111-1-1-111-1-1-1-11111-1-11
χ81111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-111-1
χ91111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-11111111111111-1-1-1-1111-1-1-1-111-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111111-111-1-1-1-111-1-1-1-11-1-111-1-11111-11-1
χ101111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-11111111111111-1-1-1-1111-1-1-1-11-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-111-1-1-1-11111-1-1-1-1-11111-1-11-11
χ111111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-11111111111111-1-1-1-1111-1-1-1-1-11-11-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1111-1-11111-1-1-11111-1-111-1-1-1-1-111
χ121111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-11111111111111-1-1-1-1111-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-11-1-11111-1-1111-1-11111-1-1-1-1111-1-1
χ131111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-11-1-1-1-1111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-111111111-1-1111-111-1-1-1-111-1-11-1-11111-1-1-1-1-1-11-11
χ141111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-11-1-1-1-1111-1-1-1-11-11-1111-1-11111-1-1-1-1-1-1111111-1-1-1-1111-1-1-111-1-1-1-111-11111-1-111-1-111-11-1
χ151111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-11-1-1-1-1111-1-1-1-1-1111-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1111-1-11111-1-111-1-1-1-1-11111111-1-1
χ161111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-11-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-11111-1-11111-1-1-11-1-11111-1-111-1-11-1-111-1-111-1-1-111
χ1722222222-12222-1-1-1222-1-12222-1-122-12222-1-1-1-1-12000000-1-1-1-1-1-1-1-1-1-1-1-122022220000002200000000002200-1-1-1-12-12-1-1-1-1-1-1-102000-1-1-1-10000000
χ1822222222-12222-1-1-1222-1-12222-1-122-12222-1-1-1-1-12000000-1-1-1-1-1-1-1-1-1-1-1-12-202-222000000220000000000-2-200-1-1-1-1-21-21-1-111110-200011110000000
χ1922222222-12222-1-1-1222-1-12222-1-122-12222-1-1-1-1-12000000-1-1-1-1-1-1-1-1-1-1-1-1-220-22-2-2000000-2-20000000000-2-20011112-12-111-1-1-1-10-200011110000000
χ2022222222-12222-1-1-1222-1-12222-1-122-12222-1-1-1-1-12000000-1-1-1-1-1-1-1-1-1-1-1-1-2-20-2-2-2-2000000-2-2000000000022001111-21-2111111102000-1-1-1-10000000
χ212222222-12-1-1222222-1-12-122-1-122-1-12-1-1-1-1-1-122-1-122-1-1-1-1-122-1-1-1-1-1-1-1-1-120220-1-12222-1-1-1-1-1-1-1-1-1-1-1-12200222-1-120000-1-10000000-1-10000-1-100000
χ222222222-12-1-1222222-1-12-122-1-122-1-12-1-1-1-1-1-122-1-122-1-1-1-1-122-1-1-1-1-1-1-1-1-1-202-20112222-1-111-1-1-1-1-1-1-1-1-2-200-2-2-211-200001100000001100001100000
χ232222222-12-1-1222222-1-12-122-1-122-1-12-1-1-1-1-1-122-1-1-2-21111-122-1-1-1-1-1-1-1-1-120-220-1-1-2-2-2-211-1-111111111-2-200-2-22-1-120000-1-100000001100001100000
χ242222222-12-1-1222222-1-12-122-1-122-1-12-1-1-1-1-1-122-1-1-2-21111-122-1-1-1-1-1-1-1-1-1-20-2-2011-2-2-2-2111111111111220022-211-20000110000000-1-10000-1-100000
χ25222222-12222-1-1222-12-1-12-1-12222-1-1-1-1-1-1-122-1-12-1222222-1-1-122-1-1-1-1-1-1-10220200-1-1-1-12200-1-1-1-1-1-1-1-10000000000-12-1200-1-1-1-12020000000000-1-10
χ26222222-12222-1-1222-12-1-12-1-12222-1-1-1-1-1-1-122-1-12-1222222-1-1-122-1-1-1-1-1-1-10-220-200-1-1-1-12200-1-1-1-1-1-1-1-100000000001-21-2001111-20-20000000000110
χ27222222-12222-1-1222-12-1-12-1-12222-1-1-1-1-1-1-122-1-12-1-2-2-2-2-2-2-1-1-122-1-1-1-1-1-1-102-202001111-2-200111111110000000000-12-1200-1-1-1-1-20-20000000000110
χ28222222-12222-1-1222-12-1-12-1-12222-1-1-1-1-1-1-122-1-12-1-2-2-2-2-2-2-1-1-122-1-1-1-1-1-1-10-2-20-2001111-2-2001111111100000000001-21-20011112020000000000-1-10
χ292222-2-222-12222-1-1-1222-1-1-2-2-2-21122-1-2-2-2-2-1-1-1-1-12000000-11111-1-1-11111220-2-222000000-2-200000000002200-1-1-112-1-2111-1-1110-2000-1-1110000000
χ302222-2-222-12222-1-1-1222-1-1-2-2-2-21122-1-2-2-2-2-1-1-1-1-12000000-11111-1-1-111112-20-2222000000-2-20000000000-2-200-1-1-11-212-11111-1-10200011-1-10000000
χ312222-2-222-12222-1-1-1222-1-1-2-2-2-21122-1-2-2-2-2-1-1-1-1-12000000-11111-1-1-11111-2202-2-2-2000000220000000000-2-200111-12-1-21-1-1-1-1110200011-1-10000000
χ322222-2-222-12222-1-1-1222-1-1-2-2-2-21122-1-2-2-2-2-1-1-1-1-12000000-11111-1-1-11111-2-2022-2-20000002200000000002200111-1-212-1-1-111-1-10-2000-1-1110000000
χ332222-2-22-12-1-1222222-1-12-1-2-211-2-2-1-121111-1-122-1-122-1-1-1-1-1-2-211-1-1-1111120-2-20-1-122-2-21111-1-1-1-11111-2-200222-1-1-20000110000000110000-1-100000
χ342222-2-22-12-1-1222222-1-12-1-2-211-2-2-1-121111-1-122-1-122-1-1-1-1-1-2-211-1-1-11111-20-2201122-2-211-1-1-1-1-1-111112200-2-2-21120000-1-10000000-1-100001100000
χ352222-2-22-12-1-1222222-1-12-1-2-211-2-2-1-121111-1-122-1-1-2-21111-1-2-211-1-1-11111202-20-1-1-2-222-1-1111111-1-1-1-12200-2-22-1-1-20000110000000-1-100001100000
χ362222-2-22-12-1-1222222-1-12-1-2-211-2-2-1-121111-1-122-1-1-2-21111-1-2-211-1-1-11111-2022011-2-222-1-1-1-11111-1-1-1-1-2-20022-21120000-1-10000000110000-1-100000
χ372222-2-2-12222-1-1222-12-1-1211-2-2-2-2-1-1-1111122-1-12-1222222-111-2-2-1-1-1111102-20-200-1-111-2-200-1-1-1-111110000000000-121-200-1-111-20200000000001-10
χ382222-2-2-12222-1-1222-12-1-1211-2-2-2-2-1-1-1111122-1-12-1222222-111-2-2-1-1-111110-2-20200-1-111-2-200-1-1-1-1111100000000001-2-120011-1-120-20000000000-110
χ392222-2-2-12222-1-1222-12-1-1211-2-2-2-2-1-1-1111122-1-12-1-2-2-2-2-2-2-111-2-2-1-1-111110220-20011-1-122001111-1-1-1-10000000000-121-200-1-11120-20000000000-110
χ402222-2-2-12222-1-1222-12-1-1211-2-2-2-2-1-1-1111122-1-12-1-2-2-2-2-2-2-111-2-2-1-1-111110-22020011-1-122001111-1-1-1-100000000001-2-120011-1-1-20200000000001-10
χ4122-2-2002222-22-22-2-2-2-22220000002-2-200002-22-2-2-22i−2i2i2i−2i−2i200002-2-2000000000002i−2i0000002i2i−2i−2i0000002-20000000000000000000002-200002i−2i000
χ4222-2-2002222-22-22-2-2-2-22220000002-2-200002-22-2-2-22i−2i2i2i−2i−2i200002-2-2000000000002i−2i0000002i2i−2i−2i000000-22000000000000000000000-220000−2i2i000
χ4322-2-2002222-22-22-2-2-2-22220000002-2-200002-22-2-2-2−2i2i−2i−2i2i2i200002-2-200000000000−2i2i000000−2i−2i2i2i0000002-20000000000000000000002-20000−2i2i000
χ4422-2-2002222-22-22-2-2-2-22220000002-2-200002-22-2-2-2−2i2i−2i−2i2i2i200002-2-200000000000−2i2i000000−2i−2i2i2i000000-22000000000000000000000-2200002i−2i000
χ452-22-22-2222-2-2-2-2-22-2222222-22-22-2-2-2222-2-2-2-2-2-22200000022-22-2-22-222-2-2000000000000000000000002-2002-2000000000000000002-200002-200000
χ462-22-22-2222-2-2-2-2-22-2222222-22-22-2-2-2222-2-2-2-2-2-22200000022-22-2-22-222-2-200000000000000000000000-2200-2200000000000000000-220000-2200000
χ472-22-22-22-1211-2-2-22-22-1-12-12-2-112-2112-1-11111-2-2-1-100−i3i3−i3i3-12-2-111-11-1-11100000−i3i30000−i3i3−i3i3−i3i3−i3i3−i3−i3i3i32-2002-20−i3i300000−i3i30000000-110000-1100000
χ482-22-22-22-1211-2-2-22-22-1-12-12-2-112-2112-1-11111-2-2-1-100−i3i3−i3i3-12-2-111-11-1-11100000i3−i30000−i3i3i3−i3−i3i3−i3i3−i3−i3i3i3-2200-220i3−i300000i3−i300000001-100001-100000
χ492-22-22-22-1211-2-2-22-22-1-12-12-2-112-2112-1-11111-2-2-1-100i3−i3i3−i3-12-2-111-11-1-11100000−i3i30000i3−i3−i3i3i3−i3i3−i3i3i3−i3−i3-2200-220−i3i300000−i3i300000001-100001-100000
χ502-22-22-22-1211-2-2-22-22-1-12-12-2-112-2112-1-11111-2-2-1-100i3−i3i3−i3-12-2-111-11-1-11100000i3−i30000i3−i3i3−i3i3−i3i3−i3i3i3−i3−i32-2002-20i3−i300000i3−i30000000-110000-1100000
χ512-22-2-22222-2-2-2-2-22-222222-22-22-22-2-22-2-222-2-2-2-2220000002-22-22-22-2-2-222000000000000000000000002-200-22000000000000000002-20000-2200000
χ522-22-2-22222-2-2-2-2-22-222222-22-22-22-2-22-2-222-2-2-2-2220000002-22-22-22-2-2-22200000000000000000000000-22002-200000000000000000-2200002-200000
χ532-22-2-222-1211-2-2-22-22-1-12-1-221-1-2211211-1-111-2-2-1-100−i3i3−i3i3-1-221-11-1111-1-100000−i3i30000i3−i3i3−i3−i3i3−i3i3i3i3−i3−i3-22002-20−i3i300000i3−i300000001-10000-1100000
χ542-22-2-222-1211-2-2-22-22-1-12-1-221-1-2211211-1-111-2-2-1-100−i3i3−i3i3-1-221-11-1111-1-100000i3−i30000i3−i3−i3i3−i3i3−i3i3i3i3−i3−i32-200-220i3−i300000−i3i30000000-1100001-100000
χ552-22-2-222-1211-2-2-22-22-1-12-1-221-1-2211211-1-111-2-2-1-100i3−i3i3−i3-1-221-11-1111-1-100000−i3i30000−i3i3i3−i3i3−i3i3−i3−i3−i3i3i32-200-220−i3i300000i3−i30000000-1100001-100000
χ562-22-2-222-1211-2-2-22-22-1-12-1-221-1-2211211-1-111-2-2-1-100i3−i3i3−i3-1-221-11-1111-1-100000i3−i30000−i3i3−i3i3i3−i3i3−i3−i3−i3i3i3-22002-20i3−i300000−i3i300000001-10000-1100000
χ574444444-2-2-2-244-2-2-24-2-2-2144-2-2-2-2-2-2-2-2-2-2-211-2-21-20000001-2-211111111140040-2-2000000-2-200000000000000-211-200001100000000000000000000
χ584444444-2-2-2-244-2-2-24-2-2-2144-2-2-2-2-2-2-2-2-2-2-211-2-21-20000001-2-2111111111-400-402200000022000000000000002-1-120000-1-100000000000000000000
χ59444444-24-244-2-2-2-2-2-24-21-2-2-244-2-2-2-21-2-2-2-2-2-211-2-2000000111-2-21111111040040000000000000000000000000000-2-2-2-20011110000000000000000
χ60444444-24-244-2-2-2-2-2-24-21-2-2-244-2-2-2-21-2-2-2-2-2-211-2-2000000111-2-211111110-400-40000000000000000000000000000222200-1-1-1-10000000000000000
χ61444444-2-24-2-2-2-2444-2-21-2-2-2-2-2-24411-21111-2-2-2-2-2144-2-2-2-21-2-2-2-211111110040000-2-2-2-2-2-20011111111000000000000000000000000000000000000
χ62444444-2-24-2-2-2-2444-2-21-2-2-2-2-2-24411-21111-2-2-2-2-21-4-422221-2-2-2-2111111100-4000022222200-1-1-1-1-1-1-1-1000000000000000000000000000000000000
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χ684444-4-4-2-24-2-2-2-2444-2-21-2-22222-4-411-2-1-1-1-1-2-2-2-2-21-4-4222212222111-1-1-1-1004000022-2-2-2-200-1-1-1-11111000000000000000000000000000000000000
χ6944-4-40044-24-44-4-222-4-44-2-20000004-420000-22-222-4000000-20000-222000000000000000000000000000004-4000000000000000000000-22000000000
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χ7344-4-400-2444-4-224-4-42-4-2-24000000-22200004-4-22-424i−4i4i4i−4i−4i-20000-22200000000000−2i2i000000−2i−2i2i2i0000000000000000000000000000000000000000
χ7444-4-400-2444-4-224-4-42-4-2-24000000-22200004-4-22-42−4i4i−4i−4i4i4i-20000-222000000000002i−2i0000002i2i−2i−2i0000000000000000000000000000000000000000
χ7544-4-400-2-24-22-224-4-4221-2-20000001-123-33-3-22-222-14i−4i−2i−2i2i2i100001-1-13-33-30000000−2i2i000000ii−i−i3i−3i3i−3i000000000000000000000000000000000000
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χ7844-4-400-2-24-22-224-4-4221-2-20000001-12-33-33-22-222-1−4i4i2i2i−2i−2i100001-1-1-33-3300000002i−2i000000−i−iii3i−3i3i−3i000000000000000000000000000000000000
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χ914-44-4-44-24-2-4-4222-22-24-21-22-2-442-222122-2-222-1-1-2-20000001-112-2-11-1-1-1110000000000000000000000000000000000000003i−3i−3i3i0000000000000000
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χ1054-4-4400-2-242-22-2-4-44221-2-2000000-112-333-32-22-22-100−232323−2310000-1-11-333-3000000000−232300003−3−333−3−33000000000000000000000000000000000000
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χ1078888-8-8-4-4-4-4-4-4-4-4-4-4-4-4222444444222-2-2-2-2222222000000-1-2-2-2-2-1-1-1111100000000000000000000000000000000000000000000000000000000000
χ10888-8-8008-4-4-448-8-444-84-4-42000000-44400002-2-44-24000000200002-2-2000000000000000000000000000000000000000000000000000000000000000
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χ11088-8-800-4-4-4-44-44-444442220000002-2-26-66-62-22-2-2-2000000-10000-111-33-3300000000000000000000000000000000000000000000000000000000000
χ11188-8-800-4-4-4-44-44-444442220000002-2-2-66-662-22-2-2-2000000-10000-1113-33-300000000000000000000000000000000000000000000000000000000000
χ1128-88-88-8-4-4-444444-44-4-4222-44-44-44-2-2222-2-2-2-2-2-222000000-12-22-21-11-1-11100000000000000000000000000000000000000000000000000000000000
χ1138-88-8-88-4-4-444444-44-4-42224-44-44-4-2-22-2-222-2-2-2-222000000-1-22-221-1111-1-100000000000000000000000000000000000000000000000000000000000
χ1148-8-88008-4-44-4-8844-4-84-4-420000004-440000-224-4-2400000020000-2-22000000000000000000000000000000000000000000000000000000000000000
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χ1168-8-8800-4-4-44-44-444-444222000000-22-26-6-66-22-22-2-2000000-1000011-1-333-300000000000000000000000000000000000000000000000000000000000
χ1178-8-8800-4-4-44-44-444-444222000000-22-2-666-6-22-22-2-2000000-1000011-13-3-3300000000000000000000000000000000000000000000000000000000000

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