Finite Group Databasebeta

← Group #13171748

Character table — Group #13171748

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222222222244444444444446666668888888888888888812121212121212121212121212121218181818181824242424242424242424242424242424242427272727363636363636363636727272108
order12223336666666662333666666666224444366666666666666664446666121212121212121244444466121212121212121212121212121212124444244121212121212612124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1111111111111111111-11111111-1-1-1-11111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-111-11-1-1
χ31111111111111111111111111111111-1-1111111111111111111111-11111-1-11111-1-1-1-111-1-111-1111-1111-1-1-1-11111-1-1-1-11-1-111-1-1-1-11-1-1-1
χ41111111111111111111111111111111-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-1111-1-1-1-1-1-1-1-11111-1-11-1-111-1-1-1-111
χ511111111111111111111111111111-1-1111111111111111111111-111-1-1-1-111111111-1-1-1-111-1-11-1111-1-1-111111111-1-1-1-1-1-11-1-111-1-1-1-11-1
χ611111111111111111111111111111-1-111-1-111111111111111111-1-11-1-1-1-111-1-1-1-111-1-111-1-1-1-11-1-1-11-1-1-11111-1-1-1-111111-1-111-1-1-1-11-1-11
χ711111111111111111111111111111-1-1-1-11111111111111111111-11-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-11-1-1-1-1-111-11-11
χ811111111111111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1
χ91111111111111111-11111111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1111111-1-1-1-1
χ101111111111111111-11111111111111111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-1-11-1111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-1-1-111-1-1-1-11-11-1-1-1-1111-111
χ111111111111111111-111111111111111-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111111-1-11111-1-1-1-111-1-1111-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1-1111
χ121111111111111111-111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-1111-1-1-1-1-111-1-111111111-1-1-111-1-111-1-1
χ131111111111111111-1111111111111-1-111111-1-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-1-1-1-111111111-1-1-1-111-1-1-11-1-1-111111-1-111-1-1-1-1-1-111-1-1-111-1-111-11
χ141111111111111111-1111111111111-1-111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1111-111111-1-1-1-1111111-11111-1-1-1-1-111-1
χ151111111111111111-1111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-11-11-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-11111-1-11111-1-111111-11-1-1-1-1111-11-1
χ161111111111111111-1111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-111-1-111-1-1-1-1-1-1-1111111-1-1-11
χ17222222-1-122-1222-1222-1-12-1-1-122-1-1-1220022-122-122-1-1-1-1-1-1-1-1-1-1-122022-1-10022-1-100002200-1-10-12-102-1-10000-1-1-1-10000200-1-10000-1000
χ18222222-1-122-1222-1222-1-12-1-1-122-1-1-12200-2-2-122-122-1-1-1-1-1-1-1-1-1-1-12-2022-1-100-2-2110000-2-200-1-10-1-2102-1-1000011110000-2001100001000
χ19222222-1-122-1222-1222-1-12-1-1-122-1-1-1-2-20022-122-122-1-1-1-1-1-1-1-1-1-1-1-220-2-2110022-1-10000-2-20011012-10-2110000-1-1-1-10000-2001100001000
χ20222222-1-122-1222-1222-1-12-1-1-122-1-1-1-2-200-2-2-122-122-1-1-1-1-1-1-1-1-1-1-1-2-20-2-21100-2-211000022001101-210-211000011110000200-1-10000-1000
χ21222222-1-122-1222-12-22-1-12-1-1-122-1-1-1220022-1-2-21-2-21111-1-1-11111-2-2022-1-10022-1-100002200-1-101-210-2110000-1-1110000-200-1-100001000
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χ23222222-1-122-1222-12-22-1-12-1-1-122-1-1-1-2-20022-1-2-21-2-21111-1-1-111112-20-2-2110022-1-10000-2-200110-1-2102-1-10000-1-1110000200110000-1000
χ24222222-1-122-1222-12-22-1-12-1-1-122-1-1-1-2-200-2-2-1-2-21-2-21111-1-1-11111220-2-21100-2-21100002200110-12-102-1-1000011-1-10000-200-1-100001000
χ2522222-122-122-1222-12-12-1-12-1-1-1-122-1222200-12-12-1-122-1-1-1-1-1-1-1-1-1202-1-122220000-1-1220000-1-1-12002-1-1-1-1-1-1-1000000000200000-1-10-100
χ2622222-122-122-1222-12-12-1-12-1-1-1-122-122-2-200-12-12-1-122-1-1-1-1-1-1-1-1-120-2-1-122-2-2000011-2-20000-1-11200-2-1-1-11111000000000-200000110100
χ2722222-122-122-1222-12-12-1-12-1-1-1-122-1-2-22200-12-12-1-122-1-1-1-1-1-1-1-1-1-20211-2-2220000-1-1-2-2000011-1-2002111-1-1-1-1000000000-200000110100
χ2822222-122-122-1222-12-12-1-12-1-1-1-122-1-2-2-2-200-12-12-1-122-1-1-1-1-1-1-1-1-1-20-211-2-2-2-2000011220000111-200-21111111000000000200000-1-10-100
χ2922222-122-122-1222-1-2-12-1-12-1-1-1-122-1222200-1-21-211-2-211-1-1-11111-20-2-1-122220000-1-1220000-1-11-200-2111-1-111000000000-200000-1-10100
χ3022222-122-122-1222-1-2-12-1-12-1-1-1-122-122-2-200-1-21-211-2-211-1-1-11111-202-1-122-2-2000011-2-20000-1-1-1-200211111-1-1000000000200000110-100
χ3122222-122-122-1222-1-2-12-1-12-1-1-1-122-1-2-22200-1-21-211-2-211-1-1-1111120-211-2-2220000-1-1-2-20000111200-2-1-1-1-1-111000000000200000110-100
χ3222222-122-122-1222-1-2-12-1-12-1-1-1-122-1-2-2-2-200-1-21-211-2-211-1-1-1111120211-2-2-2-200001122000011-12002-1-1-111-1-1000000000-200000-1-10100
χ332222-12222-122-1-1222-1-12-1-122-1-1-1-12002222-1-122-1-1-1-122-1-1-1-1-1-1-10220000-1-1-1-122220000220020-12-1000-1-1-1-1-1-1-1-1000000200-1-10000-10
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χ352222-12222-122-1-1222-1-12-1-122-1-1-1-1200-2-222-1-122-1-1-1-122-1-1-1-1-1-1-102-2000011-1-122-2-20000-2-200-20-1210001111-1-1-1-1000000-20011000010
χ362222-12222-122-1-1222-1-12-1-122-1-1-1-1200-2-2-2-2-1-122-1-1-1-122-1-1-1-1-1-1-10-2-200001111-2-2-2-200002200-201-2100011111111000000200-1-10000-10
χ372222-12222-122-1-122-2-1-12-1-122-1-1-1-12002222-11-2-21111-2-2-1-1-111110-2-20000-1-1-1-1222200002200-201-21000-1-111-1-111000000-200-1-1000010
χ382222-12222-122-1-122-2-1-12-1-122-1-1-1-120022-2-2-11-2-21111-2-2-1-1-1111102-20000-1-111-2-2220000-2-200-20-121000-1-11111-1-1000000200110000-10
χ392222-12222-122-1-122-2-1-12-1-122-1-1-1-1200-2-222-11-2-21111-2-2-1-1-111110-22000011-1-122-2-20000-2-200201-2-100011-1-1-1-111000000200110000-10
χ402222-12222-122-1-122-2-1-12-1-122-1-1-1-1200-2-2-2-2-11-2-21111-2-2-1-1-1111102200001111-2-2-2-20000220020-12-100011-1-111-1-1000000-200-1-1000010
χ4122-2-2222-2-222-2-2-2-220222-2-2-2-22-22-222-2000020000000002-2-200000002-22-20000000000002i−2i2-200000000000000002i2i−2i−2i000002i−2i000000
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χ4322-2-2222-2-222-2-2-2-220222-2-2-2-22-22-22-22000020000000002-2-20000000-22-220000000000002i−2i-220000000000000000−2i−2i2i2i000002i−2i000000
χ4422-2-2222-2-222-2-2-2-220222-2-2-2-22-22-22-22000020000000002-2-20000000-22-22000000000000−2i2i-2200000000000000002i2i−2i−2i00000−2i2i000000
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χ9788-8-8-48-44-8-4-4-844480-42-44-244-442-2-400000020000000002-2-2000000000000000000000000000000000000000000000000000000000000
χ9888-8-8-4-48-84-48444-8-402-4-4-24442-2-44-400000020000000002-2-2000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-4-444-4-44444-40222-2-2-2-22-22-22000000-100000006-6-111-3-33300000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-4-444-4-44444-40222-2-2-2-22-22-22000000-10000000-66-11133-3-300000000000000000000000000000000000000000000000000000000
χ1018-88-88-4-444-84-48-8-440-4-42-442-2444-4-20000002000000000-22-2000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-48-44-8448-44-4-80-42-4-4-2-4444-2240000002000000000-22-2000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-4-4-44444-4-44-4402222-22-2-2-2-22-2000000-10006-600001-11-33-3300000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-4-44444-4-44-4402222-22-2-2-2-22-2000000-1000-6600001-113-33-300000000000000000000000000000000000000000000000000000000
χ1058-8-888-4-4-4-4-844-88440-4-424-4-224-444-20000002000000000-2-22000000000000000000000000000000000000000000000000000000000000
χ1068-8-88-4-488-44-844-4-8402-4-4-2-44-4-224440000002000000000-2-22000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-4-4-44444-4440222-22-22-22-2-2-2000000-1000006-60011-1-333-300000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-4-4-44444-4440222-22-22-22-2-2-2000000-100000-660011-13-3-3300000000000000000000000000000000000000000000000000000000

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