Finite Group Databasebeta

← Group #13171588

Character table — Group #13171588

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1122222224444444444446666888888888881212121212121212121212121212121212121212161616161818242424242424242424242424242436363636363636363648545472727272108
order1233346662333666661212122244366666661212122246666666666668121212126661224666666121212122424242422468812121212886624242
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1111111111111-11111111111111111-1-111-1-1-1-1-1-111-1-1111-1-1-1-1-1-1-1-1
χ31111111111111111111111-11-1111111111111-111111-1-1-1-111-1-111-11-11111-1-11-111-1-1111-111111-1-1-11-1-1-1-11-1-11-11-1-1
χ41111111111111111111111-11-1111111111111-1-11111-1-1-1-111-1-1-11-11-11111-1-11-111-1-1-1-11-1-1-1-1-1-11-1-1-11-1-1-1-111-11-111
χ5111111111111111111111-11-1111111111111-111-1-1-1-11111-1-1111-11-111111-1-1-11-1-11111-111111-11-1-1-11-1-1-11-1-1-11-11-1
χ6111111111111111111111-11-1111111111111-11-1-1-1-1-11111-1-111-1-11-111111-1-1-11-1-111-1-1-11-1-1-1-11-1-1-11-1-1-1-1-1111-11-11
χ7111111111111111111111-1-1-1-111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-111-1-1111111-1-1-1-11
χ8111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-11111-1
χ9111111111-1111-1-111111111111-1-1-1-1-1-11111-1-1111-1-111-1-11111-11111-1-1-1111-1-1-1-1-1-11111-1-1-1-111-11-1-11-1-11-1-111-1-11
χ10111111111-1111-1-111111111111-1-1-1-1-1-11111-1-1-111-1-111-1-1111111111-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-11111-1-1-111-1-111-1
χ11111111111-1111-1-11111111-11-11-1-1-1-1-1-11111-11111-1-1-1-11111-1-1-11-11-1-1-1-11-1-1-11-1-111111-1-1-1-1-11-11-1-11-1111111-1-11-1
χ12111111111-1111-1-11111111-11-11-1-1-1-1-1-11111-11-111-1-1-1-11111-1-111-11-1-1-1-11-1-1-11-1-111-1-11-11111-111-11-1-111-1-1-1-111-11
χ13111111111-1111-1-1111111-11-111-1-1-1-1-1-111111-11-1-11111-1-1-1-111-1-11-11-1-1-11-1-11-111-1-111-11-1-1-1-1-111-11-1-111111-111-1-1
χ14111111111-1111-1-1111111-11-111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1111-11-11-1-1-11-1-11-111-1-1-1-1-1111111-11-1-11-111-1-1-11-1-111
χ15111111111-1111-1-1111111-1-1-1-11-1-1-1-1-1-11111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-1111
χ16111111111-1111-1-1111111-1-1-1-11-1-1-1-1-1-1111111-1-1-111-1-111-1-1-1-11-1-1-1-1-1-1-1111111111-1-1-1-1111111-11-1-11-1-1-11111-1-1-1
χ1722222-2222022200222-2-2-222-2-220000002-2-2-20002200220022220-2-2-2-2000-2-2200000000-2-20000000-20020000000000
χ1822222-2222022200222-2-2-22-2-2220000002-2-2-20002200-2-20022-2-20-22-22000-22-200000000-220000000200-20000000000
χ1922222-2222022200222-2-2-2-222-220000002-2-2-2000-2-2002200-2-22202-22-2000-22-2000000002-20000000200-20000000000
χ2022222-2222022200222-2-2-2-2-22220000002-2-2-2000-2-200-2-200-2-2-2-202222000-2-2200000000220000000-20020000000000
χ212222-1222-122-1-1-1-1-1-12-1222222-122-1-1-1-1-1-1-122202-1-1-12-1-1-1-1-1-1-1022-1-12-1-1-12222-1-1-1-100-1-10000002-100-1-1-100000000
χ222222-1222-122-1-1-1-1-1-12-1222-22-2-122-1-1-1-1-1-1-122-202-1-1-1-2111-1-11102-2-112-1-1-1-2-22-2-1-11100-11000000-210011100000000
χ232222-1222-122-1-1-1-1-1-12-122-22-22-122-1-1-1-1-1-1-12-220-21112-1-1-111-1-10-221-12-1-1-1-2-2-2211-1-1001-1000000-210011100000000
χ242222-1222-122-1-1-1-1-1-12-122-2-2-2-2-122-1-1-1-1-1-1-12-2-20-2111-211111110-2-2112-1-1-122-2-2111100110000002-100-1-1-100000000
χ252222-1222-1-22-1-111-1-12-1222222-1-2-21111-1-1-12-2-202-1112-111-1-1-1-1022-1-1-211-122-2-2111100-1-1000000-2-100-11100000000
χ262222-1222-1-22-1-111-1-12-1222-22-2-1-2-21111-1-1-12-2202-111-21-1-1-1-11102-2-11-211-1-2-2-2211-1-100-1100000021001-1-100000000
χ272222-1222-1-22-1-111-1-12-122-22-22-1-2-21111-1-1-122-20-21-1-12-11111-1-10-221-1-211-1-2-22-2-1-111001-100000021001-1-100000000
χ282222-1222-1-22-1-111-1-12-122-2-2-2-2-1-2-21111-1-1-12220-21-1-1-21-1-111110-2-211-211-12222-1-1-1-10011000000-2-100-11100000000
χ292222-1-222-102-1-1−i3i3-1-121-2-222-2-2-100−i3−i3i3i3-111-20002-1−i3i32-1−i3i3-1-1-1-10-2-2110−i3i31-2200−i3i3−i3i300110000000100-1−i3i300000000
χ302222-1-222-102-1-1−i3i3-1-121-2-22-2-22-100−i3−i3i3i3-111-20002-1−i3i3-21i3−i3-1-1110-221-10−i3i312-200−i3i3i3−i3001-10000000-1001i3−i300000000
χ312222-1-222-102-1-1−i3i3-1-121-2-2-222-2-100−i3−i3i3i3-111-2000-21i3−i32-1−i3i311-1-102-2-110−i3i312-200i3−i3−i3i300-110000000-1001i3−i300000000
χ322222-1-222-102-1-1−i3i3-1-121-2-2-2-222-100−i3−i3i3i3-111-2000-21i3−i3-21i3−i31111022-1-10−i3i31-2200i3−i3i3−i300-1-10000000100-1−i3i300000000
χ332222-1-222-102-1-1i3−i3-1-121-2-222-2-2-100i3i3−i3−i3-111-20002-1i3−i32-1i3−i3-1-1-1-10-2-2110i3−i31-2200i3−i3i3−i300110000000100-1i3−i300000000
χ342222-1-222-102-1-1i3−i3-1-121-2-22-2-22-100i3i3−i3−i3-111-20002-1i3−i3-21−i3i3-1-1110-221-10i3−i312-200i3−i3−i3i3001-10000000-1001−i3i300000000
χ352222-1-222-102-1-1i3−i3-1-121-2-2-222-2-100i3i3−i3−i3-111-2000-21−i3i32-1i3−i311-1-102-2-110i3−i312-200−i3i3i3−i300-110000000-1001−i3i300000000
χ362222-1-222-102-1-1i3−i3-1-121-2-2-2-222-100i3i3−i3−i3-111-2000-21−i3i3-21−i3i31111022-1-10i3−i31-2200−i3i3−i3i300-1-10000000100-1i3−i300000000
χ37222-1222-122-12-1222-1-122-10202-12-12-12-1-12-1-10220000-122200-1-120-102-1-1-1-1000-100-1-12-10-12-1-1-1020002000-1000-10-10
χ38222-1222-122-12-1222-1-122-10202-12-12-12-1-12-1-102-20000-122200-1-1-20-102-1-1-1-1000-100-1-1-210-1-21110-2000-200010001010
χ39222-1222-122-12-1222-1-122-10-20-2-12-12-12-1-12-1-10-2200001-2-2-200112010-2-1-1-1-1000100112-1012-1-1-10-2000-2000-10001010
χ40222-1222-122-12-1222-1-122-10-20-2-12-12-12-1-12-1-10-2-200001-2-2-20011-2010-2-1-1-1-100010011-2101-21110200020001000-10-10
χ41222-1222-12-2-12-1-2-22-1-122-10202-1-21-21-21-12-1-10-220000-12-2-200-1-1-20-102111-1000100112-10-1-211102000-2000-1000-1010
χ42222-1222-12-2-12-1-2-22-1-122-10202-1-21-21-21-12-1-10-2-20000-12-2-200-1-120-102111-100010011-210-12-1-1-10-20002000100010-10
χ43222-1222-12-2-12-1-2-22-1-122-10-20-2-1-21-21-21-12-1-102200001-2220011-2010-2111-1000-100-1-12-101-21110-20002000-100010-10
χ44222-1222-12-2-12-1-2-22-1-122-10-20-2-1-21-21-21-12-1-102-200001-22200112010-2111-1000-100-1-1-21012-1-1-102000-20001000-1010
χ4522-1222-1222-1-1222-12-12-122020-1-12-12-12-1-12-1202-12220000-1-1002-1020-1-1-1-100-10-1-100-12-10-12-1-1200020000-100-10-100
χ4622-1222-1222-1-1222-12-12-122020-1-12-12-12-1-12-120-2-12220000-1-100-2-1020-1-1-1-100-10-1-1001-2-101-211-2000-2000010010100
χ4722-1222-1222-1-1222-12-12-12-20-20-1-12-12-12-1-12-1-2021-2-2-200001100210-20-1-1-1-100101100-1210-12-1-1-2000-20000-10010100
χ4822-1222-1222-1-1222-12-12-12-20-20-1-12-12-12-1-12-1-20-21-2-2-200001100-210-20-1-1-1-1001011001-2101-211200020000100-10-100
χ4922-1222-122-2-1-12-2-2-12-12-122020-11-21-21-2-1-12-1-202-12-2-20000-1-100-2-1020111-100101100-12-101-2112000-20000-100-10100
χ5022-1222-122-2-1-12-2-2-12-12-122020-11-21-21-2-1-12-1-20-2-12-2-20000-1-1002-1020111-1001011001-2-10-12-1-1-20002000010010-100
χ5122-1222-122-2-1-12-2-2-12-12-12-20-20-11-21-21-2-1-12-12021-22200001100-210-20111-100-10-1-100-12101-211-200020000-10010-100
χ5222-1222-122-2-1-12-2-2-12-12-12-20-20-11-21-21-2-1-12-120-21-22200001100210-20111-100-10-1-1001-210-12-1-12000-20000100-10100
χ53444-24-44-240-24-2004-2-2-4-42040-4-2000000-2-4220000000-240000-2-20020-40002000000000002000000000000000000000
χ54444-24-44-240-24-2004-2-2-4-420-404-2000000-2-42200000002-400002200-204000200000000000-2000000000000000000000
χ55444-2-244-2-24-2-21-2-2-21-2-24-2040414-2-21-211-21-20400000-2-2-2-2001100-20-2-2111000-200110001000000000000000000000
χ56444-2-244-2-24-2-21-2-2-21-2-24-20-40-414-2-21-211-21-20-400000222200-1-100202-2111000200-1-1000-1000000000000000000000
χ57444-2-244-2-2-4-2-2122-21-2-24-204041-422-12-11-21-20-400000-2-222001100-20-22-1-11000200-1-10001000000000000000000000
χ58444-2-244-2-2-4-2-2122-21-2-24-20-40-41-422-12-11-21-2040000022-2-200-1-1002022-1-11000-20011000-1000000000000000000000
χ59444-2-2-44-2-20-2-21−2i32i3-21-22-42040-4100−2i3i32i3−i312-120000000-2-2−2i32i30011002020i3−i3-1000000i3−i3000-1000000000000000000000
χ60444-2-2-44-2-20-2-21−2i32i3-21-22-420-404100−2i3i32i3−i312-120000000222i3−2i300-1-100-20-20i3−i3-1000000−i3i30001000000000000000000000
χ61444-2-2-44-2-20-2-212i3−2i3-21-22-42040-41002i3−i3−2i3i312-120000000-2-22i3−2i30011002020−i3i3-1000000−i3i3000-1000000000000000000000
χ62444-2-2-44-2-20-2-212i3−2i3-21-22-420-4041002i3−i3−2i3i312-12000000022−2i32i300-1-100-20-20−i3i3-1000000i3−i30001000000000000000000000
χ6344-244-4-2440-2-2400-24-2-42-440-40-2000000-22-42000-24000000-2-200020-400002000000000020000000000000000000000
χ6444-244-4-2440-2-2400-24-2-42-4-4040-2000000-22-420002-400000022000-204000020000000000-20000000000000000000000
χ6544-24-24-24-24-21-2-2-21-2-2-2-2440401-241-21-211-2-2400-2-2-2-2000011000-20-20-211100-2011000010000000000000000000000
χ6644-24-24-24-24-21-2-2-21-2-2-2-24-40-401-241-21-211-2-2-40022220000-1-10002020-21110020-1-10000-10000000000000000000000
χ6744-24-24-24-2-4-21-2221-2-2-2-24404012-4-12-1211-2-2-400-2-222000011000-20-202-1-110020-1-1000010000000000000000000000
χ6844-24-24-24-2-4-21-2221-2-2-2-24-40-4012-4-12-1211-2-240022-2-20000-1-100020202-1-1100-20110000-10000000000000000000000
χ6944-24-2-4-24-20-21-2−2i32i31-2-222-440-40100i3−2i3−i32i31-122000-2-2−2i32i300001100020200i3−i3-10000i3−i30000-10000000000000000000000
χ7044-24-2-4-24-20-21-2−2i32i31-2-222-4-4040100i3−2i3−i32i31-122000222i3−2i30000-1-1000-20-200i3−i3-10000−i3i3000010000000000000000000000
χ7144-24-2-4-24-20-21-22i3−2i31-2-222-440-40100−i32i3i3−2i31-122000-2-22i3−2i300001100020200−i3i3-10000−i3i30000-10000000000000000000000
χ7244-24-2-4-24-20-21-22i3−2i31-2-222-4-4040100−i32i3i3−2i31-12200022−2i32i30000-1-1000-20-200−i3i3-10000i3−i3000010000000000000000000000
χ7344-2-244-2-2441-2-244-2-214-2-200001-2-2-2-2-2-21-2-2100400000000000040000111100000000-2-200-2-21100000000010000000
χ7444-2-244-2-2441-2-244-2-214-2-200001-2-2-2-2-2-21-2-2100-4000000000000-40000111100000000220022-1-1000000000-10000000
χ7544-2-244-2-24-41-2-2-4-4-2-214-2-2000012222221-2-21004000000000000-40000-1-1-1100000000-2-20022-1-100000000010000000
χ7644-2-244-2-24-41-2-2-4-4-2-214-2-2000012222221-2-2100-400000000000040000-1-1-11000000002200-2-211000000000-10000000
χ774-44440-4-4-4044400-4-4-400000004000000-40000000000000000000000000000000000000000000000000000022−2200000
χ784-44440-4-4-4044400-4-4-400000004000000-400000000000000000000000000000000000000000000000000000−222200000
χ7988-4-48-8-4-4802-4-400-4-42-84400002000000244-200000000000000000000000-2000000000000000000000000000000000
χ8088-4-4-48-4-4-48222-4-4222-4-4-40000-1-4-42222-1222000000000000000000002-1-1-1000000000000000000000000000000000
χ8188-4-4-48-4-4-4-822244222-4-4-40000-144-2-2-2-2-122200000000000000000000-211-1000000000000000000000000000000000
χ8288-4-4-4-8-4-4-40222−4i34i32224440000-1002i32i3−2i3−2i3-1-2-2-2000000000000000000000−i3i31000000000000000000000000000000000
χ8388-4-4-4-8-4-4-402224i3−4i32224440000-100−2i3−2i32i32i3-1-2-2-2000000000000000000000i3−i31000000000000000000000000000000000
χ848-888-40-8-8408-4-40044-80000000-40000004000000000000000000000000000000000000000000000000000000000000
χ858-88-480-84-80-48-400-8440000000-40000004000000000000000000000000000000000000000000000000000000000000
χ868-88-4-40-8440-4-42004-2400000002000000-200000000000000006-6000000000000000000000000000000000000000000
χ878-88-4-40-8440-4-42004-2400000002000000-20000000000000000-66000000000000000000000000000000000000000000
χ888-8-48804-8-80-4-48004-840000000-40000004000000000000000000000000000000000000000000000000000000000000
χ898-8-48-404-840-42-400-24400000002000000-2000000000000006-600000000000000000000000000000000000000000000
χ908-8-48-404-840-42-400-24400000002000000-200000000000000-6600000000000000000000000000000000000000000000
χ918-8-4-48044-802-4-40044-200000002000000-200000000000000000000000000000000000000000−3i23i200000000000000000
χ928-8-4-48044-802-4-40044-200000002000000-2000000000000000000000000000000000000000003i2−3i200000000000000000
χ9316-16-8-8-80888044400-4-4-40000000-20000002000000000000000000000000000000000000000000000000000000000000

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