Finite Group Databasebeta

← Group #13155934

Character table — Group #13155934

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1122222222244444444444444444444488888888888888121212121212121212121212242424242424242424242424242424242424242424363636363636727272727272108108
order1223334466633366666666121212121212121212123666661212121212121212224466661212121246666661212121212121212121212121212226666882424242444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111-11-111-1-111-1-111-111-1-11-1111111-1-11111-1-1-1-1-1-11-111-1-1-1-1
χ411111111111111111111111111111111111111111111111-11-111-1-111-1-1-11-111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111
χ51111111111111111111111111111111111111111111111-11-11-1-111-1-1111-11-1-111-111111-1-1111111-1-1-1-1-1-1-11-1-111-1-1
χ61111111111111111111111111111111111111111111111-11-11-1-111-1-111-1-11-1-111-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-111-1-111
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-111
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ9222222-2-222222222222222-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-20000000000000000000000000000000002-222-2-200000000
χ10222222-2-222222222222222-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2000000000000000000000000000000000-22-2-22200000000
χ1122222-122-1222-1-122-122-1-12-1-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1022-1-1-1-1220000-1-1-1-1000022-1-1-1-100000000
χ1222222-122-1222-1-122-122-1-12-1-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-12-22-2-1-111-1-11102-2-1-1112-20000-1-1110000-2-2111100000000
χ1322222-122-1222-1-122-122-1-12-1-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-22-2211-1-111-1-10-2211-1-1-22000011-1-10000-2-2111100000000
χ1422222-122-1222-1-122-122-1-12-1-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2111111110-2-21111-2-200001111000022-1-1-1-100000000
χ1522222-1-2-2-1222-1-122-122-1-1211-2-21111-2-2-1-1-1-1-1-111-2-211110000−i3i3−i3i3−i3i3−i3i3000−i3i3−i3i3000000−i3i3−i3i300002-2-1-11100000000
χ1622222-1-2-2-1222-1-122-122-1-1211-2-21111-2-2-1-1-1-1-1-111-2-211110000−i3i3i3−i3−i3i3i3−i3000−i3i3i3−i3000000−i3i3i3−i30000-2211-1-100000000
χ1722222-1-2-2-1222-1-122-122-1-1211-2-21111-2-2-1-1-1-1-1-111-2-211110000i3−i3−i3i3i3−i3−i3i3000i3−i3−i3i3000000i3−i3−i3i30000-2211-1-100000000
χ1822222-1-2-2-1222-1-122-122-1-1211-2-21111-2-2-1-1-1-1-1-111-2-211110000i3−i3i3−i3i3−i3i3−i3000i3−i3i3−i3000000i3−i3i3−i300002-2-1-11100000000
χ192222-122222-1-12-12-12-1-12-1-1222-122-1-12-1-12-1-1-1-12-1-1-1-1-1-1-102020022002220-100-1-10-122-1-100-1-1-1-1-1-10000000200-1-100
χ202222-122222-1-12-12-12-1-12-1-1222-122-1-12-1-12-1-1-1-12-1-1-1-1-1-1-1020200220022-20-100-1-10-1-2-21100-1-111110000000-2001100
χ212222-122222-1-12-12-12-1-12-1-1222-122-1-12-1-12-1-1-1-12-1-1-1-1-1-1-10-20-200-2-200-2-220100110122-1-10011-1-1-1-10000000-2001100
χ222222-122222-1-12-12-12-1-12-1-1222-122-1-12-1-12-1-1-1-12-1-1-1-1-1-1-10-20-200-2-200-2-2-201001101-2-211001111110000000200-1-100
χ23222-122222-12-1-12-122-1-1-12-122-12-1-122-12-1-12-1-1-1-12-1-1-1-1-1-12020220022002-10-1-100-10-1-122-1-100-1-1-1-100000020-1-10000
χ24222-122222-12-1-12-122-1-1-12-122-12-1-122-12-1-12-1-1-1-12-1-1-1-1-1-1202022002200-2-10-1-100-1011-2-2-1-1001111000000-20110000
χ25222-122222-12-1-12-122-1-1-12-122-12-1-122-12-1-12-1-1-1-12-1-1-1-1-1-1-20-20-2-200-2-200210110010-1-1221100-1-1-1-1000000-20110000
χ26222-122222-12-1-12-122-1-1-12-122-12-1-122-12-1-12-1-1-1-12-1-1-1-1-1-1-20-20-2-200-2-200-21011001011-2-21100111100000020-1-10000
χ2722-22222-2222222-2-2-2-2-22222-22-222-2-2-222-2-2-2-22-222-222-2-2020-2002200-2-200200220-2000000-2-2000000000000000000
χ2822-22222-2222222-2-2-2-2-22222-22-222-2-2-222-2-2-2-22-222-222-2-20-20200-2-2002200-200-2-20200000022000000000000000000
χ2922-2222-22222222-2-2-2-2-2222-22-22-2-2222-22-2-2-2-222-2-22-2-22220-202200-2-2000202200-200000-2-200000000000000000000
χ3022-2222-22222222-2-2-2-2-2222-22-22-2-2222-22-2-2-2-222-2-22-2-222-2020-2-20022000-20-2-2002000002200000000000000000000
χ3122-222-12-2-1222-1-1-2-21-2-2-1-12-112-2-1-111-22-11111-11-12-2-1-111020-2−i3i3-1-1i3−i311002−i3i3-1-10-20000i3−i311000000−i3i3−i3i300000000
χ3222-222-12-2-1222-1-1-2-21-2-2-1-12-112-2-1-111-22-11111-11-12-2-1-111020-2i3−i3-1-1−i3i311002i3−i3-1-10-20000−i3i311000000i3−i3i3−i300000000
χ3322-222-12-2-1222-1-1-2-21-2-2-1-12-112-2-1-111-22-11111-11-12-2-1-1110-202−i3i311i3−i3-1-100-2−i3i311020000i3−i3-1-1000000i3−i3i3−i300000000
χ3422-222-12-2-1222-1-1-2-21-2-2-1-12-112-2-1-111-22-11111-11-12-2-1-1110-202i3−i311−i3i3-1-100-2i3−i311020000−i3i3-1-1000000−i3i3−i3i300000000
χ3522-222-1-22-1222-1-1-2-21-2-2-1-121-1-2211-1-12-2-11111-1-11-2211-1-120-20-1-1−i3i311i3−i3020-1-1−i3i3-20000011i3−i3000000−i3i3i3−i300000000
χ3622-222-1-22-1222-1-1-2-21-2-2-1-121-1-2211-1-12-2-11111-1-11-2211-1-120-20-1-1i3−i311−i3i3020-1-1i3−i3-20000011−i3i3000000i3−i3−i3i300000000
χ3722-222-1-22-1222-1-1-2-21-2-2-1-121-1-2211-1-12-2-11111-1-11-2211-1-1-202011−i3i3-1-1i3−i30-2011−i3i3200000-1-1i3−i3000000i3−i3−i3i300000000
χ3822-222-1-22-1222-1-1-2-21-2-2-1-121-1-2211-1-12-2-11111-1-11-2211-1-1-202011i3−i3-1-1−i3i30-2011i3−i3200000-1-1−i3i3000000−i3i3i3−i300000000
χ3922-22-122-222-1-12-1-21-2112-1-12-2212211-2-1-1-2111-1-2-1-11-1-111020-2002200-2-200-100-1-10100−i3i30011−i3−i3i3i30000000000−i3i300
χ4022-22-122-222-1-12-1-21-2112-1-12-2212211-2-1-1-2111-1-2-1-11-1-111020-2002200-2-200-100-1-10100i3−i30011i3i3−i3−i30000000000i3−i300
χ4122-22-122-222-1-12-1-21-2112-1-12-2212211-2-1-1-2111-1-2-1-11-1-1110-20200-2-2002200100110-100−i3i300-1-1−i3−i3i3i30000000000i3−i300
χ4222-22-122-222-1-12-1-21-2112-1-12-2212211-2-1-1-2111-1-2-1-11-1-1110-20200-2-2002200100110-100i3−i300-1-1i3i3−i3−i30000000000−i3i300
χ4322-2-122-222-12-1-121-2-211-12-1-22121122-1-2-11-211-1-1-21-111-1-120-202200-2-2000-10-1-10010−i3i3001100−i3i3−i3i300000000−i3i30000
χ4422-2-122-222-12-1-121-2-211-12-1-22121122-1-2-11-211-1-1-21-111-1-120-202200-2-2000-10-1-10010i3−i3001100i3−i3i3−i300000000i3−i30000
χ4522-2-122-222-12-1-121-2-211-12-1-22121122-1-2-11-211-1-1-21-111-1-1-2020-2-20022000101100-10−i3i300-1-100−i3i3−i3i300000000i3−i30000
χ4622-2-122-222-12-1-121-2-211-12-1-22121122-1-2-11-211-1-1-21-111-1-1-2020-2-20022000101100-10i3−i300-1-100i3−i3i3−i300000000−i3i30000
χ474444-24-4-444-2-24-24-24-2-24-2-2-4-4-42-4-422-42-24-2-2-2-2-4222222200000000000000000000000000000000000000000000000
χ484444-2-244-24-2-2-214-2-2-2-2-21-2-2-24-2-2-2114-21-21111-21-2-21111040400-2-200-2-200-200110-200000011000000000000000000
χ494444-2-244-24-2-2-214-2-2-2-2-21-2-2-24-2-2-2114-21-21111-21-2-211110-40-40022002200200-1-102000000-1-1000000000000000000
χ504444-2-2-4-4-24-2-2-214-2-2-2-2-21-222-4222-1-1-421-211112-122-1-1-1-1000000−2i32i300−2i32i300000i3−i300000000i3−i3000000000000000000
χ514444-2-2-4-4-24-2-2-214-2-2-2-2-21-222-4222-1-1-421-211112-122-1-1-1-10000002i3−2i3002i3−2i300000−i3i300000000−i3i3000000000000000000
χ52444-244-4-44-24-2-24-244-2-2-24-2-4-42-422-4-42-4-2-24-2-2-22-422222200000000000000000000000000000000000000000000000
χ53444-24-244-2-24-21-2-24-2-2-21-2-2-2-2-2411-2-2-2411-21111-2-2-211114040-2-200-2-2000-201100-2000001100000000000000000000
χ54444-24-244-2-24-21-2-24-2-2-21-2-2-2-2-2411-2-2-2411-21111-2-2-21111-40-4022002200020-1-100200000-1-100000000000000000000
χ55444-24-2-4-4-2-24-21-2-24-2-2-21-2-2222-4-1-1222-411-2111-1222-1-1-1-10000−2i32i300−2i32i300000i3−i300000000i3−i300000000000000000000
χ56444-24-2-4-4-2-24-21-2-24-2-2-21-2-2222-4-1-1222-411-2111-1222-1-1-1-100002i3−2i3002i3−2i300000−i3i300000000−i3i300000000000000000000
χ57444-2-24444-2-21-2-2-2-2411-2-2144-2-2-2-2-2-2-2-21-2-2111-2-2111111000000000000400000000-2-2-2-20000111100000000000000
χ58444-2-24444-2-21-2-2-2-2411-2-2144-2-2-2-2-2-2-2-21-2-2111-2-2111111000000000000-40000000022220000-1-1-1-100000000000000
χ59444-2-24-4-44-2-21-2-2-2-2411-2-21-4-4222222221-2-211122-1-1-1-1-1-1000000000000000000000000000003-3-3300000000000000
χ60444-2-24-4-44-2-21-2-2-2-2411-2-21-4-4222222221-2-211122-1-1-1-1-1-100000000000000000000000000000-333-300000000000000
χ6144-44-24-4444-2-24-2-42-4224-2-2-44-4-2-4-4-2-242-2-4222-2422-222-2-200000000000000000000000000000000000000000000000
χ6244-44-2-24-4-24-2-2-21-42222-21-2-2242-2-2-1-1-4-212-1-1-1121-2211-1-1040-400-2-2002200-2001102000000-1-1000000000000000000
χ6344-44-2-24-4-24-2-2-21-42222-21-2-2242-2-2-1-1-4-212-1-1-1121-2211-1-10-404002200-2-200200-1-10-200000011000000000000000000
χ6444-44-2-2-44-24-2-2-21-42222-21-22-2-4-222114212-1-1-11-2-12-2-1-111000000−2i32i3002i3−2i300000i3−i300000000−i3i3000000000000000000
χ6544-44-2-2-44-24-2-2-21-42222-21-22-2-4-222114212-1-1-11-2-12-2-1-1110000002i3−2i300−2i32i300000−i3i300000000i3−i3000000000000000000
χ6644-4-2444-44-24-2-242-4-422-24-24-4-2-4-2-2-4-424-22-422-224-22-2-22200000000000000000000000000000000000000000000000
χ6744-4-24-24-4-2-24-21-22-42221-2-2-22-2-41122241-12-1-11-1-2-2211-1-10000−2i32i3002i3−2i300000i3−i300000000−i3i300000000000000000000
χ6844-4-24-24-4-2-24-21-22-42221-2-2-22-2-41122241-12-1-11-1-2-2211-1-100002i3−2i300−2i32i300000−i3i300000000i3−i300000000000000000000
χ6944-4-24-2-44-2-24-21-22-42221-2-22-224-1-1-2-2-2-41-12-1-11122-2-1-11140-40-2-20022000-201100200000-1-100000000000000000000
χ7044-4-24-2-44-2-24-21-22-42221-2-22-224-1-1-2-2-2-41-12-1-11122-2-1-111-40402200-2-200020-1-100-2000001100000000000000000000
χ7144-4-2-244-44-2-21-2-222-4-1-1-2-214-4-22-2-2222-2122-1-112-21-111-1-100000000000000000000000−2i32i30000i3i3−i3−i300000000000000
χ7244-4-2-244-44-2-21-2-222-4-1-1-2-214-4-22-2-2222-2122-1-112-21-111-1-1000000000000000000000002i3−2i30000−i3−i3i3i300000000000000
χ7344-4-2-24-444-2-21-2-222-4-1-1-2-21-442-222-2-2-22122-1-11-22-11-1-111000000000000000000000−2i32i3000000i3−i3i3−i300000000000000
χ7444-4-2-24-444-2-21-2-222-4-1-1-2-21-442-222-2-2-22122-1-11-22-11-1-1110000000000000000000002i3−2i3000000−i3i3−i3i300000000000000
χ754-4044400-4-4-444400000-4-4-4000000000040000-4000000000000000000000000000000000000000000000000000002i−2i
χ764-4044400-4-4-444400000-4-4-4000000000040000-400000000000000000000000000000000000000000000000000000−2i2i
χ77888-4-4-488-4-4-4222-4-4-422222-4-4-4-42222-4-4-122-1-1-12222-1-1-1-100000000000000000000000000000000000000000000000
χ78888-4-4-4-8-8-4-4-4222-4-4-4222224444-2-2-2-244-122-1-1-1-2-2-2-2111100000000000000000000000000000000000000000000000
χ7988-8-4-4-48-8-4-4-4222444-2-2222-44-4422-2-24-4-1-2-211-1-222-2-1-11100000000000000000000000000000000000000000000000
χ8088-8-4-4-4-88-4-4-4222444-2-22224-44-4-2-222-44-1-2-211-12-2-2211-1-100000000000000000000000000000000000000000000000
χ818-8088-4004-8-88-4-40000044-80000000000-4000040000000000000000000000000000000000000000000000000000000
χ828-808-4800-8-84-48-400000-8440000000000-4000040000000000000000000000000000000000000000000000000000000
χ838-808-4-4004-84-4-42000004-240000006i−6i0020000-20000006i−6i00000000000000000000000000000000000000000000000
χ848-808-4-4004-84-4-42000004-24000000−6i6i0020000-2000000−6i6i00000000000000000000000000000000000000000000000
χ858-80-48800-84-8-4-48000004-840000000000-4000040000000000000000000000000000000000000000000000000000000
χ868-80-48-40044-8-42-400000-24400006i−6i000020000-200006i−6i0000000000000000000000000000000000000000000000000
χ878-80-48-40044-8-42-400000-2440000−6i6i000020000-20000−6i6i0000000000000000000000000000000000000000000000000
χ888-80-4-4800-8442-4-40006-644-200000000002006-6-20000000000000000000000000000000000000000000000000000000
χ898-80-4-4800-8442-4-4000-6644-20000000000200-66-20000000000000000000000000000000000000000000000000000000
χ908-80-4-4-4004442220006-6-2-2-200006i−6i6i−6i00-100-3310000−3i3i−3i3i00000000000000000000000000000000000000000000000
χ918-80-4-4-4004442220006-6-2-2-20000−6i6i−6i6i00-100-33100003i−3i3i−3i00000000000000000000000000000000000000000000000
χ928-80-4-4-400444222000-66-2-2-200006i−6i−6i6i00-1003-310000−3i3i3i−3i00000000000000000000000000000000000000000000000
χ938-80-4-4-400444222000-66-2-2-20000−6i6i6i−6i00-1003-3100003i−3i−3i3i00000000000000000000000000000000000000000000000

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