Finite Group Databasebeta

← Group #13155918

Character table — Group #13155918

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1122222222244444444444444444444488888888888888121212121212121212121212242424242424242424242424242424242424242424363636363636727272727272108108
order122333446663336666666612121212121212121212366666121212121212121222446666121212122666666666666661212121212124412121212882424242444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111-11-111-1-111-1-111-1111111-1-111111-111-1-1-1-1-1-1-1-11-111-1-1-1-1
χ411111111111111111111111111111111111111111111111-11-111-1-111-1-1-11-1-1-1-1-111-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-11-1-11111
χ51111111111111111111111111111111111111111111111-11-11-1-111-1-1111-111111-1-1111111-11-1-111-1-1-1-1-1-1-11-1-111-1-1
χ61111111111111111111111111111111111111111111111-11-11-1-111-1-111-1-11-1-1-1-1-1-111-1-1-1-1-11-1-111-1-1-1-1-1-11-111-1-111
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111
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
χ1122222-1222-122-1-122-1-1-1-12-12-12222-1-12-1-12-1-1-1-1-1-12-1-1-1-1-102020022002220-122-1-100-1-1-1-1-1-10-100-1-10000000200-1-100
χ1222222-1222-122-1-122-1-1-1-12-12-12222-1-12-1-12-1-1-1-1-1-12-1-1-1-1-1020200220022-20-1-2-21100-1-111110-100-1-10000000-2001100
χ1322222-1222-122-1-122-1-1-1-12-12-12222-1-12-1-12-1-1-1-1-1-12-1-1-1-1-10-20-200-2-200-2-220122-1-10011-1-1-1-10100110000000-2001100
χ1422222-1222-122-1-122-1-1-1-12-12-12222-1-12-1-12-1-1-1-1-1-12-1-1-1-1-10-20-200-2-200-2-2-201-2-211001111110100110000000200-1-100
χ152222-1222-122-12-12-12-1-1-1-12-1222-1-122-12-1-12-1-1-1-1-1-12-1-1-1-12020220022002-10-1-122-1-100-1-1-1-1-10-1-10000000020-1-10000
χ162222-1222-122-12-12-12-1-1-1-12-1222-1-122-12-1-12-1-1-1-1-1-12-1-1-1-1202022002200-2-1011-2-2-1-1001111-10-1-100000000-20110000
χ172222-1222-122-12-12-12-1-1-1-12-1222-1-122-12-1-12-1-1-1-1-1-12-1-1-1-1-20-20-2-200-2-200210-1-1221100-1-1-1-1101100000000-20110000
χ182222-1222-122-12-12-12-1-1-1-12-1222-1-122-12-1-12-1-1-1-1-1-12-1-1-1-1-20-20-2-200-2-200-21011-2-21100111110110000000020-1-10000
χ19222-1222222-1-1-12-122222-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-10220000-1-1-1-1000022-1-1-1-122-1-1-1-100000000
χ20222-1222222-1-1-12-122222-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-22-2-1-111-1-11102-20000-1-11100002-2-1-111-2-2111100000000
χ21222-1222222-1-1-12-122222-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-22-2211-1-111-1-10-22000011-1-10000-2211-1-1-2-2111100000000
χ22222-1222222-1-1-12-122222-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111110-2-2000011110000-2-2111122-1-1-1-100000000
χ23222-122-2-222-1-1-12-122222-1-1-2-2111111-2-2-1-1-1-1-1-1-2-21111110000−i3i3−i3i3−i3i3−i3i30000000−i3i3−i3i3000000−i3i3−i3i32-2-1-11100000000
χ24222-122-2-222-1-1-12-122222-1-1-2-2111111-2-2-1-1-1-1-1-1-2-21111110000−i3i3i3−i3−i3i3i3−i30000000−i3i3i3−i3000000−i3i3i3−i3-2211-1-100000000
χ25222-122-2-222-1-1-12-122222-1-1-2-2111111-2-2-1-1-1-1-1-1-2-21111110000i3−i3−i3i3i3−i3−i3i30000000i3−i3−i3i3000000i3−i3−i3i3-2211-1-100000000
χ26222-122-2-222-1-1-12-122222-1-1-2-2111111-2-2-1-1-1-1-1-1-2-21111110000i3−i3i3−i3i3−i3i3−i30000000i3−i3i3−i3000000i3−i3i3−i32-2-1-11100000000
χ2722-22222-2222222-2-2-2-2-22222-22-222-2-2-222-2-2-2-222-2-2222-2-2020-2002200-2-20020000002200000-200-2-200000000000000
χ2822-22222-2222222-2-2-2-2-22222-22-222-2-2-222-2-2-2-222-2-2222-2-20-20200-2-2002200-2000000-2-2000002002200000000000000
χ2922-2222-22222222-2-2-2-2-2222-22-22-2-2222-22-2-2-2-22-222-2-2-22220-202200-2-200020000022000000-20-2-20000000000000000
χ3022-2222-22222222-2-2-2-2-2222-22-22-2-2222-22-2-2-2-22-222-2-2-222-2020-2-20022000-200000-2-200000020220000000000000000
χ3122-222-12-22-122-1-1-2-2111-12-1212-22211-2-1-1-2111-1-11-2-1-1-111020-2002200-2-200-100−i3i300-1-1−i3−i3i3i30100110000000000−i3i300
χ3222-222-12-22-122-1-1-2-2111-12-1212-22211-2-1-1-2111-1-11-2-1-1-111020-2002200-2-200-100i3−i300-1-1i3i3−i3−i30100110000000000i3−i300
χ3322-222-12-22-122-1-1-2-2111-12-1212-22211-2-1-1-2111-1-11-2-1-1-1110-20200-2-2002200100−i3i30011−i3−i3i3i30-100-1-10000000000i3−i300
χ3422-222-12-22-122-1-1-2-2111-12-1212-22211-2-1-1-2111-1-11-2-1-1-1110-20200-2-2002200100i3−i30011i3i3−i3−i30-100-1-10000000000−i3i300
χ3522-22-12-22-122-12-1-21-211-1-1212-221122-1-2-11-211-11-1-1-211-1-120-202200-2-2000-10−i3i300-1-100−i3i3−i3i310110000000000−i3i30000
χ3622-22-12-22-122-12-1-21-211-1-1212-221122-1-2-11-211-11-1-1-211-1-120-202200-2-2000-10i3−i300-1-100i3−i3i3−i310110000000000i3−i30000
χ3722-22-12-22-122-12-1-21-211-1-1212-221122-1-2-11-211-11-1-1-211-1-1-2020-2-2002200010−i3i3001100−i3i3−i3i3-10-1-10000000000i3−i30000
χ3822-22-12-22-122-12-1-21-211-1-1212-221122-1-2-11-211-11-1-1-211-1-1-2020-2-2002200010i3−i3001100i3−i3i3−i3-10-1-10000000000−i3i30000
χ3922-2-1222-222-1-1-121-2-2-2-22-1-12-2-11-1-111-22-11111-12-21-1-1-111020-2−i3i3-1-1i3−i3110020000−i3i3-1-100000-2i3−i31100−i3i3−i3i300000000
χ4022-2-1222-222-1-1-121-2-2-2-22-1-12-2-11-1-111-22-11111-12-21-1-1-111020-2i3−i3-1-1−i3i3110020000i3−i3-1-100000-2−i3i31100i3−i3i3−i300000000
χ4122-2-1222-222-1-1-121-2-2-2-22-1-12-2-11-1-111-22-11111-12-21-1-1-1110-202−i3i311i3−i3-1-100-20000−i3i311000002i3−i3-1-100i3−i3i3−i300000000
χ4222-2-1222-222-1-1-121-2-2-2-22-1-12-2-11-1-111-22-11111-12-21-1-1-1110-202i3−i311−i3i3-1-100-20000i3−i311000002−i3i3-1-100−i3i3−i3i300000000
χ4322-2-122-2222-1-1-121-2-2-2-22-1-1-221-111-1-12-2-11111-1-22-1111-1-120-20-1-1−i3i311i3−i30200000-1-1−i3i30000-2011i3−i300−i3i3i3−i300000000
χ4422-2-122-2222-1-1-121-2-2-2-22-1-1-221-111-1-12-2-11111-1-22-1111-1-120-20-1-1i3−i311−i3i30200000-1-1i3−i30000-2011−i3i300i3−i3−i3i300000000
χ4522-2-122-2222-1-1-121-2-2-2-22-1-1-221-111-1-12-2-11111-1-22-1111-1-1-202011−i3i3-1-1i3−i30-20000011−i3i3000020-1-1i3−i300i3−i3−i3i300000000
χ4622-2-122-2222-1-1-121-2-2-2-22-1-1-221-111-1-12-2-11111-1-22-1111-1-1-202011i3−i3-1-1−i3i30-20000011i3−i3000020-1-1−i3i300−i3i3i3−i300000000
χ4744444-2-4-44-244-2-244-2-2-2-24-2-42-4-4-4-422-42-24-2-2-2-222-42222200000000000000000000000000000000000000000000000
χ484444-24-4-4-244-24-24-24-2-2-2-242-4-4-422-4-42-4-2-24-2-2-2222-4222200000000000000000000000000000000000000000000000
χ494444-2-244-2-24-2-214-2-2111-2-2-2-244-2-2-2-2-2-21-2-211111-2-21111000000000000400-2-2-2-20000111100000000000000000000
χ504444-2-244-2-24-2-214-2-2111-2-2-2-244-2-2-2-2-2-21-2-211111-2-21111000000000000-40022220000-1-1-1-100000000000000000000
χ514444-2-2-4-4-2-24-2-214-2-2111-2-222-4-42222221-2-2111-1-122-1-1-1-1000000000000000000000003-3-3300000000000000000000
χ524444-2-2-4-4-2-24-2-214-2-2111-2-222-4-42222221-2-2111-1-122-1-1-1-100000000000000000000000-333-300000000000000000000
χ53444-24-2444-2-2-21-2-24-2-2-2-2-214-2-2-2-2-2114-21-21111-2-2-211111040400-2-200-2-200-20000001100000-2001100000000000000
χ54444-24-2444-2-2-21-2-24-2-2-2-2-214-2-2-2-2-2114-21-21111-2-2-2111110-40-400220022002000000-1-100000200-1-100000000000000
χ55444-24-2-4-44-2-2-21-2-24-2-2-2-2-21-422222-1-1-421-21111222-1-1-1-1-1000000−2i32i300−2i32i3000000000i3−i300000000i3−i300000000000000
χ56444-24-2-4-44-2-2-21-2-24-2-2-2-2-21-422222-1-1-421-21111222-1-1-1-1-10000002i3−2i3002i3−2i3000000000−i3i300000000−i3i300000000000000
χ57444-2-2444-24-21-2-2-2-24-2-2-21-2-24-2-211-2-2-2411-2111-2-21-211114040-2-200-2-2000-20000011000000-20110000000000000000
χ58444-2-2444-24-21-2-2-2-24-2-2-21-2-24-2-211-2-2-2411-2111-2-21-21111-40-40220022000200000-1-100000020-1-10000000000000000
χ59444-2-24-4-4-24-21-2-2-2-24-2-2-21-22-422-1-1222-411-211122-12-1-1-1-10000−2i32i300−2i32i3000000000i3−i300000000i3−i30000000000000000
χ60444-2-24-4-4-24-21-2-2-2-24-2-2-21-22-422-1-1222-411-211122-12-1-1-1-100002i3−2i3002i3−2i3000000000−i3i300000000−i3i30000000000000000
χ6144-444-2-444-244-2-2-4-4222-24-2-4-2-44-4-4-2-242-2-4222-22-24222-2-200000000000000000000000000000000000000000000000
χ6244-44-244-4-244-24-2-42-422-2-24-2-44-4-2-2-4-424-22-422-2-2224-2-22200000000000000000000000000000000000000000000000
χ6344-44-2-24-4-2-24-2-21-422-1-11-2-2-224-4-2-2222-2122-1-111-12-211-1-100000000000000000−2i32i30000i3i3−i3−i300000000000000000000
χ6444-44-2-24-4-2-24-2-21-422-1-11-2-2-224-4-2-2222-2122-1-111-12-211-1-1000000000000000002i3−2i30000−i3−i3i3i300000000000000000000
χ6544-44-2-2-44-2-24-2-21-422-1-11-2-22-2-4422-2-2-22122-1-11-11-22-1-111000000000000000−2i32i3000000i3−i3i3−i300000000000000000000
χ6644-44-2-2-44-2-24-2-21-422-1-11-2-22-2-4422-2-2-22122-1-11-11-22-1-1110000000000000002i3−2i3000000−i3i3−i3i300000000000000000000
χ6744-4-24-24-44-2-2-21-22-4222-2-2142-22-2-2-1-1-4-212-1-1-11-222111-1-1040-400-2-2002200-20000001100000200-1-100000000000000
χ6844-4-24-24-44-2-2-21-22-4222-2-2142-22-2-2-1-1-4-212-1-1-11-222111-1-10-404002200-2-2002000000-1-100000-2001100000000000000
χ6944-4-24-2-444-2-2-21-22-4222-2-21-4-22-222114212-1-1-112-2-2-1-1-111000000−2i32i3002i3−2i3000000000i3−i300000000−i3i300000000000000
χ7044-4-24-2-444-2-2-21-22-4222-2-21-4-22-222114212-1-1-112-2-2-1-1-1110000002i3−2i300−2i32i3000000000−i3i300000000i3−i300000000000000
χ7144-4-2-244-4-24-21-2-222-422-21-2-2-4-221122241-12-1-11-22-1-211-1-10000−2i32i3002i3−2i3000000000i3−i300000000−i3i30000000000000000
χ7244-4-2-244-4-24-21-2-222-422-21-2-2-4-221122241-12-1-11-22-1-211-1-100002i3−2i300−2i32i3000000000−i3i300000000i3−i30000000000000000
χ7344-4-2-24-44-24-21-2-222-422-21-2242-2-1-1-2-2-2-41-12-1-112-212-1-11140-40-2-20022000-2000001100000020-1-10000000000000000
χ7444-4-2-24-44-24-21-2-222-422-21-2242-2-1-1-2-2-2-41-12-1-112-212-1-111-40402200-2-2000200000-1-1000000-20110000000000000000
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
χ7988-8-4-4-48-8-4-4-4222444-2-2222-44-4422-2-24-4-1-2-211-12-2-22-1-11100000000000000000000000000000000000000000000000
χ8088-8-4-4-4-88-4-4-4222444-2-22224-44-4-2-222-44-1-2-211-1-222-211-1-100000000000000000000000000000000000000000000000
χ818-8088-400-84-88-4-4000004-840000000000-4000040000000000000000000000000000000000000000000000000000000
χ828-808-48004-8-8-48-40000044-80000000000-4000040000000000000000000000000000000000000000000000000000000
χ838-808-4-40044-8-4-420006-6-24400000000002006-6-20000000000000000000000000000000000000000000000000000000
χ848-808-4-40044-8-4-42000-66-2440000000000200-66-20000000000000000000000000000000000000000000000000000000
χ858-80-48800-8-84-4-4800000-8440000000000-4000040000000000000000000000000000000000000000000000000000000
χ868-80-48-400-844-42-40000044-20000006i−6i0020000-20000006i−6i00000000000000000000000000000000000000000000000
χ878-80-48-400-844-42-40000044-2000000−6i6i0020000-2000000−6i6i00000000000000000000000000000000000000000000000
χ888-80-4-48004-842-4-4000004-2400006i−6i000020000-200006i−6i0000000000000000000000000000000000000000000000000
χ898-80-4-48004-842-4-4000004-240000−6i6i000020000-20000−6i6i0000000000000000000000000000000000000000000000000
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).