Finite Group Databasebeta

← Group #11864919

Character table — Group #11864919

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size112222222444444444488888888899121212121212121212121212161616161616161616161818182424242424242424242424242424363648487272
order122334466344666121212126881212121212122222224444444412122424242424242424244446666121212121212121244121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ31111111111111111111111111111-1-111-1-111-1-111-1-11111111111-1-1-11-111-1-111-1-111-1-1-1-11-1-1-1
χ41111111111111111111111111111-1-1-1-111-1-111-1-1111111111111-1-1-1-11-1-111-1-111-1-111-1-1-11-1-1
χ511111111111111111111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111-1-111111111-1-1-1-111-1-1-1-1
χ611111111111111111111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1
χ711111111111111111111-1-1111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-111-1-1-1111
χ811111111111111111111-1-1111111-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1-111-1-11111-1-1-1-11-111
χ91111111111-1-1111111111-1-1-1-1-111111-11-11-11-11111-1-111-1-111-1-1111-1-11-11-11-11-11111-1-1-1-11-1
χ101111111111-1-1111111111-1-1-1-1-11111-11-11-11-11-1-1-1-1-1-111-1-111-1-111111-11-11-11-11-1-1-1-1-1-1111-1
χ111111111111-1-1111111111-1-1-1-1-111-1-11-1-111-1-1111-1-1-1-111-1-111-1-1-1-1-1-111-1-111-1-1111-1-111-11-11
χ121111111111-1-1111111111-1-1-1-1-111-1-1-111-1-111-1-1-111-1-111-1-111-1-1-1-1-11-1-111-1-111-1-1-111111-1-11
χ131111111111-1-111111111-11-1-1-1-111111-11-11-11-1-1-1-1-1-1-1-1-111-1-111111111-11-11-11-1-1-1-1-1-1-111-11
χ141111111111-1-111111111-11-1-1-1-11111-11-11-11-111111-1-1-1-111-1-111111-1-1-11-11-11-111111-1-1-1-1-11
χ151111111111-1-111111111-11-1-1-1-111-1-11-1-111-1-11-1-111-1-1-1-111-1-111-1-1-11-11-1-111-1-11-1-111111-11-1
χ161111111111-1-111111111-11-1-1-1-111-1-1-111-1-111-111-1-1-1-1-1-111-1-111-1-1-1-11-111-1-111-111-1-111-111-1
χ1722222-2-22222-2222-2-2-2-220022-2-2-2-2220000000000002-2000000002-2-2000000000000002-20000
χ1822222-2-22222-2222-2-2-2-220022-2-2-2-2-2-20000000000002-200000000-22200000000000000-220000
χ1922222-2-2222-22222-2-2-2-2200-2-222-2-222000000000000-22000000002-2-200000000000000-220000
χ2022222-2-2222-22222-2-2-2-2200-2-222-2-2-2-2000000000000-2200000000-222000000000000002-20000
χ212222-1222-1-1222-1-122-1-1-1222-12-1-1-100002200220022-1-12-12-1-1-1-1-10000200-1-100-1-100-1-1000-100
χ222222-1222-1-1222-1-122-1-1-1222-12-1-1-10000-2-200-2-200-2-2-1-12-12-1-1-1-1-10000-2001100110011000100
χ232222-1222-1-1222-1-122-1-1-1-2-22-12-1-1-1000022002200-2-2-1-1-21-2111110000-200-1-100-1-10011000100
χ242222-1222-1-1222-1-122-1-1-1-2-22-12-1-1-10000-2-200-2-20022-1-1-21-211111000020011001100-1-1000-100
χ252222-1222-1-1-2-22-1-122-1-1-12-2-21-21-1-100002-2002-20022112-1-21-1-1110000-200-1100-1100-1-1000100
χ262222-1222-1-1-2-22-1-122-1-1-12-2-21-21-1-10000-2200-2200-2-2112-1-21-1-11100002001-1001-10011000-100
χ272222-1222-1-1-2-22-1-122-1-1-1-22-21-21-1-100002-2002-200-2-211-212-111-1-10000200-1100-110011000-100
χ282222-1222-1-1-2-22-1-122-1-1-1-22-21-21-1-10000-2200-22002211-212-111-1-10000-2001-1001-100-1-1000100
χ29222-1222-12-122-12-1-1-122-122-12-12-1-100220022002200-1-1-12-12-1-1-1-100020-1-100-1-100-1-10000-1000
χ30222-1222-12-122-12-1-1-122-122-12-12-1-100-2-200-2-200-2-200-1-1-12-12-1-1-1-1000-20110011001100001000
χ31222-1222-12-122-12-1-1-122-1-2-2-12-12-1-10022002200-2-200-1-11-21-21111000-20-1-100-1-1001100001000
χ32222-1222-12-122-12-1-1-122-1-2-2-12-12-1-100-2-200-2-2002200-1-11-21-211110002011001100-1-10000-1000
χ33222-1222-12-1-2-2-12-1-1-122-12-21-21-2-1-1002-2002-200220011-121-2-1-111000-20-1100-1100-1-100001000
χ34222-1222-12-1-2-2-12-1-1-122-12-21-21-2-1-100-2200-2200-2-20011-121-2-1-111000201-1001-100110000-1000
χ35222-1222-12-1-2-2-12-1-1-122-1-221-21-2-1-1002-2002-200-2-200111-2-1211-1-100020-1100-1100110000-1000
χ36222-1222-12-1-2-2-12-1-1-122-1-221-21-2-1-100-2200-22002200111-2-1211-1-1000-201-1001-100-1-100001000
χ3722-2222-222200-2-222-22-2-20000002-22202020-20-200000000000000-22-20002020-20-20000000000
χ3822-2222-222200-2-222-22-2-20000002-2220-20-2020200000000000000-22-2000-20-202020000000000
χ3922-2222-222200-2-222-22-2-20000002-2-2-2020-20-202000000000000002-2200020-20-2020000000000
χ4022-2222-222200-2-222-22-2-20000002-2-2-20-202020-2000000000000002-22000-202020-20000000000
χ4122-222-2222200-2-22-22-22-2000000-22222020-20-2000000000000000-2-22002020-20-200000000000
χ4222-222-2222200-2-22-22-22-2000000-2222-20-20202000000000000000-2-2200-20-2020200000000000
χ4322-222-2222200-2-22-22-22-2000000-22-2-220-20-20200000000000000022-20020-20-20200000000000
χ4422-222-2222200-2-22-22-22-2000000-22-2-2-202020-200000000000000022-200-202020-200000000000
χ454444-2-4-44-2-24-44-2-2-4-422-2004-2-422200000000000000-220000000000000000000000000000000
χ464444-2-4-44-2-2-444-2-2-4-422-200-424-222000000000000002-20000000000000000000000000000000
χ47444-24-4-4-24-24-4-24-222-4-4-200-242-42200000000000000-220000000000000000000000000000000
χ48444-24-4-4-24-2-44-24-222-4-4-2002-4-2422000000000000002-20000000000000000000000000000000
χ49444-2-244-2-2144-2-21-2-2-2-2144-2-2-2-2110000000000000011-2-2-2-2111100000000000000000000000
χ50444-2-244-2-2144-2-21-2-2-2-21-4-4-2-2-2-21100000000000000112222-1-1-1-100000000000000000000000
χ51444-2-244-2-21-4-4-2-21-2-2-2-214-422221100000000000000-1-1-2-22211-1-100000000000000000000000
χ52444-2-244-2-21-4-4-2-21-2-2-2-21-4422221100000000000000-1-122-2-2-1-11100000000000000000000000
χ53444-2-2-4-4-2-214-4-2-212222100-2-222-1-1000000000000001-100003i−3i3i−3i00000000000000000000000
χ54444-2-2-4-4-2-214-4-2-212222100-2-222-1-1000000000000001-10000−3i3i−3i3i00000000000000000000000
χ55444-2-2-4-4-2-21-44-2-21222210022-2-2-1-100000000000000-1100003i−3i−3i3i00000000000000000000000
χ56444-2-2-4-4-2-21-44-2-21222210022-2-2-1-100000000000000-110000−3i3i3i−3i00000000000000000000000
χ5744-44-24-44-2-200-42-24-4-222000000-22000004000-40000000000000000000000-200020000000000
χ5844-44-24-44-2-200-42-24-4-222000000-2200000-4000400000000000000000000002000-20000000000
χ5944-44-2-444-2-200-42-2-442-220000002-200004000-40000000000000000000000-2000200000000000
χ6044-44-2-444-2-200-42-2-442-220000002-20000-4000400000000000000000000002000-200000000000
χ6144-4-244-4-24-2002-4-2-224-42000000-220004000-40000000000000000000000-20002000000000000
χ6244-4-244-4-24-2002-4-2-224-42000000-22000-4000400000000000000000000002000-2000000000000
χ6344-4-24-44-24-2002-4-22-2-4420000002-2004000-40000000000000000000000-200020000000000000
χ6444-4-24-44-24-2002-4-22-2-4420000002-200-4000400000000000000000000002000-20000000000000
χ654-404400-4-440000-400000000000004-4000000002-22-2000000000000000000000002-22-2000000
χ664-404400-4-440000-400000000000004-400000000-22-2200000000000000000000000-22-22000000
χ674-404400-4-440000-40000000000000-44000000002-2-22000000000000000000000002-2-22000000
χ684-404400-4-440000-40000000000000-4400000000-222-200000000000000000000000-222-2000000
χ6988-8-4-48-8-4-4200442-44-44-20000002-200000000000000000000000000000000000000000000000
χ7088-8-4-4-88-4-42004424-44-4-2000000-2200000000000000000000000000000000000000000000000
χ718-808-400-84-40000400000000000000000000000004-40000000000000000000000000-22000000
χ728-808-400-84-4000040000000000000000000000000-4400000000000000000000000002-2000000
χ738-80-48004-8-400004000000000000000000000004-40000000000000000000000000-2200000000
χ748-80-48004-8-40000400000000000000000000000-4400000000000000000000000002-200000000
χ7516-160-8-8008840000-4000000000000000000000000000000000000000000000000000000000000

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