Finite Group Databasebeta

← Group #11865105

Character table — Group #11865105

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11222222244444444448888888881212121212121212161616161616161616161818181824242424242424242424242424242424363648487272
order12233446634466612121212688121212121212222244441212242424242424242422442444666612121212121212124461288
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-111-1-11111111111-1-1-1-11-11-1-1-11111-1-111-1-1-1-11-1-1-1
χ31111111111111111111111111111-1-111-1-1111111111111-1-1-1-1-11-1111-1-1-1-111-1-111-1-1-11-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ511111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1
χ611111111111111111111-1-111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-1-111-1-1-1111
χ711111111111111111111-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-11111-1-1-1-11-111
χ811111111111111111111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1
χ91111111111-1-1111111111-1-1-1-1-1111-11-11-11-1-1-111-1-111-1-1111111-1-11-11-11-11-1-1-1-1-1-1-1111-1
χ101111111111-1-1111111111-1-1-1-1-1111-1-111-1-11-1-111-1-111-1-1-1-1-1-11-1-11-111-11-1-11-1-111111-1-11
χ111111111111-1-1111111111-1-1-1-1-111-111-1-111-1-1-111-1-111-1-1-1-1-1-1-111-11-1-11-111-111-1-111-11-11
χ121111111111-1-1111111111-1-1-1-1-111-11-11-11-11-1-111-1-111-1-11111-1-111-11-11-11-111111-1-1-1-11-1
χ131111111111-1-111111111-11-1-1-1-1111-11-11-11-1-1-1-1-111-1-1111111-1-1111-11-11-11-11111-1-1-1-1-11
χ141111111111-1-111111111-11-1-1-1-1111-1-111-1-11-1-1-1-111-1-111-1-1-1-1-111-1-111-11-1-1111-1-111-111-1
χ151111111111-1-111111111-11-1-1-1-111-111-1-111-1-1-1-1-111-1-111-1-1-1-11-1-111-1-11-111-1-1-111111-11-1
χ161111111111-1-111111111-11-1-1-1-111-11-11-11-11-1-1-1-111-1-111111111-1-1-11-11-11-11-1-1-1-1-1-111-11
χ1722222-2-22222-2222-2-2-2-22002-22-2-2-2000000002-20000000022-2-200000000000000002-20000
χ1822222-2-22222-2222-2-2-2-22002-22-2-2-2000000002-200000000-2-2220000000000000000-220000
χ1922222-2-2222-22222-2-2-2-2200-22-22-2-200000000-220000000022-2-20000000000000000-220000
χ2022222-2-2222-22222-2-2-2-2200-22-22-2-200000000-2200000000-2-22200000000000000002-20000
χ212222-122-12-1222-1-1-1-122-122-1-122-1-122002200-1-12-12-1-1-1-1-10000202000-1-1-1-100-1-10000-1000
χ222222-122-12-1222-1-1-1-122-122-1-122-1-1-2-200-2-200-1-12-12-1-1-1-1-10000-20-20001111001100001000
χ232222-122-12-1222-1-1-1-122-1-2-2-1-122-1-122002200-1-1-21-2111110000-20-2000-1-1-1-1001100001000
χ242222-122-12-1222-1-1-1-122-1-2-2-1-122-1-1-2-200-2-200-1-1-21-2111110000202000111100-1-10000-1000
χ252222-122-12-1-2-22-1-1-1-122-12-211-2-2-1-12-2002-200112-1-21-1-111000020-2000-11-1100110000-1000
χ262222-122-12-1-2-22-1-1-1-122-12-211-2-2-1-1-2200-2200112-1-21-1-1110000-2020001-11-100-1-100001000
χ272222-122-12-1-2-22-1-1-1-122-1-2211-2-2-1-12-2002-20011-212-111-1-10000-202000-11-1100-1-100001000
χ282222-122-12-1-2-22-1-1-1-122-1-2211-2-2-1-1-2200-220011-212-111-1-1000020-20001-11-100110000-1000
χ29222-12222-1-122-12-122-1-1-12222-1-1-1-100220022-1-1-12-12-1-1-1-100000202-1-10000-1-100-1-1000-100
χ30222-12222-1-122-12-122-1-1-12222-1-1-1-100-2-200-2-2-1-1-12-12-1-1-1-100000-20-2110000110011000100
χ31222-12222-1-122-12-122-1-1-1-2-222-1-1-1-100220022-1-11-21-2111100000-20-2-1-10000-1-10011000100
χ32222-12222-1-122-12-122-1-1-1-2-222-1-1-1-100-2-200-2-2-1-11-21-21111000002021100001100-1-1000-100
χ33222-12222-1-1-2-2-12-122-1-1-12-2-2-211-1-1002-2002-211-121-2-1-1110000020-2-110000-110011000-100
χ34222-12222-1-1-2-2-12-122-1-1-12-2-2-211-1-100-2200-2211-121-2-1-11100000-2021-100001-100-1-1000100
χ35222-12222-1-1-2-2-12-122-1-1-1-22-2-211-1-1002-2002-2111-2-1211-1-100000-202-110000-1100-1-1000100
χ36222-12222-1-1-2-2-12-122-1-1-1-22-2-211-1-100-2200-22111-2-1211-1-10000020-21-100001-10011000-100
χ3722-2222-222200-2-222-22-2-20000002-22020-20-2000000000002-22-200002020-20-200000000000
χ3822-2222-222200-2-222-22-2-20000002-220-20-20200000000000-22-220000-2020-20200000000000
χ3922-2222-222200-2-222-22-2-20000002-2-202020-200000000000-22-22000020-2020-200000000000
χ4022-2222-222200-2-222-22-2-20000002-2-20-20202000000000002-22-20000-20-2020200000000000
χ4122-222-2222200-2-22-22-22-2000000-2202020-20-200000000002-2-22000002020-20-20000000000
χ4222-222-2222200-2-22-22-22-2000000-22020-20-2020000000000-222-200000-2020-2020000000000
χ4322-222-2222200-2-22-22-22-2000000-220-202020-20000000000-222-20000020-2020-20000000000
χ4422-222-2222200-2-22-22-22-2000000-220-20-2020200000000002-2-2200000-20-202020000000000
χ454444-2-4-4-24-24-44-2-222-4-4-200-224-42200000000-220000000000000000000000000000000000
χ464444-2-4-4-24-2-444-2-222-4-4-2002-2-4422000000002-20000000000000000000000000000000000
χ47444-24-4-44-2-24-4-24-2-4-422-2004-4-222200000000-220000000000000000000000000000000000
χ48444-24-4-44-2-2-44-24-2-4-422-200-442-222000000002-20000000000000000000000000000000000
χ49444-2-244-2-2144-2-21-2-2-2-2144-2-2-2-2110000000011-2-2-2-2111100000000000000000000000000
χ50444-2-244-2-2144-2-21-2-2-2-21-4-4-2-2-2-21100000000112222-1-1-1-100000000000000000000000000
χ51444-2-244-2-21-4-4-2-21-2-2-2-214-422221100000000-1-1-2-22211-1-100000000000000000000000000
χ52444-2-244-2-21-4-4-2-21-2-2-2-21-4422221100000000-1-122-2-2-1-11100000000000000000000000000
χ53444-2-2-4-4-2-214-4-2-212222100-22-22-1-1000000001-100003i−3i3i−3i00000000000000000000000000
χ54444-2-2-4-4-2-214-4-2-212222100-22-22-1-1000000001-10000−3i3i−3i3i00000000000000000000000000
χ55444-2-2-4-4-2-21-44-2-2122221002-22-2-1-100000000-1100003i−3i−3i3i00000000000000000000000000
χ56444-2-2-4-4-2-21-44-2-2122221002-22-2-1-100000000-110000−3i3i3i−3i00000000000000000000000000
χ5744-44-24-4-24-200-42-2-224-42000000-224000-400000000000000000000000-2020000000000000
χ5844-44-24-4-24-200-42-2-224-42000000-22-400040000000000000000000000020-20000000000000
χ5944-44-2-44-24-200-42-22-2-4420000002-204000-400000000000000000000000-202000000000000
χ6044-44-2-44-24-200-42-22-2-4420000002-20-400040000000000000000000000020-2000000000000
χ6144-4-244-44-2-2002-4-24-4-222000000-22004000-40000000000000000000-200000200000000000
χ6244-4-244-44-2-2002-4-24-4-222000000-2200-400040000000000000000000200000-200000000000
χ6344-4-24-444-2-2002-4-2-442-220000002-20004000-40000000000000000000-20000020000000000
χ6444-4-24-444-2-2002-4-2-442-220000002-2000-400040000000000000000000200000-20000000000
χ6588-8-4-48-8-4-4200442-44-44-20000002-200000000000000000000000000000000000000000000
χ6688-8-4-4-88-4-42004424-44-4-2000000-2200000000000000000000000000000000000000000000
χ678-808800-8-880000-8000000000000000000000000000000000000000000000000000000000
χ688-808-4004-8-4000040000000000000000000000000000000000000000000000023−2300000000
χ698-808-4004-8-40000400000000000000000000000000000000000000000000000−232300000000
χ708-80-4800-84-4000040000000000000000000000000000000000000000000000000−2i32i3000000
χ718-80-4800-84-40000400000000000000000000000000000000000000000000000002i3−2i3000000
χ7216-160-8-8008840000-4000000000000000000000000000000000000000000000000000000000

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