Finite Group Databasebeta

← Group #11868113

Character table — Group #11868113

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11222222244444444448888888881212121212121212121212121616161616161616161618181818242424242424242424243636484848487272
order1223344662346661212121226668121212128888888824242424666661224242424224422882424242424242466242448
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-111-1-11111111111-1-1-1-11-11-1111-1-1-1-1-11-11-1-1-1
χ31111111111111111111111111111-1-1-1-11111-1-1111111111111-1-1-1-1-11-11-1-1-1111-1-1-11-11-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ51111111111111111111-1111-11111111111111111-1-11-1-11-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1
χ61111111111111111111-1111-111111111-1-1-1-111-1-1-1-11-1-11-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-11-1111
χ71111111111111111111-1111-11111-1-1-1-11111-1-111-1-11-1-11-1-1-1-1-1-1-1-11-11-1-1-1-1111-1-11-11-111
χ81111111111111111111-1111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-111111111-1-1-1-1-1-1111111-1-1
χ9111111111-11-111111111-1-11-1-1-11111-1-111-1-1111111-111-1-1-1-1-1111111-1-11-1-11-1-1-1-111-1-11-1
χ10111111111-11-111111111-1-11-1-1-11111-1-1-1-11111-1-111-111-1-1-1-1-1-1-1-1-11-1-111-1-1-111111-1-11-11
χ11111111111-11-111111111-1-11-1-1-111-1-11111-1-1-1-11111-111-1-1-1-1-1-1-1-1-1-111-1-1111-1-111-111-1-11
χ12111111111-11-111111111-1-11-1-1-111-1-111-1-111-1-1-1-111-111-1-1-1-1-11111-1-111-111-111-1-1-1-1111-1
χ13111111111-11-11111111-1-1-111-1-11111-1-111-1-11111-1-1-1-1-1-111111111-1-1111-1-11-1-1-1-1-1-111-11
χ14111111111-11-11111111-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-111-11-1-1-11111-111-11-1
χ15111111111-11-11111111-1-1-111-1-111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-1-11-1111-1-1111-1-111-1
χ16111111111-11-11111111-1-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-111-111-1-111-1-1-11
χ1722222-2-222020222-2-2-2-20002000-2-2002i−2i002i−2i0000000000000022-2-2000002i−2i02i−2i00000000
χ1822222-2-222020222-2-2-2-20002000-2-2002i−2i00−2i2i00000000000000-2-222000002i−2i0−2i2i00000000
χ1922222-2-222020222-2-2-2-20002000-2-200−2i2i002i−2i00000000000000-2-22200000−2i2i02i−2i00000000
χ2022222-2-222020222-2-2-2-20002000-2-200−2i2i00−2i2i0000000000000022-2-200000−2i2i0−2i2i00000000
χ212222-1222-12-122-1-12-12-122-1-122-1-1-10000222200-1-12-1-1-1-1-12-1-1-100000202000-1-1-1000-10-100
χ222222-1222-12-122-1-12-12-122-1-122-1-1-10000-2-2-2-200112-1-1-1-1-12-1-1-100000-20-200011100010100
χ232222-1222-12-122-1-12-12-1-22-1-1-22-1-1-10000222200-1-1-21-111-1-211100000-20-2000-1-1-100010100
χ242222-1222-12-122-1-12-12-1-22-1-1-22-1-1-10000-2-2-2-20011-21-111-1-211100000202000111000-10-100
χ252222-1222-1-2-1-22-1-12-12-12-21-1-2-21-1-1000022-2-200-1-12-11-1-11-21110000020-2000-111000-10100
χ262222-1222-1-2-1-22-1-12-12-12-21-1-2-21-1-10000-2-22200112-11-1-11-211100000-2020001-1-100010-100
χ272222-1222-1-2-1-22-1-12-12-1-2-21-12-21-1-1000022-2-200-1-1-2111112-1-1-100000-202000-11100010-100
χ282222-1222-1-2-1-22-1-12-12-1-2-21-12-21-1-10000-2-2220011-2111112-1-1-10000020-20001-1-1000-10100
χ29222-1222-122-12-12-1-12-122-12-12-12-1-122220000-1-100-12-1-1-1-1-12-1-100002020-1-1-100000-10-1000
χ30222-1222-122-12-12-1-12-122-12-12-12-1-1-2-2-2-200001100-12-1-1-1-1-12-1-10000-20-2011100000101000
χ31222-1222-122-12-12-1-12-12-2-12-1-2-12-1-122220000-1-1001-2-111-11-2110000-20-20-1-1-100000101000
χ32222-1222-122-12-12-1-12-12-2-12-1-2-12-1-1-2-2-2-2000011001-2-111-11-2110000202011100000-10-1000
χ33222-1222-12-2-1-2-12-1-12-1221-2-1-21-2-1-122-2-20000-1-100-121-1-111-211000020-20-11100000-101000
χ34222-1222-12-2-1-2-12-1-12-1221-2-1-21-2-1-1-2-22200001100-121-1-111-2110000-20201-1-10000010-1000
χ35222-1222-12-2-1-2-12-1-12-12-21-2-121-2-1-122-2-20000-1-1001-21111-12-1-10000-2020-1110000010-1000
χ36222-1222-12-2-1-2-12-1-12-12-21-2-121-2-1-1-2-222000011001-21111-12-1-1000020-201-1-100000-101000
χ3722-2222-222020-2-22-2-222000-20002-22-2002-200222200000000002-22-20000-200-20000000000
χ3822-2222-222020-2-22-2-222000-20002-22-200-220022-2-20000000000-22-220000-20020000000000
χ3922-2222-222020-2-22-2-222000-20002-2-22002-200-2-2220000000000-22-220000200-20000000000
χ4022-2222-222020-2-22-2-222000-20002-2-2200-2200-2-2-2-200000000002-22-2000020020000000000
χ4122-222-222222-2-2-2222-2-2022-20-2-2-2200000000000000200-200002-2-2200000000002-2000000
χ4222-222-222222-2-2-2222-2-2022-20-2-2-2200000000000000200-20000-222-20000000000-22000000
χ4322-222-2222-222-2-2222-2-20-2-2-2022-2200000000000000-200200002-2-220000000000-22000000
χ4422-222-2222-222-2-2222-2-20-2-2-2022-2200000000000000-20020000-222-200000000002-2000000
χ454444-2-4-44-20-204-2-2-42-42000-2000220000004i−4i00000000000000000000000000−2i2i00000000
χ464444-2-4-44-20-204-2-2-42-42000-200022000000−4i4i000000000000000000000000002i−2i00000000
χ47444-24-4-4-240-20-24-22-42-4000-200022004i−4i000000000000000000000000000−2i2i00000000000
χ48444-24-4-4-240-20-24-22-42-4000-20002200−4i4i0000000000000000000000000002i−2i00000000000
χ49444-2-244-2-2414-2-21-2-2-2-24-2-214-2-211000000000000-2-21111-2-2110000000000000000000000
χ50444-2-244-2-2414-2-21-2-2-2-2-4-2-21-4-2-211000000000000221-1-1122-1-10000000000000000000000
χ51444-2-244-2-2-41-4-2-21-2-2-2-24221-42211000000000000-2-2-111-122-1-10000000000000000000000
χ52444-2-244-2-2-41-4-2-21-2-2-2-2-42214221100000000000022-1-1-1-1-2-2110000000000000000000000
χ5344-44-24-44-20-20-42-2-424-20002000-2200004-40000-2-200000000000000000000020000000000
χ5444-44-24-44-20-20-42-2-424-20002000-220000-44000022000000000000000000000-20000000000
χ5544-44-2-444-24-2-4-42-24-2-4204-220-422-200000000000000-200200000000000000000000000000
χ5644-44-2-444-2-4-24-42-24-2-420-42204-22-200000000000000200-200000000000000000000000000
χ5744-4-244-4-240-202-4-22-4-240002000-224-4000000-2-20000000000000000000020000000000000
χ5844-4-244-4-240-202-4-22-4-240002000-22-440000002200000000000000000000-20000000000000
χ5944-4-24-44-244-2-42-4-2-242-40-24202-42-200000000000000-200200000000000000000000000000
χ6044-4-24-44-24-4-242-4-2-242-402-420-242-200000000000000200-200000000000000000000000000
χ6144-4-2-2-44-2-241-4221-2-2220-2-2-1022-110000000000000013-3-1003-30000000000000000000000
χ6244-4-2-2-44-2-241-4221-2-2220-2-2-1022-11000000000000001-33-100-330000000000000000000000
χ6344-4-2-2-44-2-2-414221-2-222022-10-2-2-1100000000000000-13-3100-330000000000000000000000
χ6444-4-2-2-44-2-2-414221-2-222022-10-2-2-1100000000000000-1-331003-30000000000000000000000
χ65888-4-4-8-8-4-4020-4-4244440002000-2-200000000000000000000000000000000000000000000
χ6688-8-4-48-8-4-402044244-4-4000-20002-200000000000000000000000000000000000000000000
χ678-808800-8-808000-8000000000000000000000000000000000000000000000000000000000
χ688-808-400-840-40004000000000000000000000002i6−2i600000000000000000000000000000000
χ698-808-400-840-4000400000000000000000000000−2i62i600000000000000000000000000000000
χ708-80-48004-80-400040000000000000000000002i6−2i60000000000000000000000000000000000
χ718-80-48004-80-40004000000000000000000000−2i62i60000000000000000000000000000000000
χ7216-160-8-8008804000-4000000000000000000000000000000000000000000000000000000000

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