Finite Group Databasebeta

← Group #11868098

Character table — Group #11868098

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size1122222224444444444444444888888888812121212121212121616161616161616181818182424242424242424242424243636484848487272
order122334466366666881212121224242424241212242424242424224488886666121212122244668888121224242424882424242422
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-11-111-1-111111111-1-1-1-11-111-1-11-111-1-1-1-111-1-1-1-1
χ311111111111111111111111111111111111-11-11-1-11111111111-1-1-1-1-11-1-111-11-1-111-1-1-1-111-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ51111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1
χ61111111111111111111111111-1-1111111111-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111-111-1-1-1-1-1-11111
χ71111111111111111111111111-1-111111111-11-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-11-1-111-1-111-1-111
χ81111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1111111-1-1
χ9111111111111111-1-11111-1-1-1-11-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111-11-111-1-1-1-1-1-11-11-11-1
χ10111111111111111-1-11111-1-1-1-11-111-1-1-1-1-1-11-11-1-1-1111111-1-1-1-1-1-1-1-11-11-1-111-1-1-111111-1-11-11
χ11111111111111111-1-11111-1-1-1-11-111-1-1-1-1-1-1-11-1111-1-11111-1-1-1-1-1-1-1-1-11-111-1-1111-1-111-111-1-11
χ12111111111111111-1-11111-1-1-1-11-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-11-11-1-11111-1-1-11-111-1
χ13111111111111111-1-11111-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-11-1111-1-1-1-1-1-1-11-11-11
χ14111111111111111-1-11111-1-1-1-1-1111-1-1-1-1-1-11-11-1-1-111-1-1-1-11111-1-1-1-11-1-111-11-1-1-11111-111-11-1
χ15111111111111111-1-11111-1-1-1-1-1111-1-1-1-1-1-1-11-1111-1-1-1-1-1-11111-1-1-1-1-111-1-11-1111-1-1111-1-111-1
χ16111111111111111-1-11111-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11-11-1-1-11111-1-11-11-1-11
χ1722222-2-22222222200-2-2-2-2000000-2-200000000002i−2i2i−2i0000000022-2-2000000002i−2i2i−2i00000000
χ1822222-2-22222222200-2-2-2-2000000-2-200000000002i−2i−2i2i00000000-2-222000000002i−2i−2i2i00000000
χ1922222-2-22222222200-2-2-2-2000000-2-20000000000−2i2i2i−2i00000000-2-22200000000−2i2i2i−2i00000000
χ2022222-2-22222222200-2-2-2-2000000-2-20000000000−2i2i−2i2i0000000022-2-200000000−2i2i−2i2i00000000
χ212222-1222-1-12-1-1-1-1222-12-122-1-122-1-12-1-1-1-1-1020200222-1-1-12-1-1-100000-100220-100-1-10000-1-100
χ222222-1222-1-12-1-1-1-1222-12-122-1-122-1-12-1-1-1-1-10-20-200-2-22-1-1-12-1-1-100000100-2-201001100001100
χ232222-1222-1-12-1-1-1-1222-12-122-1-1-2-2-1-12-1-1-1-1-102020022-2111-211100000-100-2-20-100-1-100001100
χ242222-1222-1-12-1-1-1-1222-12-122-1-1-2-2-1-12-1-1-1-1-10-20-200-2-2-2111-211100000100220100110000-1-100
χ252222-1222-1-12-1-1-1-1-2-22-12-1-2-2112-2-1-1-211111020200-2-22-1-1-1-211100000-1002-20-100110000-1100
χ262222-1222-1-12-1-1-1-1-2-22-12-1-2-2112-2-1-1-2111110-20-200222-1-1-1-211100000100-220100-1-100001-100
χ272222-1222-1-12-1-1-1-1-2-22-12-1-2-211-22-1-1-211111020200-2-2-21112-1-1-100000-100-220-1001100001-100
χ282222-1222-1-12-1-1-1-1-2-22-12-1-2-211-22-1-1-2111110-20-20022-21112-1-1-1000001002-20100-1-10000-1100
χ29222-1222-12-1-12-1-1-122-12-12-1-12222-1-1-12-1-1-1-120202200-12-1-1-12-1-10000-102200-10-1-10000-1-10000
χ30222-1222-12-1-12-1-1-122-12-12-1-12222-1-1-12-1-1-1-1-20-20-2-200-12-1-1-12-1-1000010-2-20010110000110000
χ31222-1222-12-1-12-1-1-122-12-12-1-122-2-2-1-1-12-1-1-1-1202022001-2111-2110000-10-2-200-10-1-10000110000
χ32222-1222-12-1-12-1-1-122-12-12-1-122-2-2-1-1-12-1-1-1-1-20-20-2-2001-2111-211000010220010110000-1-10000
χ33222-1222-12-1-12-1-1-1-2-2-12-1211-2-22-2-1-11-211112020-2-200-12-1-11-2110000-102-200-10110000-110000
χ34222-1222-12-1-12-1-1-1-2-2-12-1211-2-22-2-1-11-21111-20-202200-12-1-11-211000010-220010-1-100001-10000
χ35222-1222-12-1-12-1-1-1-2-2-12-1211-2-2-22-1-11-211112020-2-2001-211-12-1-10000-10-2200-101100001-10000
χ36222-1222-12-1-12-1-1-1-2-2-12-1211-2-2-22-1-11-21111-20-2022001-211-12-1-10000102-20010-1-10000-110000
χ3722-2222-2222-2-2-2-2200-2-2220000002-200000022-2-20000000000002-22-2220000-2-2000000000000
χ3822-2222-2222-2-2-2-2200-2-2220000002-20000002-2-22000000000000-22-222-20000-22000000000000
χ3922-2222-2222-2-2-2-2200-2-2220000002-2000000-222-2000000000000-22-22-2200002-2000000000000
χ4022-2222-2222-2-2-2-2200-2-2220000002-2000000-2-2220000000000002-22-2-2-2000022000000000000
χ4122-222-22222-2-2-2-222-222-2-222-2-200-22-2222-2-200000000000000002-2-220000000000002-2000000
χ4222-222-22222-2-2-2-222-222-2-222-2-200-22-2222-2-20000000000000000-222-2000000000000-22000000
χ4322-222-22222-2-2-2-22-2222-2-2-2-22200-222-2-2-22200000000000000002-2-22000000000000-22000000
χ4422-222-22222-2-2-2-22-2222-2-2-2-22200-222-2-2-2220000000000000000-222-20000000000002-2000000
χ454444-2-4-44-2-24-2-2-2-200-42-42000000220000000000004i−4i0000000000000000000000−2i2i00000000
χ464444-2-4-44-2-24-2-2-2-200-42-4200000022000000000000−4i4i00000000000000000000002i−2i00000000
χ47444-24-4-4-24-2-24-2-2-2002-42-40000002200000000004i−4i0000000000000000000000−2i2i0000000000
χ48444-24-4-4-24-2-24-2-2-2002-42-4000000220000000000−4i4i00000000000000000000002i−2i0000000000
χ49444-2-244-2-21-2-211144-2-2-2-2-2-2-2-24411-2-2111100000000-2-211-2-211000000000000000000000000
χ50444-2-244-2-21-2-211144-2-2-2-2-2-2-2-2-4-411-2-211110000000022-1-122-1-1000000000000000000000000
χ51444-2-244-2-21-2-2111-4-4-2-2-2-222224-41122-1-1-1-100000000-2-21122-1-1000000000000000000000000
χ52444-2-244-2-21-2-2111-4-4-2-2-2-22222-441122-1-1-1-10000000022-1-1-2-211000000000000000000000000
χ5344-44-24-44-2-2-4222-200-424-2000000-22000000040-400000000000000000-2000002000000000000
χ5444-44-24-44-2-2-4222-200-424-2000000-220000000-40400000000000000000200000-2000000000000
χ5544-44-2-444-2-2-4222-24-44-2-424422002-2-4-2-2-2220000000000000000000000000000000000000000
χ5644-44-2-444-2-2-4222-2-444-2-42-4-4-2-2002-24222-2-20000000000000000000000000000000000000000
χ5744-4-244-4-24-22-422-2002-4-24000000-2200000040-400000000000000000-20000020000000000000
χ5844-4-244-4-24-22-422-2002-4-24000000-22000000-40400000000000000000200000-20000000000000
χ5944-4-24-44-24-22-422-24-4-242-4-2-2-4-4002-224-2-2220000000000000000000000000000000000000000
χ6044-4-24-44-24-22-422-2-44-242-42244002-2-2-422-2-20000000000000000000000000000000000000000
χ6144-4-2-2-44-2-2122-1-114-4-2-222-2-22200-112-211-1-100000000003-3003-3000000000000000000000000
χ6244-4-2-2-44-2-2122-1-114-4-2-222-2-22200-112-211-1-10000000000-3300-33000000000000000000000000
χ6344-4-2-2-44-2-2122-1-11-44-2-22222-2-200-11-22-1-11100000000003-300-33000000000000000000000000
χ6444-4-2-2-44-2-2122-1-11-44-2-22222-2-200-11-22-1-1110000000000-33003-3000000000000000000000000
χ65888-4-4-8-8-4-42-4-4222004444000000-2-20000000000000000000000000000000000000000000000
χ6688-8-4-48-8-4-4244-2-220044-4-40000002-20000000000000000000000000000000000000000000000
χ678-808800-8-880000-8000000000000000000000000000000000000000000000000000000000000
χ688-808-400-84-4000040000000026−260000000026−260000000000000000000000000000000000000000
χ698-808-400-84-40000400000000−262600000000−26260000000000000000000000000000000000000000
χ708-80-48004-8-40000400000026−260000000026−26000000000000000000000000000000000000000000
χ718-80-48004-8-400004000000−262600000000−2626000000000000000000000000000000000000000000
χ728-80-4-400442006-6-200000026−2626−26000000−66−660000000000000000000000000000000000000000
χ738-80-4-400442006-6-2000000−2626−26260000006−66−60000000000000000000000000000000000000000
χ748-80-4-40044200-66-200000026−26−2626000000−666−60000000000000000000000000000000000000000
χ758-80-4-40044200-66-2000000−262626−260000006−6−660000000000000000000000000000000000000000

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