Finite Group Databasebeta

← Group #11867923

Character table — Group #11867923

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1122222222244444444444444488888888889912121212121212121616161616161616181818181824242424242424242424242436484848487272
order12233446688366666812121212242424242212122424242424242222448888666666662448866888812122424242482424242422
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111
χ3111111111111111111111111111111111111-1-11-11-111-1-111111111-1-1-1-1-11-111-1-11-111-1-1-111-1-1-1-1
χ4111111111111111111111111111111111111-1-1-11-11-1-11111111111-1-1-1-1-1-11-1-111-11-1-111-1-1-111-1-1
χ511111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-11111111-1-1-1-1-1-1
χ611111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1-1-111111-1-1
χ711111111111111111111111111-1-111111111-1-11-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111-111-1-1-1-1-11111
χ811111111111111111111111111-1-111111111-1-1-11-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-11-1-111-111-1-111
χ9111111111-1-1111111-11111-1-1-1-11-111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1111-1-1111-11-111-1-1-1-1-11-11-11-1
χ10111111111-1-1111111-11111-1-1-1-11-111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1111-1-1-1-1-11-11-1-11111-1-11-111-1
χ11111111111-1-1111111-11111-1-1-1-11-111-1-1-1-1-1-1-1-11-11-1-1-11111-1-111-1-1-1-1-1111-11-1-111-1-1-11111-1-11-11
χ12111111111-1-1111111-11111-1-1-1-11-111-1-1-1-1-1-1-1-1-11-1111-1-111-1-111-1-1-1-1-111-11-111-1-1111-1-11-111-1-11
χ13111111111-1-1111111-11111-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111111-1-111-11-1111-1-1-1-1-1-11-11-11
χ14111111111-1-1111111-11111-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-11111-1-111-1-111111-1-1-1-11-11-1-1-11111-11-11-1-11
χ15111111111-1-1111111-11111-1-1-1-1-1111-1-1-1-1-1-1-1-11-11-1-1-111-1-111-1-111-1-1-1111-1-111-11-1-1-1111-111-11-1
χ16111111111-1-1111111-11111-1-1-1-1-1111-1-1-1-1-1-1-1-1-11-1111-1-1-1-111-1-111-1-1-111-111-1-11-1111-1-111-1-111-1
χ1722222-2-222002222220-2-2-2-2000000-2-20000002200002i−2i2i−2i000000002-2-200000000002i−2i2i−2i0000000
χ1822222-2-222002222220-2-2-2-2000000-2-2000000220000−2i2i−2i2i000000002-2-20000000000−2i2i−2i2i0000000
χ1922222-2-222002222220-2-2-2-2000000-2-2000000-2-200002i−2i−2i2i00000000-22200000000002i−2i−2i2i0000000
χ2022222-2-222002222220-2-2-2-2000000-2-2000000-2-20000−2i2i2i−2i00000000-2220000000000−2i2i2i−2i0000000
χ212222-1222-122-12-1-1-1-122-12-122-1-122-1-12-1-1-1-1-100020200222-12-1-1-1-1-1000000-100220-100-1-1000-1-100
χ222222-1222-122-12-1-1-1-122-12-122-1-122-1-12-1-1-1-1-1000-20-200-2-22-12-1-1-1-1-1000000100-2-20100110001100
χ232222-1222-122-12-1-1-1-122-12-122-1-1-2-2-1-12-1-1-1-1-10002020022-21-211111000000-100-2-20-100-1-10001100
χ242222-1222-122-12-1-1-1-122-12-122-1-1-2-2-1-12-1-1-1-1-1000-20-200-2-2-21-21111100000010022010011000-1-100
χ252222-1222-1-2-2-12-1-1-1-1-22-12-1-2-2112-2-1-1-21111100020200-2-22-1-21-1-111000000-1002-20-10011000-1100
χ262222-1222-1-2-2-12-1-1-1-1-22-12-1-2-2112-2-1-1-211111000-20-200222-1-21-1-111000000100-220100-1-10001-100
χ272222-1222-1-2-2-12-1-1-1-1-22-12-1-2-211-22-1-1-21111100020200-2-2-212-111-1-1000000-100-220-100110001-100
χ282222-1222-1-2-2-12-1-1-1-1-22-12-1-2-211-22-1-1-211111000-20-20022-212-111-1-10000001002-20100-1-1000-1100
χ29222-1222-1222-1-12-1-1-12-12-12-1-12222-1-1-12-1-1-1-10020202200-12-12-1-1-1-100000-102200-10-1-1000-1-10000
χ30222-1222-1222-1-12-1-1-12-12-12-1-12222-1-1-12-1-1-1-100-20-20-2-200-12-12-1-1-1-10000010-2-2001011000110000
χ31222-1222-1222-1-12-1-1-12-12-12-1-122-2-2-1-1-12-1-1-1-100202022001-21-2111100000-10-2-200-10-1-1000110000
χ32222-1222-1222-1-12-1-1-12-12-12-1-122-2-2-1-1-12-1-1-1-100-20-20-2-2001-21-21111000001022001011000-1-10000
χ33222-1222-12-2-2-1-12-1-1-1-2-12-1211-2-22-2-1-11-21111002020-2-200-121-2-1-11100000-102-200-1011000-110000
χ34222-1222-12-2-2-1-12-1-1-1-2-12-1211-2-22-2-1-11-2111100-20-202200-121-2-1-1110000010-220010-1-10001-10000
χ35222-1222-12-2-2-1-12-1-1-1-2-12-1211-2-2-22-1-11-21111002020-2-2001-2-1211-1-100000-10-2200-10110001-10000
χ36222-1222-12-2-2-1-12-1-1-1-2-12-1211-2-2-22-1-11-2111100-20-2022001-2-1211-1-100000102-20010-1-1000-110000
χ3722-2222-222002-2-2-2-220-2-2220000002-20000002222-2-2000000000000-22-200220000-2-200000000000
χ3822-2222-222002-2-2-2-220-2-2220000002-200000022-2-222000000000000-22-200-2-200002200000000000
χ3922-2222-222002-2-2-2-220-2-2220000002-2000000-2-22-2-220000000000002-22002-20000-2200000000000
χ4022-2222-222002-2-2-2-220-2-2220000002-2000000-2-2-222-20000000000002-2200-2200002-200000000000
χ4122-222-2222222-2-2-2-22-222-2-2222200-22-2-222-2-2220000000000000000-2-2222000000000000-2000000
χ4222-222-2222222-2-2-2-22-222-2-2222200-22-2-222-2-2-2-2000000000000000022-2-2-20000000000002000000
χ4322-222-2222-2-22-2-2-2-22222-2-2-2-2-2-200-2222-2-222220000000000000000-2-22-2-20000000000002000000
χ4422-222-2222-2-22-2-2-2-22222-2-2-2-2-2-200-2222-2-222-2-2000000000000000022-222000000000000-2000000
χ454444-2-4-44-200-24-2-2-2-20-42-4200000022000000000000004i−4i00000000000000000000000−2i2i0000000
χ464444-2-4-44-200-24-2-2-2-20-42-420000002200000000000000−4i4i000000000000000000000002i−2i0000000
χ47444-24-4-4-2400-2-24-2-2-202-42-4000000220000000000004i−4i00000000000000000000000−2i2i000000000
χ48444-24-4-4-2400-2-24-2-2-202-42-400000022000000000000−4i4i000000000000000000000002i−2i000000000
χ49444-2-244-2-2441-2-21114-2-2-2-2-2-2-2-24411-2-211110000000000-2-2-2-21111000000000000000000000000
χ50444-2-244-2-2441-2-21114-2-2-2-2-2-2-2-2-4-411-2-2111100000000002222-1-1-1-1000000000000000000000000
χ51444-2-244-2-2-4-41-2-2111-4-2-2-2-222224-41122-1-1-1-10000000000-2-22211-1-1000000000000000000000000
χ52444-2-244-2-2-4-41-2-2111-4-2-2-2-22222-441122-1-1-1-1000000000022-2-2-1-111000000000000000000000000
χ5344-44-24-44-200-2-4222-20-424-2000000-2200000000040-4000000000000000000-200000200000000000
χ5444-44-24-44-200-2-4222-20-424-2000000-22000000000-404000000000000000000200000-200000000000
χ5544-44-2-444-244-2-4222-2-44-2-4244-2-2002-2-42-2-222000000000000000000000000000000000000000000
χ5644-44-2-444-2-4-4-2-4222-244-2-42-4-422002-24-222-2-2000000000000000000000000000000000000000000
χ5744-4-244-4-2400-22-422-202-4-24000000-220000000040-4000000000000000000-2000002000000000000
χ5844-4-244-4-2400-22-422-202-4-24000000-2200000000-404000000000000000000200000-2000000000000
χ5944-4-24-44-2444-22-422-2-4-242-4-2-244002-22-4-2-222000000000000000000000000000000000000000000
χ6044-4-24-44-24-4-4-22-422-24-242-422-4-4002-2-2422-2-2000000000000000000000000000000000000000000
χ6144-4-2-2-44-2-244122-1-11-4-2-222-2-2-2-200-112211-1-1000000000000003-33-3000000000000000000000000
χ6244-4-2-2-44-2-244122-1-11-4-2-222-2-2-2-200-112211-1-100000000000000-33-33000000000000000000000000
χ6344-4-2-2-44-2-2-4-4122-1-114-2-222222200-11-2-2-1-111000000000000003-3-33000000000000000000000000
χ6444-4-2-2-44-2-2-4-4122-1-114-2-222222200-11-2-2-1-11100000000000000-333-3000000000000000000000000
χ654-404400-4-422−2240000-40000022−2222−2200000022−22004-4000000000000000000022−220000000000000000000
χ664-404400-4-422−2240000-40000022−2222−2200000022−2200-440000000000000000000−22220000000000000000000
χ674-404400-4-4−222240000-400000−2222−2222000000−2222004-40000000000000000000−22220000000000000000000
χ684-404400-4-4−222240000-400000−2222−2222000000−222200-44000000000000000000022−220000000000000000000
χ69888-4-4-8-8-4-4002-4-422204444000000-2-2000000000000000000000000000000000000000000000000
χ7088-8-4-48-8-4-400244-2-22044-4-40000002-2000000000000000000000000000000000000000000000000
χ718-808-400-8442−42-4000040000042−42−2222000000−222200000000000000000000000000000000000000000000
χ728-808-400-84−4242-40000400000−424222−2200000022−2200000000000000000000000000000000000000000000
χ738-80-48004-842−42-40000400000−222242−42000000−222200000000000000000000000000000000000000000000
χ748-80-48004-8−4242-4000040000022−22−424200000022−2200000000000000000000000000000000000000000000
χ758-80-4-4004442−422006-6-200000−2222−22220000002−232−32000000000000000000000000000000000000000000
χ768-80-4-4004442−42200-66-200000−2222−22220000002−2−3232000000000000000000000000000000000000000000
χ778-80-4-40044−42422006-6-20000022−2222−22000000−22−3232000000000000000000000000000000000000000000
χ788-80-4-40044−4242200-66-20000022−2222−22000000−2232−32000000000000000000000000000000000000000000

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