Finite Group Databasebeta

← Group #11868027

Character table — Group #11868027

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size11222222244444444446666888888888991212121212121212121216161616161616161616181818242424242424242424243636484848487272
order12233446623466612121212888826668121212124488888824242424666661224242424224248824242424242424612242448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1111-11111111111111111-1-11-1-11-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1
χ3111111111111111111111-1-1111111111-1-1111-1-1-111-1-11111111111-1-1-11-11-1111-1-1-1-1-11-11-1-1-1
χ4111111111111111111111-1-1-1111-11111-1-1111-1-1-111-1-1-1-11-1-11-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-11-1111
χ51111111111111111111-1-111111111111-1-1-1-1-1111-1-1111111111111-1-1-1-11-11-1-1-1111-1-1-11-11-1-1
χ61111111111111111111-1-111-1111-11111-1-1-1-1-1111-1-111-1-11-1-11-1-1-1-1-1-1-11-11-1-1-1-1111-1-11-11-111
χ71111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ81111111111111111111-1-1-1-1-1111-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-11111111-1-1-1-1-1-1111111-1-1
χ9111111111-11-1111111111111-1-11-1-1-111111-1-11-1-1111111-111-1-1-1-1-111111-1-11-1-11-1-1-1-111-1-11-1
χ10111111111-11-111111111111-1-1-111-1-111111-1-11-1-11111-1-1-1-1-1-11111111-1-1111-1-11-1-1-1-1-1-111-11
χ11111111111-11-1111111111-1-11-1-11-1-1-111-1-11-1-1-11111-1-111-111-1-1-1-1-1-1-1-11-1-111-1-1-111111-1-11-11
χ12111111111-11-1111111111-1-1-1-1-111-1-111-1-11-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-11-1-1-11111-111-11-1
χ13111111111-11-11111111-1-1111-1-11-1-1-111-1-1-1111-1-1-1-11111-111-1-1-1-1-1-1-1-1-111-1-1111-1-111-111-1-11
χ14111111111-11-11111111-1-111-1-1-111-1-111-1-1-1111-1-1-1-111-1-1-1-1-1-11111-1-1-11-1-11-1111-1-1111-1-111-1
χ15111111111-11-11111111-1-1-1-11-1-11-1-1-11111-111-111-1-1-1-111-111-1-1-1-1-1111-1-111-111-111-1-1-1-1111-1
χ16111111111-11-11111111-1-1-1-1-1-1-111-1-11111-111-111-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-111-1-111-1-1-11
χ1722222-2-222020222-2-2-2-200000002000-2-22202i−2i02i−2i00000000000000-2-22000002i−2i02i−2i00000000
χ1822222-2-222020222-2-2-2-200000002000-2-2220−2i2i0−2i2i00000000000000-2-2200000−2i2i0−2i2i00000000
χ1922222-2-222020222-2-2-2-200000002000-2-2-2-202i−2i0−2i2i0000000000000022-2000002i−2i0−2i2i00000000
χ2022222-2-222020222-2-2-2-200000002000-2-2-2-20−2i2i02i−2i0000000000000022-200000−2i2i02i−2i00000000
χ212222-122-122-122-1-1-12-12220022-1-12-12-1-100222000-1-1002-1-1-1-1-12-1-1-10002020-1-1-100000-10-1000
χ222222-122-122-122-1-1-12-122200-22-1-1-2-12-1-100222000-1-100-21-111-1-2111000-20-20-1-1-100000101000
χ232222-122-122-122-1-1-12-12-2-20022-1-12-12-1-100-2-2-200011002-1-1-1-1-12-1-1-1000-20-2011100000101000
χ242222-122-122-122-1-1-12-12-2-200-22-1-1-2-12-1-100-2-2-20001100-21-111-1-2111000202011100000-10-1000
χ252222-122-12-2-1-22-1-1-12-1222002-21-1-21-2-1-1002-2-2000-1-1002-11-1-11-211100020-20-11100000-101000
χ262222-122-12-2-1-22-1-1-12-122200-2-21-121-2-1-1002-2-2000-1-100-2111112-1-1-1000-2020-1110000010-1000
χ272222-122-12-2-1-22-1-1-12-12-2-2002-21-1-21-2-1-100-22200011002-11-1-11-2111000-20201-1-10000010-1000
χ282222-122-12-2-1-22-1-1-12-12-2-200-2-21-121-2-1-100-2220001100-2111112-1-1-100020-201-1-100000-101000
χ29222-12222-12-12-12-12-12-100222-12-122-1-1-10000022200-1-1-12-1-1-1-1-12-1-10000202000-1-1-1000-10-100
χ30222-12222-12-12-12-12-12-10022-2-12-1-22-1-1-10000022200-1-11-2-111-11-2110000-20-2000-1-1-100010100
χ31222-12222-12-12-12-12-12-100-2-22-12-122-1-1-100000-2-2-20011-12-1-1-1-1-12-1-10000-20-200011100010100
χ32222-12222-12-12-12-12-12-100-2-2-2-12-1-22-1-1-100000-2-2-200111-2-111-11-2110000202000111000-10-100
χ33222-12222-1-2-1-2-12-12-12-1002221-2-1-2-21-1-1000002-2-200-1-1-121-1-111-211000020-2000-111000-10100
χ34222-12222-1-2-1-2-12-12-12-10022-21-2-12-21-1-1000002-2-200-1-11-21111-12-1-10000-202000-11100010-100
χ35222-12222-1-2-1-2-12-12-12-100-2-221-2-1-2-21-1-100000-2220011-121-1-111-2110000-2020001-1-100010-100
χ36222-12222-1-2-1-2-12-12-12-100-2-2-21-2-12-21-1-100000-22200111-21111-12-1-1000020-20001-1-1000-10100
χ3722-2222-222020-2-22-2-2222222000-20002-222-200-200222200000000002-2-20000-200-20000000000
χ3822-2222-222020-2-22-2-22222-2-2000-20002-2-2-2-20020022-2-20000000000-2220000-20020000000000
χ3922-2222-222020-2-22-2-222-2-222000-20002-2-2-2200-200-2-2220000000000-2220000200-20000000000
χ4022-2222-222020-2-22-2-222-2-2-2-2000-20002-222200200-2-2-2-200000000002-2-2000020020000000000
χ4122-222-222222-2-2-2222-2-20000022-20-2-2-2222000000000000200-20000-22-20000000000-22000000
χ4222-222-222222-2-2-2222-2-20000022-20-2-2-22-2-2000000000000200-200002-2200000000002-2000000
χ4322-222-2222-222-2-2222-2-200000-2-2-2022-2222000000000000-20020000-22-200000000002-2000000
χ4422-222-2222-222-2-2222-2-200000-2-2-2022-22-2-2000000000000-200200002-220000000000-22000000
χ454444-2-4-4-240-204-2-22-42-40000000-2000220004i−4i0000000000000000000000000−2i2i00000000000
χ464444-2-4-4-240-204-2-22-42-40000000-200022000−4i4i00000000000000000000000002i−2i00000000000
χ47444-24-4-44-20-20-24-2-42-420000000-2000220000004i−4i0000000000000000000000000−2i2i00000000
χ48444-24-4-44-20-20-24-2-42-420000000-200022000000−4i4i00000000000000000000000002i−2i00000000
χ49444-2-244-2-2414-2-21-2-2-2-200004-2-214-2-211000000000000-2-21111-2-211000000000000000000000
χ50444-2-244-2-2414-2-21-2-2-2-20000-4-2-21-4-2-211000000000000221-1-1122-1-1000000000000000000000
χ51444-2-244-2-2-41-4-2-21-2-2-2-200004221-42211000000000000-2-2-111-122-1-1000000000000000000000
χ52444-2-244-2-2-41-4-2-21-2-2-2-20000-42214221100000000000022-1-1-1-1-2-211000000000000000000000
χ5344-44-24-4-240-20-42-22-4-2444000002000-2200-400000-2-2000000000000000000020000000000000
χ5444-44-24-4-240-20-42-22-4-24-4-4000002000-2200400000220000000000000000000-20000000000000
χ5544-44-2-44-244-2-4-42-2-242-4000004-2202-42-200000000000000-20020000000000000000000000000
χ5644-44-2-44-24-4-24-42-2-242-400000-4220-242-200000000000000200-20000000000000000000000000
χ5744-4-244-44-20-202-4-2-424-200440002000-2200000-40000-2-20000000000000000000020000000000
χ5844-4-244-44-20-202-4-2-424-200-4-40002000-2200000400002200000000000000000000-20000000000
χ5944-4-24-444-24-2-42-4-24-2-4200000-2420-422-200000000000000-20020000000000000000000000000
χ6044-4-24-444-2-4-242-4-24-2-42000002-4204-22-200000000000000200-20000000000000000000000000
χ6144-4-2-2-44-2-241-4221-2-22200000-2-2-1022-110000000000000013-3-1003-3000000000000000000000
χ6244-4-2-2-44-2-241-4221-2-22200000-2-2-1022-11000000000000001-33-100-33000000000000000000000
χ6344-4-2-2-44-2-2-414221-2-2220000022-10-2-2-1100000000000000-13-3100-33000000000000000000000
χ6444-4-2-2-44-2-2-414221-2-2220000022-10-2-2-1100000000000000-1-331003-3000000000000000000000
χ654-404400-4-404000-4000022−222i2−2i20000000004i−4i00000022−222i2−2i20000000000000000000000000000000
χ664-404400-4-404000-4000022−22−2i22i2000000000−4i4i00000022−22−2i22i20000000000000000000000000000000
χ674-404400-4-404000-40000−22222i2−2i2000000000−4i4i000000−22222i2−2i20000000000000000000000000000000
χ684-404400-4-404000-40000−2222−2i22i20000000004i−4i000000−2222−2i22i20000000000000000000000000000000
χ69888-4-4-8-8-4-4020-4-42444400000002000-2-20000000000000000000000000000000000000000000
χ7088-8-4-48-8-4-402044244-4-40000000-20002-20000000000000000000000000000000000000000000
χ718-808-4004-80-40004000042−420000000000000000000−2222000000000000000000000000000000000
χ728-808-4004-80-400040000−4242000000000000000000022−22000000000000000000000000000000000
χ738-80-4800-840-400040000004i2−4i20000000000000000000−2i22i20000000000000000000000000000000
χ748-80-4800-840-40004000000−4i24i200000000000000000002i2−2i20000000000000000000000000000000
χ7516-160-8-8008804000-4000000000000000000000000000000000000000000000000000000000000

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