Finite Group Databasebeta

← Group #11899721

Character table — Group #11899721

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size112222222444444444466668888888888888121212121212121212121616161618181818181824242424242424242424323236484848487272
order1233466883612121616242424242244241224244848484848484848668812121616161666121224161616162244242448484848612866121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1111111111111111111111-1-1-1-1111111-1-1-1-1111111-1-11-1-1-1-1-1-1
χ311111111111111111111-11-111111111111111-11-1-1111-1-11111-1-1-1-1-1-1-1-1111-111-1-111-1-1-111-1-1
χ411111111111111111111-11-1-1-1111111111111-11-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-111-1-1-1-1-111-1-111
χ51111111111111111111-11-111111111111111-11-111-1-1-1111111-1-1-1-1-1-111-1-1-11-1-11111-111-1-1-1-1
χ61111111111111111111-11-11-1-111111111111-11-111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-111-1-1-1-1-11111
χ71111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-111
χ81111111111111111111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111-1-1
χ91111111111111-1-1111111111-1111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-11-11-111-1-1-1-11-111-11-11-1
χ101111111111111-1-111111111-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-11-1111-1-1-1-1-111-11-11-11
χ111111111111111-1-111111-11-11-1111-1-1-1-1-1-1-1-11-11-1-11-1-11111-1-1-1-11111-111-11-1-1-1111-1-1-111-1-11
χ121111111111111-1-111111-11-1-11111-1-1-1-1-1-1-1-11-11-1-11-1-111-1-111-1-111111-1-111-1-1-111-11-11-1-111-1
χ131111111111111-1-11111-11-111-1111-1-1-1-1-1-1-1-1-11-111-111-1-111-1-1-1-111111-1-11-1111-1-11-1-11-1-11-11
χ141111111111111-1-11111-11-11-11111-1-1-1-1-1-1-1-1-11-111-111-1-1-1-111-1-11111-111-1-1111-1-1-11-1-111-11-1
χ151111111111111-1-11111-1-1-1-11-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-11-11-1-111111-11-11-111-1
χ161111111111111-1-11111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11-11-1-1-11111-1111-11-1-11
χ172222222-2-2222200-2-2-2-22222002-2-20000000022-2-222000000002200000000-2-2000000-2000000
χ182222222-2-2222200-2-2-2-22-22-2002-2-2000000002-2-22-2200000000-2-200000000-220000002000000
χ192222222-2-2222200-2-2-2-2-22-22002-2-200000000-222-22-200000000-2-2000000002-20000002000000
χ202222222-2-2222200-2-2-2-2-2-2-2-2002-2-200000000-2-222-2-200000000220000000022000000-2000000
χ212222-2220022-2-22−2000022-2-200-20022−2−222−2−22200-2-22−22−20000-2222−2−20000002−22−2000000000
χ222222-2220022-2-22−200002-2-2200-20022−2−222−2−22-2002-22−2−2200002-2−2−2220000002−2−22000000000
χ232222-2220022-2-22−20000-222-200-20022−2−222−2−2-2200-22−222−200002-2−2−222000000−222−2000000000
χ242222-2220022-2-22−20000-2-22200-20022−2−222−2−2-2-20022−22−220000-2222−2−2000000−22−22000000000
χ252222-2220022-2-2−22000022-2-200-200−2−222−2−2222200-2-2−22−220000-22−2−222000000−22−22000000000
χ262222-2220022-2-2−2200002-2-2200-200−2−222−2−2222-2002-2−222−200002-222−2−2000000−222−2000000000
χ272222-2220022-2-2−220000-222-200-200−2−222−2−222-2200-222−2−2200002-222−2−20000002−2−22000000000
χ282222-2220022-2-2−220000-2-22200-200−2−222−2−222-2-200222−22−20000-22−2−2220000002−22−2000000000
χ29222-12-1222-1-1-122222-1-1020222-1-1-12-12-1-1-1-1-10-102-1000222-1-1200000022000-100-1-1-1-10-1-10000
χ30222-12-1222-1-1-122222-1-10202-2-2-1-1-12-12-1-1-1-1-10-102-100022-211-2000000-2-2000-100-1-1110110000
χ31222-12-1222-1-1-122222-1-10-20-222-1-1-12-12-1-1-1-1-1010-21000-2-22-1-12000000-2-200010011-1-10110000
χ32222-12-1222-1-1-122222-1-10-20-2-2-2-1-1-12-12-1-1-1-1-1010-21000-2-2-211-20000002200010011110-1-10000
χ33222-12-1222-1-1-12-2-222-1-102022-2-1-1-1-21-2111110-102-1000-2-22-11-20000002-2000-10011-110-110000
χ34222-12-1222-1-1-12-2-222-1-10202-22-1-1-1-21-2111110-102-1000-2-2-21-12000000-22000-100111-101-10000
χ35222-12-1222-1-1-12-2-222-1-10-20-22-2-1-1-1-21-211111010-21000222-11-2000000-22000100-1-1-1101-10000
χ36222-12-1222-1-1-12-2-222-1-10-20-2-22-1-1-1-21-211111010-2100022-21-120000002-2000100-1-11-10-110000
χ3722-1222-122-1-12-122-1-122202022-1-1-1-12-12-1-1-1-1-10200-12200-122-10000000022-10-1-100-1-1000-1-100
χ3822-1222-122-1-12-122-1-1222020-2-2-1-1-1-12-12-1-1-1-1-10200-122001-2-2100000000-2-2-10-1-100110001100
χ3922-1222-122-1-12-122-1-122-20-2022-1-1-1-12-12-1-1-1-110-2001-2-200-122-100000000-2-2101100-1-10001100
χ4022-1222-122-1-12-122-1-122-20-20-2-2-1-1-1-12-12-1-1-1-110-2001-2-2001-2-21000000002210110011000-1-100
χ4122-1222-122-1-12-1-2-2-1-12220202-2-1-1-11-21-21111-10200-1-2-200-12-21000000002-2-101100-11000-1100
χ4222-1222-122-1-12-1-2-2-1-1222020-22-1-1-11-21-21111-10200-1-2-2001-22-100000000-22-1011001-10001-100
χ4322-1222-122-1-12-1-2-2-1-122-20-202-2-1-1-11-21-2111110-20012200-12-2100000000-2210-1-100-110001-100
χ4422-1222-122-1-12-1-2-2-1-122-20-20-22-1-1-11-21-2111110-200122001-22-1000000002-210-1-1001-1000-1100
χ45444-24-24-4-4-2-2-2400-4-422040400-222000000000-20-4-20000000000000000000020000000000000
χ46444-24-24-4-4-2-2-2400-4-4220-40-400-222000000000204200000000000000000000-20000000000000
χ47444-2-4-2400-2-22-422−220000040-40020022−2−222−2−2220-200200022−22000000000000000000−22000000000
χ48444-2-4-2400-2-22-422−2200000-4040020022−2−222−2−2220200-2000−22220000000000000000002−2000000000
χ49444-2-4-2400-2-22-4−22220000040-400200−22222−222−2−20-2002000−22220000000000000000002−2000000000
χ50444-2-4-2400-2-22-4−222200000-40400200−22222−222−2−20200-200022−22000000000000000000−22000000000
χ5144-2444-2-4-4-2-24-20022-4-4404000-22200000000-20-400-2000000000000000000200000000000000
χ5244-2444-2-4-4-2-24-20022-4-4-40-4000-22200000000204002000000000000000000-200000000000000
χ5344-24-44-200-2-2-4222−22000040-4000200−2222−22−2−222-20000222−22000000000000000000−2200000000000
χ5444-24-44-200-2-2-4222−220000-404000200−2222−22−2−22220000-2−22220000000000000000002−200000000000
χ5544-24-44-200-2-2-42−2222000040-40002002−22−22222−2−2-200002−22220000000000000000002−200000000000
χ5644-24-44-200-2-2-42−22220000-4040002002−22−22222−2−220000-222−22000000000000000000−2200000000000
χ5744-2-24-2-24411-2-244-2-2-2-2000044111-2-2-2-211110000000000-2-2-2-20000000000000000110000000
χ5844-2-24-2-24411-2-244-2-2-2-20000-4-4111-2-2-2-21111000000000022220000000000000000-1-10000000
χ5944-2-24-2-24411-2-2-4-4-2-2-2-200004-41112222-1-1-1-10000000000-2-22200000000000000001-10000000
χ6044-2-24-2-24411-2-2-4-4-2-2-2-20000-441112222-1-1-1-1000000000022-2-20000000000000000-110000000
χ614-4440-4-422−224-4000022−2222−22000000022−220000000000000000000000002ζ3+2ζ5−2ζ3−2ζ52ζ+2ζ7−2ζ−2ζ70000000000000000000
χ624-4440-4-422−224-4000022−2222−22000000022−22000000000000000000000000−2ζ3−2ζ52ζ3+2ζ5−2ζ−2ζ72ζ+2ζ70000000000000000000
χ634-4440-4-4−22224-40000−2222−22220000000−22220000000000000000000000002ζ+2ζ7−2ζ−2ζ7−2ζ3−2ζ52ζ3+2ζ50000000000000000000
χ644-4440-4-4−22224-40000−2222−22220000000−2222000000000000000000000000−2ζ−2ζ72ζ+2ζ72ζ3+2ζ5−2ζ3−2ζ50000000000000000000
χ6588-4-48-4-4-8-822-4-40044440000002-2-200000000000000000000000000000000000000000000000
χ6688-4-4-8-4-400224442−420000000000-200−22−22222222−2−2000000000000000000000000000000000000000
χ6788-4-4-8-4-4002244−42420000000000-2002222−22−22−2−222000000000000000000000000000000000000000
χ688-88-404-842−42-44000042−42−22220000000−222200000000000000000000000000000000000000000000000
χ698-88-404-8−4242-440000−424222−22000000022−2200000000000000000000000000000000000000000000000
χ708-8-480-8442−42-440000−222242−420000000−222200000000000000000000000000000000000000000000000
χ718-8-480-84−4242-44000022−22−4242000000022−2200000000000000000000000000000000000000000000000
χ728-8-4-404442−422-20000−2222−222200000002−200003ζ+3ζ7−3ζ−3ζ73ζ3+3ζ5−3ζ3−3ζ5000000000000000000000000000000000000000
χ738-8-4-404442−422-20000−2222−222200000002−20000−3ζ−3ζ73ζ+3ζ7−3ζ3−3ζ53ζ3+3ζ5000000000000000000000000000000000000000
χ748-8-4-4044−42422-2000022−2222−220000000−2200003ζ3+3ζ5−3ζ3−3ζ5−3ζ−3ζ73ζ+3ζ7000000000000000000000000000000000000000
χ758-8-4-4044−42422-2000022−2222−220000000−220000−3ζ3−3ζ53ζ3+3ζ53ζ+3ζ7−3ζ−3ζ7000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 16 (ζ16 = 1).