Finite Group Databasebeta

← Group #11899657

Character table — Group #11899657

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size1122222224444444444666688888888888889912121212121212121212161616161818182424242424242424242432323636484848487272
order12334668836121216162424242422444412242448484848484848484466881212161616161212121228822442424484848481212161666121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-111111111111111111111111-1-1-1-1111-1-1-1-1111111-1-111-1-1-1-1-1-1
χ311111111111111111111-11-11111111111111-1-11-11-11-111-1-11111-1-1-11-11-11-111-1-111-1-11-11-1-1-1
χ411111111111111111111-11-1-1-111111111111-1-11-11-11-111-1-1-1-1-1-1-1-1-1-11-111-111-1-1-1-1-1-1-11-1111
χ51111111111111111111-11-111111111111111-1-1-11-11-11-1-1111111-1-1-1-11-11-11-1-11111-1-1-11-11-1-1
χ61111111111111111111-11-11-1-111111111111-1-1-11-11-11-1-111-1-1-1-1-1-1-11-11-1-11-1-111-1-1-1-11-11-111
χ71111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ81111111111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1
χ91111111111111-1-1111111111-1111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1111-1-1-1-11-1-1-11-1-111-1
χ101111111111111-1-111111111-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111-111-111-1-1-1-1-11-1-1-111-1-11
χ111111111111111-1-111111-11-11-1111-1-1-1-1-1-1-1-1-1-11-11-11-1-1-11111-1-1-1-1-111-1-11-1-1-1111-11111-1-1-11
χ121111111111111-1-111111-11-1-11111-1-1-1-1-1-1-1-1-1-11-11-11-1-1-111-1-111-1-1-1-1-1111-1-1-111-1111-1-1111-1
χ131111111111111-1-11111-11-111-1111-1-1-1-1-1-1-1-1-1-1-11-11-1111-1-111-1-1-1-1-1-1-111-1111-1-11-111-1-111-11
χ141111111111111-1-11111-11-11-11111-1-1-1-1-1-1-1-1-1-1-11-11-1111-1-1-1-111-1-1-111-1-1-1111-1-1-111111-1-11-1
χ151111111111111-1-11111-1-1-1-11-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1111-111-1-1-111111-1-1-1-111-11-1
χ161111111111111-1-11111-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1111111-1-11-1-11111-11-1-11-1-11-11
χ172222222-2-2222200-2-2-2-22222002-2-2000000002222-2-222000000002-2-20000-2-200000000000000
χ182222222-2-2222200-2-2-2-22-22-2002-2-200000000-2-22-2-222-200000000-2220000-2200000000000000
χ192222222-2-2222200-2-2-2-2-22-22002-2-200000000-2-2-222-2-2200000000-22200002-200000000000000
χ202222222-2-2222200-2-2-2-2-2-2-2-2002-2-20000000022-2-222-2-2000000002-2-200002200000000000000
χ212222-2220022-2-22−2000022-2-200-20022−2−222−2−2-2-22200-2-22−22−200002000000002−22−2002−2000000
χ222222-2220022-2-22−200002-2-2200-20022−2−222−2−2222-200-222−2−220000-2000000002−2−2200−22000000
χ232222-2220022-2-22−20000-222-200-20022−2−222−2−222-22002-2−222−20000-200000000−222−200−22000000
χ242222-2220022-2-22−20000-2-22200-20022−2−222−2−2-2-2-2-20022−22−220000200000000−22−22002−2000000
χ252222-2220022-2-2−22000022-2-200-200−2−222−2−222-2-22200-2-2−22−220000200000000−22−2200−22000000
χ262222-2220022-2-2−2200002-2-2200-200−2−222−2−222222-200-22−222−20000-200000000−222−2002−2000000
χ272222-2220022-2-2−220000-222-200-200−2−222−2−22222-22002-22−2−220000-2000000002−2−22002−2000000
χ282222-2220022-2-2−220000-2-22200-200−2−222−2−222-2-2-2-200222−22−200002000000002−22−200−22000000
χ29222-122-122-1-12-12222-1-1020222-1-1-12-12-1-1-1-1-1000-1020-100222-12-100002020-100-1-1-1-1000-10-100
χ30222-122-122-1-12-12222-1-10202-2-2-1-1-12-12-1-1-1-1-1000-1020-10022-21-210000-20-20-100-1-11100010100
χ31222-122-122-1-12-12222-1-10-20-222-1-1-12-12-1-1-1-1-100010-20100-2-22-12-10000-20-2010011-1-100010100
χ32222-122-122-1-12-12222-1-10-20-2-2-2-1-1-12-12-1-1-1-1-100010-20100-2-2-21-21000020201001111000-10-100
χ33222-122-122-1-12-1-2-222-1-102022-2-1-1-1-21-211111000-1020-100-2-22-1-210000-2020-10011-1100010-100
χ34222-122-122-1-12-1-2-222-1-10202-22-1-1-1-21-211111000-1020-100-2-2-212-1000020-20-100111-1000-10100
χ35222-122-122-1-12-1-2-222-1-10-20-22-2-1-1-1-21-21111100010-20100222-1-21000020-20100-1-1-11000-10100
χ36222-122-122-1-12-1-2-222-1-10-20-2-22-1-1-1-21-21111100010-2010022-212-10000-2020100-1-11-100010-100
χ3722-122-1222-1-1-1222-1-122202022-1-1-1-12-12-1-1-1-100-1020-102200-12-120002020-10-1-100-1-100-10-1000
χ3822-122-1222-1-1-1222-1-1222020-2-2-1-1-1-12-12-1-1-1-100-1020-1022001-21-2000-20-20-10-1-1001100101000
χ3922-122-1222-1-1-1222-1-122-20-2022-1-1-1-12-12-1-1-1-10010-2010-2-200-12-12000-20-20101100-1-100101000
χ4022-122-1222-1-1-1222-1-122-20-20-2-2-1-1-1-12-12-1-1-1-10010-2010-2-2001-21-200020201011001100-10-1000
χ4122-122-1222-1-1-12-2-2-1-12220202-2-1-1-11-21-2111100-1020-10-2-200-121-200020-20-101100-1100-101000
χ4222-122-1222-1-1-12-2-2-1-1222020-22-1-1-11-21-2111100-1020-10-2-2001-2-12000-2020-1011001-10010-1000
χ4322-122-1222-1-1-12-2-2-1-122-20-202-2-1-1-11-21-211110010-20102200-121-2000-202010-1-100-110010-1000
χ4422-122-1222-1-1-12-2-2-1-122-20-20-22-1-1-11-21-211110010-201022001-2-1200020-2010-1-1001-100-101000
χ45444-244-2-4-4-2-24-200-4-422040400-22200000000000-20-40-20000000000000000200000000000000
χ46444-244-2-4-4-2-24-200-4-4220-40-400-22200000000000204020000000000000000-200000000000000
χ47444-2-44-200-2-2-4222−220000040-40020022−2−222−2−222000-200020022−22000000000000000−220000000000
χ48444-2-44-200-2-2-4222−2200000-4040020022−2−222−2−2220002000-200−22220000000000000002−20000000000
χ49444-2-44-200-2-2-42−22220000040-400200−22222−222−2−2000-2000200−22220000000000000002−20000000000
χ50444-2-44-200-2-2-42−222200000-40400200−22222−222−2−20002000-20022−22000000000000000−220000000000
χ5144-244-24-4-4-2-2-240022-4-4404000-2220000000000-20-40-200000000000000002000000000000000
χ5244-244-24-4-4-2-2-240022-4-4-40-4000-2220000000000204020000000000000000-2000000000000000
χ5344-24-4-2400-2-22-422−22000040-4000200−2222−22−2−22200-20002022−22000000000000000−22000000000000
χ5444-24-4-2400-2-22-422−220000-404000200−2222−22−2−222002000-20−22220000000000000002−2000000000000
χ5544-24-4-2400-2-22-4−2222000040-40002002−22−22222−2−200-200020−22220000000000000002−2000000000000
χ5644-24-4-2400-2-22-4−22220000-4040002002−22−22222−2−2002000-2022−22000000000000000−22000000000000
χ5744-2-24-2-24411-2-244-2-2-2-2000044111-2-2-2-21111000000000000-2-2-2-200000000000001100000000
χ5844-2-24-2-24411-2-244-2-2-2-20000-4-4111-2-2-2-2111100000000000022220000000000000-1-100000000
χ5944-2-24-2-24411-2-2-4-4-2-2-2-200004-41112222-1-1-1-1000000000000-2-22200000000000001-100000000
χ6044-2-24-2-24411-2-2-4-4-2-2-2-20000-441112222-1-1-1-100000000000022-2-20000000000000-1100000000
χ614-4440-4-422−224-4000022−2222−22000000022−22000000004i−4i0000000000000002i2−2i200000000000000000000
χ624-4440-4-422−224-4000022−2222−22000000022−2200000000−4i4i000000000000000−2i22i200000000000000000000
χ634-4440-4-4−22224-40000−2222−22220000000−2222000000004i−4i000000000000000−2i22i200000000000000000000
χ644-4440-4-4−22224-40000−2222−22220000000−222200000000−4i4i0000000000000002i2−2i200000000000000000000
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
χ688-88-40-8442−42-44000042−42−22220000000−222200000000000000000000000000000000000000000000000
χ698-88-40-84−4242-440000−424222−22000000022−2200000000000000000000000000000000000000000000000
χ708-8-4804-842−42-440000−222242−420000000−222200000000000000000000000000000000000000000000000
χ718-8-4804-8−4242-44000022−22−4242000000022−2200000000000000000000000000000000000000000000000
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); i = ζ4.