Finite Group Databasebeta

← Group #11899656

Character table — Group #11899656

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11222222233444444444444446666666888888888881212121212121212121212121212161616161818242424242424243232363636484848487272
order1233466884436121216162424242448484848224881212441224244848484848486681216161616242448484848121212122422242448481212816166661224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111111111111111111111111-1-1-1-111-1-1-1-1111-1-1111-1-1-1-1-1-1
χ311111111111111111111111111-1-1111111111111111-11-1-111-1-11111111111-1-111-1-1-1-1-111-1-1-1-111-1-1-1
χ411111111111111111111111111-1-11111-1-1111111111-11-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1111
χ5111111111111111-1-11111-1-1-1-111111111-1111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11-11-1111-11-11-1-11-11-1-111-1-1-11
χ6111111111111111-1-11111-1-1-1-11111111-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-11-1111-11-111-1-1-111-1-1-1-1111-1
χ7111111111111111-1-11111-1-1-1-11-1-111111-1111-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11-11-1-1-11-1-11-1111-1-111-11-111-1
χ8111111111111111-1-11111-1-1-1-11-1-11111-11111-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-11-11-1-1-111-1-111-11-1111-11-1-11
χ9111111111-1-111111111111111-111-1-1-1-1111111111111-111-1-111-1-1-1-1-1-11111-1-1-1-11111111-1-1-11-1-11-1-1
χ10111111111-1-111111111111111-111-1-1-1-1-1-11111111111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-1-1-111-111
χ11111111111-1-111111111111111-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111111-1-1-1-111
χ12111111111-1-111111111111111-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11111111-1-1
χ13111111111-1-11111-1-11111-1-1-1-1-111-1-1-1-11-1111-1-1-1-1-1-11-11111-1-1-1-111111-11-1-1-1-111-11-1-11-1-1111-11-11-1
χ14111111111-1-11111-1-11111-1-1-1-1-111-1-1-1-1-11111-1-1-1-1-1-11-11111-1-1-1-11111-11-11-1-11-1-111-1-1-11-111-11-11-11
χ15111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-1-1-1-1-11111-1-111111-11-111-11-11-1111-11-1-1-1-111-11
χ16111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-11-11111-11-1-111-111-1-111-1-11-1
χ172222222-2-222222200-2-2-2-20000222-2-222002-2-200000022-220000-2-200000000220000-20000-200000000
χ182222222-2-222222200-2-2-2-200002-2-2-2-222002-2-2000000-222-20000-2-200000000-2-2000020000200000000
χ192222222-2-2-2-2222200-2-2-2-20000-22222-2-2002-2-20000002-2-2200002200000000-2-20000-20000200000000
χ202222222-2-2-2-2222200-2-2-2-20000-2-2-222-2-2002-2-2000000-2-22-20000220000000022000020000-200000000
χ212222-222002222-2-22−2000022−2−2-22-2002200-2002−222−2−22-20-22−22−20022−2−20000-22000002−20002−2000000
χ222222-222002222-2-22−2000022−2−2-2-22002200-2002−222−2−2-2-2022−2−220022−2−200002-200000−22000−22000000
χ232222-222002222-2-2−220000−2−222-22-2002200-200−22−2−2222-20-2−22−2200−2−2220000-2200000−22000−22000000
χ242222-222002222-2-2−220000−2−222-2-22002200-200−22−2−222-2-202−222−200−2−22200002-2000002−20002−2000000
χ252222-22200-2-222-2-22−2000022−2−222-200-2-200-2002−222−2−2220-2−222−200−2−22200002-2000002−2000−22000000
χ262222-22200-2-222-2-22−2000022−2−22-2200-2-200-2002−222−2−2-2202−22−2200−2−2220000-2200000−220002−2000000
χ272222-22200-2-222-2-2−220000−2−22222-200-2-200-200−22−2−222220-22−2−220022−2−200002-200000−220002−2000000
χ282222-22200-2-222-2-2−220000−2−2222-2200-2-200-200−22−2−222-22022−22−20022−2−20000-22000002−2000−22000000
χ29222-12-122222-1-1-122222-1-1-1-1-1-120022-1-122-1-1-122-1-1-1-10-1002200-1-1-1-1-1-1-1-122002200000-1-10000-1-1000
χ30222-12-122222-1-1-122222-1-1-1-1-1-120022-1-1-2-2-1-1-122-1-1-1-10-1002200-1-1-1-1-1-111-2-200-2-20000011000011000
χ31222-12-122222-1-1-12-2-222-1-1111120022-1-12-2-1-1-1-2-211110-100-2-200-1-11111-112-2002-200000-110000-11000
χ32222-12-122222-1-1-12-2-222-1-1111120022-1-1-22-1-1-1-2-211110-100-2-200-1-111111-1-2200-22000001-100001-1000
χ33222-12-1222-2-2-1-1-122222-1-1-1-1-1-1-200-2-21122-1-1-122-1-1-1-10100-2-200111111-1-12200-2-200000-1-1000011000
χ34222-12-1222-2-2-1-1-122222-1-1-1-1-1-1-200-2-211-2-2-1-1-122-1-1-1-10100-2-20011111111-2-2002200000110000-1-1000
χ35222-12-1222-2-2-1-1-12-2-222-1-11111-200-2-2112-2-1-1-1-2-211110100220011-1-1-1-1-112-200-2200000-1100001-1000
χ36222-12-1222-2-2-1-1-12-2-222-1-11111-200-2-211-22-1-1-1-2-211110100220011-1-1-1-11-1-22002-2000001-10000-11000
χ3722-1222-12200-1-12-122-1-1222222022000022-1-1-1-1-1-1-1-1-1-102-1002200000022-1-1000022-1-1-1-1-1000-100-100
χ3822-1222-12200-1-12-122-1-12222220220000-2-2-1-1-1-1-1-1-1-1-1-102-10022000000-2-2110000-2-2-1-1-111000100100
χ3922-1222-12200-1-12-122-1-12222220-2-2000022-1-1-1-1-1-1-1-1-110-2100-2-200000022-1-10000-2-2111-1-1000100100
χ4022-1222-12200-1-12-122-1-12222220-2-20000-2-2-1-1-1-1-1-1-1-1-110-2100-2-2000000-2-21100002211111000-100-100
χ4122-1222-12200-1-12-1-2-2-1-122-2-2-2-202200002-2-1-1-1111111-102-100-2-20000002-2-1100002-2-111-11000-100100
χ4222-1222-12200-1-12-1-2-2-1-122-2-2-2-20220000-22-1-1-1111111-102-100-2-2000000-221-10000-22-1111-1000100-100
χ4322-1222-12200-1-12-1-2-2-1-122-2-2-2-20-2-200002-2-1-1-111111110-2100220000002-2-110000-221-1-1-11000100-100
χ4422-1222-12200-1-12-1-2-2-1-122-2-2-2-20-2-20000-22-1-1-111111110-210022000000-221-100002-21-1-11-1000-100100
χ45444-24-24-4-444-2-2-2400-4-4220000400-4-4-2-200-2220000000-2000000220000000000000000000000000000
χ46444-24-24-4-4-4-4-2-2-2400-4-4220000-400442200-22200000002000000-2-20000000000000000000000000000
χ47444-2-4-240044-2-22-422−220000−2−222-40000-2-20020022−22−2−222020022−220000−2−222000000000000000000000000
χ48444-2-4-240044-2-22-4−2222000022−2−2-40000-2-200200−222222−2−20200−2222000022−2−2000000000000000000000000
χ49444-2-4-2400-4-4-2-22-422−220000−2−22240000220020022−22−2−2220-200−2222000022−2−2000000000000000000000000
χ50444-2-4-2400-4-4-2-22-4−2222000022−2−2400002200200−222222−2−20-20022−220000−2−222000000000000000000000000
χ5144-2444-2-4-400-2-24-20022-4-40000044000000-222000000-20-4-20000000000000000000020000000000000
χ5244-2444-2-4-400-2-24-20022-4-400000-4-4000000-222000000204200000000000000000000-20000000000000
χ5344-24-44-20000-2-2-4222−2200002222−22−2204-4000000200−22−2−222-20020022−2200000000000000000−2200000000000
χ5444-24-44-20000-2-2-4222−2200002222−22−220-44000000200−22−2−222200-200−2222000000000000000002−200000000000
χ5544-24-44-20000-2-2-42−22220000−22−22222204-40000002002−222−2−2-200200−2222000000000000000002−200000000000
χ5644-24-44-20000-2-2-42−22220000−22−2222220-440000002002−222−2−2200-20022−2200000000000000000−2200000000000
χ5744-2-24-2-2440011-2-244-2-2-2-2-2-2-2-2000000044111-2-2111100000000000000-2-2-2-200000000011000000000
χ5844-2-24-2-2440011-2-244-2-2-2-2-2-2-2-20000000-4-4111-2-21111000000000000002222000000000-1-1000000000
χ5944-2-24-2-2440011-2-2-4-4-2-2-2-2222200000004-411122-1-1-1-100000000000000-22-220000000001-1000000000
χ6044-2-24-2-2440011-2-2-4-4-2-2-2-222220000000-4411122-1-1-1-1000000000000002-22-2000000000-11000000000
χ614-4440-4-422−224i−4i4-4000022−2222−220000000−2i22i24i−4i00022−2200000000000000−2i22i20000000000000000000000000000
χ624-4440-4-422−22−4i4i4-4000022−2222−2200000002i2−2i2−4i4i00022−22000000000000002i2−2i20000000000000000000000000000
χ634-4440-4-4−22224i−4i4-40000−2222−222200000002i2−2i24i−4i000−2222000000000000002i2−2i20000000000000000000000000000
χ644-4440-4-4−2222−4i4i4-40000−2222−22220000000−2i22i2−4i4i000−222200000000000000−2i22i20000000000000000000000000000
χ654-44-202-422−224i−4i-22000022−22−22−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47000−2i22i2−2i2i000−2200−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ4700000000i2−i2−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43000000000000000000000000
χ664-44-202-422−224i−4i-22000022−22−22ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47000−2i22i2−2i2i000−2200ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ4700000000i2−i2ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43000000000000000000000000
χ674-44-202-422−22−4i4i-22000022−22−22−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ470002i2−2i22i−2i000−2200−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ4700000000−i2i2ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43000000000000000000000000
χ684-44-202-422−22−4i4i-22000022−22−22ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ470002i2−2i22i−2i000−2200ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ4700000000−i2i2−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43000000000000000000000000
χ694-44-202-4−22224i−4i-220000−22222−2−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ430002i2−2i2−2i2i0002−200−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ4300000000−i2i2−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47000000000000000000000000
χ704-44-202-4−22224i−4i-220000−22222−2ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ430002i2−2i2−2i2i0002−200ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ4300000000−i2i2ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47000000000000000000000000
χ714-44-202-4−2222−4i4i-220000−22222−2−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43000−2i22i22i−2i0002−200−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ4300000000i2−i2ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47000000000000000000000000
χ724-44-202-4−2222−4i4i-220000−22222−2ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43000−2i22i22i−2i0002−200ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ4300000000i2−i2−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47000000000000000000000000
χ7388-4-48-4-4-8-80022-4-400444400000000000002-2-200000000000000000000000000000000000000000000
χ7488-4-4-8-4-40000224442−420000−22−222222000000000-200−222222−2−200000000000000000000000000000000000000
χ7588-4-4-8-4-400002244−424200002222−22−22000000000-20022−22−2−22200000000000000000000000000000000000000
χ768-8-480-8442−4200-440000−222242−4200000000000000−222200000000000000000000000000000000000000000000
χ778-8-480-84−424200-44000022−22−42420000000000000022−2200000000000000000000000000000000000000000000
χ788-8-4-404442−42002-20000−2222−2222−2ζ11−2ζ13+2ζ29+2ζ432ζ11+2ζ13−2ζ29−2ζ43−2ζ25+2ζ31+2ζ41−2ζ472ζ25−2ζ31−2ζ41+2ζ4700000000002−200ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ4700000000000000000000000000000000000000
χ798-8-4-404442−42002-20000−2222−22222ζ11+2ζ13−2ζ29−2ζ43−2ζ11−2ζ13+2ζ29+2ζ432ζ25−2ζ31−2ζ41+2ζ47−2ζ25+2ζ31+2ζ41−2ζ4700000000002−200−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ4700000000000000000000000000000000000000
χ808-8-4-4044−4242002-2000022−2222−22−2ζ25+2ζ31+2ζ41−2ζ472ζ25−2ζ31−2ζ41+2ζ472ζ11+2ζ13−2ζ29−2ζ43−2ζ11−2ζ13+2ζ29+2ζ430000000000−2200ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ4300000000000000000000000000000000000000
χ818-8-4-4044−4242002-2000022−2222−222ζ25−2ζ31−2ζ41+2ζ47−2ζ25+2ζ31+2ζ41−2ζ47−2ζ11−2ζ13+2ζ29+2ζ432ζ11+2ζ13−2ζ29−2ζ430000000000−2200−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ4300000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.