Finite Group Databasebeta

← Group #11799394

Character table — Group #11799394

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1122222222244444444444444444444444888888888888888888888818181818363636363636484848484848484848484848
order122334466882346668881212121212122424242424242424666661212121212242424242424242424242424161616161616161616162266668824242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-111-1-11-111-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-111-11-1-111
χ511111111111-11-11111-1-111111111111111-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1
χ611111111111-11-11111-1-111111111111111-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111
χ711111111111-11-11111-1-111111111111111-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-1-11-1-111
χ811111111111-11-11111-1-111111111111111-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1111-111-1-1
χ9222222222-2-2222222-2-2-2222222-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000
χ10222222222-2-2-22-2222-222222222-2-2-2-2-2-2-2-2-2-22-2-2-2-22-2-2-2-2-2-2222222220000000000000000000000
χ1122222-2-2220002022202i−2i-2-2-2-2-2-2000000000020000-20000002i2i2i2i−2i−2i−2i−2i22−2−22−2−i2−i2i2i2000000000000
χ1222222-2-2220002022202i−2i-2-2-2-2-2-2000000000020000-20000002i2i2i2i−2i−2i−2i−2i−2−222−22i2i2−i2−i2000000000000
χ1322222-2-222000202220−2i2i-2-2-2-2-2-2000000000020000-2000000−2i−2i−2i−2i2i2i2i2i22−2−22−2i2i2−i2−i2000000000000
χ1422222-2-222000202220−2i2i-2-2-2-2-2-2000000000020000-2000000−2i−2i−2i−2i2i2i2i2i−2−222−22−i2−i2i2i2000000000000
χ152222-1222-1222-122-1-12222-1-1-12-122-1-1-1-1-1-12-1-1-1-12-1-1-1-12-1-1-12-1-1-12-1-1-100000000000200-1-10200-1-1
χ162222-1222-1222-122-1-12222-1-1-12-122-1-1-1-1-1-12-1-1-1-12-1-1-1-12-1-1-12-1-1-12-1-1-100000000000-200110-20011
χ172222-1222-122-2-1-22-1-12-2-22-1-1-12-122-1-1-1-1-1-1-21-111-21-1112-1-1-1-2111-211100000000000200-1-10-20011
χ182222-1222-122-2-1-22-1-12-2-22-1-1-12-122-1-1-1-1-1-1-21-111-21-1112-1-1-1-2111-211100000000000-200110200-1-1
χ192222-1222-1-2-22-122-1-1-2-2-22-1-1-12-1-2-21111112-1-1-1-12-1-1-1-1-2111-2111-211100000000000000−i3i30000−i3i3
χ202222-1222-1-2-22-122-1-1-2-2-22-1-1-12-1-2-21111112-1-1-1-12-1-1-1-1-2111-2111-211100000000000000i3−i30000i3−i3
χ212222-1222-1-2-2-2-1-22-1-1-2222-1-1-12-1-2-2111111-21-111-21-111-21112-1-1-12-1-1-100000000000000−i3i30000i3−i3
χ222222-1222-1-2-2-2-1-22-1-1-2222-1-1-12-1-2-2111111-21-111-21-111-21112-1-1-12-1-1-100000000000000i3−i30000−i3i3
χ23222-1222-12222-12-12-1222-12-1-1-12-1-122-1-1-1-1-12-1-1-1-12-1-1-1-12-1-1-12-1-1-12-1-1000000000020-1-10020-1-100
χ24222-1222-12222-12-12-1222-12-1-1-12-1-122-1-1-1-1-12-1-1-1-12-1-1-1-12-1-1-12-1-1-12-1-10000000000-201100-201100
χ25222-1222-1222-2-1-2-12-12-2-2-12-1-1-12-1-122-1-1-1-11-2-1111-2-111-12-1-11-2111-211000000000020-1-100-201100
χ26222-1222-1222-2-1-2-12-12-2-2-12-1-1-12-1-122-1-1-1-11-2-1111-2-111-12-1-11-2111-2110000000000-20110020-1-100
χ27222-1222-12-2-22-12-12-1-2-2-2-12-1-1-1211-2-21111-12-1-1-1-12-1-1-11-2111-2111-211000000000000−i3i30000−i3i300
χ28222-1222-12-2-22-12-12-1-2-2-2-12-1-1-1211-2-21111-12-1-1-1-12-1-1-11-2111-2111-211000000000000i3−i30000i3−i300
χ29222-1222-12-2-2-2-1-2-12-1-222-12-1-1-1211-2-211111-2-1111-2-1111-211-12-1-1-12-1-1000000000000−i3i30000i3−i300
χ30222-1222-12-2-2-2-1-2-12-1-222-12-1-1-1211-2-211111-2-1111-2-1111-211-12-1-1-12-1-1000000000000i3−i30000−i3i300
χ3122-2222-22222020-2-22-2002222-2-22222222200-20000-200-2-2-2-2000000002222-2-20000000000000000
χ3222-2222-22222020-2-22-2002222-2-22222222200-20000-200-2-2-2-200000000-2-2-2-2220000000000000000
χ3322-2222-222-2-2020-2-222002222-2-2-2-2-2-2-2-2-2-200-20000-2002222000000000000002i−2i2i−2i000000000000
χ3422-2222-222-2-2020-2-222002222-2-2-2-2-2-2-2-2-2-200-20000-200222200000000000000−2i2i−2i2i000000000000
χ3522-222-22220022-2-2-22000-2-2-2-2220000000022-222-2-22-2-200000000000022−2−2−222−2−22000000000000
χ3622-222-22220022-2-2-22000-2-2-2-2220000000022-222-2-22-2-2000000000000−2−2222−2−222−2000000000000
χ3722-222-222200-222-2-22000-2-2-2-22200000000-2-2-2-2-22222200000000000022−2−2−22−222−2000000000000
χ3822-222-222200-222-2-22000-2-2-2-22200000000-2-2-2-2-222222000000000000−2−2222−22−2−22000000000000
χ394444-2-4-44-2000-204-2-204i−4i-4222-420000000000-2000020000004i−2i−2i−2i−4i2i2i2i0000000000000000000000
χ404444-2-4-44-2000-204-2-20−4i4i-4222-420000000000-200002000000−4i2i2i2i4i−2i−2i−2i0000000000000000000000
χ41444-24-4-4-24000-20-24-204i−4i2-4222-40000000000-200002000000−2i4i−2i−2i2i−4i2i2i0000000000000000000000
χ42444-24-4-4-24000-20-24-20−4i4i2-4222-40000000000-2000020000002i−4i2i2i−2i4i−2i−2i0000000000000000000000
χ43444-2-244-2-244414-2-21444-2-211-2-2-2-2-2-21111-2-2111-2-2111-2-211-2-211-2-2110000000000000000000000
χ44444-2-244-2-244-41-4-2-214-4-4-2-211-2-2-2-2-2-21111221-1-1221-1-1-2-21122-1-122-1-10000000000000000000000
χ45444-2-244-2-2-4-4414-2-21-4-4-4-2-211-2-22222-1-1-1-1-2-2111-2-211122-1-122-1-122-1-10000000000000000000000
χ46444-2-244-2-2-4-4-41-4-2-21-444-2-211-2-22222-1-1-1-1221-1-1221-1-122-1-1-2-211-2-2110000000000000000000000
χ47444-2-2-4-4-2-200010-2-2104i−4i22-1-12200003i3i−3i−3i0013-300-13-3003i−3i−2i−2iii2i2i−i−i0000000000000000000000
χ48444-2-2-4-4-2-200010-2-2104i−4i22-1-1220000−3i−3i3i3i001-3300-1-3300−3i3i−2i−2iii2i2i−i−i0000000000000000000000
χ49444-2-2-4-4-2-200010-2-210−4i4i22-1-12200003i3i−3i−3i001-3300-1-33003i−3i2i2i−i−i−2i−2iii0000000000000000000000
χ50444-2-2-4-4-2-200010-2-210−4i4i22-1-1220000−3i−3i3i3i0013-300-13-300−3i3i2i2i−i−i−2i−2iii0000000000000000000000
χ5144-44-24-44-2440-20-42-2-4004-2-2-2-4244-2-2-2-2-2-20020000200-4222000000000000000000000000000000
χ5244-44-24-44-2-4-40-20-42-24004-2-2-2-42-4-422222200200002004-2-2-2000000000000000000000000000000
χ5344-44-2-444-2004-2-4-42-2000-42224-2000000004-22-2-2-42-2220000000000000000000000000000000000
χ5444-44-2-444-200-4-24-42-2000-42224-200000000-422224-2-2-2-20000000000000000000000000000000000
χ5544-4-244-4-24440-202-4-2-400-24-2-22-4-2-244-2-2-2-200200002002-422000000000000000000000000000000
χ5644-4-244-4-24-4-40-202-4-2400-24-2-22-422-4-422220020000200-24-2-2000000000000000000000000000000
χ5744-4-24-44-24004-2-42-4-20002-422-2400000000-242-2-22-4-2220000000000000000000000000000000000
χ5844-4-24-44-2400-4-242-4-20002-422-24000000002-4222-24-2-2-20000000000000000000000000000000000
χ5944-4-2-24-4-2-244010221-400-2-21122-2-2-2-2111100-13-300-1-3322-1-1003-3003-30000000000000000000000
χ6044-4-2-24-4-2-244010221-400-2-21122-2-2-2-2111100-1-3300-13-322-1-100-3300-330000000000000000000000
χ6144-4-2-24-4-2-2-4-4010221400-2-211222222-1-1-1-100-13-300-1-33-2-21100-3300-330000000000000000000000
χ6244-4-2-24-4-2-2-4-4010221400-2-211222222-1-1-1-100-1-3300-13-3-2-211003-3003-30000000000000000000000
χ6344-4-2-2-44-2-20041-422100022-1-1-2-200003i3i−3i−3i-2-2-111221-1-100−3i3i003i−3i00−3i3i0000000000000000000000
χ6444-4-2-2-44-2-20041-422100022-1-1-2-20000−3i−3i3i3i-2-2-111221-1-1003i−3i00−3i3i003i−3i0000000000000000000000
χ6544-4-2-2-44-2-200-41422100022-1-1-2-200003i3i−3i−3i22-1-1-1-2-211100−3i3i00−3i3i003i−3i0000000000000000000000
χ6644-4-2-2-44-2-200-41422100022-1-1-2-20000−3i−3i3i3i22-1-1-1-2-2111003i−3i003i−3i00−3i3i0000000000000000000000
χ674-404400-4-422−2204000-400000000022−2222−2222−2222−220000000000000000000000−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ43000000000000000000
χ684-404400-4-422−2204000-400000000022−2222−2222−2222−2200000000000000000000002ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43000000000000000000
χ694-404400-4-4−222204000-4000000000−2222−2222−2222−222200000000000000000000002ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47000000000000000000
χ704-404400-4-4−222204000-4000000000−2222−2222−2222−22220000000000000000000000−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47000000000000000000
χ718-808-400-8442−420-4000400000000042−42−2222−2222−222200000000000000000000000000000000000000000000
χ728-808-400-84−42420-40004000000000−424222−2222−2222−2200000000000000000000000000000000000000000000
χ738-80-48004-842−420-40004000000000−222242−42−2222−222200000000000000000000000000000000000000000000
χ748-80-48004-8−42420-4000400000000022−22−424222−2222−2200000000000000000000000000000000000000000000
χ758-80-4-4004442−4202000-2000006i−6i00−2222−2222−4ζ10−2ζ14−4ζ26−2ζ464ζ10+2ζ14+4ζ26+2ζ462ζ10+4ζ14+2ζ26+4ζ46−2ζ10−4ζ14−2ζ26−4ζ4600000000000000000000000000000000000000000000
χ768-80-4-4004442−4202000-200000−6i6i00−2222−22222ζ10+4ζ14+2ζ26+4ζ46−2ζ10−4ζ14−2ζ26−4ζ46−4ζ10−2ζ14−4ζ26−2ζ464ζ10+2ζ14+4ζ26+2ζ4600000000000000000000000000000000000000000000
χ778-80-4-40044−424202000-2000006i−6i0022−2222−224ζ10+2ζ14+4ζ26+2ζ46−4ζ10−2ζ14−4ζ26−2ζ46−2ζ10−4ζ14−2ζ26−4ζ462ζ10+4ζ14+2ζ26+4ζ4600000000000000000000000000000000000000000000
χ788-80-4-40044−424202000-200000−6i6i0022−2222−22−2ζ10−4ζ14−2ζ26−4ζ462ζ10+4ζ14+2ζ26+4ζ464ζ10+2ζ14+4ζ26+2ζ46−4ζ10−2ζ14−4ζ26−2ζ4600000000000000000000000000000000000000000000

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