Finite Group Databasebeta

← Group #11799399

Character table — Group #11799399

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1122222222244444444444444444444444888888888888888888888818181818363636363636484848484848484848484848
order1223344668836668121212121212161616162424242424242424612242424244848484848484848484848484848484816161616248816162266668824242424
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
χ51111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1
χ61111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111
χ71111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-111-1-1-11-1-111
χ81111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11-1-1111-111-1-1
χ9222222222-2-22222-22222220000-2-2-2-2-2-2-2-222-2-2-2-20000000000000000000022-2-200000000000000
χ10222222222-2-22222-22222220000-2-2-2-2-2-2-2-222-2-2-2-200000000000000000000-2-22200000000000000
χ1122222-2-2220022220-2-2-2-2-2-2−i2−i2i2i2000000002-20000−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i222−2−2002i−2i2−2000000000000
χ1222222-2-2220022220-2-2-2-2-2-2−i2−i2i2i2000000002-20000−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−2−22200−2i2i−22000000000000
χ1322222-2-2220022220-2-2-2-2-2-2i2i2−i2−i2000000002-20000i2i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i222−2−200−2i2i2−2000000000000
χ1422222-2-2220022220-2-2-2-2-2-2i2i2−i2−i2000000002-20000i2i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2−2−222002i−2i−22000000000000
χ152222-1222-122-12-1-122-1-1-12-1222222-1-1-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000000000200-1-10200-1-1
χ162222-1222-122-12-1-122-1-1-12-1222222-1-1-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000000000-200110-20011
χ172222-1222-122-12-1-122-1-1-12-1-2-2-2-222-1-1-1-1-1-1-1-12-1-1-1-2-2111111-2-211111100000000000200-1-10-20011
χ182222-1222-122-12-1-122-1-1-12-1-2-2-2-222-1-1-1-1-1-1-1-12-1-1-1-2-2111111-2-211111100000000000-200110200-1-1
χ19222-1222-1222-1-12-12-12-1-1-122222-1-122-1-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000000020-1-10020-1-100
χ20222-1222-1222-1-12-12-12-1-1-122222-1-122-1-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-10000000000-201100-201100
χ21222-1222-1222-1-12-12-12-1-1-12-2-2-2-2-1-122-1-1-1-1-1-1-12-1-111-2-2111111-2-21111000000000020-1-100-201100
χ22222-1222-1222-1-12-12-12-1-1-12-2-2-2-2-1-122-1-1-1-1-1-1-12-1-111-2-2111111-2-211110000000000-20110020-1-100
χ2322-2222-222222-2-22-22222-2-2000022222222-2-2-2-2-2-2000000000000000022220000-2-2000000000000
χ2422-2222-222222-2-22-22222-2-2000022222222-2-2-2-2-2-20000000000000000-2-2-2-2000022000000000000
χ2522-2222-222-2-22-2-2222222-2-22i−2i2i−2i-2-2-2-2-2-2-2-2-2-222222i−2i2i−2i2i2i−2i−2i2i−2i2i−2i2i2i−2i−2i0000000000000000000000
χ2622-2222-222-2-22-2-2222222-2-2−2i2i−2i2i-2-2-2-2-2-2-2-2-2-22222−2i2i−2i2i−2i−2i2i2i−2i2i−2i2i−2i−2i2i2i0000000000000000000000
χ2722-222-2222002-2-220-2-2-2-2222−2−2200000000-2200002−22−222−2−2−22−22−2−22222−2−22-200−22000000000000
χ2822-222-2222002-2-220-2-2-2-2222−2−2200000000-2200002−22−222−2−2−22−22−2−222−2−222-22002−2000000000000
χ2922-222-2222002-2-220-2-2-2-222−222−200000000-220000−22−22−2−2222−22−222−2−222−2−2-2200−22000000000000
χ3022-222-2222002-2-220-2-2-2-222−222−200000000-220000−22−22−2−2222−22−222−2−2−2−2222-2002−2000000000000
χ3122-22-12-22-1-2-2-1-21-122-1-1-1-212i−2i2i−2i-2-2111111112-1-1-12i−2i−ii−i−iii2i−2i−ii−i−iii00000000000000−i3i300003−3
χ3222-22-12-22-1-2-2-1-21-122-1-1-1-212i−2i2i−2i-2-2111111112-1-1-12i−2i−ii−i−iii2i−2i−ii−i−iii00000000000000i3−i30000−33
χ3322-22-12-22-1-2-2-1-21-122-1-1-1-21−2i2i−2i2i-2-2111111112-1-1-1−2i2ii−iii−i−i−2i2ii−iii−i−i00000000000000−i3i30000−33
χ3422-22-12-22-1-2-2-1-21-122-1-1-1-21−2i2i−2i2i-2-2111111112-1-1-1−2i2ii−iii−i−i−2i2ii−iii−i−i00000000000000i3−i300003−3
χ3522-2-122-2-12-2-2-11-2-12-12-1-11-22i−2i2i−2i11-2-2111111-12-1-1−ii2i−2i−i−iii−ii2i−2i−i−iii000000000000−i3i300003−300
χ3622-2-122-2-12-2-2-11-2-12-12-1-11-22i−2i2i−2i11-2-2111111-12-1-1−ii2i−2i−i−iii−ii2i−2i−i−iii000000000000i3−i30000−3300
χ3722-2-122-2-12-2-2-11-2-12-12-1-11-2−2i2i−2i2i11-2-2111111-12-1-1i−i−2i2iii−i−ii−i−2i2iii−i−i000000000000−i3i30000−3300
χ3822-2-122-2-12-2-2-11-2-12-12-1-11-2−2i2i−2i2i11-2-2111111-12-1-1i−i−2i2iii−i−ii−i−2i2iii−i−i000000000000i3−i300003−300
χ394444-2444-2-4-4-24-2-2-44-2-2-24-20000-4-4222222-2-2-422200000000000000000000000000000000000000
χ404444-2-4-44-200-24-2-20-4222-42−2i2−2i22i22i200000000-220000−2i2−2i2i2i2i2i2i2i22i22i2−i2−i2−i2−i2−i2−i20000000000000000000000
χ414444-2-4-44-200-24-2-20-4222-422i22i2−2i2−2i200000000-2200002i22i2−i2−i2−i2−i2−i2−i2−2i2−2i2i2i2i2i2i2i20000000000000000000000
χ42444-2444-24-4-4-2-24-2-4-24-2-2-24000022-4-42222-2-22-42200000000000000000000000000000000000000
χ43444-24-4-4-2400-2-24-202-4222-4−2i2−2i22i22i200000000-220000i2i2−2i2−2i2i2i2i2i2−i2−i22i22i2−i2−i2−i2−i20000000000000000000000
χ44444-24-4-4-2400-2-24-202-4222-42i22i2−2i2−2i200000000-220000−i2−i22i22i2−i2−i2−i2−i2i2i2−2i2−2i2i2i2i2i20000000000000000000000
χ45444-2-244-2-2441-2-214-2-211-2-24444-2-2-2-2111111-2-211-2-2-2-21111-2-2-2-211110000000000000000000000
χ46444-2-244-2-2441-2-214-2-211-2-2-4-4-4-4-2-2-2-2111111-2-2112222-1-1-1-12222-1-1-1-10000000000000000000000
χ47444-2-244-2-2-4-41-2-21-4-2-211-2-200002222-1-1-1-11122-1-100003i−3i3i−3i00003i−3i3i−3i0000000000000000000000
χ48444-2-244-2-2-4-41-2-21-4-2-211-2-200002222-1-1-1-11122-1-10000−3i3i−3i3i0000−3i3i−3i3i0000000000000000000000
χ49444-2-2-4-4-2-2001-2-21022-1-122−2i2−2i22i22i200003i3i−3i−3i1-1003i−3ii2i2i2i2−2ζ10+ζ14−2ζ26+ζ46ζ10−2ζ14+ζ26−2ζ46−2ζ10+ζ14−2ζ26+ζ46ζ10−2ζ14+ζ26−2ζ46−i2−i2−i2−i22ζ10−ζ14+2ζ26−ζ46−ζ10+2ζ14−ζ26+2ζ462ζ10−ζ14+2ζ26−ζ46−ζ10+2ζ14−ζ26+2ζ460000000000000000000000
χ50444-2-2-4-4-2-2001-2-21022-1-122−2i2−2i22i22i20000−3i−3i3i3i1-100−3i3ii2i2i2i2ζ10−2ζ14+ζ26−2ζ46−2ζ10+ζ14−2ζ26+ζ46ζ10−2ζ14+ζ26−2ζ46−2ζ10+ζ14−2ζ26+ζ46−i2−i2−i2−i2−ζ10+2ζ14−ζ26+2ζ462ζ10−ζ14+2ζ26−ζ46−ζ10+2ζ14−ζ26+2ζ462ζ10−ζ14+2ζ26−ζ460000000000000000000000
χ51444-2-2-4-4-2-2001-2-21022-1-1222i22i2−2i2−2i200003i3i−3i−3i1-1003i−3i−i2−i2−i2−i22ζ10−ζ14+2ζ26−ζ46−ζ10+2ζ14−ζ26+2ζ462ζ10−ζ14+2ζ26−ζ46−ζ10+2ζ14−ζ26+2ζ46i2i2i2i2−2ζ10+ζ14−2ζ26+ζ46ζ10−2ζ14+ζ26−2ζ46−2ζ10+ζ14−2ζ26+ζ46ζ10−2ζ14+ζ26−2ζ460000000000000000000000
χ52444-2-2-4-4-2-2001-2-21022-1-1222i22i2−2i2−2i20000−3i−3i3i3i1-100−3i3i−i2−i2−i2−i2−ζ10+2ζ14−ζ26+2ζ462ζ10−ζ14+2ζ26−ζ46−ζ10+2ζ14−ζ26+2ζ462ζ10−ζ14+2ζ26−ζ46i2i2i2i2ζ10−2ζ14+ζ26−2ζ46−2ζ10+ζ14−2ζ26+ζ46ζ10−2ζ14+ζ26−2ζ46−2ζ10+ζ14−2ζ26+ζ460000000000000000000000
χ5344-44-24-44-244-2-42-2-44-2-2-2-42000044-2-2-2-2-2-222-422200000000000000000000000000000000000000
χ5444-44-2-444-200-2-42-20-42224-222−22−2222000000002-2000022−22−22−2−222−22222−222−2−20000000000000000000000
χ5544-44-2-444-200-2-42-20-42224-2−222222−22000000002-20000−22222−222−2−222−22−22−2−2220000000000000000000000
χ5644-4-244-4-2444-22-4-2-4-24-2-22-40000-2-244-2-2-2-2222-42200000000000000000000000000000000000000
χ5744-4-24-44-2400-22-4-202-422-2422−22−2222000000002-20000−2222−22−2−2222−2−222222−2−20000000000000000000000
χ5844-4-24-44-2400-22-4-202-422-24−222222−22000000002-200002−2−222222−2−2−2222−22−2−2220000000000000000000000
χ5944-4-2-24-4-2-2441221-4-2-211220000-2-2-2-21111-1-122-1-100003-3-3300003-3-330000000000000000000000
χ6044-4-2-24-4-2-2441221-4-2-211220000-2-2-2-21111-1-122-1-10000-333-30000-333-30000000000000000000000
χ6144-4-2-24-4-2-2-4-412214-2-211224i−4i4i−4i2222-1-1-1-1-1-1-2-211−2i2i−2i2iii−i−i−2i2i−2i2iii−i−i0000000000000000000000
χ6244-4-2-24-4-2-2-4-412214-2-21122−4i4i−4i4i2222-1-1-1-1-1-1-2-2112i−2i2i−2i−i−iii2i−2i2i−2i−i−iii0000000000000000000000
χ6344-4-2-2-44-2-2001221022-1-1-2-222−22−222200003i3i−3i−3i-1100−3i3i−22−22−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ462−22−22ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ460000000000000000000000
χ6444-4-2-2-44-2-2001221022-1-1-2-222−22−22220000−3i−3i3i3i-11003i−3i−22−22ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ462−22−2−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ460000000000000000000000
χ6544-4-2-2-44-2-2001221022-1-1-2-2−222222−2200003i3i−3i−3i-1100−3i3i2−22−22ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ46−22−22−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ460000000000000000000000
χ6644-4-2-2-44-2-2001221022-1-1-2-2−222222−220000−3i−3i3i3i-11003i−3i2−22−2−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46−22−22ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ460000000000000000000000
χ674-404400-4-422−22400-40000000000022−2222−2222−2222−2200000000000000000000002ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47000000000000000000
χ684-404400-4-422−22400-40000000000022−2222−2222−2222−220000000000000000000000−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47000000000000000000
χ694-404400-4-4−2222400-400000000000−2222−2222−2222−22220000000000000000000000−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43000000000000000000
χ704-404400-4-4−2222400-400000000000−2222−2222−2222−222200000000000000000000002ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ43000000000000000000
χ718-808-400-8442−42-40040000000000042−42−2222−2222−222200000000000000000000000000000000000000000000
χ728-808-400-84−4242-400400000000000−424222−2222−2222−2200000000000000000000000000000000000000000000
χ738-80-48004-842−42-400400000000000−222242−42−2222−222200000000000000000000000000000000000000000000
χ748-80-48004-8−4242-40040000000000022−22−424222−2222−2200000000000000000000000000000000000000000000
χ758-80-4-4004442−42200-20006i−6i000000−2222−2222−4ζ10−2ζ14−4ζ26−2ζ464ζ10+2ζ14+4ζ26+2ζ462ζ10+4ζ14+2ζ26+4ζ46−2ζ10−4ζ14−2ζ26−4ζ4600000000000000000000000000000000000000000000
χ768-80-4-4004442−42200-2000−6i6i000000−2222−22222ζ10+4ζ14+2ζ26+4ζ46−2ζ10−4ζ14−2ζ26−4ζ46−4ζ10−2ζ14−4ζ26−2ζ464ζ10+2ζ14+4ζ26+2ζ4600000000000000000000000000000000000000000000
χ778-80-4-40044−4242200-20006i−6i00000022−2222−224ζ10+2ζ14+4ζ26+2ζ46−4ζ10−2ζ14−4ζ26−2ζ46−2ζ10−4ζ14−2ζ26−4ζ462ζ10+4ζ14+2ζ26+4ζ4600000000000000000000000000000000000000000000
χ788-80-4-40044−4242200-2000−6i6i00000022−2222−22−2ζ10−4ζ14−2ζ26−4ζ462ζ10+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.