Finite Group Databasebeta

← Group #11796554

Character table — Group #11796554

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11222224444444888888888881616161616161616161618182424242424242424242424243636364848484848487272
order12233663444666688121212121212121212122424242424242424442244888812121212222662424242488
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111
χ311111111111111111111111111111111111-1-11-11-111-1-111-1-1-1-1-11-111-1-1-1-1
χ411111111111111111111111111111111111-1-1-11-11-1-111-1-111-1-1-1-11-1-111-1-1
χ5111111111111111-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111-1-1-1-1-1-1
χ6111111111111111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111-1-11111-1-1
χ7111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-11-11-1-1-11111-1-1-1-1-11-1-1-11111
χ8111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-111-1-1-1-1111-1-111
χ9111111111-1-11111i−i11-1-1-1-1-1-11-1iiii−i−i−i−i1111-1-1i−ii−i-1-1-1-11-1-111i−ii−ii−i
χ10111111111-1-11111i−i11-1-1-1-1-1-11-1iiii−i−i−i−i11-1-111−ii−ii11111-1-1-1-1−ii−iii−i
χ11111111111-1-11111i−i11-1-1-1-1-1-11-1iiii−i−i−i−i-1-11-1-11i−i−ii-1-111-1111-1i−i−ii−ii
χ12111111111-1-11111i−i11-1-1-1-1-1-11-1iiii−i−i−i−i-1-1-111-1−iii−i11-1-1-111-11−iii−i−ii
χ13111111111-1-11111−ii11-1-1-1-1-1-11-1−i−i−i−iiiii1111-1-1−ii−ii-1-1-1-11-1-111−ii−ii−ii
χ14111111111-1-11111−ii11-1-1-1-1-1-11-1−i−i−i−iiiii11-1-111i−ii−i11111-1-1-1-1i−ii−i−ii
χ15111111111-1-11111−ii11-1-1-1-1-1-11-1−i−i−i−iiiii-1-11-1-11−iii−i-1-111-1111-1−iii−ii−i
χ16111111111-1-11111−ii11-1-1-1-1-1-11-1−i−i−i−iiiii-1-1-111-1i−i−ii11-1-1-111-11i−i−iii−i
χ1722222222-22-2222200-2-2-2-2-2-222-220000000022000000000000-22-200000000
χ1822222222-22-2222200-2-2-2-2-2-222-2200000000-2-20000000000002-2200000000
χ1922222222-2-22222200-2-22222-2-2-2-20000000022000000000000-2-2200000000
χ2022222222-2-22222200-2-22222-2-2-2-200000000-2-200000000000022-200000000
χ212222-12-1-12222-1-1-1222-12-1-1-12-1-1-12-1-1-12-1-1-1000202002200-1-10000-100-1-100
χ222222-12-1-12222-1-1-1222-12-1-1-12-1-1-12-1-1-12-1-1-1000-20-200-2-2001100001001100
χ232222-12-1-12222-1-1-1-2-22-12-1-1-12-1-1-1-2111-211100020200-2-200-1-10000-1001100
χ242222-12-1-12222-1-1-1-2-22-12-1-1-12-1-1-1-2111-2111000-20-2002200110000100-1-100
χ252222-12-1-12-2-22-1-1-12i−2i2-1-2111-21-112i−i−i−i−2iiii00020-2002i−2i00110000-100−ii00
χ262222-12-1-12-2-22-1-1-12i−2i2-1-2111-21-112i−i−i−i−2iiii000-20200−2i2i00-1-10000100i−i00
χ272222-12-1-12-2-22-1-1-1−2i2i2-1-2111-21-11−2iiii2i−i−i−i00020-200−2i2i00110000-100i−i00
χ282222-12-1-12-2-22-1-1-1−2i2i2-1-2111-21-11−2iiii2i−i−i−i000-202002i−2i00-1-10000100−ii00
χ29222-12-12-1222-12-1-122-12-12-1-1-12-1-1-12-1-1-12-1-10020202200-1-100000-10-1-10000
χ30222-12-12-1222-12-1-122-12-12-1-1-12-1-1-12-1-1-12-1-100-20-20-2-200110000010110000
χ31222-12-12-1222-12-1-1-2-2-12-12-1-1-12-1-11-2111-211002020-2-200-1-100000-10110000
χ32222-12-12-1222-12-1-1-2-2-12-12-1-1-12-1-11-2111-21100-20-202200110000010-1-10000
χ33222-12-12-12-2-2-12-1-12i−2i-121-2111-2-11−i2i−i−ii−2iii0020-202i−2i001100000-10−ii0000
χ34222-12-12-12-2-2-12-1-12i−2i-121-2111-2-11−i2i−i−ii−2iii00-2020−2i2i00-1-10000010i−i0000
χ35222-12-12-12-2-2-12-1-1−2i2i-121-2111-2-11i−2iii−i2i−i−i0020-20−2i2i001100000-10i−i0000
χ36222-12-12-12-2-2-12-1-1−2i2i-121-2111-2-11i−2iii−i2i−i−i00-20202i−2i00-1-10000010−ii0000
χ374444-24-2-2-44-44-2-2-200-42-42224-22-2000000000000000000000000000000000
χ384444-24-2-2-4-444-2-2-200-424-2-2-2-4222000000000000000000000000000000000
χ39444-24-24-2-44-4-24-2-2002-42-422-242-2000000000000000000000000000000000
χ40444-24-24-2-4-44-24-2-2002-4-24-2-22-422000000000000000000000000000000000
χ41444-2-2-2-21444-2-21144-2-2-2-211-2-211-2-211-2-2110000000000000000000000000
χ42444-2-2-2-21444-2-211-4-4-2-2-2-211-2-21122-1-122-1-10000000000000000000000000
χ43444-2-2-2-214-4-4-2-2114i−4i-2-222-1-1221-1−2i−2iii2i2i−i−i0000000000000000000000000
χ44444-2-2-2-214-4-4-2-211−4i4i-2-222-1-1221-12i2i−i−i−2i−2iii0000000000000000000000000
χ45444-2-2-2-21-44-4-2-211002222-1-1-2-2-11003i−3i003i−3i0000000000000000000000000
χ46444-2-2-2-21-44-4-2-211002222-1-1-2-2-1100−3i3i00−3i3i0000000000000000000000000
χ47444-2-2-2-21-4-44-2-2110022-2-21122-1-1003-300-330000000000000000000000000
χ48444-2-2-2-21-4-44-2-2110022-2-21122-1-100-33003-30000000000000000000000000
χ4944-444444000-4-44-4000000000000000000004-400000000000000000000000
χ5044-444444000-4-44-400000000000000000000-4400000000000000000000000
χ5188-88-48-4-4000-84-44000000000000000000000000000000000000000000000
χ5288-8-48-48-40004-8-44000000000000000000000000000000000000000000000
χ5388-8-4-4-4-42000442-20000006-60000000000000000000000000000000000000
χ5488-8-4-4-4-42000442-2000000-660000000000000000000000000000000000000
χ558-8088-8-8800000-80000000000000000000000000000000000000000000000
χ568-808-4-84-400000400000000000000000000000000000000023−2300000000000
χ578-808-4-84-4000004000000000000000000000000000000000−232300000000000
χ588-80-484-8-4000004000000000000000000000000000000023−230000000000000
χ598-80-484-8-40000040000000000000000000000000000000−23230000000000000
χ6016-160-8-888400000-40000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).