Finite Group Databasebeta

← Group #88949

Character table — Group #88949

Order 432.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size11222222333333444444666666666666889999991212121212121818181818182727
order123336664444443336661212121212121212121212123622222212121212121266666644
χ1111111111111111111111111111111111111111111111111111111
χ2111111111111-1-111111111111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1
χ31111111111-1-1111111111111-1-1-1-1111111-1-111-1-111-1-111-1-111-1-1-1-1
χ41111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ511111111-1-11111111111-1-1-1-11111111111-1-1-1-111-1-11111-1-1-1-111-1-1
χ611111111-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-1-1-111-1-111
χ711111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ811111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1
χ91-1111-1-1-1i−ii−ii−i111-1-1-1ii−i−iii−i−iii−i−i1-11-11-11-1i−ii−ii−i1-11-11-1i−i
χ101-1111-1-1-1i−ii−i−ii111-1-1-1ii−i−iii−i−i−i−iii1-11-1-11-11i−ii−i−ii1-1-11-11−ii
χ111-1111-1-1-1i−i−iii−i111-1-1-1ii−i−i−i−iiiii−i−i1-1-111-1-11i−i−iii−i-111-1-11−ii
χ121-1111-1-1-1i−i−ii−ii111-1-1-1ii−i−i−i−iii−i−iii1-1-11-111-1i−i−ii−ii-11-111-1i−i
χ131-1111-1-1-1−iii−ii−i111-1-1-1−i−iiiii−i−iii−i−i1-1-11-111-1−iii−ii−i-11-111-1−ii
χ141-1111-1-1-1−iii−i−ii111-1-1-1−i−iiiii−i−i−i−iii1-1-111-1-11−iii−i−ii-111-1-11i−i
χ151-1111-1-1-1−ii−iii−i111-1-1-1−i−iii−i−iiiii−i−i1-11-1-11-11−ii−iii−i1-1-11-11i−i
χ161-1111-1-1-1−ii−ii−ii111-1-1-1−i−iii−i−iii−i−iii1-11-11-11-1−ii−ii−ii1-11-11-1−ii
χ172222-122-10022222-1-12-1-100002-12-12-12-1-1-100002200-1-1-1-10000-1-100
χ182222-122-10022-2-22-1-12-1-100002-12-1-21-21-1-10000-2-200-1-11100001100
χ192222-122-100-2-2222-1-12-1-10000-21-212-12-1-1-10000-2-20011-1-100001100
χ202222-122-100-2-2-2-22-1-12-1-10000-21-21-21-21-1-10000220011110000-1-100
χ21222-122-12220022-12-1-12-12-12-10000-12-12-1-1002200-1-100-1-100-1-10000
χ22222-122-122200-2-2-12-1-12-12-12-100001-21-2-1-100-2-200-1-1001100110000
χ23222-122-12-2-20022-12-1-12-1-21-210000-12-12-1-100-2-2001100-1-100110000
χ24222-122-12-2-200-2-2-12-1-12-1-21-2100001-21-2-1-100220011001100-1-10000
χ2522-122-122222200-1-12-1-12-12-12-12-120000-1-1220000-1-1-1-100-1-1000000
χ2622-122-12222-2-200-1-12-1-12-12-121-21-20000-1-1-2-20000-1-1110011000000
χ2722-122-122-2-22200-1-12-1-121-21-2-12-120000-1-1-2-2000011-1-10011000000
χ2822-122-122-2-2-2-200-1-12-1-121-21-21-21-20000-1-1220000111100-1-1000000
χ292-222-1-2-21002i−2i2i−2i2-1-1-21100002i−i−2ii2i−i−2ii-1100002-200−ii−ii0000-1100
χ302-222-1-2-21002i−2i−2i2i2-1-1-21100002i−i−2ii−2ii2i−i-110000-2200−iii−i00001-100
χ312-222-1-2-2100−2i2i2i−2i2-1-1-2110000−2ii2i−i2i−i−2ii-110000-2200i−i−ii00001-100
χ322-222-1-2-2100−2i2i−2i2i2-1-1-2110000−2ii2i−i−2ii2i−i-1100002-200i−ii−i0000-1100
χ332-22-12-21-22i−2i002i−2i-12-11-212i−i−2ii0000−i2ii−2i-11002-200−ii00−ii00-110000
χ342-22-12-21-22i−2i00−2i2i-12-11-212i−i−2ii0000i−2i−i2i-1100-2200−ii00i−i001-10000
χ352-22-12-21-2−2i2i002i−2i-12-11-21−2ii2i−i0000−i2ii−2i-1100-2200i−i00−ii001-10000
χ362-22-12-21-2−2i2i00−2i2i-12-11-21−2ii2i−i0000i−2i−i2i-11002-200i−i00i−i00-110000
χ372-2-1221-2-22i−2i2i−2i00-1-1211-2−i2ii−2i−i2ii−2i0000-112-20000−ii−ii00-11000000
χ382-2-1221-2-22i−2i−2i2i00-1-1211-2−i2ii−2ii−2i−i2i0000-11-220000−iii−i001-1000000
χ392-2-1221-2-2−2i2i2i−2i00-1-1211-2i−2i−i2i−i2ii−2i0000-11-220000i−i−ii001-1000000
χ402-2-1221-2-2−2i2i−2i2i00-1-1211-2i−2i−i2ii−2i−i2i0000-112-20000i−ii−i00-11000000
χ41444-2-24-2-2000044-2-21-2-2100000000-2-2-2-21100000000001100000000
χ42444-2-24-2-20000-4-4-2-21-2-21000000002222110000000000-1-100000000
χ4344-24-2-24-2004400-21-2-21-20000-2-2-2-200001100000000110000000000
χ4444-24-2-24-200-4-400-21-2-21-20000222200001100000000-1-10000000000
χ4544-2-24-2-244400001-2-21-2-2-2-2-2-2000000001100000011000000000000
χ4644-2-24-2-24-4-400001-2-21-2-222220000000011000000-1-1000000000000
χ474-44-2-2-42200004i−4i-2-2122-100000000−2i−2i2i2i1-10000000000i−i00000000
χ484-44-2-2-4220000−4i4i-2-2122-1000000002i2i−2i−2i1-10000000000−ii00000000
χ494-4-24-22-42004i−4i00-21-22-120000−2i−2i2i2i00001-100000000i−i0000000000
χ504-4-24-22-4200−4i4i00-21-22-1200002i2i−2i−2i00001-100000000−ii0000000000
χ514-4-2-2422-44i−4i00001-2-2-122−2i−2i2i2i000000001-1000000i−i000000000000
χ524-4-2-2422-4−4i4i00001-2-2-1222i2i−2i−2i000000001-1000000−ii000000000000
χ5388-4-4-4-4-4-4000000222222000000000000-1-100000000000000000000
χ548-8-4-4-4444000000222-2-2-2000000000000-1100000000000000000000

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