Finite Group Databasebeta

← Group #11788928

Character table — Group #11788928

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1122244444444444444888888888812121212121212121818181824242424242424242424242436364848484872727272
order1224423346666661212121266661212121212128888888822444444242424242424242424121212128888
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ511111-111-11-1-1111-1-1111-1-1-11-111-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1
χ611111-111-11-1-1111-1-1111-1-1-11-111-1-11111-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-1-1-111
χ711111-111-11-1-1111-1-1111-1-1-11-111-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111-1-111
χ811111-111-11-1-1111-1-1111-1-1-11-111-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-111-1-111-1-1
χ9111-1-1111-1111111-1-1-1-11111-1-1-1-1-1-1ii−i−iii−i−i11-1-11-11-1ii−i−iii−i−i-111-11-1i−ii−i
χ10111-1-1111-1111111-1-1-1-11111-1-1-1-1-1-1ii−i−iii−i−i11-1-1-11-11ii−i−iii−i−i-11-11-11−ii−ii
χ11111-1-1111-1111111-1-1-1-11111-1-1-1-1-1-1−i−iii−i−iii11-1-11-11-1−i−iii−i−iii-111-11-1−ii−ii
χ12111-1-1111-1111111-1-1-1-11111-1-1-1-1-1-1−i−iii−i−iii11-1-1-11-11−i−iii−i−iii-11-11-11i−ii−i
χ13111-1-1-11111-1-111111-1-11-1-1-1-11-1-111ii−i−i−i−iii11-1-11-1-11ii−i−i−i−iii1-1-111-1i−i−ii
χ14111-1-1-11111-1-111111-1-11-1-1-1-11-1-111ii−i−i−i−iii11-1-1-111-1ii−i−i−i−iii1-11-1-11−iii−i
χ15111-1-1-11111-1-111111-1-11-1-1-1-11-1-111−i−iiiii−i−i11-1-11-1-11−i−iiiii−i−i1-1-111-1−iii−i
χ16111-1-1-11111-1-111111-1-11-1-1-1-11-1-111−i−iiiii−i−i11-1-1-111-1−i−iiiii−i−i1-11-1-11i−i−ii
χ172222222222222222222222222222200000000-2-2-2-2000000000000-2-200000000
χ1822222-222-22-2-2222-2-2222-2-2-22-222-2-200000000-2-2-2-20000000000002200000000
χ19222-2-2222-2222222-2-2-2-22222-2-2-2-2-2-200000000-2-2220000000000002-200000000
χ20222-2-2-22222-2-222222-2-22-2-2-2-22-2-22200000000-2-222000000000000-2200000000
χ2122-22-20220-2002-2200-2-2-2000202-20000002i−2i2i−2i2-22-2000000002i−2i2i−2i0000000000
χ2222-22-20220-2002-2200-2-2-2000202-2000000−2i2i−2i2i2-22-200000000−2i2i−2i2i0000000000
χ2322-22-20220-2002-2200-2-2-2000202-2002i−2i2i−2i0000-22-2200002i−2i2i−2i00000000000000
χ2422-22-20220-2002-2200-2-2-2000202-200−2i2i−2i2i0000-22-220000−2i2i−2i2i00000000000000
χ2522-2-220220-2002-220022-2000-20-220000002-2-222-2-22000000002-2-220000000000
χ2622-2-220220-2002-220022-2000-20-22000000-222-22-2-2200000000-222-20000000000
χ2722-2-220220-2002-220022-2000-20-22002-2-220000-222-200002-2-2200000000000000
χ2822-2-220220-2002-220022-2000-20-2200-222-20000-222-20000-222-200000000000000
χ294444441-241-2-2-211-2-2-2-2-211-2-2-2111100000000000022220000000000-1-1-1-10000
χ304444441-241-2-2-211-2-2-2-2-211-2-2-21111000000000000-2-2-2-2000000000011110000
χ31444444-214-2111-2-211111-2-2111-2-2-2-22222222200000000-1-1-1-1-1-1-1-10000000000
χ32444444-214-2111-2-211111-2-2111-2-2-2-2-2-2-2-2-2-2-2-200000000111111110000000000
χ3344444-41-2-4122-21122-2-2-2-1-12-2211-1-100000000000022-2-2000000000011-1-10000
χ3444444-41-2-4122-21122-2-2-2-1-12-2211-1-1000000000000-2-2220000000000-1-1110000
χ3544444-4-21-4-2-1-11-2-2-1-111122-11-1-2-2222222-2-2-2-200000000-1-1-1-111110000000000
χ3644444-4-21-4-2-1-11-2-2-1-111122-11-1-2-222-2-2-2-22222000000001111-1-1-1-10000000000
χ37444-4-441-2-41-2-2-2112222-211-222-1-1-1-10000000000002-22-20000000000-11-110000
χ38444-4-441-2-41-2-2-2112222-211-222-1-1-1-1000000000000-22-2200000000001-11-10000
χ39444-4-44-21-4-2111-2-2-1-1-1-11-2-21-1-122222i2i−2i−2i2i2i−2i−2i00000000−i−iii−i−iii0000000000
χ40444-4-44-21-4-2111-2-2-1-1-1-11-2-21-1-12222−2i−2i2i2i−2i−2i2i2i00000000ii−i−iii−i−i0000000000
χ41444-4-4-41-24122-211-2-222-2-1-122-2-1-1110000000000002-2-2200000000001-1-110000
χ42444-4-4-41-24122-211-2-222-2-1-122-2-1-111000000000000-222-20000000000-111-10000
χ43444-4-4-4-214-2-1-11-2-211-1-1122-1-1122-2-22i2i−2i−2i−2i−2i2i2i00000000−i−iiiii−i−i0000000000
χ44444-4-4-4-214-2-1-11-2-211-1-1122-1-1122-2-2−2i−2i2i2i2i2i−2i−2i00000000ii−i−i−i−iii0000000000
χ4544-44-40-21023312-2-3-3-1-1-100-313-22002i−2i2i−2i2i−2i2i−2i00000000−ii−ii−ii−ii0000000000
χ4644-44-40-21023312-2-3-3-1-1-100-313-2200−2i2i−2i2i−2i2i−2i2i00000000i−ii−ii−ii−i0000000000
χ4744-44-40-2102-3-312-233-1-1-10031-3-22002i−2i2i−2i−2i2i−2i2i00000000−ii−iii−ii−i0000000000
χ4844-44-40-2102-3-312-233-1-1-10031-3-2200−2i2i−2i2i2i−2i2i−2i00000000i−ii−i−ii−ii0000000000
χ4944-4-440-21023312-23311-100-3-1-32-2002-2-222-2-2200000000-111-1-111-10000000000
χ5044-4-440-21023312-23311-100-3-1-32-200-222-2-222-2000000001-1-111-1-110000000000
χ5144-4-440-2102-3-312-2-3-311-1003-132-2002-2-22-222-200000000-111-11-1-110000000000
χ5244-4-440-2102-3-312-2-3-311-1003-132-200-222-22-2-22000000001-1-11-111-10000000000
χ5388-88-802-40-200-4-2200444000-402-2000000000000000000000000000000000000
χ5488-8-8802-40-200-4-2200-4-4400040-22000000000000000000000000000000000000
χ558-800002-406004-6-243−43000000000023−230000000000000000000000000000000000
χ568-800002-406004-6-2−43430000000000−23230000000000000000000000000000000000
χ578-800002-40-6−4i34i346-200000−2i32i300000000000000000000000000000000000000000
χ588-800002-40-64i3−4i346-2000002i3−2i300000000000000000000000000000000000000000
χ598-80000880000-80-8000000000000000000000000000000000000000000000000
χ608-80000-4200−2i32i3-20423−236i−6i02i3−2i300000−23230000000000000000000000000000000000
χ618-80000-4200−2i32i3-204−2323−6i6i02i3−2i30000023−230000000000000000000000000000000000
χ628-80000-42002i3−2i3-20423−23−6i6i0−2i32i300000−23230000000000000000000000000000000000
χ638-80000-42002i3−2i3-204−23236i−6i0−2i32i30000023−230000000000000000000000000000000000

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