Finite Group Databasebeta

← Group #11797896

Character table — Group #11797896

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11112244444444448888888888881818181818181818242424242424242436363636363636364848484848484848
order1244243344661212121266121212121212121212128888888822448888161616161616161666121224242424
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-11-111-1-1-1-1-1-1-1-1-1-11-11-111-1-1
χ3111111111111111111111111111111111111-11-11-1-111-1-1-1-1-1-1-1-1-11-11-1-111
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ511111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-1-111-1-1-1-111111-11-1-1-111
χ711111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1111-1-1-1-1-1-11111-11-1111-1-1
χ811111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ911-1-1-1111i−i11-1-1-1-1-1-111iiii−i−i−i−iii−i−i11-1-111-1-1i−ii−i11-1-1ii−i−i11-1-1i−ii−i
χ1011-1-1-1111i−i11-1-1-1-1-1-111iiii−i−i−i−iii−i−i11-1-11-1-11i−i−ii-1-111−i−iii1-1-11i−i−ii
χ1111-1-1-1111i−i11-1-1-1-1-1-111iiii−i−i−i−iii−i−i11-1-1-111-1−iii−i-1-111−i−iii-111-1−iii−i
χ1211-1-1-1111i−i11-1-1-1-1-1-111iiii−i−i−i−iii−i−i11-1-1-1-111−ii−ii11-1-1ii−i−i-1-111−ii−ii
χ1311-1-1-1111−ii11-1-1-1-1-1-111−i−i−i−iiiii−i−iii11-1-111-1-1−ii−ii11-1-1−i−iii11-1-1−ii−ii
χ1411-1-1-1111−ii11-1-1-1-1-1-111−i−i−i−iiiii−i−iii11-1-11-1-11−iii−i-1-111ii−i−i1-1-11−iii−i
χ1511-1-1-1111−ii11-1-1-1-1-1-111−i−i−i−iiiii−i−iii11-1-1-111-1i−i−ii-1-111ii−i−i-111-1i−i−ii
χ1611-1-1-1111−ii11-1-1-1-1-1-111−i−i−i−iiiii−i−iii11-1-1-1-111i−ii−i11-1-1−i−iii-1-111i−ii−i
χ172222222222222222222222222222-2-2-2-2-2-2-2-2000000000000000000000000
χ1822222222-2-22222222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000000000000
χ192222-2-22200222222-2-2-2-2000000002-22-20000000000002−22−22−22−200000000
χ202222-2-22200222222-2-2-2-2000000002-22-2000000000000−22−22−22−2200000000
χ212222-2-22200222222-2-2-2-200000000-22-220000000000002−22−2−22−2200000000
χ222222-2-22200222222-2-2-2-200000000-22-22000000000000−22−222−22−200000000
χ2322-2-22-2220022-2-2-2-222-2-2000000002i−2i−2i2i0000000000002−2−22i2−i2−i2i200000000
χ2422-2-22-2220022-2-2-2-222-2-2000000002i−2i−2i2i000000000000−222−2−i2i2i2−i200000000
χ2522-2-22-2220022-2-2-2-222-2-200000000−2i2i2i−2i0000000000002−2−22−i2i2i2−i200000000
χ2622-2-22-2220022-2-2-2-222-2-200000000−2i2i2i−2i000000000000−222−2i2−i2−i2i200000000
χ2722-2-2-22222i−2i22-2-2-2-2-2-2222i2i2i2i−2i−2i−2i−2i−2i−2i2i2i-2-222000000000000000000000000
χ2822-2-2-2222−2i2i22-2-2-2-2-2-222−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i-2-222000000000000000000000000
χ294444441-2441-211-2-21-21-211-2-211-2-20000000002020022000000000-10-100-1-1
χ304444441-2441-211-2-21-21-211-2-211-2-2000000000-20-200-2-20000000001010011
χ314444441-2-4-41-211-2-21-21-2-1-122-1-12200000000020200-2-2000000000-10-10011
χ324444441-2-4-41-211-2-21-21-2-1-122-1-122000000000-20-2002200000000010100-1-1
χ33444444-2144-21-2-211-21-21-2-211-2-211000000002020220000000000-10-10-1-100
χ34444444-2144-21-2-211-21-21-2-211-2-21100000000-20-20-2-2000000000010101100
χ35444444-21-4-4-21-2-211-21-2122-1-122-1-1000000002020-2-20000000000-10-101100
χ36444444-21-4-4-21-2-211-21-2122-1-122-1-100000000-20-202200000000001010-1-100
χ3744-4-4-441-24i−4i1-2-1-122-121-2ii−2i−2i−i−i2i2i00000000020-2002i−2i000000000-10100−ii
χ3844-4-4-441-24i−4i1-2-1-122-121-2ii−2i−2i−i−i2i2i000000000-20200−2i2i00000000010-100i−i
χ3944-4-4-441-2−4i4i1-2-1-122-121-2−i−i2i2iii−2i−2i00000000020-200−2i2i000000000-10100i−i
χ4044-4-4-441-2−4i4i1-2-1-122-121-2−i−i2i2iii−2i−2i000000000-202002i−2i00000000010-100−ii
χ4144-4-4-44-214i−4i-2122-1-12-1-21−2i−2iii2i2i−i−i0000000020-202i−2i0000000000-1010−ii00
χ4244-4-4-44-214i−4i-2122-1-12-1-21−2i−2iii2i2i−i−i00000000-2020−2i2i000000000010-10i−i00
χ4344-4-4-44-21−4i4i-2122-1-12-1-212i2i−i−i−2i−2iii0000000020-20−2i2i0000000000-1010i−i00
χ4444-4-4-44-21−4i4i-2122-1-12-1-212i2i−i−i−2i−2iii00000000-20202i−2i000000000010-10−ii00
χ454-44i−4i004400-4-44i−4i4i−4i000000000000000022−222i2−2i2000000000000000000000000
χ464-44i−4i004400-4-44i−4i4i−4i0000000000000000−2222−2i22i2000000000000000000000000
χ474-4−4i4i004400-4-4−4i4i−4i4i000000000000000022−22−2i22i2000000000000000000000000
χ484-4−4i4i004400-4-4−4i4i−4i4i0000000000000000−22222i2−2i2000000000000000000000000
χ498888-8-82-4002-422-4-4-24-240000000000000000000000000000000000000000
χ508888-8-8-4200-42-4-4224-24-20000000000000000000000000000000000000000
χ5188-8-88-82-4002-4-2-2442-4-240000000000000000000000000000000000000000
χ5288-8-88-8-4200-4244-2-2-424-20000000000000000000000000000000000000000
χ538-88i−8i002-400-242i−2i−4i4i00003−3i−3+3i003+3i−3−3i0000000000000000000000000000000000
χ548-88i−8i002-400-242i−2i−4i4i0000−3+3i3−3i00−3−3i3+3i0000000000000000000000000000000000
χ558-88i−8i00-42004-2−4i4i2i−2i0000003+3i−3−3i003−3i−3+3i00000000000000000000000000000000
χ568-88i−8i00-42004-2−4i4i2i−2i000000−3−3i3+3i00−3+3i3−3i00000000000000000000000000000000
χ578-8−8i8i002-400-24−2i2i4i−4i00003+3i−3−3i003−3i−3+3i0000000000000000000000000000000000
χ588-8−8i8i002-400-24−2i2i4i−4i0000−3−3i3+3i00−3+3i3−3i0000000000000000000000000000000000
χ598-8−8i8i00-42004-24i−4i−2i2i0000003−3i−3+3i003+3i−3−3i00000000000000000000000000000000
χ608-8−8i8i00-42004-24i−4i−2i2i000000−3+3i3−3i00−3−3i3+3i00000000000000000000000000000000

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