Finite Group Databasebeta

← Group #11771214

Character table — Group #11771214

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size111122888888889999121212121212121218181818181824242424242424243636363636363636363672727272
order124424366612121212224444444444244444121212121212121244888888888888
χ1111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ4111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ51111-1-111-1-111-1-11111iiii−i−i−i−i-1-1-1-1-1-1iiii−i−i−i−i11iiii−i−i−i−i11-1-1
χ61111-1-111-1-111-1-11111iiii−i−i−i−i-1-1-1-1-1-1iiii−i−i−i−i11−i−i−i−iiiii-1-111
χ71111-1-111-1-111-1-11111−i−i−i−iiiii-1-1-1-1-1-1−i−i−i−iiiii11iiii−i−i−i−i-1-111
χ81111-1-111-1-111-1-11111−i−i−i−iiiii-1-1-1-1-1-1−i−i−i−iiiii11−i−i−i−iiiii11-1-1
χ911-1-11-11111-1-1-1-111-1-111-1-111-1-11-111-1-111-1-111-1-11-1ii−i−iii−i−ii−ii−i
χ1011-1-11-11111-1-1-1-111-1-111-1-111-1-11-111-1-111-1-111-1-11-1−i−iii−i−iii−ii−ii
χ1111-1-11-11111-1-1-1-111-1-1-1-111-1-1111-111-1-1-1-111-1-1111-1ii−i−iii−i−i−ii−ii
χ1211-1-11-11111-1-1-1-111-1-1-1-111-1-1111-111-1-1-1-111-1-1111-1−i−iii−i−iiii−ii−i
χ1311-1-1-1111-1-1-1-11111-1-1ii−i−i−i−iii-11-1-111ii−i−i−i−iii1-111-1-1-1-111−iii−i
χ1411-1-1-1111-1-1-1-11111-1-1ii−i−i−i−iii-11-1-111ii−i−i−i−iii1-1-1-11111-1-1i−i−ii
χ1511-1-1-1111-1-1-1-11111-1-1−i−iiiii−i−i-11-1-111−i−iiiii−i−i1-111-1-1-1-111i−i−ii
χ1611-1-1-1111-1-1-1-11111-1-1−i−iiiii−i−i-11-1-111−i−iiiii−i−i1-1-1-11111-1-1−iii−i
χ172222222222222222220000000022-2-2-2-200000000-2-2000000000000
χ1822222222222222-2-2-2-200000000-2-200000000000000i2−i2i2−i2i2−i2i2−i20000
χ1922222222222222-2-2-2-200000000-2-200000000000000−i2i2−i2i2−i2i2−i2i20000
χ202222-2-222-2-222-2-2222200000000-2-2222200000000-2-2000000000000
χ212222-2-222-2-222-2-2-2-2-2-20000000022000000000000002−22−2−22−220000
χ222222-2-222-2-222-2-2-2-2-2-2000000002200000000000000−22−222−22−20000
χ2322-2-22-22222-2-2-2-222-2-2000000002-2-2-22200000000-22000000000000
χ2422-2-22-22222-2-2-2-2-2-22200000000-22000000000000002−2−222−2−220000
χ2522-2-22-22222-2-2-2-2-2-22200000000-2200000000000000−222−2−222−20000
χ2622-2-2-2222-2-2-2-22222-2-200000000-2222-2-200000000-22000000000000
χ2722-2-2-2222-2-2-2-222-2-222000000002-200000000000000i2−i2−i2i2−i2i2i2−i20000
χ2822-2-2-2222-2-2-2-222-2-222000000002-200000000000000−i2i2i2−i2i2−i2−i2i20000
χ292-22i−2i002-2002i−2i002-22i−2i1+i−1−i1−i−1+i1−i−1+i1+i−1−i002i−2i2-21+i−1−i1−i−1+i1−i−1+i1+i−1−i00000000000000
χ302-22i−2i002-2002i−2i002-22i−2i1−i−1+i−1−i1+i1+i−1−i−1+i1−i00−2i2i-221−i−1+i−1−i1+i1+i−1−i−1+i1−i00000000000000
χ312-22i−2i002-2002i−2i002-22i−2i−1+i1−i1+i−1−i−1−i1+i1−i−1+i00−2i2i-22−1+i1−i1+i−1−i−1−i1+i1−i−1+i00000000000000
χ322-22i−2i002-2002i−2i002-22i−2i−1−i1+i−1+i1−i−1+i1−i−1−i1+i002i−2i2-2−1−i1+i−1+i1−i−1+i1−i−1−i1+i00000000000000
χ332-2−2i2i002-200−2i2i002-2−2i2i1+i−1−i−1+i1−i1−i−1+i−1−i1+i002i−2i-221+i−1−i−1+i1−i1−i−1+i−1−i1+i00000000000000
χ342-2−2i2i002-200−2i2i002-2−2i2i1−i−1+i1+i−1−i1+i−1−i1−i−1+i00−2i2i2-21−i−1+i1+i−1−i1+i−1−i1−i−1+i00000000000000
χ352-2−2i2i002-200−2i2i002-2−2i2i−1+i1−i−1−i1+i−1−i1+i−1+i1−i00−2i2i2-2−1+i1−i−1−i1+i−1−i1+i−1+i1−i00000000000000
χ362-2−2i2i002-200−2i2i002-2−2i2i−1−i1+i1−i−1+i−1+i1−i1+i−1−i002i−2i-22−1−i1+i1−i−1+i−1+i1−i1+i−1−i00000000000000
χ374-44i−4i004-4004i−4i00-44−4i4i000000000000000000000000000000000000
χ384-4−4i4i004-400−4i4i00-444i−4i000000000000000000000000000000000000
χ39888888-1-1-1-1-1-1-1-1000022222222000000-1-1-1-1-1-1-1-100000000000000
χ40888888-1-1-1-1-1-1-1-10000-2-2-2-2-2-2-2-20000001111111100000000000000
χ418888-8-8-1-111-1-11100002i2i2i2i−2i−2i−2i−2i000000−i−i−i−iiiii00000000000000
χ428888-8-8-1-111-1-1110000−2i−2i−2i−2i2i2i2i2i000000iiii−i−i−i−i00000000000000
χ4388-8-88-8-1-1-1-11111000022-2-222-2-2000000-1-111-1-11100000000000000
χ4488-8-88-8-1-1-1-111110000-2-222-2-22200000011-1-111-1-100000000000000
χ4588-8-8-88-1-11111-1-100002i2i−2i−2i−2i−2i2i2i000000−i−iiiii−i−i00000000000000
χ4688-8-8-88-1-11111-1-10000−2i−2i2i2i2i2i−2i−2i000000ii−i−i−i−iii00000000000000
χ478-88i−8i00-113-3−ii3i−3i00002-2−2i2i2-22i−2i000000-11i−i-11−ii00000000000000
χ488-88i−8i00-113-3−ii3i−3i0000-222i−2i-22−2i2i0000001-1−ii1-1i−i00000000000000
χ498-88i−8i00-11-33−ii−3i3i00002i−2i2-2−2i2i2-2000000−ii-11i−i-1100000000000000
χ508-88i−8i00-11-33−ii−3i3i0000−2i2i-222i−2i-22000000i−i1-1−ii1-100000000000000
χ518-8−8i8i00-113-3i−i−3i3i00002-22i−2i2-2−2i2i000000-11−ii-11i−i00000000000000
χ528-8−8i8i00-113-3i−i−3i3i0000-22−2i2i-222i−2i0000001-1i−i1-1−ii00000000000000
χ538-8−8i8i00-11-33i−i3i−3i00002i−2i-22−2i2i-22000000−ii1-1i−i1-100000000000000
χ548-8−8i8i00-11-33i−i3i−3i0000−2i2i2-22i−2i2-2000000i−i-11−ii-1100000000000000

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