Finite Group Databasebeta

← Group #11772545

Character table — Group #11772545

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size1111228888888818181818181818182424242424242424242424243636363636363636363672727272
order12442436661212121222448888888824242424242424248816161616161616164444
χ1111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ51111-1-11-1-11-1-1111-1-11-1-1-1-111-1-11111-1-1-1-111iiii−i−i−i−iii−i−i
χ61111-1-11-1-11-1-1111-1-11-1-1-1-111-1-11111-1-1-1-111−i−i−i−iiiii−i−iii
χ71111-1-11-1-11-1-1111-1-11-1-1-1-1-1-111-1-1-1-1111111iiii−i−i−i−i−i−iii
χ81111-1-11-1-11-1-1111-1-11-1-1-1-1-1-111-1-1-1-1111111−i−i−i−iiiiiii−i−i
χ911-1-11-11111-1-1-1-1-1-111-1-111i−ii−iii−i−iii−i−i1-111-1-111-1-1i−ii−i
χ1011-1-11-11111-1-1-1-1-1-111-1-111i−ii−iii−i−iii−i−i1-1-1-111-1-111−ii−ii
χ1111-1-11-11111-1-1-1-1-1-111-1-111−ii−ii−i−iii−i−iii1-111-1-111-1-1−ii−ii
χ1211-1-11-11111-1-1-1-1-1-111-1-111−ii−ii−i−iii−i−iii1-1-1-111-1-111i−ii−i
χ1311-1-1-111-1-1111-1-1-11-1111-1-1i−i−iiii−i−i−i−iii1-1ii−i−i−i−iii-111-1
χ1411-1-1-111-1-1111-1-1-11-1111-1-1i−i−iiii−i−i−i−iii1-1−i−iiiii−i−i1-1-11
χ1511-1-1-111-1-1111-1-1-11-1111-1-1−iii−i−i−iiiii−i−i1-1ii−i−i−i−iii1-1-11
χ1611-1-1-111-1-1111-1-1-11-1111-1-1−iii−i−i−iiiii−i−i1-1−i−iiiii−i−i-111-1
χ17222222222222222222-2-2-2-2000000000000-2-2000000000000
χ1822222222222222-2-2-2-2000000000000000000−i2i2−i2i2−i2i2−i2i20000
χ1922222222222222-2-2-2-2000000000000000000i2−i2i2−i2i2−i2i2−i20000
χ202222-2-22-2-22-2-2222-2-222222000000000000-2-2000000000000
χ212222-2-22-2-22-2-222-222-20000000000000000002−22−2−22−220000
χ222222-2-22-2-22-2-222-222-2000000000000000000−22−222−22−20000
χ2322-2-22-22222-2-2-2-222-2-2000000000000000000−i2i2i2−i2−i2i2i2−i20000
χ2422-2-22-22222-2-2-2-222-2-2000000000000000000i2−i2−i2i2i2−i2−i2i20000
χ2522-2-22-22222-2-2-2-2-2-22222-2-2000000000000-22000000000000
χ2622-2-2-222-2-2222-2-22-22-20000000000000000002−2−22−222−20000
χ2722-2-2-222-2-2222-2-22-22-2000000000000000000−222−22−2−220000
χ2822-2-2-222-2-2222-2-2-22-22-2-222000000000000-22000000000000
χ294-44i−4i00400-4004i−4i0000−2i22i222−2200000000000000000000000000
χ304-44i−4i00400-4004i−4i00002i2−2i2−222200000000000000000000000000
χ314-4−4i4i00400-400−4i4i0000−2i22i2−222200000000000000000000000000
χ324-4−4i4i00400-400−4i4i00002i2−2i222−2200000000000000000000000000
χ33888888-1-1-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-100000000000000
χ34888888-1-1-1-1-1-1-1-100000000-2-2-2-21111111100000000000000
χ358888-8-8-111-111-1-10000000022-2-2-1-1-1-1111100000000000000
χ368888-8-8-111-111-1-100000000-2-2221111-1-1-1-100000000000000
χ3788-8-88-8-1-1-1-11111000000002i−2i2i−2i−i−iii−i−iii00000000000000
χ3888-8-88-8-1-1-1-1111100000000−2i2i−2i2iii−i−iii−i−i00000000000000
χ3988-8-8-88-111-1-1-111000000002i−2i−2i2i−i−iiiii−i−i00000000000000
χ4088-8-8-88-111-1-1-11100000000−2i2i2i−2iii−i−i−i−iii00000000000000
χ418-88i−8i00-13-313i−3i−ii000000000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300000000000000
χ428-88i−8i00-13-313i−3i−ii000000000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300000000000000
χ438-88i−8i00-1-331−3i3i−ii000000000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300000000000000
χ448-88i−8i00-1-331−3i3i−ii000000000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300000000000000
χ458-8−8i8i00-13-31−3i3ii−i000000000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300000000000000
χ468-8−8i8i00-13-31−3i3ii−i000000000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300000000000000
χ478-8−8i8i00-1-3313i−3ii−i000000000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300000000000000
χ488-8−8i8i00-1-3313i−3ii−i000000000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.