Finite Group Databasebeta

← Group #11772447

Character table — Group #11772447

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size111122448888888888888888181818181818181836363636363636367272727272727272
order12442488366612121212242424242424242422448888161616161616161644444444
χ1111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1ii−i−iii−i−i
χ6111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−i−iii−i−iii
χ7111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111ii−i−i−i−iii
χ8111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111−i−iiiii−i−i
χ911-1-1-111-11-1-11-1-1111111-1-1-1-11-11-111-1-1ii−i−iii−i−i1-11-1i−ii−i
χ1011-1-1-111-11-1-11-1-1111111-1-1-1-11-11-111-1-1ii−i−iii−i−i-11-11−ii−ii
χ1111-1-1-111-11-1-11-1-1111111-1-1-1-11-11-111-1-1−i−iii−i−iii1-11-1−ii−ii
χ1211-1-1-111-11-1-11-1-1111111-1-1-1-11-11-111-1-1−i−iii−i−iii-11-11i−ii−i
χ1311-1-1-11-111-1-11-1-111-1-1-1-11111-11-1111-1-1ii−i−i−i−iiii−i−ii-111-1
χ1411-1-1-11-111-1-11-1-111-1-1-1-11111-11-1111-1-1ii−i−i−i−iii−iii−i1-1-11
χ1511-1-1-11-111-1-11-1-111-1-1-1-11111-11-1111-1-1−i−iiiii−i−ii−i−ii1-1-11
χ1611-1-1-11-111-1-11-1-111-1-1-1-11111-11-1111-1-1−i−iiiii−i−i−iii−i-111-1
χ17222222222222222222222222-2-2-2-2-2-2-2-20000000000000000
χ18222222-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-20000000000000000
χ192222-2-2002-2-2222-2-2000000002-2-220000i2−i2i2−i2i2−i2i2−i200000000
χ202222-2-2002-2-2222-2-2000000002-2-220000−i2i2−i2i2−i2i2−i2i200000000
χ212222-2-2002-2-2222-2-200000000-222-20000i2−i2i2−i2−i2i2−i2i200000000
χ222222-2-2002-2-2222-2-200000000-222-20000−i2i2−i2i2i2−i2i2−i200000000
χ2322-2-22-2002222-2-2-2-20000000022-2-200002−2−222−2−2200000000
χ2422-2-22-2002222-2-2-2-20000000022-2-20000−222−2−222−200000000
χ2522-2-22-2002222-2-2-2-200000000-2-22200002−2−22−222−200000000
χ2622-2-22-2002222-2-2-2-200000000-2-2220000−222−22−2−2200000000
χ2722-2-2-222-22-2-22-2-2222222-2-2-2-2-22-22-2-2220000000000000000
χ2822-2-2-22-222-2-22-2-222-2-2-2-222222-22-2-2-2220000000000000000
χ294-44i−4i0000400-44i−4i000000000000002i2−2i222−220000000000000000
χ304-44i−4i0000400-44i−4i00000000000000−2i22i2−22220000000000000000
χ314-4−4i4i0000400-4−4i4i000000000000002i2−2i2−22220000000000000000
χ324-4−4i4i0000400-4−4i4i00000000000000−2i22i222−220000000000000000
χ3388888888-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ34888888-8-8-1-1-1-1-1-1-1-111111111000000000000000000000000
χ358888-8-800-111-1-1-1113i3i−3i−3i3i3i−3i−3i000000000000000000000000
χ368888-8-800-111-1-1-111−3i−3i3i3i−3i−3i3i3i000000000000000000000000
χ3788-8-88-800-1-1-1-111113i3i−3i−3i−3i−3i3i3i000000000000000000000000
χ3888-8-88-800-1-1-1-11111−3i−3i3i3i3i3i−3i−3i000000000000000000000000
χ3988-8-8-888-8-111-111-1-1-1-1-1-11111000000000000000000000000
χ4088-8-8-88-88-111-111-1-11111-1-1-1-1000000000000000000000000
χ418-88i−8i0000-13-31−ii3i−3i3ζ−3ζ3ζ3−3ζ33ζ3−3ζ33ζ−3ζ000000000000000000000000
χ428-88i−8i0000-13-31−ii3i−3i−3ζ3ζ−3ζ33ζ3−3ζ33ζ3−3ζ3ζ000000000000000000000000
χ438-88i−8i0000-1-331−ii−3i3i3ζ3−3ζ33ζ−3ζ−3ζ3ζ−3ζ33ζ3000000000000000000000000
χ448-88i−8i0000-1-331−ii−3i3i−3ζ33ζ3−3ζ3ζ3ζ−3ζ3ζ3−3ζ3000000000000000000000000
χ458-8−8i8i0000-13-31i−i−3i3i3ζ3−3ζ33ζ−3ζ3ζ−3ζ3ζ3−3ζ3000000000000000000000000
χ468-8−8i8i0000-13-31i−i−3i3i−3ζ33ζ3−3ζ3ζ−3ζ3ζ−3ζ33ζ3000000000000000000000000
χ478-8−8i8i0000-1-331i−i3i−3i3ζ−3ζ3ζ3−3ζ3−3ζ33ζ3−3ζ3ζ000000000000000000000000
χ488-8−8i8i0000-1-331i−i3i−3i−3ζ3ζ−3ζ33ζ33ζ3−3ζ33ζ−3ζ000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.