Finite Group Databasebeta

← Group #11772448

Character table — Group #11772448

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size1111228888888818181818181818182424242424242424242424243636363636363636363672727272
order12442436661212121222448888444412121212121212128816161616161616164444
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
χ51111-1-111-1-111-1-11-1-111111ii−i−iiiii−i−i−i−i-1-11111-1-1-1-1ii−i−i
χ61111-1-111-1-111-1-11-1-111111ii−i−iiiii−i−i−i−i-1-1-1-1-1-11111−i−iii
χ71111-1-111-1-111-1-11-1-111111−i−iii−i−i−i−iiiii-1-11111-1-1-1-1−i−iii
χ81111-1-111-1-111-1-11-1-111111−i−iii−i−i−i−iiiii-1-1-1-1-1-11111ii−i−i
χ911-1-11-11111-1-1-1-1-1-11111-1-11-11-111-1-111-1-11-1ii−i−iii−i−ii−ii−i
χ1011-1-11-11111-1-1-1-1-1-11111-1-11-11-111-1-111-1-11-1−i−iii−i−iii−ii−ii
χ1111-1-11-11111-1-1-1-1-1-11111-1-1-11-11-1-111-1-1111-1ii−i−iii−i−i−ii−ii
χ1211-1-11-11111-1-1-1-1-1-11111-1-1-11-11-1-111-1-1111-1−i−iii−i−iiii−ii−i
χ1311-1-1-1111-1-1-1-111-11-1111-1-1i−i−iiii−i−i−i−iii-11ii−i−i−i−iii-111-1
χ1411-1-1-1111-1-1-1-111-11-1111-1-1i−i−iiii−i−i−i−iii-11−i−iiiii−i−i1-1-11
χ1511-1-1-1111-1-1-1-111-11-1111-1-1−iii−i−i−iiiii−i−i-11ii−i−i−i−iii1-1-11
χ1611-1-1-1111-1-1-1-111-11-1111-1-1−iii−i−i−iiiii−i−i-11−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
χ202222-2-222-2-222-2-22-2-22-2-2-2-200000000000022000000000000
χ212222-2-222-2-222-2-2-222-2000000000000000000−i2i2−i2i2i2−i2i2−i20000
χ222222-2-222-2-222-2-2-222-2000000000000000000i2−i2i2−i2−i2i2−i2i20000
χ2322-2-22-22222-2-2-2-222-2-20000000000000000002−2−222−2−220000
χ2422-2-22-22222-2-2-2-222-2-2000000000000000000−222−2−222−20000
χ2522-2-22-22222-2-2-2-2-2-222-2-222000000000000-22000000000000
χ2622-2-2-2222-2-2-2-2222-22-20000000000000000002−2−22−222−20000
χ2722-2-2-2222-2-2-2-2222-22-2000000000000000000−222−22−2−220000
χ2822-2-2-2222-2-2-2-222-22-22-2-2220000000000002-2000000000000
χ294-44i−4i004-4004i−4i000000−2i22i222−2200000000000000000000000000
χ304-44i−4i004-4004i−4i0000002i2−2i2−222200000000000000000000000000
χ314-4−4i4i004-400−4i4i000000−2i22i2−222200000000000000000000000000
χ324-4−4i4i004-400−4i4i0000002i2−2i222−2200000000000000000000000000
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
χ358888-8-8-1-111-1-111000000002i2i−2i−2i−i−i−i−iiiii00000000000000
χ368888-8-8-1-111-1-11100000000−2i−2i2i2iiiii−i−i−i−i00000000000000
χ3788-8-88-8-1-1-1-11111000000002-22-2-1-111-1-11100000000000000
χ3888-8-88-8-1-1-1-1111100000000-22-2211-1-111-1-100000000000000
χ3988-8-8-88-1-11111-1-1000000002i−2i−2i2i−i−iiiii−i−i00000000000000
χ4088-8-8-88-1-11111-1-100000000−2i2i2i−2iii−i−i−i−iii00000000000000
χ418-88i−8i00-113-3−ii3i−3i000000000000−i3i33−3−i3i33−300000000000000
χ428-88i−8i00-113-3−ii3i−3i000000000000i3−i3−33i3−i3−3300000000000000
χ438-88i−8i00-11-33−ii−3i3i0000000000003−3i3−i3−33−i3i300000000000000
χ448-88i−8i00-11-33−ii−3i3i000000000000−33−i3i33−3i3−i300000000000000
χ458-8−8i8i00-113-3i−i−3i3i000000000000−i3i3−33−i3i3−3300000000000000
χ468-8−8i8i00-113-3i−i−3i3i000000000000i3−i33−3i3−i33−300000000000000
χ478-8−8i8i00-11-33i−i3i−3i0000000000003−3−i3i3−33i3−i300000000000000
χ488-8−8i8i00-11-33i−i3i−3i000000000000−33i3−i33−3−i3i300000000000000

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