Finite Group Databasebeta

← Group #11771102

Character table — Group #11771102

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size1111222248888888888888888999918181818363636363636363636363636363636363672727272
order12224444236666666121212121212121244442222444444444444444448888
χ1111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111-1-1-1111-1-1-1-111111-1-1-1-1-1-1-1-111-1-111111-1-1-1-1iiii−i−i−i−iii−i−i
χ6111111-1-1-1111-1-1-1-111111-1-1-1-1-1-1-1-111-1-111111-1-1-1-1−i−i−i−iiiii−i−iii
χ7111111-1-1-1111-1-1-1-111111-1-1-1-1-1-1-1-111-1-11-1-1-1-11111iiii−i−i−i−i−i−iii
χ8111111-1-1-1111-1-1-1-111111-1-1-1-1-1-1-1-111-1-11-1-1-1-11111−i−i−i−iiiiiii−i−i
χ91111-1-111-1111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1111ii−i−iii−i−i11-1-111-1-1i−ii−i
χ101111-1-111-1111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1111ii−i−iii−i−i-1-111-1-111−ii−ii
χ111111-1-111-1111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1111−i−iii−i−iii11-1-111-1-1−ii−ii
χ121111-1-111-1111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1111−i−iii−i−iii-1-111-1-111i−ii−i
χ131111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11ii−i−i−i−iiiii−i−i−i−iii-111-1
χ141111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11ii−i−i−i−iii−i−iiiii−i−i1-1-11
χ151111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11−i−iiiii−i−iii−i−i−i−iii1-1-11
χ161111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11−i−iiiii−i−i−i−iiiii−i−i-111-1
χ172222222222222222222222222-2-2-2-2-2-2-2-2-200000000000000000000
χ18222222-2-2-2222-2-2-2-222222-2-2-2-22222-2-222-200000000000000000000
χ192222-2-222-2222-2-2-2-22-2-2-2-22222222222-2-2-200000000000000000000
χ202222-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-22222-200000000000000000000
χ2122-2-2002i−2i022-20000-200002i2i−2i−2i2i2i−2i−2i2-2000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i0000
χ2222-2-2002i−2i022-20000-200002i2i−2i−2i2i2i−2i−2i2-200000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000
χ2322-2-2002i−2i022-20000-200002i2i−2i−2i−2i−2i2i2i-22000000000001+i−1−i−1−i1+i1−i−1+i−1+i1−i0000
χ2422-2-2002i−2i022-20000-200002i2i−2i−2i−2i−2i2i2i-2200000000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i0000
χ2522-2-200−2i2i022-20000-20000−2i−2i2i2i2i2i−2i−2i-22000000000001−i−1+i−1+i1−i1+i−1−i−1−i1+i0000
χ2622-2-200−2i2i022-20000-20000−2i−2i2i2i2i2i−2i−2i-2200000000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i0000
χ2722-2-200−2i2i022-20000-20000−2i−2i2i2i−2i−2i2i2i2-2000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i0000
χ2822-2-200−2i2i022-20000-20000−2i−2i2i2i−2i−2i2i2i2-200000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000
χ292-22-22i−2i0002-220000-22i2i−2i−2i00002i−2i2i−2i002-201+i−1−i1−i−1+i1+i−1−i1−i−1+i000000000000
χ302-22-22i−2i0002-220000-22i2i−2i−2i00002i−2i2i−2i002-20−1−i1+i−1+i1−i−1−i1+i−1+i1−i000000000000
χ312-22-22i−2i0002-220000-22i2i−2i−2i0000−2i2i−2i2i00-2201+i−1−i1−i−1+i−1−i1+i−1+i1−i000000000000
χ322-22-22i−2i0002-220000-22i2i−2i−2i0000−2i2i−2i2i00-220−1−i1+i−1+i1−i1+i−1−i1−i−1+i000000000000
χ332-22-2−2i2i0002-220000-2−2i−2i2i2i00002i−2i2i−2i00-2201−i−1+i1+i−1−i−1+i1−i−1−i1+i000000000000
χ342-22-2−2i2i0002-220000-2−2i−2i2i2i00002i−2i2i−2i00-220−1+i1−i−1−i1+i1−i−1+i1+i−1−i000000000000
χ352-22-2−2i2i0002-220000-2−2i−2i2i2i0000−2i2i−2i2i002-201−i−1+i1+i−1−i1−i−1+i1+i−1−i000000000000
χ362-22-2−2i2i0002-220000-2−2i−2i2i2i0000−2i2i−2i2i002-20−1+i1−i−1−i1+i−1+i1−i−1−i1+i000000000000
χ374-4-44000004-4-400004000000004-4-440000000000000000000000000
χ384-4-44000004-4-40000400000000-444-40000000000000000000000000
χ39888888888-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000
χ40888888-8-8-8-1-1-11111-1-1-1-1-1111100000000000000000000000000000
χ418888-8-888-8-1-1-11111-11111-1-1-1-100000000000000000000000000000
χ428888-8-8-8-88-1-1-1-1-1-1-1-11111111100000000000000000000000000000
χ4388-8-8008i−8i0-1-1133-3-313i−3i3i−3i−i−iii00000000000000000000000000000
χ4488-8-8008i−8i0-1-11-3-3331−3i3i−3i3i−i−iii00000000000000000000000000000
χ4588-8-800−8i8i0-1-1133-3-31−3i3i−3i3iii−i−i00000000000000000000000000000
χ4688-8-800−8i8i0-1-11-3-33313i−3i3i−3iii−i−i00000000000000000000000000000
χ478-88-88i−8i000-11-13-33-31−i−iii3i−3i3i−3i00000000000000000000000000000
χ488-88-88i−8i000-11-1-33-331−i−iii−3i3i−3i3i00000000000000000000000000000
χ498-88-8−8i8i000-11-13-33-31ii−i−i−3i3i−3i3i00000000000000000000000000000
χ508-88-8−8i8i000-11-1-33-331ii−i−i3i−3i3i−3i00000000000000000000000000000
χ518-8-8800000-1113-3-33-13-3-333-3-3300000000000000000000000000000
χ528-8-8800000-1113-3-33-1-333-3-333-300000000000000000000000000000
χ538-8-8800000-111-333-3-13-3-33-333-300000000000000000000000000000
χ548-8-8800000-111-333-3-1-333-33-3-3300000000000000000000000000000

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