Finite Group Databasebeta

← Group #11786445

Character table — Group #11786445

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size1111222248888888888888888999918181818363636363636363636363636363636363672727272
order12222244436666666121212121212121222222244444444444888888884444
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
χ5111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111iiii−i−i−i−i1111-1-1-1-1i−ii−i
χ6111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111iiii−i−i−i−i-1-1-1-11111−ii−ii
χ7111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111−i−i−i−iiiii1111-1-1-1-1−ii−ii
χ8111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111−i−i−i−iiiii-1-1-1-11111i−ii−i
χ91111-1-111-1111-1-1-1-111111-1-1-1-11111-1-111-111-1-111-1-111-1-111-1-111-1-1
χ101111-1-111-1111-1-1-1-111111-1-1-1-11111-1-111-111-1-111-1-1-1-111-1-111-1-111
χ111111-1-111-1111-1-1-1-111111-1-1-1-11111-1-111-1-1-111-1-11111-1-111-1-1-1-111
χ121111-1-111-1111-1-1-1-111111-1-1-1-11111-1-111-1-1-111-1-111-1-111-1-11111-1-1
χ131111-1-1-1-11111-1-1-1-11-1-1-1-11111-1-1-1-11111-1ii−i−i−i−iii11-1-1-1-111i−i−ii
χ141111-1-1-1-11111-1-1-1-11-1-1-1-11111-1-1-1-11111-1ii−i−i−i−iii-1-11111-1-1−iii−i
χ151111-1-1-1-11111-1-1-1-11-1-1-1-11111-1-1-1-11111-1−i−iiiii−i−i11-1-1-1-111−iii−i
χ161111-1-1-1-11111-1-1-1-11-1-1-1-11111-1-1-1-11111-1−i−iiiii−i−i-1-11111-1-1i−i−ii
χ172222222222222222222222222-2-2-2-2-2-2-2-2-200000000000000000000
χ18222222-2-2-222222222-2-2-2-2-2-2-2-2222222-2-2-200000000000000000000
χ192222-2-222-2222-2-2-2-222222-2-2-2-2-2-2-2-222-2-2200000000000000000000
χ202222-2-2-2-22222-2-2-2-22-2-2-2-222222222-2-2-2-2200000000000000000000
χ2122-2-22-200022-222-2-2-20000000022-2-22-2000000000002−22−22−22−20000
χ2222-2-22-200022-222-2-2-20000000022-2-22-200000000000−22−22−22−220000
χ2322-2-22-200022-222-2-2-200000000-2-222-22000000000002−22−2−22−220000
χ2422-2-22-200022-222-2-2-200000000-2-222-2200000000000−22−222−22−20000
χ2522-2-2-2200022-2-2-222-20000000022-2-2-22000000000002−2−222−2−220000
χ2622-2-2-2200022-2-2-222-20000000022-2-2-2200000000000−222−2−222−20000
χ2722-2-2-2200022-2-2-222-200000000-2-2222-2000000000002−2−22−222−20000
χ2822-2-2-2200022-2-2-222-200000000-2-2222-200000000000−222−22−2−220000
χ292-2-22002-202-2-20000222-2-200002-22-2002-20002i−2i002i−2i000000000000
χ302-2-22002-202-2-20000222-2-200002-22-2002-2000−2i2i00−2i2i000000000000
χ312-2-22002-202-2-20000222-2-20000-22-2200-2202-2002-200000000000000
χ322-2-22002-202-2-20000222-2-20000-22-2200-220-2200-2200000000000000
χ332-2-2200-2202-2-200002-2-22200002-22-200-2202i−2i00−2i2i00000000000000
χ342-2-2200-2202-2-200002-2-22200002-22-200-220−2i2i002i−2i00000000000000
χ352-2-2200-2202-2-200002-2-2220000-22-22002-20002-200-22000000000000
χ362-2-2200-2202-2-200002-2-2220000-22-22002-2000-22002-2000000000000
χ374-44-4000004-440000-4000000004-4-440000000000000000000000000
χ384-44-4000004-440000-400000000-444-40000000000000000000000000
χ39888888888-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000
χ40888888-8-8-8-1-1-1-1-1-1-1-11111111100000000000000000000000000000
χ418888-8-888-8-1-1-11111-1-1-1-1-1111100000000000000000000000000000
χ428888-8-8-8-88-1-1-11111-11111-1-1-1-100000000000000000000000000000
χ4388-8-88-8000-1-11-1-11113i−3i3i−3i3i3i−3i−3i00000000000000000000000000000
χ4488-8-88-8000-1-11-1-1111−3i3i−3i3i−3i−3i3i3i00000000000000000000000000000
χ4588-8-8-88000-1-1111-1-113i−3i3i−3i−3i−3i3i3i00000000000000000000000000000
χ4688-8-8-88000-1-1111-1-11−3i3i−3i3i3i3i−3i−3i00000000000000000000000000000
χ478-88-800000-11-13-33-313i−3i−3i3i3i−3i3i−3i00000000000000000000000000000
χ488-88-800000-11-13-33-31−3i3i3i−3i−3i3i−3i3i00000000000000000000000000000
χ498-88-800000-11-1-33-3313i−3i−3i3i−3i3i−3i3i00000000000000000000000000000
χ508-88-800000-11-1-33-331−3i3i3i−3i3i−3i3i−3i00000000000000000000000000000
χ518-8-88008-80-1113-3-33-1-1-1113-3-3300000000000000000000000000000
χ528-8-88008-80-111-333-3-1-1-111-333-300000000000000000000000000000
χ538-8-8800-880-1113-3-33-111-1-1-333-300000000000000000000000000000
χ548-8-8800-880-111-333-3-111-1-13-3-3300000000000000000000000000000

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