Finite Group Databasebeta

← Group #11771846

Character table — Group #11771846

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33
size11248888991616182424242436363648484848727272727272727272
order122436662212122444444412121212488888888
χ1111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111-1-1-1-1111-1-1-1-111111-1-1-1-1
χ41111111111111-1-1-1-1111-1-1-1-11-1-1-1-11111
χ5111-1111111-1-1111-1-1-1-1-1-1-1111ii−i−iii−i−i
χ6111-1111111-1-1111-1-1-1-1-1-1-1111−i−iii−i−iii
χ7111-1111111-1-11-1-111-1-1-111-1-11ii−i−i−i−iii
χ8111-1111111-1-11-1-111-1-1-111-1-11−i−iiiii−i−i
χ922222222222220000-2-220000-200000000
χ1022222222-2-222-2000000-200000i2−i2i2−i20000
χ1122222222-2-222-2000000-200000−i2i2−i2i20000
χ12222-2222222-2-22000022-20000-200000000
χ13222-22222-2-2-2-2-20000002000002−2−220000
χ14222-22222-2-2-2-2-2000000200000−222−20000
χ1522-202-2-22-2-200200002i−2i00000000001+i−1−i1−i−1+i
χ1622-202-2-22-2-200200002i−2i0000000000−1−i1+i−1+i1−i
χ1722-202-2-22-2-20020000−2i2i00000000001−i−1+i1+i−1−i
χ1822-202-2-22-2-20020000−2i2i0000000000−1+i1−i−1−i1+i
χ1944-404-4-444400-400000000000000000000
χ204-400400-44-4000002-20002-200000000000
χ214-400400-44-400000-22000-2200000000000
χ224-400400-4-440002i−2i00000002i−2i000000000
χ234-400400-4-44000−2i2i0000000−2i2i000000000
χ248888-1-1-1-100-1-102222000-1-1-1-1000000000
χ258888-1-1-1-100-1-10-2-2-2-20001111000000000
χ26888-8-1-1-1-10011022-2-200011-1-1000000000
χ27888-8-1-1-1-100110-2-222000-1-111000000000
χ288-800-1-331003i−3i02i−2i2-2000-11−ii000000000
χ298-800-1-331003i−3i0−2i2i-220001-1i−i000000000
χ308-800-1-33100−3i3i02i−2i-220001-1−ii000000000
χ318-800-1-33100−3i3i0−2i2i2-2000-11i−i000000000
χ321616-160-222-20000000000000000000000000
χ3316-1600-26-620000000000000000000000000

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