Finite Group Databasebeta

← Group #11771948

Character table — Group #11771948

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33
size11248888991616182424242436363648484848727272727272727272
order1222366622662444424412121212444448888
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
χ5111-111-1-1111-11ii−i−i-1-1-1ii−i−i111-1-1ii−i−i
χ6111-111-1-1111-11ii−i−i-1-1-1ii−i−i1-1-111−i−iii
χ7111-111-1-1111-11−i−iii-1-1-1−i−iii111-1-1−i−iii
χ8111-111-1-1111-11−i−iii-1-1-1−i−iii1-1-111ii−i−i
χ9222222222222200002-2-20000-200000000
χ1022222222-2-222-20000-200000000000i2−i2i2−i2
χ1122222222-2-222-20000-200000000000−i2i2−i2i2
χ12222-222-2-2222-220000-2220000-200000000
χ13222-222-2-2-2-22-2-200002000000000002−2−22
χ14222-222-2-2-2-22-2-20000200000000000−222−2
χ1522-202200-2-2-2021+i−1−i1−i−1+i02i−2i1+i−1−i1−i−1+i000000000
χ1622-202200-2-2-2021−i−1+i1+i−1−i0−2i2i1−i−1+i1+i−1−i000000000
χ1722-202200-2-2-202−1+i1−i−1−i1+i0−2i2i−1+i1−i−1−i1+i000000000
χ1822-202200-2-2-202−1−i1+i−1+i1−i02i−2i−1−i1+i−1+i1−i000000000
χ1944-40440044-40-400000000000000000000
χ204-4004-4004-40000000000000002i−2i000000
χ214-4004-4004-4000000000000000−2i2i000000
χ224-4004-400-44000000000000000002-20000
χ234-4004-400-4400000000000000000-220000
χ248888-1-1-1-100-1-102222000-1-1-1-1000000000
χ258888-1-1-1-100-1-10-2-2-2-20001111000000000
χ26888-8-1-11100-1102i2i−2i−2i000−i−iii000000000
χ27888-8-1-11100-110−2i−2i2i2i000ii−i−i000000000
χ2888-80-1-133001-302-22-2000-11-11000000000
χ2988-80-1-133001-30-22-220001-11-1000000000
χ3088-80-1-1-3-3001302i−2i−2i2i000−iii−i000000000
χ3188-80-1-1-3-300130−2i2i2i−2i000i−i−ii000000000
χ3216-1600-226-60000000000000000000000000
χ3316-1600-22-660000000000000000000000000

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