Finite Group Databasebeta

← Group #11793838

Character table — Group #11793838

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size1122244444488888816161616181818182424242424242424242424244848484848487272727272
order12244336666261212121266662244448888882424242412122424242444488
χ1111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-111-1-1111111-1-1-1-11-1-1-1-1
χ31111111111111111111111111-1-111-1-111-1-1-1-1-1-111111-1-1-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ511111111111-111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-111
χ611111111111-111111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-111-111-1-1
χ711111111111-111111-1-1-1-11111-1-11111-1-11111-1-111-1-1-111-1-1
χ811111111111-111111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-111
χ9222222222222222222222-2-2-2-2000000000000000000-20000
χ1022222222222-222222-2-2-2-2-2-2-2-200000000000000000020000
χ11222-2-222222202-2-2-2-2000022-2-2002i−2i00000000002i−2i0000000
χ12222-2-222222202-2-2-2-2000022-2-200−2i2i0000000000−2i2i0000000
χ13222-2-222222202-2-2-2-20000-2-2220000002i−2i000000002i−2i00000
χ14222-2-222222202-2-2-2-20000-2-222000000−2i2i00000000−2i2i00000
χ1522-22-222-2-2220-222-2-200002-22-200000000000000000002i−2i00
χ1622-22-222-2-2220-222-2-200002-22-20000000000000000000−2i2i00
χ1722-22-222-2-2220-222-2-20000-22-220000000000000000000002-2
χ1822-22-222-2-2220-222-2-20000-22-22000000000000000000000-22
χ1922-2-2222-2-2220-2-2-22200002-2-2200002-20022-2-200000000000
χ2022-2-2222-2-2220-2-2-22200002-2-220000-2200-2-22200000000000
χ2122-2-2222-2-2220-2-2-2220000-222-22-200000000002-2000000000
χ2222-2-2222-2-2220-2-2-2220000-222-2-220000000000-22000000000
χ23444441-211-214-21-2-2111-2-2000022002200-1-1-1-1-1-1000000000
χ24444441-211-214-21-2-2111-2-20000-2-200-2-200111111000000000
χ25444441-211-21-4-21-2-21-1-12200002200-2-2001111-1-1000000000
χ26444441-211-21-4-21-2-21-1-1220000-2-2002200-1-1-1-111000000000
χ2744444-21-2-21-241-211-2-2-211000000220022000000-1-1-1-100000
χ2844444-21-2-21-241-211-2-2-211000000-2-200-2-2000000111100000
χ2944444-21-2-21-2-41-211-222-1-10000002200-2-2000000-1-11100000
χ3044444-21-2-21-2-41-211-222-1-1000000-2-2002200000011-1-100000
χ31444-4-4-21-2-21-2012-1-12003-30000002i−2i002i−2i000000−ii−ii00000
χ32444-4-4-21-2-21-2012-1-12003-3000000−2i2i00−2i2i000000i−ii−i00000
χ33444-4-4-21-2-21-2012-1-1200-330000002i−2i00−2i2i000000−iii−i00000
χ34444-4-4-21-2-21-2012-1-1200-33000000−2i2i002i−2i000000i−i−ii00000
χ3544-4-441-2-1-1-2102-12-213-30000002-2002-200-1-111-11000000000
χ3644-4-441-2-1-1-2102-12-213-3000000-2200-220011-1-11-1000000000
χ3744-4-441-2-1-1-2102-12-21-330000002-200-220011-1-1-11000000000
χ3844-4-441-2-1-1-2102-12-21-33000000-22002-200-1-1111-1000000000
χ39888-8-82-422-420-4-244-20000000000000000000000000000000
χ4088-88-82-4-2-2-42042-44-20000000000000000000000000000000
χ4188-88-8-42442-40-2-42-240000000000000000000000000000000
χ4288-8-88-42442-40-24-22-40000000000000000000000000000000
χ438-80002-46-64-200000000000000000000006−66−600000000000
χ448-80002-46-64-20000000000000000000000−66−6600000000000
χ458-80002-4-664-200000000000000000000006−6−6600000000000
χ468-80002-4-664-20000000000000000000000−666−600000000000
χ478-80008800-8-80000000000000000000000000000000000000
χ4816-16000-8400-480000000000000000000000000000000000000

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