Finite Group Databasebeta

← Group #11792384

Character table — Group #11792384

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size1122244444488888816161616181818182424242424242424242424244848484848487272727272
order1224433666626121212126666224424448888242424246121212242444444
χ1111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-111-1-1-1-1-1-111-1-1111-1-1-1-1
χ31111111111111111111111111-1-111-1-1111111-1-111-1-11-1-1-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ511111111111-111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-111-1-1
χ611111111111-111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-111
χ711111111111-111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-111
χ811111111111-111111-1-1-1-11111-1-1-1-111111111-1-1-1-111-111-1-1
χ9222222222222222222222-2-2-2-2000000000000000000-20000
χ1022222222222-222222-2-2-2-2-2-2-2-200000000000000000020000
χ11222-2-222222202-2-2-2-2000022-2-200000000000000000002-200
χ12222-2-222222202-2-2-2-2000022-2-20000000000000000000-2200
χ13222-2-222222202-2-2-2-20000-2-2220000000000000000000002i−2i
χ14222-2-222222202-2-2-2-20000-2-222000000000000000000000−2i2i
χ1522-22-222-2-2220-22-2-2200002-22-20000002-222-2-200000000000
χ1622-22-222-2-2220-22-2-2200002-22-2000000-22-2-22200000000000
χ1722-22-222-2-2220-22-2-220000-22-22002-200000000002-20000000
χ1822-22-222-2-2220-22-2-220000-22-2200-220000000000-220000000
χ1922-2-2222-2-2220-2-222-200002-2-2200002-200000000002-200000
χ2022-2-2222-2-2220-2-222-200002-2-220000-220000000000-2200000
χ2122-2-2222-2-2220-2-222-20000-222-22-200000000002-2000000000
χ2222-2-2222-2-2220-2-222-20000-222-2-220000000000-22000000000
χ23444441-211-214-2-21-2111-2-2000000220022-1-1-1-100-1-10000000
χ24444441-211-214-2-21-2111-2-2000000-2-200-2-2111100110000000
χ25444441-211-21-4-2-21-21-1-1220000002200-2-2111100-1-10000000
χ26444441-211-21-4-2-21-21-1-122000000-2-20022-1-1-1-100110000000
χ2744444-21-2-21-2411-21-2-2-2110000220022000000-1-100-1-100000
χ2844444-21-2-21-2411-21-2-2-2110000-2-200-2-200000011001100000
χ2944444-21-2-21-2-411-21-222-1-100002200-2-2000000-1-1001100000
χ3044444-21-2-21-2-411-21-222-1-10000-2-200220000001100-1-100000
χ3144-44-41-2-1-1-2102-2-1213-3000000002-2002-2-1-11100-110000000
χ3244-44-41-2-1-1-2102-2-1213-300000000-2200-2211-1-1001-10000000
χ3344-44-41-2-1-1-2102-2-121-33000000002-200-2211-1-100-110000000
χ3444-44-41-2-1-1-2102-2-121-3300000000-22002-2-1-111001-10000000
χ3544-4-44-21221-20-1-1-212003-300002-2002-2000000-1100-1100000
χ3644-4-44-21221-20-1-1-212003-30000-2200-220000001-1001-100000
χ3744-4-44-21221-20-1-1-21200-3300002-200-22000000-11001-100000
χ3844-4-44-21221-20-1-1-21200-330000-22002-20000001-100-1100000
χ39888-8-82-422-420-44-24-20000000000000000000000000000000
χ40888-8-8-42-4-42-402-24-240000000000000000000000000000000
χ4188-88-8-42442-40-224-2-40000000000000000000000000000000
χ4288-8-882-4-2-2-420442-4-20000000000000000000000000000000
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).