Finite Group Databasebeta

← Group #11792340

Character table — Group #11792340

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size1122244444488888816161616181818182424242424242424242424244848484848487272727272
order12222336666466666121212124444222244446666661212121248888
χ1111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-11-1-1-11111-111-1-1-11-1-1-1-1
χ31111111111111111111111111-1-1-11-1111-1-1-1-11-1-11111-1-1-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ511111111111-111111-1-1-1-1111111-11-11-1-111111-1-11-1-1-111-1-1
χ611111111111-111111-1-1-1-1111111-1-1-1-1111111-1-1-1-111-1-1-111
χ711111111111-111111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-1-111
χ811111111111-111111-1-1-1-11111-1-11-11-111-1-1-1-1-111-111-111-1-1
χ9222222222222222222222-2-2-2-2000000000000000000-20000
χ1022222222222-222222-2-2-2-2-2-2-2-200000000000000000020000
χ11222-2-222-2-222022-2-2-2000022-2-20000002i−2i000000002i−2i00000
χ12222-2-222-2-222022-2-2-2000022-2-2000000−2i2i00000000−2i2i00000
χ13222-2-222-2-222022-2-2-20000-2-22200020-2000000200-20000000
χ14222-2-222-2-222022-2-2-20000-2-222000-202000000-20020000000
χ1522-22-222-2-2220-2-22-2200002-22-20000000000000000000002-2
χ1622-22-222-2-2220-2-22-2200002-22-2000000000000000000000-22
χ1722-22-222-2-2220-2-22-220000-22-2200000000000000000002-200
χ1822-22-222-2-2220-2-22-220000-22-220000000000000000000-2200
χ1922-2-222222220-2-2-22-200002-2-222-200000022-2-200000000000
χ2022-2-222222220-2-2-22-200002-2-22-22000000-2-22200000000000
χ2122-2-222222220-2-2-22-20000-222-20020-2000000002-200000000
χ2222-2-222222220-2-2-22-20000-222-200-20200000000-2200000000
χ23444441-2-2-21-241-2-211-2-2110000000202220000-100-1-1-100000
χ24444441-2-2-21-241-2-211-2-2110000000-20-2-2-2000010011100000
χ25444441-2-2-21-2-41-2-21122-1-10000000202-2-20000-100-11100000
χ26444441-2-2-21-2-41-2-21122-1-10000000-20-22200001001-1-100000
χ2744444-2111-214-211-2-211-2-2000022202000-1-1-1-10-1-100000000
χ2844444-2111-214-211-2-211-2-20000-2-2-20-2000111101100000000
χ2944444-2111-21-4-211-2-2-1-122000022-20-2000-1-1-1-101100000000
χ3044444-2111-21-4-211-2-2-1-1220000-2-220200011110-1-100000000
χ31444-4-41-2221-201-22-1-1003i−3i000000020-22i−2i0000-1001−ii00000
χ32444-4-41-2221-201-22-1-1003i−3i0000000-202−2i2i0000100-1i−i00000
χ33444-4-41-2221-201-22-1-100−3i3i000000020-2−2i2i0000-1001i−i00000
χ34444-4-41-2221-201-22-1-100−3i3i0000000-2022i−2i0000100-1−ii00000
χ3544-4-44-2111-2102-1-1-223-30000002-220-2000-1-1110-1100000000
χ3644-4-44-2111-2102-1-1-223-3000000-22-20200011-1-101-100000000
χ3744-4-44-2111-2102-1-1-22-330000002-2-202000-1-11101-100000000
χ3844-4-44-2111-2102-1-1-22-33000000-2220-200011-1-10-1100000000
χ39888-8-8-42-2-2-420-42-2440000000000000000000000000000000
χ4088-88-82-4442-40-24-4-220000000000000000000000000000000
χ4188-88-8-42-2-2-4204-224-40000000000000000000000000000000
χ4288-8-882-4-4-42-40-2442-20000000000000000000000000000000
χ438-80008800-8-80000000000000000000000000000000000000
χ448-8000-426-64-20000000000000000000000−2i32i30000000000000
χ458-8000-426-64-200000000000000000000002i3−2i30000000000000
χ468-8000-42-664-2000000000000000000000000−2i32i300000000000
χ478-8000-42-664-20000000000000000000000002i3−2i300000000000
χ4816-160004-800-480000000000000000000000000000000000000

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