Finite Group Databasebeta

← Group #11792390

Character table — Group #11792390

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size1122244444488888816161616181818182424242424242424242424244848484848487272727272
order122223366664666661212121244442244444412121212661212121248888
χ1111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1111-1-1-111111-1-11-1-11-1-1-1-1
χ31111111111111111111111111-11-1-1-1111-1-1-1-1-111-1111-1-1-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ511111111111-111111-1-1-1-11111111-1-11-1-1-1-1-1-11111-1-1-111-1-1
χ611111111111-111111-1-1-1-111111-11-1-1-111-1-1-1-11-1-1111-1-1-111
χ711111111111-111111-1-1-1-11111-11-1111-1-11111-111-1-1-1-1-1-111
χ811111111111-111111-1-1-1-11111-1-1-111-1111111-1-1-1-111-111-1-1
χ9222222222222222222222-2-2-2-2000000000000000000-20000
χ1022222222222-222222-2-2-2-2-2-2-2-200000000000000000020000
χ11222-2-222-2-222022-2-2-2000022-2-20000002i−2i000000002i−2i00000
χ12222-2-222-2-222022-2-2-2000022-2-2000000−2i2i00000000−2i2i00000
χ13222-2-222-2-222022-2-2-20000-2-22202000-200000002-200000000
χ14222-2-222-2-222022-2-2-20000-2-2220-200020000000-2200000000
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
χ1922-2-222222220-2-2-22-200002-2-2220-2000000000200-20000000
χ2022-2-222222220-2-2-22-200002-2-22-202000000000-20020000000
χ2122-2-222222220-2-2-22-20000-222-20002-200022-2-200000000000
χ2222-2-222222220-2-2-22-20000-222-2000-22000-2-22200000000000
χ23444441-211-2141-21-2-211-2-2000020222000-1-1-1-1-100-10000000
χ24444441-211-2141-21-2-211-2-20000-20-2-2-2000111110010000000
χ25444441-211-21-41-21-2-2-1-1220000202-2-20001111-100-10000000
χ26444441-211-21-41-21-2-2-1-1220000-20-222000-1-1-1-110010000000
χ2744444-21-2-21-24-21-211-2-21100000200022200000-1-10-1-100000
χ2844444-21-2-21-24-21-211-2-21100000-2000-2-2-2000001101100000
χ2944444-21-2-21-2-4-21-21122-1-10000020002-2-200000-1-101100000
χ3044444-21-2-21-2-4-21-21122-1-100000-2000-22200000110-1-100000
χ31444-4-4-21221-20-212-1-1003i−3i000002000-22i−2i00000-110−ii00000
χ32444-4-4-21221-20-212-1-1003i−3i00000-20002−2i2i000001-10i−i00000
χ33444-4-4-21221-20-212-1-100−3i3i000002000-2−2i2i00000-110i−i00000
χ34444-4-4-21221-20-212-1-100−3i3i00000-200022i−2i000001-10−ii00000
χ3544-4-441-211-210-12-1-223-300000020-22-2000-1-111-10010000000
χ3644-4-441-211-210-12-1-223-3000000-202-2200011-1-1100-10000000
χ3744-4-441-211-210-12-1-22-3300000020-2-2200011-1-1-10010000000
χ3844-4-441-211-210-12-1-22-33000000-2022-2000-1-111100-10000000
χ39888-8-82-4-2-2-4202-4-2440000000000000000000000000000000
χ4088-88-82-4-2-2-420-2424-40000000000000000000000000000000
χ4188-88-8-42442-404-2-4-220000000000000000000000000000000
χ4288-8-88-42-4-42-404-242-20000000000000000000000000000000
χ438-80002-46-64-200000000000000000000000023−2300000000000
χ448-80002-46-64-2000000000000000000000000−232300000000000
χ458-80002-4-664-2000000000000000000000023−230000000000000
χ468-80002-4-664-20000000000000000000000−23230000000000000
χ478-80008800-8-80000000000000000000000000000000000000
χ4816-16000-8400-480000000000000000000000000000000000000

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