Finite Group Databasebeta

← Group #11792388

Character table — Group #11792388

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size1122244444488888816161616181818182424242424242424242424244848484848487272727272
order12244336666461212121212121212224424444488121212126121212242424488
χ1111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-111-1-1-1-111-1-1111-1-1-1-1
χ31111111111111111111111111-1-11111-1-11111-1-111-1-11-1-1-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ511111111111-111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-111
χ611111111111-111111-1-1-1-1111111-1-111-1-1111111-1-1-1-1-111-1-1
χ711111111111-111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-11111-111-1-1
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
χ11222-2-222222202-2-2-2-2000022-2-200002-20022-2-200000000000
χ12222-2-222222202-2-2-2-2000022-2-20000-2200-2-22200000000000
χ13222-2-222222202-2-2-2-20000-2-222002-200000000002-20000000
χ14222-2-222222202-2-2-2-20000-2-22200-220000000000-220000000
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
χ1922-2-2222-2-2220-2-2-22200002-2-222-200000000002-2000000000
χ2022-2-2222-2-2220-2-2-22200002-2-22-220000000000-22000000000
χ2122-2-2222-2-2220-2-2-2220000-222-20000002-2000000002-200000
χ2222-2-2222-2-2220-2-2-2220000-222-2000000-2200000000-2200000
χ23444441-211-214-2-211-2-2-211000000222200-1-1-1-100-1-10000000
χ24444441-211-214-2-211-2-2-211000000-2-2-2-200111100110000000
χ25444441-211-21-4-2-211-222-1-100000022-2-200111100-1-10000000
χ26444441-211-21-4-2-211-222-1-1000000-2-22200-1-1-1-100110000000
χ2744444-21-2-21-2411-2-2111-2-20000220000220000-1-100-1-100000
χ2844444-21-2-21-2411-2-2111-2-20000-2-20000-2-2000011001100000
χ2944444-21-2-21-2-411-2-21-1-1220000220000-2-20000-1-1001100000
χ3044444-21-2-21-2-411-2-21-1-1220000-2-200002200001100-1-100000
χ31444-4-41-211-210-22-1-12003-30000002-22-200-1-11100-110000000
χ32444-4-41-211-210-22-1-12003-3000000-22-220011-1-1001-10000000
χ33444-4-41-211-210-22-1-1200-330000002-2-220011-1-100-110000000
χ34444-4-41-211-210-22-1-1200-33000000-222-200-1-111001-10000000
χ3544-4-44-21221-20-1-12-213-30000002-200002-20000-1100-1100000
χ3644-4-44-21221-20-1-12-213-3000000-220000-2200001-1001-100000
χ3744-4-44-21221-20-1-12-21-330000002-20000-220000-11001-100000
χ3844-4-44-21221-20-1-12-21-33000000-2200002-200001-100-1100000
χ39888-8-8-42-4-42-402-244-20000000000000000000000000000000
χ4088-88-82-4-2-2-4204-42-240000000000000000000000000000000
χ4188-88-8-42442-40-22-44-20000000000000000000000000000000
χ4288-8-882-4-2-2-42044-22-40000000000000000000000000000000
χ438-80002-46-64-2000000000000000000000000−2i32i300000000000
χ448-80002-46-64-20000000000000000000000002i3−2i300000000000
χ458-80002-4-664-20000000000000000000000−2i32i30000000000000
χ468-80002-4-664-200000000000000000000002i3−2i30000000000000
χ478-80008800-8-80000000000000000000000000000000000000
χ4816-16000-8400-480000000000000000000000000000000000000

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