Finite Group Databasebeta

← Group #11793141

Character table — Group #11793141

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size1122244444488888816161616181818182424242424242424242424244848484848487272727272
order1222233666646666612121212222224444444121212126121212121244444
χ1111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-1-1-1-1-111-1-1111-1-1-1-1
χ31111111111111111111111111-1-1-1-111111111-1-111-1-11-1-1-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ511111111111-111111-1-1-1-1111111-1-111-1-1111111-1-1-1-1-111-1-1
χ611111111111-111111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-111
χ711111111111-111111-1-1-1-11111-1-11111-1-11111-1-1-1-111-1-1-111
χ811111111111-111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-11111-111-1-1
χ9222222222222222222222-2-2-2-2000000000000000000-20000
χ1022222222222-222222-2-2-2-2-2-2-2-200000000000000000020000
χ11222-2-22222-2-202-22-2-2000022-2-22-200000000002-2000000000
χ12222-2-22222-2-202-22-2-2000022-2-2-220000000000-22000000000
χ13222-2-22222-2-202-22-2-20000-2-222002i−2i0000000000002i−2i00000
χ14222-2-22222-2-202-22-2-20000-2-22200−2i2i000000000000−2i2i00000
χ1522-22-22222-2-20-22-2-2200002-22-20000000000000000000002i−2i
χ1622-22-22222-2-20-22-2-2200002-22-2000000000000000000000−2i2i
χ1722-22-22222-2-20-22-2-220000-22-2200000000000000000002i−2i00
χ1822-22-22222-2-20-22-2-220000-22-220000000000000000000−2i2i00
χ1922-2-222222220-2-2-22-200002-2-220000002-20000002-20000000
χ2022-2-222222220-2-2-22-200002-2-22000000-22000000-220000000
χ2122-2-222222220-2-2-22-20000-222-200002-20022-2-200000000000
χ2222-2-222222220-2-2-22-20000-222-20000-2200-2-22200000000000
χ23444441-21-211411-2-2-211-2-2000000002222-1-1-1-100-1-10000000
χ24444441-21-211411-2-2-211-2-200000000-2-2-2-2111100110000000
χ25444441-21-211-411-2-2-2-1-1220000000022-2-2-1-1-1-100110000000
χ26444441-21-211-411-2-2-2-1-12200000000-2-222111100-1-10000000
χ2744444-21-21-2-24-2-2111-2-2110000222200000000-1-100-1-100000
χ2844444-21-21-2-24-2-2111-2-2110000-2-2-2-20000000011001100000
χ2944444-21-21-2-2-4-2-211122-1-1000022-2-200000000-1-1001100000
χ3044444-21-21-2-2-4-2-211122-1-10000-2-222000000001100-1-100000
χ31444-4-4-21-21220-221-1-1003i−3i00002-22i−2i00000000-1100−ii00000
χ32444-4-4-21-21220-221-1-1003i−3i0000-22−2i2i000000001-100i−i00000
χ33444-4-4-21-21220-221-1-100−3i3i00002-2−2i2i00000000-1100i−i00000
χ34444-4-4-21-21220-221-1-100−3i3i0000-222i−2i000000001-100−ii00000
χ3544-4-441-21-2110-1-12-223-300000000002-22-2-1-11100-110000000
χ3644-4-441-21-2110-1-12-223-30000000000-22-2211-1-1001-10000000
χ3744-4-441-21-2110-1-12-22-3300000000002-2-22-1-111001-10000000
χ3844-4-441-21-2110-1-12-22-330000000000-222-211-1-100-110000000
χ39888-8-82-42-4-2-202-2-4440000000000000000000000000000000
χ4088-88-82-42-4-2-20-2244-40000000000000000000000000000000
χ4188-88-8-42-424404-4-2-220000000000000000000000000000000
χ4288-8-88-42-42-4-4044-22-20000000000000000000000000000000
χ438-80002-4-246-6000000000000000000000000−2i32i300000000000
χ448-80002-4-246-60000000000000000000000002i3−2i300000000000
χ458-80002-4-24-66000000000000000000000023−230000000000000
χ468-80002-4-24-660000000000000000000000−23230000000000000
χ478-800088-8-8000000000000000000000000000000000000000
χ4816-16000-848-4000000000000000000000000000000000000000

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