Finite Group Databasebeta

← Group #11792784

Character table — Group #11792784

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size112224444888888899161616161818182424242424242424363636364848484848484848727272
order122443366668121212122224242424244244444888888612121212122424888
χ1111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-1-1-1-1-11-1-1111-1-11-1-1
χ31111111111111111111111111-1-1-1-11111-1-1-1-1-111-1-1-1111-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111
χ511111111111-1111111-1-1-1-111111-1-111-1-1-1-1-1-11111-1-1-1-1-111
χ611111111111-1111111-1-1-1-111111-1-1-1-11111111-1-11-1-111-1-1-1
χ711111111111-1111111-1-1-1-1111-1-11111-1-11111-111-111-1-1-1-1-1
χ811111111111-1111111-1-1-1-1111-1-111-1-111-1-1-1-1-1-1-1-11111-111
χ92222222222222222-2-22222-2-2-200000000000000000000-200
χ1022222222222-22222-2-2-2-2-2-2-2-2-200000000000000000000200
χ11222-2-22222220-2-2-2-22200002-2-20000002i−2i00000000002i−2i000
χ12222-2-22222220-2-2-2-22200002-2-2000000−2i2i0000000000−2i2i000
χ13222-2-22222220-2-2-2-2-2-20000-22200002-200000002-200000000
χ14222-2-22222220-2-2-2-2-2-20000-2220000-220000000-2200000000
χ1522-22-22222-2-202-2-22220000-22-20000000022-2-200000000000
χ1622-22-22222-2-202-2-22220000-22-200000000-2-22200000000000
χ1722-22-22222-2-202-2-22-2-200002-220000000000000000000002-2
χ1822-22-22222-2-202-2-22-2-200002-22000000000000000000000-22
χ1922-2-222222-2-20-222-2220000-2-222-20000000000200-20000000
χ2022-2-222222-2-20-222-2220000-2-22-220000000000-20020000000
χ2122-2-222222-2-20-222-2-2-2000022-2002-20000000000002-200000
χ2222-2-222222-2-20-222-2-2-2000022-200-22000000000000-2200000
χ23444441-21-21-24-21-210011-2-20000000222200000-1-1000-1-1000
χ24444441-21-21-24-21-210011-2-20000000-2-2-2-2000001100011000
χ25444441-21-21-2-4-21-2100-1-122000000022-2-200000-1-100011000
χ26444441-21-21-2-4-21-2100-1-1220000000-2-2220000011000-1-1000
χ2744444-21-21-2141-21-200-2-211000222200000000-100-1-1-100000
χ2844444-21-21-2141-21-200-2-211000-2-2-2-20000000010011100000
χ2944444-21-21-21-41-21-20022-1-100022-2-200000000-100-11100000
χ3044444-21-21-21-41-21-20022-1-1000-2-222000000001001-1-100000
χ31444-4-41-21-21-202-12-1003i−3i0000000002-22i−2i00000-11000−ii000
χ32444-4-41-21-21-202-12-1003i−3i000000000-22−2i2i000001-1000i−i000
χ33444-4-41-21-21-202-12-100−3i3i0000000002-2−2i2i00000-11000i−i000
χ34444-4-41-21-21-202-12-100−3i3i000000000-222i−2i000001-1000−ii000
χ3544-4-44-21-212-10-1-21200003-30002-22-200000000-1001-1100000
χ3644-4-44-21-212-10-1-21200003-3000-22-2200000000100-11-100000
χ3744-4-44-21-212-10-1-2120000-330002-2-2200000000-10011-100000
χ3844-4-44-21-212-10-1-2120000-33000-222-200000000100-1-1100000
χ394-400044-4-400000004-40000000000000000022−2200000000000
χ404-400044-4-400000004-400000000000000000−222200000000000
χ414-400044-4-40000000-4400000000000000022−220000000000000
χ424-400044-4-40000000-44000000000000000−22220000000000000
χ43888-8-8-42-42-420-24-2400000000000000000000000000000000
χ4488-88-82-42-4-240-4-24200000000000000000000000000000000
χ4588-88-8-42-424-2024-2-400000000000000000000000000000000
χ4688-8-882-42-4-24042-4-200000000000000000000000000000000
χ4716-160004-8-48000000000000000000000000000000000000000
χ4816-16000-848-4000000000000000000000000000000000000000

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