Finite Group Databasebeta

← Group #11792176

Character table — Group #11792176

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size112224444888888899161616161818182424242424242424363636364848484848484848727272
order1224433666681212121222242424242442224448844446661212122424448
χ1111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-111-1-1-1-1-111-1-1-111-1-11
χ31111111111111111111111111-1-11111-1-1-1-1-1-11-1-1111-1-1-1-11
χ41111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111
χ511111111111-1111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111-1
χ611111111111-1111111-1-1-1-111111-1-111-1-11111-111-111-1-1-1-1-1
χ711111111111-1111111-1-1-1-1111-1-111-1-11111111-1-11-1-111-1-1-1
χ811111111111-1111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1
χ92222222222222222-2-22222-2-2-20000000000000000000000-2
χ1022222222222-22222-2-2-2-2-2-2-2-2-200000000000000000000002
χ11222-2-22222220-2-2-2-22200002-2-22-2000000000002-200000000
χ12222-2-22222220-2-2-2-22200002-2-2-2200000000000-2200000000
χ13222-2-22222220-2-2-2-2-2-20000-2220000002i−2i00000000002i−2i000
χ14222-2-22222220-2-2-2-2-2-20000-222000000−2i2i0000000000−2i2i000
χ1522-22-22222-2-202-2-22220000-22-2000000000000000000002-20
χ1622-22-22222-2-202-2-22220000-22-200000000000000000000-220
χ1722-22-22222-2-202-2-22-2-200002-220000000022-2-200000000000
χ1822-22-22222-2-202-2-22-2-200002-2200000000-2-22200000000000
χ1922-2-222222-2-20-222-2220000-2-22002-200000000200-20000000
χ2022-2-222222-2-20-222-2220000-2-2200-2200000000-20020000000
χ2122-2-222222-2-20-222-2-2-2000022-200002-200000000002-200000
χ2222-2-222222-2-20-222-2-2-2000022-20000-220000000000-2200000
χ23444441-2-211-241-21-20011-2-2000002222000000-100-1-1-100000
χ24444441-2-211-241-21-20011-2-200000-2-2-2-200000010011100000
χ25444441-2-211-2-41-21-200-1-1220000022-2-2000000-100-11100000
χ26444441-2-211-2-41-21-200-1-12200000-2-2220000001001-1-100000
χ2744444-211-2-214-21-2100-2-2110002200002200000-1-1000-1-1000
χ2844444-211-2-214-21-2100-2-211000-2-20000-2-2000001100011000
χ2944444-211-2-21-4-21-210022-1-1000220000-2-200000-1-100011000
χ3044444-211-2-21-4-21-210022-1-1000-2-20000220000011000-1-1000
χ31444-4-4-211-2-2102-12-100003i−3i0002-200002i−2i00000-11000−ii000
χ32444-4-4-211-2-2102-12-100003i−3i000-220000−2i2i000001-1000i−i000
χ33444-4-4-211-2-2102-12-10000−3i3i0002-20000−2i2i00000-11000i−i000
χ34444-4-4-211-2-2102-12-10000−3i3i000-2200002i−2i000001-1000−ii000
χ3544-4-441-2-21-120-1-212003-300000002-22-2000000-1001-1100000
χ3644-4-441-2-21-120-1-212003-30000000-22-22000000100-11-100000
χ3744-4-441-2-21-120-1-21200-3300000002-2-22000000-10011-100000
χ3844-4-441-2-21-120-1-21200-330000000-222-2000000100-1-1100000
χ394-400044-4-400000004-40000000000000002i−2i2i−2i00000000000
χ404-400044-4-400000004-4000000000000000−2i2i−2i2i00000000000
χ414-400044-4-40000000-440000000000000002i−2i−2i2i00000000000
χ424-400044-4-40000000-44000000000000000−2i2i2i−2i00000000000
χ43888-8-82-4-422-40-24-2400000000000000000000000000000000
χ4488-88-82-4-42-24024-2-400000000000000000000000000000000
χ4588-88-8-422-44-20-4-24200000000000000000000000000000000
χ4688-8-88-422-44-2042-4-200000000000000000000000000000000
χ4716-160004-88-4000000000000000000000000000000000000000
χ4816-16000-84-48000000000000000000000000000000000000000

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