Finite Group Databasebeta

← Group #11793870

Character table — Group #11793870

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size112224444888888899161616161818182424242424242424363636364848484848484848727272
order12244336626612121212446666224248888884444612242424242424488
χ1111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11-1-1
χ31111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111111-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111
χ5111111111-111111111-1-1-1-11111111-1-1-1-1111111-1-111-1-1-1-1-1
χ6111111111-111111111-1-1-1-111111-1-1-1-111-1-1-1-111-1-1-1-111-111
χ7111111111-111111111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-11111-1-1-111
χ8111111111-111111111-1-1-1-1111-1-1-1-111111111-1-111-1-111-1-1-1
χ92222222222222222-2-22222-2-2-200000000000000000000-200
χ10222222222-2222222-2-2-2-2-2-2-2-2-200000000000000000000200
χ11222-2-22222022-2-2-2-2220000-2-22002i−2i0000000000002i−2i00000
χ12222-2-22222022-2-2-2-2220000-2-2200−2i2i000000000000−2i2i00000
χ13222-2-22222022-2-2-2-2-2-2000022-20000002i−2i00000000002i−2i000
χ14222-2-22222022-2-2-2-2-2-2000022-2000000−2i2i0000000000−2i2i000
χ1522-22-222220-2-222-2-22200002-2-20000000000000000000002i−2i
χ1622-22-222220-2-222-2-22200002-2-2000000000000000000000−2i2i
χ1722-22-222220-2-222-2-2-2-20000-2220000000022-2-200000000000
χ1822-22-222220-2-222-2-2-2-20000-22200000000-2-22200000000000
χ1922-2-2222220-2-2-2-222220000-22-200002-2000000002-20000000
χ2022-2-2222220-2-2-2-222220000-22-20000-2200000000-220000000
χ2122-2-2222220-2-2-2-222-2-200002-222-200000000002-2000000000
χ2222-2-2222220-2-2-2-222-2-200002-22-220000000000-22000000000
χ23444441-21-241-2-211-20011-2-20000022002200000000-1-1-1-1000
χ24444441-21-241-2-211-20011-2-200000-2-200-2-2000000001111000
χ25444441-21-2-41-2-211-200-1-122000002200-2-200000000-1-111000
χ26444441-21-2-41-2-211-200-1-12200000-2-200220000000011-1-1000
χ2744444-21-214-211-2-2100-2-211000220022000000-1-1-1-10000000
χ2844444-21-214-211-2-2100-2-211000-2-200-2-200000011110000000
χ2944444-21-21-4-211-2-210022-1-10002200-2-2000000-1-1110000000
χ3044444-21-21-4-211-2-210022-1-1000-2-2002200000011-1-10000000
χ31444-4-41-21-201-22-1-12003-300000002i−2i002i−2i00000000−ii−ii000
χ32444-4-41-21-201-22-1-12003-30000000−2i2i00−2i2i00000000i−ii−i000
χ33444-4-41-21-201-22-1-1200-3300000002i−2i00−2i2i00000000−iii−i000
χ34444-4-41-21-201-22-1-1200-330000000−2i2i002i−2i00000000i−i−ii000
χ3544-4-44-21-2102-1-12-2100003-30002-2002-2000000-11-110000000
χ3644-4-44-21-2102-1-12-2100003-3000-2200-220000001-11-10000000
χ3744-4-44-21-2102-1-12-210000-330002-200-22000000-111-10000000
χ3844-4-44-21-2102-1-12-210000-33000-22002-20000001-1-110000000
χ394-400044-4-400000004i−4i0000000000000002-22i−2i00000000000
χ404-400044-4-400000004i−4i000000000000000-22−2i2i00000000000
χ414-400044-4-40000000−4i4i0000000000000002-2−2i2i00000000000
χ424-400044-4-40000000−4i4i000000000000000-222i−2i00000000000
χ43888-8-8-42-420-42-244-200000000000000000000000000000000
χ4488-88-82-42-40-24-42-2400000000000000000000000000000000
χ4588-88-8-42-4204-22-44-200000000000000000000000000000000
χ4688-8-882-42-40-244-22-400000000000000000000000000000000
χ4716-160004-8-48000000000000000000000000000000000000000
χ4816-16000-848-4000000000000000000000000000000000000000

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