Finite Group Databasebeta

← Group #11793124

Character table — Group #11793124

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36
size112228888899161616161616181818363636367272727272727272727272
order122443466644121212121212224444424444448888
χ1111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-111
χ3111111111111111111111-1-1-1-111111-1-1-1-1-1-1
χ4111111111111111111111-1-1-1-11-1-1-1-11111-1-1
χ5111111-11111111-1-1-1-11111111-111-1-1-1-111-1-1
χ6111111-11111111-1-1-1-11111111-1-1-11111-1-1-1-1
χ7111111-11111111-1-1-1-1111-1-1-1-1-111-1-111-1-111
χ8111111-11111111-1-1-1-1111-1-1-1-1-1-1-111-1-11111
χ92222222222-2-2222222-2-2-20000-20000000000
χ10222222-2222-2-222-2-2-2-2-2-2-2000020000000000
χ11222-2-22022222-2-20000-2-22000002i−2i00000000
χ12222-2-22022222-2-20000-2-2200000−2i2i00000000
χ13222-2-220222-2-2-2-2000022-200000002-2000000
χ14222-2-220222-2-2-2-2000022-20000000-22000000
χ1522-22-220-2-22222-200002-2-200000000000002i−2i
χ1622-22-220-2-22222-200002-2-20000000000000−2i2i
χ1722-22-220-2-22-2-22-20000-22222-2-200000000000
χ1822-22-220-2-22-2-22-20000-222-2-22200000000000
χ1922-2-2220-2-2222-220000-22-20000000002-20000
χ2022-2-2220-2-2222-220000-22-2000000000-220000
χ2122-2-2220-2-22-2-2-2200002-22000000000002i−2i00
χ2222-2-2220-2-22-2-2-2200002-2200000000000−2i2i00
χ234-40004000-44i−4i0000000002-22i−2i00000000000
χ244-40004000-44i−4i000000000-22−2i2i00000000000
χ254-40004000-4−4i4i0000000002-2−2i2i00000000000
χ264-40004000-4−4i4i000000000-222i−2i00000000000
χ2788888-18-1-1-100-1-1-1-1-1-1000000000000000000
χ2888888-1-8-1-1-100-1-11111000000000000000000
χ29888-8-8-10-1-1-1001133-3-3000000000000000000
χ30888-8-8-10-1-1-10011-3-333000000000000000000
χ3188-88-8-1011-100-113-33-3000000000000000000
χ3288-88-8-1011-100-11-33-33000000000000000000
χ3388-8-88-1011-1001-13-3-33000000000000000000
χ3488-8-88-1011-1001-1-333-3000000000000000000
χ3516-16000-206-6200000000000000000000000000
χ3616-16000-20-66200000000000000000000000000

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