Finite Group Databasebeta

← Group #11715692

Character table — Group #11715692

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38
size1123333334666661212121212122424242424242424323248484848646464
order124222222222444222224888888883624446612
χ111111111111111111111111111111111111111
χ2111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111
χ3111111111-111111-1-1-1-1-111111111111-1-1-1-1-1-11
χ4111111111-111111-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1-11
χ522222222222222222222200000000-1-10000-1-1-1
χ6222222222-222222-2-2-2-2-2200000000-1-1000011-1
χ722-2222222022-2-2-200000-20000000022000000-2
χ822-2222222022-2-2-200000-200000000-1-10000−i3i31
χ922-2222222022-2-2-200000-200000000-1-10000i3−i31
χ102-20-2-2-222202-20000000002−2222−2−2−22-20000000
χ112-20-2-2-222202-2000000000−22−2−2−22222-20000000
χ123333-1-13-1-13-1-13-1-13-1-1-1-1-1111-1-11-1-10011-1-1000
χ133333-1-13-1-13-1-13-1-13-1-1-1-1-1-1-1-111-11100-1-111000
χ143333-1-13-1-1-3-1-13-1-1-31111-1111-1-11-1-100-1-111000
χ153333-1-13-1-1-3-1-13-1-1-31111-1-1-1-111-1110011-1-1000
χ16333-13-1-13-13-1-1-13-1-13-1-1-1-111-11-1-11-1001-11-1000
χ17333-13-1-13-13-1-1-13-1-13-1-1-1-1-1-11-111-1100-11-11000
χ18333-13-1-13-1-3-1-1-13-11-3111-111-11-1-11-100-11-11000
χ19333-13-1-13-1-3-1-1-13-11-3111-1-1-11-111-11001-11-1000
χ20333-1-13-1-133-1-1-1-13-1-13-1-1-111-1-11-1-11001-1-11000
χ21333-1-13-1-133-1-1-1-13-1-13-1-1-1-1-111-111-100-111-1000
χ22333-1-13-1-13-3-1-1-1-1311-311-111-1-11-1-1100-111-1000
χ23333-1-13-1-13-3-1-1-1-1311-311-1-1-111-111-1001-1-11000
χ244-40-4-4-444404-400000000000000000-220000000
χ25666-2-2-2-2-2-2622-2-2-2-2-2-222200000000000000000
χ26666-2-2-2-2-2-2-622-2-2-2222-2-2200000000000000000
χ2766-66-2-26-2-20-2-2-62200000200000000000000000
χ2866-6-26-2-26-20-2-22-6200000200000000000000000
χ2966-6-2-26-2-260-2-222-600000200000000000000000
χ3066-6-2-2-2-2-2-20222220004-4-200000000000000000
χ3166-6-2-2-2-2-2-2022222000-44-200000000000000000
χ326-6022-6-2-260-220000000002−2−2−2222−2000000000
χ336-6022-6-2-260-22000000000−2222−2−2−22000000000
χ346-602-62-26-20-220000000002−2−22−22−22000000000
χ356-602-62-26-20-22000000000−222−22−22−2000000000
χ366-60-6226-2-20-220000000002−22−2−2−222000000000
χ376-60-6226-2-20-22000000000−22−2222−2−2000000000
χ3812-120444-4-4-404-400000000000000000000000000

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