Finite Group Databasebeta

← Group #11715693

Character table — Group #11715693

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38
size1123333334666661212121212122424242424242424323248484848646464
order12422222242244444444488888888362444121212
χ111111111111111111111111111111111111111
χ2111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111
χ3111111111-1111111-1-1-1-1-11111111111-1-1-1-11-1-1
χ4111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1
χ522222222222222222222200000000-1-10000-1-1-1
χ6222222222-2222222-2-2-2-2-200000000-1-10000-111
χ722-2222222022-2-2-2-20000000000000220000-200
χ822-2222222022-2-2-2-20000000000000-1-100001−i3i3
χ922-2222222022-2-2-2-20000000000000-1-100001i3−i3
χ102-20-2-2-222202-2000000000−i2i2−i2−i2−i2i2i2i22-20000000
χ112-20-2-2-222202-2000000000i2−i2i2i2i2−i2−i2−i22-20000000
χ123333-1-13-1-13-1-13-1-1-13-1-1-1-1111-1-11-1-10011-1-1000
χ133333-1-13-1-13-1-13-1-1-13-1-1-1-1-1-1-111-11100-1-111000
χ143333-1-13-1-1-3-1-13-1-1-1-31111111-1-11-1-100-1-111000
χ153333-1-13-1-1-3-1-13-1-1-1-31111-1-1-111-1110011-1-1000
χ16333-13-1-13-13-1-1-13-1-1-13-1-1-111-11-1-11-1001-11-1000
χ17333-13-1-13-13-1-1-13-1-1-13-1-1-1-1-11-111-1100-11-11000
χ18333-13-1-13-1-3-1-1-13-1-11-311111-11-1-11-100-11-11000
χ19333-13-1-13-1-3-1-1-13-1-11-3111-1-11-111-11001-11-1000
χ20333-1-13-1-133-1-1-1-13-1-1-13-1-111-1-11-1-11001-1-11000
χ21333-1-13-1-133-1-1-1-13-1-1-13-1-1-1-111-111-100-111-1000
χ22333-1-13-1-13-3-1-1-1-13-111-31111-1-11-1-1100-111-1000
χ23333-1-13-1-13-3-1-1-1-13-111-311-1-111-111-1001-1-11000
χ244-40-4-4-444404-400000000000000000-220000000
χ25666-2-2-2-2-2-2622-2-2-22-2-2-22200000000000000000
χ26666-2-2-2-2-2-2-622-2-2-22222-2-200000000000000000
χ2766-66-2-26-2-20-2-2-62220000000000000000000000
χ2866-6-26-2-26-20-2-22-6220000000000000000000000
χ2966-6-2-26-2-260-2-222-620000000000000000000000
χ3066-6-2-2-2-2-2-2022222-20004-400000000000000000
χ3166-6-2-2-2-2-2-2022222-2000-4400000000000000000
χ326-6022-6-2-260-22000000000−i2i2i2i2−i2−i2−i2i2000000000
χ336-6022-6-2-260-22000000000i2−i2−i2−i2i2i2i2−i2000000000
χ346-602-62-26-20-22000000000−i2i2i2−i2i2−i2i2−i2000000000
χ356-602-62-26-20-22000000000i2−i2−i2i2−i2i2−i2i2000000000
χ366-60-6226-2-20-22000000000−i2i2−i2i2i2i2−i2−i2000000000
χ376-60-6226-2-20-22000000000i2−i2i2−i2−i2−i2i2i2000000000
χ3812-120444-4-4-404-400000000000000000000000000

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