Finite Group Databasebeta

← Group #11921466

Character table — Group #11921466

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38
size1111666688888888323232323232323236363636364848484872727272144
order122244443366666633666666488881212121288882
χ111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-11111-1-1-1-1-1
χ3222222222-122-1-12-1-1-1-1-1-1-1-1-12000022-1-100000
χ422222222-12-1-122-12-1-1-1-1-1-1-1-120000-1-12200000
χ522222222-1-1-1-1-1-1-1-12-1222-1-1-120000-1-1-1-100000
χ622222222-1-1-1-1-1-1-1-1-12-1-1-122220000-1-1-1-100000
χ722-2-20-2022-12-211-2-1-1-111-111-10i2i2−i2−i2001-100i2−i20
χ822-2-20-2022-12-211-2-1-1-111-111-10−i2−i2i2i2001-100−i2i20
χ92-22-2-2020-12112-2-1-2-1-11-111-110i2−i2i2−i21-100i2−i2000
χ102-22-2-2020-12112-2-1-2-1-11-111-110−i2i2−i2i21-100−i2i2000
χ1133333-13-10300330300000000-1111100-1-111-1-1-1
χ1233333-13-10300330300000000-1-1-1-1-100-1-1-1-1111
χ133333-13-133033003000000000-11111-1-100-1-111-1
χ143333-13-133033003000000000-1-1-1-1-1-1-10011-1-11
χ1544-4-40-404414-4-1-1-4111-1-11-1-110000000-1100000
χ1644-4-40-404-21-22-1-1211-2-1-1122-20000000-1100000
χ1744-4-40-404-21-22-1-121-2122-2-1-110000000-1100000
χ1844-4-40-404-2-2-22222-211-1-11-1-1100000002-200000
χ194-44-4-404014-1-14-41-411-11-1-11-100000-110000000
χ204-44-4-40401-2-1-1-22121-2-11-12-2200000-110000000
χ214-44-4-40401-2-1-1-2212-212-22-11-100000-110000000
χ224-44-4-4040-2-222-22-2211-11-1-11-1000002-20000000
χ234-4-440000-2-22-22-222111-1-11-1-102-2-22000000000
χ244-4-440000-2-22-22-222111-1-11-1-10-222-2000000000
χ2566666-26-20-300-3-30-300000000-20000001100000
χ266666-26-26-30-3-300-3000000000-20000110000000
χ2766-6-6020-20-300330-3000000000i2i2−i2−i200-1100−i2i20
χ2866-6-6020-20-300330-3000000000−i2−i2i2i200-1100i2−i20
χ296-66-620-20-303300-30000000000i2−i2i2−i2-1100−i2i2000
χ306-66-620-20-303300-30000000000−i2i2−i2i2-1100i2−i2000
χ318-8-88000022-22-22-2-22-12-2-2-11100000000000000
χ328-8-88000022-22-22-2-2-12-1112-2-200000000000000
χ338-8-8800002-4-224-4-24-1-1-111-11100000000000000
χ348-8-880000-424-4-224-2-1-1-111-11100000000000000
χ359999-3-3-3-30000000000000000111110000-1-1-1-11
χ369999-3-3-3-300000000000000001-1-1-1-100001111-1
χ371212-12-12040-40300-3-3030000000000000001-100000
χ3812-1212-1240-4030-3-3003000000000000001-10000000

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