Finite Group Databasebeta

← Group #11772787

Character table — Group #11772787

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39
size11244444888888816161616161616161616161616363672727272727272144144
order1223346646612121212812121212242424242424242444244888888
χ1111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1ii−i−ii−i
χ41111111111111111111111111111-1-1-1-1-1−i−iii−ii
χ5111111111111111-11111-1-1-1-1-1-1-1-111-1-111111-1-1
χ6111111111111111-11111-1-1-1-1-1-1-1-111-1-11-1-1-1-111
χ7111111111111111-11111-1-1-1-1-1-1-1-1-1-111-1ii−i−i−ii
χ8111111111111111-11111-1-1-1-1-1-1-1-1-1-111-1−i−iiii−i
χ922222222-22222220-2-2-2-2000000002200-2000000
χ1022222222-22222220-2-2-2-200000000-2-2002000000
χ114441-241-241-211-2-2411-2-21111-2-2-2-200000000000
χ124441-241-241-211-2-2-411-2-2-1-1-1-1222200000000000
χ134441-241-2-41-211-2-20-1-12233-3-3000000000000000
χ144441-241-2-41-211-2-20-1-122-3-333000000000000000
χ154441-2-41-201-2-1-12203-3003−33−30023−2300000000000
χ164441-2-41-201-2-1-12203-300−33−3300−232300000000000
χ174441-2-41-201-2-1-1220-33003−3−3323−230000000000000
χ184441-2-41-201-2-1-1220-3300−333−3−23230000000000000
χ1944444-444044-4-4-4-4000000000000000000000000
χ20444-214-214-21-2-2114-2-211-2-2-2-2111100000000000
χ21444-214-214-21-2-211-4-2-2112222-1-1-1-100000000000
χ22444-214-21-4-21-2-211022-1-1000033-3-300000000000
χ23444-214-21-4-21-2-211022-1-10000-3-33300000000000
χ24444-21-4-210-2122-1-10003-30023−233−3−3300000000000
χ25444-21-4-210-2122-1-10003-300−2323−333−300000000000
χ26444-21-4-210-2122-1-1000-3323−2300−33−3300000000000
χ27444-21-4-210-2122-1-1000-33−2323003−33−300000000000
χ2844-4440440-4-400000000000000000002-20000000
χ2944-4440440-4-40000000000000000000-220000000
χ304-40440-4-4000000000000000000002-20002−22−200
χ314-40440-4-4000000000000000000002-2000−22−2200
χ324-40440-4-400000000000000000000-22000−i2i2i2−i200
χ334-40440-4-400000000000000000000-22000i2−i2−i2i200
χ3488-82-402-40-246-600000000000000000000000000
χ3588-82-402-40-24-6600000000000000000000000000
χ3688-8-420-4204-2006-6000000000000000000000000
χ3788-8-420-4204-200-66000000000000000000000000
χ3816-1604-80-480000000000000000000000000000000
χ3916-160-8408-40000000000000000000000000000000

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