Finite Group Databasebeta

← Group #11772755

Character table — Group #11772755

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39
size11244444888888816161616161616161616161616363672727272727272144144
order122334662661212121266668242424242424242444244888888
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
χ51111111111111111111-1-1-1-1-1-1-1-1-111-1-111111-1-1
χ61111111111111111111-1-1-1-1-1-1-1-1-111-1-11-1-1-1-111
χ71111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1ii−i−i−ii
χ81111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1−i−iiii−i
χ922222222-2222222-2-2-2-20000000002200-2000000
χ1022222222-2222222-2-2-2-2000000000-2-2002000000
χ114441-241-241-211-2-211-2-241111-2-2-2-200000000000
χ124441-241-241-211-2-211-2-2-4-1-1-1-1222200000000000
χ134441-241-2-41-211-2-2-1-122033-3-3000000000000000
χ144441-241-2-41-211-2-2-1-1220-3-333000000000000000
χ154441-2-41-201-2-1-1223-30003−33−30023−2300000000000
χ164441-2-41-201-2-1-1223-3000−33−3300−232300000000000
χ174441-2-41-201-2-1-122-330003−3−3323−230000000000000
χ184441-2-41-201-2-1-122-33000−333−3−23230000000000000
χ1944444-444044-4-4-4-4000000000000000000000000
χ20444-214-214-21-2-211-2-2114-2-2-2-2111100000000000
χ21444-214-214-21-2-211-2-211-42222-1-1-1-100000000000
χ22444-214-21-4-21-2-21122-1-10000033-3-300000000000
χ23444-214-21-4-21-2-21122-1-100000-3-33300000000000
χ24444-21-4-210-2122-1-1003-300023−233−3−3300000000000
χ25444-21-4-210-2122-1-1003-3000−2323−333−300000000000
χ26444-21-4-210-2122-1-100-33023−2300−33−3300000000000
χ27444-21-4-210-2122-1-100-330−2323003−33−300000000000
χ2844-4440440-4-400000000000000000002-20000000
χ2944-4440440-4-40000000000000000000-220000000
χ304-40440-4-4000000000000000000002i−2i0001+i−1−i1−i−1+i00
χ314-40440-4-4000000000000000000002i−2i000−1−i1+i−1+i1−i00
χ324-40440-4-400000000000000000000−2i2i0001−i−1+i1+i−1−i00
χ334-40440-4-400000000000000000000−2i2i000−1+i1−i−1−i1+i00
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).