Finite Group Databasebeta

← Group #11772890

Character table — Group #11772890

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39
size1124444444888888161616162424242424244848484848484848487272144144
order122334666646121212121212121288242424244881212242424244488
χ1111111111111111111111111111111111111111
χ2111111111111111111111111111-1-111-1-1-1-111-1-1
χ311111111111111111111-1-1-1-1-1-1-111-1-1111111-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111-1111-1-11-1-1-1111111-1i−i-1-1ii−i−i1-1i−i
χ61111111111-1111-1-11-1-1-1111111-1−ii-1-1−i−iii1-1−ii
χ71111111111-1111-1-11-1-1-1-1-1-1-1-1-11i−i11ii−i−i1-1−ii
χ81111111111-1111-1-11-1-1-1-1-1-1-1-1-11−ii11−i−iii1-1i−i
χ922222222222222222222000000000000000-2-200
χ102222222222-2222-2-22-2-2-2000000000000000-2200
χ114441-2411-214-211-2-2-211-222-1-1-1-1200-1-100000000
χ124441-2411-214-211-2-2-211-2-2-21111-2001100000000
χ134441-2411-21-4-21122-2-1-1222-1-1-1-1-2001100000000
χ144441-2411-21-4-21122-2-1-12-2-21111200-1-100000000
χ1544444-4444404-4-400-40000000000000000000000
χ16444-214-2-21-241-2-2111-2-2100000002200-1-1-1-10000
χ17444-214-2-21-241-2-2111-2-210000000-2-20011110000
χ18444-214-2-21-2-41-2-2-1-1122-100000002i−2i00−i−iii0000
χ19444-214-2-21-2-41-2-2-1-1122-10000000−2i2i00ii−i−i0000
χ20444-21-4-2-21-2012233-100-3000000000003−33−30000
χ21444-21-4-2-21-2012233-100-300000000000−33−330000
χ22444-21-4-2-21-20122-3-3-100300000000000−i3i3i3−i30000
χ23444-21-4-2-21-20122-3-3-100300000000000i3−i3−i3i30000
χ2444-41-20-11-2-102-33−2i32i30−i3i302i−2iii−i−i0003−300000000
χ2544-41-20-11-2-102-33−2i32i30−i3i30−2i2i−i−iii000−3300000000
χ2644-41-20-11-2-102-332i3−2i30i3−i302i−2iii−i−i000−3300000000
χ2744-41-20-11-2-102-332i3−2i30i3−i30−2i2i−i−iii0003−300000000
χ2844-4440-444-40-4000000002i−2i−2i−2i2i2i0000000000000
χ2944-4440-444-40-400000000−2i2i2i2i−2i−2i0000000000000
χ308882-4-822-420-4-2-20040000000000000000000000
χ3188-82-40-22-4-2046-60000000000000000000000000
χ3288-8-4204-4240-200−2i32i302i3−2i300000000000000000000
χ3388-8-4204-4240-2002i3−2i30−2i32i300000000000000000000
χ348-802-406-24-60000000000006−66−60000000000000
χ358-802-406-24-6000000000000−66−660000000000000
χ368-802-40-6-246000000000000i6−i6−i6i60000000000000
χ378-802-40-6-246000000000000−i6i6i6−i60000000000000
χ388-808800-8-8000000000000000000000000000000
χ3916-160-84008-4000000000000000000000000000000

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