Finite Group Databasebeta

← Group #11772807

Character table — Group #11772807

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39
size1124444444888888161616162424242424244848484848484848487272144144
order12233466662666121266612882424242424466121212124488
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
χ51111111111-11-1-111-1-1-11111111-1i−i-1-1ii−i−i1-1i−i
χ61111111111-11-1-111-1-1-11111111-1−ii-1-1−i−iii1-1−ii
χ71111111111-11-1-111-1-1-11-1-1-1-1-1-11i−i11ii−i−i1-1−ii
χ81111111111-11-1-111-1-1-11-1-1-1-1-1-11−ii11−i−iii1-1i−i
χ922222222222222222222000000000000000-2-200
χ102222222222-22-2-222-2-2-22000000000000000-2200
χ114441-24-2-21-24111-2-21-2-2100000002200-1-1-1-10000
χ124441-24-2-21-24111-2-21-2-210000000-2-20011110000
χ134441-24-2-21-2-41-1-1-2-2-122100000002i−2i00−i−iii0000
χ144441-24-2-21-2-41-1-1-2-2-12210000000−2i2i00ii−i−i0000
χ154441-2-4-2-21-2013322-300-1000000000003−33−30000
χ164441-2-4-2-21-2013322-300-100000000000−33−330000
χ174441-2-4-2-21-201-3-322300-100000000000−i3i3i3−i30000
χ184441-2-4-2-21-201-3-322300-100000000000i3−i3−i3i30000
χ1944444-444440400-4-4000-40000000000000000000
χ20444-21411-214-2-2-211-211-222-1-1-1-1200-1-100000000
χ21444-21411-214-2-2-211-211-2-2-21111-2001100000000
χ22444-21411-21-4-222112-1-1-222-1-1-1-1-2001100000000
χ23444-21411-21-4-222112-1-1-2-2-21111200-1-100000000
χ2444-4440-4-4440-4000000002-222-2-20000000000000
χ2544-4440-4-4440-400000000-22-2-2220000000000000
χ2644-4-210-1-1-2102−2i32i33-30−i3i302-2-1-111000−i3i300000000
χ2744-4-210-1-1-2102−2i32i33-30−i3i30-2211-1-1000i3−i300000000
χ2844-4-210-1-1-21022i3−2i33-30i3−i302-2-1-111000i3−i300000000
χ2944-4-210-1-1-21022i3−2i33-30i3−i30-2211-1-1000−i3i300000000
χ30888-42-822-420-400-2-200040000000000000000000
χ3188-82-40442-40-2−2i32i30002i3−2i300000000000000000000
χ3288-82-40442-40-22i3−2i3000−2i32i300000000000000000000
χ3388-8-420-2-2-420400-6600000000000000000000000
χ348-8088000-8-800000000000000000000000000000
χ358-80-4206-64-2000000000000i6−i6i6−i60000000000000
χ368-80-4206-64-2000000000000−i6i6−i6i60000000000000
χ378-80-420-664-2000000000000i6−i6−i6i60000000000000
χ388-80-420-664-2000000000000−i6i6i6−i60000000000000
χ3916-1604-8000-4800000000000000000000000000000

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