Finite Group Databasebeta

← Group #11772818

Character table — Group #11772818

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42
size112444444444888888888888816161616161616161672727272144144144144
order12233466666641212121212121212121212124121212121212121224884488
χ1111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1i−ii−i
χ41111111111111111111111111111111111-1-1-1-1−ii−ii
χ51111111111111111111111111-1-1-1-1-1-1-1-1-111-1-111-1-1
χ61111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-111
χ71111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111i−i−ii
χ81111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111−iii−i
χ9222222222222-2-2-2-2-2-2-2-2-222220000000002-2000000
χ10222222222222-2-2-2-2-2-2-2-2-22222000000000-22000000
χ114441-2411-2-21-241111-2-2-2-211-2-241111-2-2-2-200000000
χ124441-2411-2-21-241111-2-2-2-211-2-2-4-1-1-1-1222200000000
χ134441-2411-2-21-2-4-1-1-1-1222211-2-2033-3-3000000000000
χ144441-2411-2-21-2-4-1-1-1-1222211-2-20-3-333000000000000
χ154441-2-411-2-21-2033-3-30000-1-1220−i3i3−i3i300−2i32i300000000
χ164441-2-411-2-21-2033-3-30000-1-1220i3−i3i3−i3002i3−2i300000000
χ174441-2-411-2-21-20-3-3330000-1-1220−i3i3i3−i3−2i32i30000000000
χ184441-2-411-2-21-20-3-3330000-1-1220i3−i3−i3i32i3−2i30000000000
χ1944444-4444444000000000-4-4-4-400000000000000000
χ20444-214-2-211-214-2-2-2-21111-2-2114-2-2-2-2111100000000
χ21444-214-2-211-214-2-2-2-21111-2-211-42222-1-1-1-100000000
χ22444-214-2-211-21-42222-1-1-1-1-2-2110000033-3-300000000
χ23444-214-2-211-21-42222-1-1-1-1-2-21100000-3-33300000000
χ24444-21-4-2-211-210000033-3-322-1-1000−2i32i3−i3i3i3−i300000000
χ25444-21-4-2-211-210000033-3-322-1-10002i3−2i3i3−i3−i3i300000000
χ26444-21-4-2-211-2100000-3-33322-1-10−2i32i300i3−i3i3−i300000000
χ27444-21-4-2-211-2100000-3-33322-1-102i3−2i300−i3i3−i3i300000000
χ2844-4440-4-4-4-4440000000000000000000000002-20000
χ2944-4440-4-4-4-444000000000000000000000000-220000
χ3088-82-40-2-2442-40000000006-60000000000000000000
χ3188-82-40-2-2442-4000000000-660000000000000000000
χ3288-8-42044-2-2-42000000000006-600000000000000000
χ3388-8-42044-2-2-4200000000000-6600000000000000000
χ348-802-406-600-24000−2i32i3−2i32i3−2i32i3000000000000000000000
χ358-802-406-600-240002i3−2i32i3−2i32i3−2i3000000000000000000000
χ368-802-40-6600-240−2i32i300−2i32i32i3−2i3000000000000000000000
χ378-802-40-6600-2402i3−2i3002i3−2i3−2i32i3000000000000000000000
χ388-808800000-8-8000000000000000000000000000000
χ398-80-420006-64-20−2i32i3−2i32i32i3−2i300000000000000000000000
χ408-80-420006-64-202i3−2i32i3−2i3−2i32i300000000000000000000000
χ418-80-42000-664-20−2i32i32i3−2i300−2i32i3000000000000000000000
χ428-80-42000-664-202i3−2i3−2i32i3002i3−2i3000000000000000000000

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