Finite Group Databasebeta

← Group #11772875

Character table — Group #11772875

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42
size112444444444888888888888816161616161616161672727272144144144144
order12233466666641212121212121212121212124121212121212121222884444
χ1111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1ii−i−i
χ41111111111111111111111111111111111-1-1-1-1−i−iii
χ51111111111111111111111111-1-1-1-1-1-1-1-1-111-1-11-11-1
χ61111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-11-11
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
χ9222222222222-22222-2-2-2-2-2-2-2-20000000002-2000000
χ10222222222222-22222-2-2-2-2-2-2-2-2000000000-22000000
χ114441-241-211-2-2411-2-21111-2-2-2-241111-2-2-2-200000000
χ124441-241-211-2-2411-2-21111-2-2-2-2-4-1-1-1-1222200000000
χ134441-241-211-2-2-411-2-2-1-1-1-12222033-3-3000000000000
χ144441-241-211-2-2-411-2-2-1-1-1-122220-3-333000000000000
χ154441-2-41-211-2-20-1-12233-3-300000−i3i3−i3i300−2i32i300000000
χ164441-2-41-211-2-20-1-12233-3-300000i3−i3i3−i3002i3−2i300000000
χ174441-2-41-211-2-20-1-122-3-33300000−i3i3i3−i3−2i32i30000000000
χ184441-2-41-211-2-20-1-122-3-33300000i3−i3−i3i32i3−2i30000000000
χ1944444-44444440-4-4-4-40000000000000000000000000
χ20444-214-21-2-2114-2-211-2-2-2-211114-2-2-2-2111100000000
χ21444-214-21-2-2114-2-211-2-2-2-21111-42222-1-1-1-100000000
χ22444-214-21-2-211-4-2-2112222-1-1-1-10000033-3-300000000
χ23444-214-21-2-211-4-2-2112222-1-1-1-100000-3-33300000000
χ24444-21-4-21-2-211022-1-1000033-3-3000−2i32i3−i3i3i3−i300000000
χ25444-21-4-21-2-211022-1-1000033-3-30002i3−2i3i3−i3−i3i300000000
χ26444-21-4-21-2-211022-1-10000-3-3330−2i32i300i3−i3i3−i300000000
χ27444-21-4-21-2-211022-1-10000-3-33302i3−2i300−i3i3−i3i300000000
χ2844-444044-4-4-4-40000000000000000000000002i−2i0000
χ2944-444044-4-4-4-4000000000000000000000000−2i2i0000
χ3088-82-402-4-2-24406-6000000000000000000000000000
χ3188-82-402-4-2-2440-66000000000000000000000000000
χ3288-8-420-4244-2-20006-60000000000000000000000000
χ3388-8-420-4244-2-2000-660000000000000000000000000
χ348-802-40-246-600000000023−2323−2323−2300000000000000000
χ358-802-40-246-6000000000−2323−2323−232300000000000000000
χ368-802-40-24-66000000023−230023−23−232300000000000000000
χ378-802-40-24-660000000−232300−232323−2300000000000000000
χ388-80880-8-80000000000000000000000000000000000
χ398-80-4204-2006-60000023−2323−23−23230000000000000000000
χ408-80-4204-2006-600000−2323−232323−230000000000000000000
χ418-80-4204-200-660000023−23−23230023−2300000000000000000
χ428-80-4204-200-6600000−232323−2300−232300000000000000000

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