Finite Group Databasebeta

← Group #11772900

Character table — Group #11772900

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45
size11244444444444888888888888161616161616161616363636367272144144144144
order12233444666666121212121212121212121212412121212121212128888244488
χ1111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-1-1-1i−ii−i
χ411111111111111111111111111111111111-1-1-1-1-1-1−ii−ii
χ511111111111111111111111111-1-1-1-1-1-1-1-1-11111-1-1i−i−ii
χ611111111111111111111111111-1-1-1-1-1-1-1-1-11111-1-1−iii−i
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ922222-2-222222222222-2-2-2-2-2-2-2-200000000000002-20000
χ1022222-2-222222222222-2-2-2-2-2-2-2-20000000000000-220000
χ114441-200-41-211-2-222-1-1000033-3-3000−i3−i3−2i32i3i3i30000000000
χ124441-200-41-211-2-222-1-1000033-3-3000i3i32i3−2i3−i3−i30000000000
χ134441-200-41-211-2-222-1-10000-3-3330−2i32i3−i3i300−i3i30000000000
χ144441-200-41-211-2-222-1-10000-3-33302i3−2i3i3−i300i3−i30000000000
χ154441-24441-211-2-2-2-211-2-2-2-211114-2-211-2-2110000000000
χ164441-24441-211-2-2-2-211-2-2-2-21111-422-1-122-1-10000000000
χ174441-2-4-441-211-2-2-2-2112222-1-1-1-10003-300-330000000000
χ184441-2-4-441-211-2-2-2-2112222-1-1-1-1000-33003-30000000000
χ194444400-4444444-4-4-4-4000000000000000000000000000
χ20444-2100-4-21-2-211-1-12233-3-300000−i3i30−2i3i3−i32i300000000000
χ21444-2100-4-21-2-211-1-12233-3-300000i3−i302i3−i3i3−2i300000000000
χ22444-2100-4-21-2-211-1-122-3-33300000−i3i32i30−i3i30−2i30000000000
χ23444-2100-4-21-2-211-1-122-3-33300000i3−i3−2i30i3−i302i30000000000
χ24444-21444-21-2-21111-2-21111-2-2-2-2411-2-211-2-20000000000
χ25444-21444-21-2-21111-2-21111-2-2-2-2-4-1-122-1-1220000000000
χ26444-21-4-44-21-2-21111-2-2-1-1-1-1222203300-3-3000000000000
χ27444-21-4-44-21-2-21111-2-2-1-1-1-122220-3-30033000000000000
χ2844-44400044-4-4-4-40000000000000000000002i2i−2i−2i000000
χ2944-44400044-4-4-4-4000000000000000000000−2i−2i2i2i000000
χ304-40442i−2i0-4-4000000002i−2i2i−2i2i−2i2i−2i0000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000
χ314-40442i−2i0-4-4000000002i−2i2i−2i2i−2i2i−2i000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000
χ324-4044−2i2i0-4-400000000−2i2i−2i2i−2i2i−2i2i000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000
χ334-4044−2i2i0-4-400000000−2i2i−2i2i−2i2i−2i2i0000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000
χ3488-82-40002-4-2-244006-6000000000000000000000000000
χ3588-82-40002-4-2-24400-66000000000000000000000000000
χ3688-8-42000-4244-2-26-600000000000000000000000000000
χ3788-8-42000-4244-2-2-6600000000000000000000000000000
χ388-802-44i−4i0-246-6000000−2i2i−2i2i4i−4i−2i2i0000000000000000000
χ398-802-44i−4i0-24-66000000−2i2i−2i2i−2i2i4i−4i0000000000000000000
χ408-802-4−4i4i0-246-60000002i−2i2i−2i−4i4i2i−2i0000000000000000000
χ418-802-4−4i4i0-24-660000002i−2i2i−2i2i−2i−4i4i0000000000000000000
χ428-80-424i−4i04-2006-600004i−4i−2i2i−2i2i−2i2i0000000000000000000
χ438-80-424i−4i04-200-660000−2i2i4i−4i−2i2i−2i2i0000000000000000000
χ448-80-42−4i4i04-2006-60000−4i4i2i−2i2i−2i2i−2i0000000000000000000
χ458-80-42−4i4i04-200-6600002i−2i−4i4i2i−2i2i−2i0000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.