Finite Group Databasebeta

← Group #11799759

Character table — Group #11799759

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51
size112224444444444888888888888181818182424242436364848484848484848484872727272
order122443344666612126121212121212121212121288882488884461212121212242416161616
χ1111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1
χ31111111111111111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1
χ41111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ51111111-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-11-11-11111-1-1-1-111-1-1
χ61111111-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-11-1-1111-1-111-1-1-1-111
χ71111111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1111-11-1-1-111-1-111-1-111
χ81111111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1111-1-11-1-1-1-1111111-1-1
χ9222222222222222222222222222-2-2-2-20000-2-200000000000000
χ102222222-2-22222222222-2-2-2-2-2-2-2-222-2-20000-2200000000000000
χ1122-22-2220022-2-2-2-2-22-22000000000022002i−2i-20000000002i−2i0000
χ1222-22-2220022-2-2-2-2-22-2200000000002200−2i2i-2000000000−2i2i0000
χ1322-22-2220022-2-2-2-2-22-220000000000-2-22-20020002-20000000000
χ1422-22-2220022-2-2-2-2-22-220000000000-2-2-22002000-220000000000
χ1522-2-22220022-2-222-2-22-200000000220000000-20000000000−i2i2−i2i2
χ1622-2-22220022-2-222-2-22-200000000220000000-20000000000i2−i2i2−i2
χ1722-2-22220022-2-222-2-22-200000000-2-2000000020000000000−i2i2i2−i2
χ1822-2-22220022-2-222-2-22-200000000-2-2000000020000000000i2−i2−i2i2
χ19444441-2441-211-2-2-211-21111-2-2-2-200000000002200-1-1-1-1000000
χ20444441-2441-211-2-2-211-21111-2-2-2-20000000000-2-2001111000000
χ21444441-2-4-41-211-2-2-211-2-1-1-1-1222200000000002-200-1-111000000
χ22444441-2-4-41-211-2-2-211-2-1-1-1-122220000000000-220011-1-1000000
χ2344444-2144-21-2-2111-2-21-2-2-2-21111000022220000-1-10000-1-10000
χ2444444-2144-21-2-2111-2-21-2-2-2-211110000-2-2-2-20000110000110000
χ2544444-21-4-4-21-2-2111-2-212222-1-1-1-1000022-2-20000-1-10000110000
χ2644444-21-4-4-21-2-2111-2-212222-1-1-1-10000-2-2220000110000-1-10000
χ27444-4-41-2001-21122-2-1-1233-3-3000000000000000000−i3i3−i3i3000000
χ28444-4-41-2001-21122-2-1-1233-3-3000000000000000000i3−i3i3−i3000000
χ29444-4-41-2001-21122-2-1-12-3-333000000000000000000−i3i3i3−i3000000
χ30444-4-41-2001-21122-2-1-12-3-333000000000000000000i3−i3−i3i3000000
χ31444-4-444004444-4-44-4-4-400000000000000000000000000000000
χ3244-44-4-2100-2122-1-1-1-22100003i3i−3i−3i00002-22i−2i0000-110000−ii0000
χ3344-44-4-2100-2122-1-1-1-22100003i3i−3i−3i0000-22−2i2i00001-10000i−i0000
χ3444-44-4-2100-2122-1-1-1-2210000−3i−3i3i3i00002-2−2i2i0000-110000i−i0000
χ3544-44-4-2100-2122-1-1-1-2210000−3i−3i3i3i0000-222i−2i00001-10000−ii0000
χ364-4000442i−2i-4-4000000002i−2i2i−2i2i−2i2i−2i22−22−2i22i200000000000000000000
χ374-4000442i−2i-4-4000000002i−2i2i−2i2i−2i2i−2i−22222i2−2i200000000000000000000
χ384-400044−2i2i-4-400000000−2i2i−2i2i−2i2i−2i2i22−222i2−2i200000000000000000000
χ394-400044−2i2i-4-400000000−2i2i−2i2i−2i2i−2i2i−2222−2i22i200000000000000000000
χ40888-8-8-4200-42-4-4-2-2244-200000000000000000000000000000000
χ4188-88-82-4002-4-2-24442-2-400000000000000000000000000000000
χ4288-8-882-4002-4-2-2-4-44-22400000000000000000000000000000000
χ4388-8-88-4200-424422-24-4-200000000000000000000000000000000
χ448-80002-44i−4i-246-60000004i−4i−2i2i−2i2i−2i2i000000000000000000000000
χ458-80002-44i−4i-24-66000000−2i2i4i−4i−2i2i−2i2i000000000000000000000000
χ468-80002-4−4i4i-246-6000000−4i4i2i−2i2i−2i2i−2i000000000000000000000000
χ478-80002-4−4i4i-24-660000002i−2i−4i4i2i−2i2i−2i000000000000000000000000
χ488-8000-424i−4i4-2006i−6i0000−2i2i−2i2i3+i−3−i−3+i3−i000000000000000000000000
χ498-8000-424i−4i4-200−6i6i0000−2i2i−2i2i−3+i3−i3+i−3−i000000000000000000000000
χ508-8000-42−4i4i4-2006i−6i00002i−2i2i−2i−3−i3+i3−i−3+i000000000000000000000000
χ518-8000-42−4i4i4-200−6i6i00002i−2i2i−2i3−i−3+i−3−i3+i000000000000000000000000

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