Finite Group Databasebeta

← Group #11793121

Character table — Group #11793121

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size1122244444444448888888888889918181824242424242424243636484848484848484872727272
order12244334466661212612121212121212121212124422424444488446121212121224244488
χ1111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1
χ311111111111111111111111111111111-1-11111-1-111-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ51111111-1-11111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-111-1-1
χ61111111-1-11111111111-1-1-1-1-1-1-1-11111111-1-111-1-1-1-111-1-111-1-1-1-111
χ71111111-1-11111111111-1-1-1-1-1-1-1-111111-1-111-1-111-1-1-1-111-1-111-1-111
χ81111111-1-11111111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1111111-1-1
χ9222222222222222222222222222-2-2-2-2-200000000-2-2000000000000
χ102222222-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-2-20000000022000000000000
χ11222-2-222002222-2-22-2-2-20000000022-2-2200002-2000000002-2000000
χ12222-2-222002222-2-22-2-2-20000000022-2-220000-2200000000-22000000
χ13222-2-222002222-2-22-2-2-200000000-2-222-2002-2000000002-200000000
χ14222-2-222002222-2-22-2-2-200000000-2-222-200-2200000000-2200000000
χ1522-22-2220022-2-2-2-2-22-220000000022-22-20000002i−2i000000002i−2i0000
χ1622-22-2220022-2-2-2-2-22-220000000022-22-2000000−2i2i00000000−2i2i0000
χ1722-22-2220022-2-2-2-2-22-2200000000-2-22-222-2000000002-20000000000
χ1822-22-2220022-2-2-2-2-22-2200000000-2-22-22-2200000000-220000000000
χ1922-2-22220022-2-222-2-22-200000000222-2-20000000000000000002i−2i00
χ2022-2-22220022-2-222-2-22-200000000222-2-2000000000000000000−2i2i00
χ2122-2-22220022-2-222-2-22-200000000-2-2-222000000000000000000002i−2i
χ2222-2-22220022-2-222-2-22-200000000-2-2-22200000000000000000000−2i2i
χ23444441-2441-211-2-2-211-21111-2-2-2-200000002222000000-1-1-1-1000000
χ24444441-2441-211-2-2-211-21111-2-2-2-20000000-2-2-2-20000001111000000
χ25444441-2-4-41-211-2-2-211-2-1-1-1-12222000000022-2-2000000-1-111000000
χ26444441-2-4-41-211-2-2-211-2-1-1-1-122220000000-2-22200000011-1-1000000
χ2744444-2144-21-2-2111-2-21-2-2-2-21111000002200002200-1-10000-1-10000
χ2844444-2144-21-2-2111-2-21-2-2-2-2111100000-2-20000-2-200110000110000
χ2944444-21-4-4-21-2-2111-2-212222-1-1-1-100000220000-2-200-1-10000110000
χ3044444-21-4-4-21-2-2111-2-212222-1-1-1-100000-2-200002200110000-1-10000
χ31444-4-41-2001-21122-2-1-1233-3-3000000000002-22-2000000-11-11000000
χ32444-4-41-2001-21122-2-1-1233-3-300000000000-22-220000001-11-1000000
χ33444-4-41-2001-21122-2-1-12-3-333000000000002-2-22000000-111-1000000
χ34444-4-41-2001-21122-2-1-12-3-33300000000000-222-20000001-1-11000000
χ3544-44-4-2100-2122-1-1-1-22100003i3i−3i−3i000002-200002i−2i00-110000−ii0000
χ3644-44-4-2100-2122-1-1-1-22100003i3i−3i−3i00000-220000−2i2i001-10000i−i0000
χ3744-44-4-2100-2122-1-1-1-2210000−3i−3i3i3i000002-20000−2i2i00-110000i−i0000
χ3844-44-4-2100-2122-1-1-1-2210000−3i−3i3i3i00000-2200002i−2i001-10000−ii0000
χ394-4000442i−2i-4-4000000002i−2i2i−2i2i−2i2i−2i4i−4i000000000002-2000000000000
χ404-4000442i−2i-4-4000000002i−2i2i−2i2i−2i2i−2i−4i4i00000000000-22000000000000
χ414-400044−2i2i-4-400000000−2i2i−2i2i−2i2i−2i2i4i−4i00000000000-22000000000000
χ424-400044−2i2i-4-400000000−2i2i−2i2i−2i2i−2i2i−4i4i000000000002-2000000000000
χ43888-8-8-4200-42-4-4-2-2244-200000000000000000000000000000000000
χ4488-88-82-4002-4-2-24442-2-400000000000000000000000000000000000
χ4588-8-882-4002-4-2-2-4-44-22400000000000000000000000000000000000
χ4688-8-88-4200-424422-24-4-200000000000000000000000000000000000
χ478-80002-44i−4i-246-60000004i−4i−2i2i−2i2i−2i2i000000000000000000000000000
χ488-80002-44i−4i-24-66000000−2i2i4i−4i−2i2i−2i2i000000000000000000000000000
χ498-80002-4−4i4i-246-6000000−4i4i2i−2i2i−2i2i−2i000000000000000000000000000
χ508-80002-4−4i4i-24-660000002i−2i−4i4i2i−2i2i−2i000000000000000000000000000
χ518-8000-424i−4i4-2006i−6i0000−2i2i−2i2i3+i−3−i−3+i3−i000000000000000000000000000
χ528-8000-424i−4i4-200−6i6i0000−2i2i−2i2i−3+i3−i3+i−3−i000000000000000000000000000
χ538-8000-42−4i4i4-2006i−6i00002i−2i2i−2i−3−i3+i3−i−3+i000000000000000000000000000
χ548-8000-42−4i4i4-200−6i6i00002i−2i2i−2i3−i−3+i−3−i3+i000000000000000000000000000

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