Finite Group Databasebeta

← Group #11921366

Character table — Group #11921366

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size1122222336666612121212121212121212121216161616242432323232323232323232727296969696
order1223666222666644441212121212121212336624336666666644661212
χ1111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-11111111111-1-1-1-1-1-1
χ311111111111111111111111111−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32
χ411111111111111111111111111−1+i32−1−i32−1+i32−1−i32-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11−i321+i321−i321+i32
χ511111111111111111111111111−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32
χ611111111111111111111111111−1−i32−1+i32−1−i32−1+i32-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11+i321−i321+i321−i32
χ711-11-1-1111-111-1-111-1-11111-1-1-1-111111-111-1-11-1-11-1-11-111-1-1
χ811-11-1-1111-111-1-111-1-11111-1-1-1-11111-1111-1-11-1-11-1-1-11-1-111
χ911-11-1-1111-111-1-111-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1−i321-1−1+i32−1−i321−i321+i32−1+i321−i321−i32−1−i321+i321+i321-1−1+i32−1−i321−i321+i32
χ1011-11-1-1111-111-1-111-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1−i32-11−1+i32−1−i321−i321+i32−1+i321−i321−i32−1−i321+i321+i32-111−i321+i32−1+i32−1−i32
χ1111-11-1-1111-111-1-111-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1+i321-1−1−i32−1+i321+i321−i32−1−i321+i321+i32−1+i321−i321−i321-1−1−i32−1+i321+i321−i32
χ1211-11-1-1111-111-1-111-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1+i32-11−1−i32−1+i321+i321−i32−1−i321+i321+i32−1+i321−i321−i32-111+i321−i32−1−i32−1+i32
χ13222-1-1-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1222200-1-122-1-1-1-1-1-1000000
χ14222-1-1-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3001−i321+i32−1+i3−1−i31−i321−i321−i321+i321+i321+i32000000
χ15222-1-1-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3001+i321−i32−1−i3−1+i31+i321+i321+i321−i321−i321−i32000000
χ1622-2-111-122-2-1-11122-2-2-1-1-1-11111222200-1-1-2-2-111-111000000
χ1722-2-111-122-2-1-11122-2-2-1-1-1-11111−1+i3−1−i3−1+i3−1−i3001−i321+i321−i31+i31−i32−1+i32−1+i321+i32−1−i32−1−i32000000
χ1822-2-111-122-2-1-11122-2-2-1-1-1-11111−1−i3−1+i3−1−i3−1+i3001+i321−i321+i31−i31+i32−1−i32−1−i321−i32−1+i32−1+i32000000
χ1933333333333333-1-1-1-1-1-1-1-1-1-1-1-10000330000000000-1-10000
χ2033333333333333-1-1-1-1-1-1-1-1-1-1-1-10000-3-30000000000110000
χ2133-33-3-3333-333-3-3-1-111-1-1-1-1111100003-30000000000-110000
χ2233-33-3-3333-333-3-3-1-111-1-1-1-111110000-3300000000001-10000
χ234-40400-44-404-400000000000000-2-22200-2-200200200000000
χ244-40400-44-404-4000000000000001−i31+i3−1+i3−1−i3001−i31+i300−1+i300−1−i300000000
χ254-40400-44-404-4000000000000001+i31−i3−1−i3−1+i3001+i31−i300−1−i300−1+i300000000
χ264-40-22i3−2i324-40-222i3−2i3000000000000-2-222001100-1i3−i3-1i3−i3000000
χ274-40-22i3−2i324-40-222i3−2i30000000000001−i31+i3−1+i3−1−i300−1+i32−1−i32001−i32−3−i323+i321+i323−i32−3+i32000000
χ284-40-22i3−2i324-40-222i3−2i30000000000001+i31−i3−1−i3−1+i300−1−i32−1+i32001+i323−i32−3+i321−i32−3−i323+i32000000
χ294-40-2−2i32i324-40-22−2i32i3000000000000-2-222001100-1−i3i3-1−i3i3000000
χ304-40-2−2i32i324-40-22−2i32i30000000000001−i31+i3−1+i3−1−i300−1+i32−1−i32001−i323+i32−3−i321+i32−3+i323−i32000000
χ314-40-2−2i32i324-40-22−2i32i30000000000001+i31−i3−1−i3−1+i300−1−i32−1+i32001+i32−3+i323−i321−i323+i32−3−i32000000
χ326666666-2-2-2-2-2-2-22-22-222-2-222-2-20000000000000000000000
χ336666666-2-2-2-2-2-2-2-22-22-2-222-2-2220000000000000000000000
χ34666-3-3-3-3666-3-3-3-3-2-2-2-2111111110000000000000000000000
χ35666-3-3-3-3-2-2-211112-22-2−1+2i3−1−2i311−1+2i3−1−2i3110000000000000000000000
χ36666-3-3-3-3-2-2-211112-22-2−1−2i3−1+2i311−1−2i3−1+2i3110000000000000000000000
χ37666-3-3-3-3-2-2-21111-22-2211−1+2i3−1−2i311−1+2i3−1−2i30000000000000000000000
χ38666-3-3-3-3-2-2-21111-22-2211−1−2i3−1+2i311−1−2i3−1+2i30000000000000000000000
χ3966-66-6-66-2-22-2-2222-2-2222-2-2-2-2220000000000000000000000
χ4066-66-6-66-2-22-2-222-222-2-2-22222-2-20000000000000000000000
χ4166-6-333-366-6-3-333-2-2221111-1-1-1-10000000000000000000000
χ4266-6-333-3-2-2211-1-12-2-22−1+2i3−1−2i3111−2i31+2i3-1-10000000000000000000000
χ4366-6-333-3-2-2211-1-12-2-22−1−2i3−1+2i3111+2i31−2i3-1-10000000000000000000000
χ4466-6-333-3-2-2211-1-1-222-211−1+2i3−1−2i3-1-11−2i31+2i30000000000000000000000
χ4566-6-333-3-2-2211-1-1-222-211−1−2i3−1+2i3-1-11+2i31−2i30000000000000000000000
χ4612-1201200-12-440-44000000000000000000000000000000000000
χ4712-120-66i3−6i36-4402-2−2i32i30000000000000000000000000000000000
χ4812-120-6−6i36i36-4402-22i3−2i30000000000000000000000000000000000

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