Finite Group Databasebeta

← Group #11722388

Character table — Group #11722388

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49
size1111112226666666666121212121212242424242424242424242424363636363636363636363636
order12336626634466612121212121212121212333666666666246688121224242424
χ11111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111-1-1-11-11-1-11-1-111111-1-1-1111111-1-1-1-1-1-11-1111-1-1-111-1-1
χ4111111-1-1-11-11-1-11-1-111111-1-1-1111111-1-1-1-1-1-1-11-1-1-1111-1-111
χ52222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ6222222222-122-1-1-12222-1-1-1-1-1-12-1-12-1-122-1-1-1-1000000000000
χ7222222222-122-1-1-12222-1-1-1-1-1-1-12-1-12-1-1-122-1-1000000000000
χ8222222222-122-1-1-12222-1-1-1-1-1-1-1-12-1-12-1-1-1-122000000000000
χ9222222-2-2-22-22-2-22-2-222222-2-2-2-1-1-1-1-1-1111111000000000000
χ10222222-2-2-2-1-2211-1-2-222-1-1-11112-1-12-1-1-2-21111000000000000
χ11222222-2-2-2-1-2211-1-2-222-1-1-1111-12-1-12-111-2-211000000000000
χ12222222-2-2-2-1-2211-1-2-222-1-1-1111-1-12-1-121111-2-2000000000000
χ133333333333-1-1333-1-1-1-1-1-1-1-1-1-10000000000001111-1-111-1-1-1-1
χ143333333333-1-1333-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-111-1-11111
χ15333333-3-3-331-1-3-3311-1-1-1-1-11110000000000001-111-11-1-1-1-111
χ16333333-3-3-331-1-3-3311-1-1-1-1-1111000000000000-11-1-11-11111-1-1
χ1733−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32033000−3+3i32−3−3i32−3+3i32−3−3i3200000000000000000011−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ1833−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32033000−3+3i32−3−3i32−3+3i32−3−3i32000000000000000000-1-11−i321+i32-1-11−i321+i321−i321+i321−i321+i32
χ1933−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i320-1-10001−i321+i321−i321+i322−1+i3−1−i32−1+i3−1−i300000000000011−1+i32−1−i32-1-1−1+i32−1−i321−i321+i321−i321+i32
χ2033−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i320-1-10001−i321+i321−i321+i322−1+i3−1−i32−1+i3−1−i3000000000000-1-11−i321+i32111−i321+i32−1+i32−1−i32−1+i32−1−i32
χ2133−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i3201-1000−1+i32−1−i321−i321+i322−1+i3−1−i3-21−i31+i30000000000001-1−1+i32−1−i32-111−i321+i321−i321+i32−1+i32−1−i32
χ2233−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i3201-1000−1+i32−1−i321−i321+i322−1+i3−1−i3-21−i31+i3000000000000-111−i321+i321-1−1+i32−1−i32−1+i32−1−i321−i321+i32
χ2333−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i320-330003−3i323+3i32−3+3i32−3−3i320000000000000000001-1−1+i32−1−i321-11−i321+i32−1+i32−1−i321−i321+i32
χ2433−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i320-330003−3i323+3i32−3+3i32−3−3i32000000000000000000-111−i321+i32-11−1+i32−1−i321−i321+i32−1+i32−1−i32
χ2533−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32033000−3−3i32−3+3i32−3−3i32−3+3i3200000000000000000011−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ2633−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32033000−3−3i32−3+3i32−3−3i32−3+3i32000000000000000000-1-11+i321−i32-1-11+i321−i321+i321−i321+i321−i32
χ2733−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i320-1-10001+i321−i321+i321−i322−1−i3−1+i32−1−i3−1+i300000000000011−1−i32−1+i32-1-1−1−i32−1+i321+i321−i321+i321−i32
χ2833−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i320-1-10001+i321−i321+i321−i322−1−i3−1+i32−1−i3−1+i3000000000000-1-11+i321−i32111+i321−i32−1−i32−1+i32−1−i32−1+i32
χ2933−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i3201-1000−1−i32−1+i321+i321−i322−1−i3−1+i3-21+i31−i30000000000001-1−1−i32−1+i32-111+i321−i321+i321−i32−1−i32−1+i32
χ3033−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i3201-1000−1−i32−1+i321+i321−i322−1−i3−1+i3-21+i31−i3000000000000-111+i321−i321-1−1−i32−1+i32−1−i32−1+i321+i321−i32
χ3133−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i320-330003+3i323−3i32−3−3i32−3+3i320000000000000000001-1−1−i32−1+i321-11+i321−i32−1−i32−1+i321+i321−i32
χ3233−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i320-330003+3i323−3i32−3−3i32−3+3i32000000000000000000-111+i321−i32-11−1−i32−1+i321+i321−i32−1−i32−1+i32
χ334-444-4-400040000-40000000000111-1-1-1i3−i3i3−i3i3−i3000000000000
χ344-444-4-400040000-40000000000111-1-1-1−i3i3−i3i3−i3i3000000000000
χ354-444-4-400040000-40000000000-2-2-2222000000000000000000
χ364-444-4-4000-2002i3−2i32000000000011-2-1-12i3−i3−i3i300000000000000
χ374-444-4-4000-2002i3−2i3200000000001-21-12-1−i3i300i3−i3000000000000
χ384-444-4-4000-2002i3−2i320000000000-2112-1-100i3−i3−i3i3000000000000
χ394-444-4-4000-200−2i32i32000000000011-2-1-12−i3i3i3−i300000000000000
χ404-444-4-4000-200−2i32i3200000000001-21-12-1i3−i300−i3i3000000000000
χ414-444-4-4000-200−2i32i320000000000-2112-1-100−i3i3i3−i3000000000000
χ42666666666-3-2-2-3-3-3-2-2-2-2111111000000000000000000000000
χ43666666-6-6-6-32-233-322-2-2111-1-1-1000000000000000000000000
χ4466−3+3i3−3−3i3−3+3i3−3−3i36−3+3i3−3−3i30-2-20001−i31+i31−i31+i3-21−i31+i3-21−i31+i3000000000000000000000000
χ4566−3+3i3−3−3i3−3+3i3−3−3i3-63−3i33+3i302-2000−1+i3−1−i31−i31+i3-21−i31+i32−1+i3−1−i3000000000000000000000000
χ4666−3−3i3−3+3i3−3−3i3−3+3i36−3−3i3−3+3i30-2-20001+i31−i31+i31−i3-21+i31−i3-21+i31−i3000000000000000000000000
χ4766−3−3i3−3+3i3−3−3i3−3+3i3-63+3i33−3i302-2000−1−i3−1+i31+i31−i3-21+i31−i32−1−i3−1+i3000000000000000000000000
χ4812-12−6+6i3−6−6i36−6i36+6i30000000000000000000000000000000000000000000
χ4912-12−6−6i3−6+6i36+6i36−6i30000000000000000000000000000000000000000000

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