Finite Group Databasebeta

← Group #11919660

Character table — Group #11919660

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42
size111111333333121212121212242424242424242424242424646464646464646464646464
order123366226666441212121244441212121212121212333333666666
χ1111111111111111111111111111111111111111111
χ2111111111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ3111111111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ411−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ511−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32
χ611−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321
χ711−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ811−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321
χ911−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32
χ102-222-2-22-222-2-22-22-22-2000000000000-1-1-1-1-1-1111111
χ112-222-2-22-222-2-22-22-22-20000000000001−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ122-222-2-22-222-2-22-22-22-20000000000001+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ132-2−1+i3−1−i31−i31+i32-2−1+i3−1−i31−i31+i32-2−1+i31−i3−1−i31+i3000000000000-11−i321+i32-11−i321+i321−1+i32−1−i321−1+i32−1−i32
χ142-2−1+i3−1−i31−i31+i32-2−1+i3−1−i31−i31+i32-2−1+i31−i3−1−i31+i30000000000001−i321+i32-11+i32-11−i32−1+i32−1−i321−1−i321−1+i32
χ152-2−1+i3−1−i31−i31+i32-2−1+i3−1−i31−i31+i32-2−1+i31−i3−1−i31+i30000000000001+i32-11−i321−i321+i32-1−1−i321−1+i32−1+i32−1−i321
χ162-2−1−i3−1+i31+i31−i32-2−1−i3−1+i31+i31−i32-2−1−i31+i3−1+i31−i3000000000000-11+i321−i32-11+i321−i321−1−i32−1+i321−1−i32−1+i32
χ172-2−1−i3−1+i31+i31−i32-2−1−i3−1+i31+i31−i32-2−1−i31+i3−1+i31−i30000000000001−i32-11+i321+i321−i32-1−1+i321−1−i32−1−i32−1+i321
χ182-2−1−i3−1+i31+i31−i32-2−1−i3−1+i31+i31−i32-2−1−i31+i3−1+i31−i30000000000001+i321−i32-11−i32-11+i32−1−i32−1+i321−1+i321−1−i32
χ19333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ20333333333333-1-1-1-1-1-13-1-1-13-1-1-13-1-1-1000000000000
χ21333333333333-1-1-1-1-1-1-13-1-1-13-1-1-13-1-1000000000000
χ22333333333333-1-1-1-1-1-1-1-13-1-1-13-1-1-13-1000000000000
χ23333333333333-1-1-1-1-1-1-1-1-13-1-1-13-1-1-13000000000000
χ2433−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3+3i32−3−3i32−3−3i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32000000000000
χ2533−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-1-11−i321−i321+i321+i323-1-1-1−3+3i321−i321−i321−i32−3−3i321+i321+i321+i32000000000000
χ2633−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-1-11−i321−i321+i321+i32-13-1-11−i32−3+3i321−i321−i321+i32−3−3i321+i321+i32000000000000
χ2733−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-1-11−i321−i321+i321+i32-1-13-11−i321−i32−3+3i321−i321+i321+i32−3−3i321+i32000000000000
χ2833−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-1-11−i321−i321+i321+i32-1-1-131−i321−i321−i32−3+3i321+i321+i321+i32−3−3i32000000000000
χ2933−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3−3i32−3+3i32−3+3i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32000000000000
χ3033−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321+i321−i321−i323-1-1-1−3−3i321+i321+i321+i32−3+3i321−i321−i321−i32000000000000
χ3133−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321+i321−i321−i32-13-1-11+i32−3−3i321+i321+i321−i32−3+3i321−i321−i32000000000000
χ3233−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321+i321−i321−i32-1-13-11+i321+i32−3−3i321+i321−i321−i32−3+3i321−i32000000000000
χ3333−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321+i321−i321−i32-1-1-131+i321+i321+i32−3−3i321−i321−i321−i32−3+3i32000000000000
χ346-666-6-66-666-6-6-22-22-22000000000000000000000000
χ356-6−3+3i3−3−3i33−3i33+3i36-6−3+3i3−3−3i33−3i33+3i3-221−i3−1+i31+i3−1−i3000000000000000000000000
χ366-6−3−3i3−3+3i33+3i33−3i36-6−3−3i3−3+3i33+3i33−3i3-221+i3−1−i31−i3−1+i3000000000000000000000000
χ37121212121212-4-4-4-4-4-4000000000000000000000000000000
χ381212−6+6i3−6−6i3−6+6i3−6−6i3-4-42−2i32+2i32−2i32+2i3000000000000000000000000000000
χ391212−6−6i3−6+6i3−6−6i3−6+6i3-4-42+2i32−2i32+2i32−2i3000000000000000000000000000000
χ4012-121212-12-12-44-4-444000000000000000000000000000000
χ4112-12−6+6i3−6−6i36−6i36+6i3-442−2i32+2i3−2+2i3−2−2i3000000000000000000000000000000
χ4212-12−6−6i3−6+6i36+6i36−6i3-442+2i32−2i3−2−2i3−2+2i3000000000000000000000000000000

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