Finite Group Databasebeta

← Group #11919842

Character table — Group #11919842

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size111111333333121212121212121212121212121212121212121212121212121212121212646464646464646464646464
order12336622666644444444441212121212121212121212121212121212121212333333666666
χ1111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ3111111111111111111111111111111111111111111−1−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−i321111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−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−i321111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−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−i321111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−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+i321111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+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+i321111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+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+i321111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+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
χ101-111-1-1-11-1-11111111-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-1111111-1-1-1-1-1-1
χ111-111-1-1-11-1-11111111-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i32
χ121-111-1-1-11-1-11111111-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i32
χ131-1−1+i32−1−i321−i321+i32-111−i321+i32−1+i32−1−i3211111-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321−1+i32−1−i321−1+i32−1−i32-11−i321+i32-11−i321+i32
χ141-1−1+i32−1−i321−i321+i32-111−i321+i32−1+i32−1−i3211111-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1+i32−1−i321−1−i321−1+i321−i321+i32-11+i32-11−i32
χ151-1−1+i32−1−i321−i321+i32-111−i321+i32−1+i32−1−i3211111-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321−1+i32−1+i32−1−i3211+i32-11−i321−i321+i32-1
χ161-1−1−i32−1+i321+i321−i32-111+i321−i32−1−i32−1+i3211111-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−1−i32−1+i321−1−i32−1+i32-11+i321−i32-11+i321−i32
χ171-1−1−i32−1+i321+i321−i32-111+i321−i32−1−i32−1+i3211111-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−1−i32−1−i32−1+i3211−i32-11+i321+i321−i32-1
χ181-1−1−i32−1+i321+i321−i32-111+i321−i32−1−i32−1+i3211111-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1−i32−1+i321−1+i321−1−i321+i321−i32-11−i32-11+i32
χ193333333333333-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-1000000000000
χ20333333333333-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1000000000000
χ21333333333333-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1000000000000
χ22333333333333-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1000000000000
χ23333333333333-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13000000000000
χ2433−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i323-1-1-1-13-1-1-1-1−3+3i321−i321−i321−i321−i32−3+3i321−i321−i321−i321−i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i321+i321+i32000000000000
χ2533−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-13-1-1-1-13-1-1-11−i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i321−i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i321+i32000000000000
χ2633−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-1-13-1-1-1-13-1-11−i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i32000000000000
χ2733−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-1-1-13-1-1-1-13-11−i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i321+i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i32000000000000
χ2833−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-13-1-1-1-131−i321−i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i321+i321+i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i32000000000000
χ2933−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i323-1-1-1-13-1-1-1-1−3−3i321+i321+i321+i321+i32−3−3i321+i321+i321+i321+i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i321−i321−i32000000000000
χ3033−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-13-1-1-1-13-1-1-11+i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i321+i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i321−i32000000000000
χ3133−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-1-13-1-1-1-13-1-11+i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i32000000000000
χ3233−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-1-1-13-1-1-1-13-11+i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i321−i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i32000000000000
χ3333−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-13-1-1-1-131+i321+i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i321−i321−i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i32000000000000
χ343-333-3-3-33-3-3333-1-1-1-1-311113-1-1-1-1-311113-1-1-1-1-31111000000000000
χ353-333-3-3-33-3-333-13-1-1-11-3111-13-1-1-11-3111-13-1-1-11-3111000000000000
χ363-333-3-3-33-3-333-1-13-1-111-311-1-13-1-111-311-1-13-1-111-311000000000000
χ373-333-3-3-33-3-333-1-1-13-1111-31-1-1-13-1111-31-1-1-13-1111-31000000000000
χ383-333-3-3-33-3-333-1-1-1-131111-3-1-1-1-131111-3-1-1-1-131111-3000000000000
χ393-3−3+3i32−3−3i323−3i323+3i32-333−3i323+3i32−3+3i32−3−3i323-1-1-1-1-31111−3+3i321−i321−i321−i321−i323−3i32−1+i32−1+i32−1+i32−1+i32−3−3i321+i321+i321+i321+i323+3i32−1−i32−1−i32−1−i32−1−i32000000000000
χ403-3−3+3i32−3−3i323−3i323+3i32-333−3i323+3i32−3+3i32−3−3i32-13-1-1-11-31111−i32−3+3i321−i321−i321−i32−1+i323−3i32−1+i32−1+i32−1+i321+i32−3−3i321+i321+i321+i32−1−i323+3i32−1−i32−1−i32−1−i32000000000000
χ413-3−3+3i32−3−3i323−3i323+3i32-333−3i323+3i32−3+3i32−3−3i32-1-13-1-111-3111−i321−i32−3+3i321−i321−i32−1+i32−1+i323−3i32−1+i32−1+i321+i321+i32−3−3i321+i321+i32−1−i32−1−i323+3i32−1−i32−1−i32000000000000
χ423-3−3+3i32−3−3i323−3i323+3i32-333−3i323+3i32−3+3i32−3−3i32-1-1-13-1111-311−i321−i321−i32−3+3i321−i32−1+i32−1+i32−1+i323−3i32−1+i321+i321+i321+i32−3−3i321+i32−1−i32−1−i32−1−i323+3i32−1−i32000000000000
χ433-3−3+3i32−3−3i323−3i323+3i32-333−3i323+3i32−3+3i32−3−3i32-1-1-1-131111-31−i321−i321−i321−i32−3+3i32−1+i32−1+i32−1+i32−1+i323−3i321+i321+i321+i321+i32−3−3i32−1−i32−1−i32−1−i32−1−i323+3i32000000000000
χ443-3−3−3i32−3+3i323+3i323−3i32-333+3i323−3i32−3−3i32−3+3i323-1-1-1-1-31111−3−3i321+i321+i321+i321+i323+3i32−1−i32−1−i32−1−i32−1−i32−3+3i321−i321−i321−i321−i323−3i32−1+i32−1+i32−1+i32−1+i32000000000000
χ453-3−3−3i32−3+3i323+3i323−3i32-333+3i323−3i32−3−3i32−3+3i32-13-1-1-11-31111+i32−3−3i321+i321+i321+i32−1−i323+3i32−1−i32−1−i32−1−i321−i32−3+3i321−i321−i321−i32−1+i323−3i32−1+i32−1+i32−1+i32000000000000
χ463-3−3−3i32−3+3i323+3i323−3i32-333+3i323−3i32−3−3i32−3+3i32-1-13-1-111-3111+i321+i32−3−3i321+i321+i32−1−i32−1−i323+3i32−1−i32−1−i321−i321−i32−3+3i321−i321−i32−1+i32−1+i323−3i32−1+i32−1+i32000000000000
χ473-3−3−3i32−3+3i323+3i323−3i32-333+3i323−3i32−3−3i32−3+3i32-1-1-13-1111-311+i321+i321+i32−3−3i321+i32−1−i32−1−i32−1−i323+3i32−1−i321−i321−i321−i32−3+3i321−i32−1+i32−1+i32−1+i323−3i32−1+i32000000000000
χ483-3−3−3i32−3+3i323+3i323−3i32-333+3i323−3i32−3−3i32−3+3i32-1-1-1-131111-31+i321+i321+i321+i32−3−3i32−1−i32−1−i32−1−i32−1−i323+3i321−i321−i321−i321−i32−3+3i32−1+i32−1+i32−1+i32−1+i323−3i32000000000000
χ49121212121212-4-4-4-4-4-4000000000000000000000000000000000000000000
χ501212−6+6i3−6−6i3−6+6i3−6−6i3-4-42−2i32+2i32−2i32+2i3000000000000000000000000000000000000000000
χ511212−6−6i3−6+6i3−6−6i3−6+6i3-4-42+2i32−2i32+2i32−2i3000000000000000000000000000000000000000000
χ5212-121212-12-124-444-4-4000000000000000000000000000000000000000000
χ5312-12−6+6i3−6−6i36−6i36+6i34-4−2+2i3−2−2i32−2i32+2i3000000000000000000000000000000000000000000
χ5412-12−6−6i3−6+6i36+6i36−6i34-4−2−2i3−2+2i32+2i32−2i3000000000000000000000000000000000000000000

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