Finite Group Databasebeta

← Group #13146834

Character table — Group #13146834

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size1233333466666666681212121212121212121212242424363636363636363636363636727272727272969696969696
order13233662446661212121262666612121212121266622446666121212128824242424333666
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ31111111-1111111111-1-1-1-1-1-1111111-1-1-11-11-111-1-111-1-11-111-1-1111-1-1-1
χ41111111-1111111111-1-1-1-1-1-1111111-1-1-1-11-11-1-111-1-111-11-1-111111-1-1-1
χ5111−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ6111−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32-1-11−i321+i321−i321+i321−1+i32−1−i321−1+i32−1−i32
χ7111−1+i32−1−i32−1+i32−1−i32-1111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-11−i321+i321-11-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i321-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32
χ8111−1+i32−1−i32−1+i32−1−i32-1111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-11−i321+i32-11-111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32-111−i321+i32−1+i32−1−i321−1+i32−1−i32-11−i321+i32
χ9111−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ10111−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32-1-11+i321−i321+i321−i321−1−i32−1+i321−1−i32−1+i32
χ11111−1−i32−1+i32−1−i32−1+i32-1111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-11+i321−i321-11-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i321-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32
χ12111−1−i32−1+i32−1−i32−1+i32-1111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-11+i321−i32-11-111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32-111+i321−i32−1−i32−1+i321−1−i32−1+i32-11+i321−i32
χ1322222222222222222222222222222222000000000000000000-1-1-1-1-1-1
χ142222222-2222222222-2-2-2-2-2-2222222-2-2-2000000000000000000-1-1-1111
χ15222−1+i3−1−i3−1+i3−1−i32222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i322−1+i3−1+i3−1−i3−1−i322−1+i3−1+i3−1−i3−1−i32−1+i3−1−i3000000000000000000-11−i321+i32-11−i321+i32
χ16222−1+i3−1−i3−1+i3−1−i3-2222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-2-21−i31−i31+i31+i322−1+i3−1+i3−1−i3−1−i3-21−i31+i3000000000000000000-11−i321+i321−1+i32−1−i32
χ17222−1−i3−1+i3−1−i3−1+i32222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i322−1−i3−1−i3−1+i3−1+i322−1−i3−1−i3−1+i3−1+i32−1−i3−1+i3000000000000000000-11+i321−i32-11+i321−i32
χ18222−1−i3−1+i3−1−i3−1+i3-2222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-2-21+i31+i31−i31−i322−1−i3−1−i3−1+i3−1+i3-21+i31−i3000000000000000000-11+i321−i321−1−i32−1+i32
χ1933333333-1-1333-1-1-1-13-13-13-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1000000
χ2033333333-1-1333-1-1-1-13-13-13-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111000000
χ213333333-3-1-1333-1-1-1-1-31-31-31-1-1-1-1-1-11111-11-111-1-111-1-1-11-1-111000000
χ223333333-3-1-1333-1-1-1-1-31-31-31-1-1-1-1-1-1111-11-11-1-111-1-1111-111-1-1000000
χ23333−3+3i32−3−3i32−3+3i32−3−3i323-1-13−3+3i32−3−3i321−i321−i321+i321+i323-1−3+3i321−i32−3−3i321+i32-1-11−i321−i321+i321+i32-11−i321+i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11−i321+i321−i321+i32000000
χ24333−3+3i32−3−3i32−3+3i32−3−3i323-1-13−3+3i32−3−3i321−i321−i321+i321+i323-1−3+3i321−i32−3−3i321+i32-1-11−i321−i321+i321+i32-11−i321+i32-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i3211−1+i32−1−i32−1+i32−1−i32000000
χ25333−3+3i32−3−3i32−3+3i32−3−3i32-3-1-13−3+3i32−3−3i321−i321−i321+i321+i32-313−3i32−1+i323+3i32−1−i32-1-11−i321−i321+i321+i321−1+i32−1−i321-11-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32-111−i321+i32−1+i32−1−i32000000
χ26333−3+3i32−3−3i32−3+3i32−3−3i32-3-1-13−3+3i32−3−3i321−i321−i321+i321+i32-313−3i32−1+i323+3i32−1−i32-1-11−i321−i321+i321+i321−1+i32−1−i32-11-111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i321-1−1+i32−1−i321−i321+i32000000
χ27333−3−3i32−3+3i32−3−3i32−3+3i323-1-13−3−3i32−3+3i321+i321+i321−i321−i323-1−3−3i321+i32−3+3i321−i32-1-11+i321+i321−i321−i32-11+i321−i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11+i321−i321+i321−i32000000
χ28333−3−3i32−3+3i32−3−3i32−3+3i323-1-13−3−3i32−3+3i321+i321+i321−i321−i323-1−3−3i321+i32−3+3i321−i32-1-11+i321+i321−i321−i32-11+i321−i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i3211−1−i32−1+i32−1−i32−1+i32000000
χ29333−3−3i32−3+3i32−3−3i32−3+3i32-3-1-13−3−3i32−3+3i321+i321+i321−i321−i32-313+3i32−1−i323−3i32−1+i32-1-11+i321+i321−i321−i321−1−i32−1+i321-11-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32-111+i321−i32−1−i32−1+i32000000
χ30333−3−3i32−3+3i32−3−3i32−3+3i32-3-1-13−3−3i32−3+3i321+i321+i321−i321−i32-313+3i32−1−i323−3i32−1+i32-1-11+i321+i321−i321−i321−1−i32−1+i32-11-111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i321-1−1−i32−1+i321+i321−i32000000
χ3166-266-2-202-2-2-2-22-22-20000002-22-22-2000020-2002200-2-2000000000000
χ3266-266-2-202-2-2-2-22-22-20000002-22-22-20000-20200-2-20022000000000000
χ3366-266-2-20-22-2-2-2-22-22000000-22-22-2200020-202200-2-200000000000000
χ3466-266-2-20-22-2-2-2-22-22000000-22-22-22000-2020-2-2002200000000000000
χ3566-2−3+3i3−3−3i31−i31+i302-2-21−i31+i3−1+i31−i3−1−i31+i30000002-2−1+i31−i3−1−i31+i3000020-200−1+i3−1−i3001−i31+i3000000000000
χ3666-2−3+3i3−3−3i31−i31+i302-2-21−i31+i3−1+i31−i3−1−i31+i30000002-2−1+i31−i3−1−i31+i30000-202001−i31+i300−1+i3−1−i3000000000000
χ3766-2−3+3i3−3−3i31−i31+i30-22-21−i31+i31−i3−1+i31+i3−1−i3000000-221−i3−1+i31+i3−1−i300020-20−1+i3−1−i3001−i31+i300000000000000
χ3866-2−3+3i3−3−3i31−i31+i30-22-21−i31+i31−i3−1+i31+i3−1−i3000000-221−i3−1+i31+i3−1−i3000-20201−i31+i300−1+i3−1−i300000000000000
χ3966-2−3−3i3−3+3i31+i31−i302-2-21+i31−i3−1−i31+i3−1+i31−i30000002-2−1−i31+i3−1+i31−i3000020-200−1−i3−1+i3001+i31−i3000000000000
χ4066-2−3−3i3−3+3i31+i31−i302-2-21+i31−i3−1−i31+i3−1+i31−i30000002-2−1−i31+i3−1+i31−i30000-202001+i31−i300−1−i3−1+i3000000000000
χ4166-2−3−3i3−3+3i31+i31−i30-22-21+i31−i31+i3−1−i31−i3−1+i3000000-221+i3−1−i31−i3−1+i300020-20−1−i3−1+i3001+i31−i300000000000000
χ4266-2−3−3i3−3+3i31+i31−i30-22-21+i31−i31+i3−1−i31−i3−1+i3000000-221+i3−1−i31−i3−1+i3000-20201+i31−i300−1−i3−1+i300000000000000
χ436-360000666-3000000-360000-3-30000-300000000000000000000000000
χ446-3600006-2-2-3004444-3-2040411-2-2-2-21-2-2000000000000000000000000
χ456-3600006-2-2-300−2+2i3−2+2i3−2−2i3−2−2i3-3-20−2+2i30−2−2i3111−i31−i31+i31+i311−i31+i3000000000000000000000000
χ466-3600006-2-2-300−2−2i3−2−2i3−2+2i3−2+2i3-3-20−2−2i30−2+2i3111+i31+i31−i31−i311+i31−i3000000000000000000000000
χ476-360000-666-30000003-60000-3-30000300000000000000000000000000
χ486-360000-6-2-2-3004444320-40-411-2-2-2-2-122000000000000000000000000
χ496-360000-6-2-2-300−2+2i3−2+2i3−2−2i3−2−2i33202−2i302+2i3111−i31−i31+i31+i3-1−1+i3−1−i3000000000000000000000000
χ506-360000-6-2-2-300−2−2i3−2−2i3−2+2i3−2+2i33202+2i302−2i3111+i31+i31−i31−i3-1−1−i3−1+i3000000000000000000000000
χ5112-6-4008804-42-4-44-44-4000000-22-22-22000000000000000000000000000
χ5212-6-400880-442-4-4-44-440000002-22-22-2000000000000000000000000000
χ5312-6-400−4+4i3−4−4i304-422−2i32+2i3−2+2i32−2i3−2−2i32+2i3000000-221−i3−1+i31+i3−1−i3000000000000000000000000000
χ5412-6-400−4+4i3−4−4i30-4422−2i32+2i32−2i3−2+2i32+2i3−2−2i30000002-2−1+i31−i3−1−i31+i3000000000000000000000000000
χ5512-6-400−4−4i3−4+4i304-422+2i32−2i3−2−2i32+2i3−2+2i32−2i3000000-221+i3−1−i31−i3−1+i3000000000000000000000000000
χ5612-6-400−4−4i3−4+4i30-4422+2i32−2i32+2i3−2−2i32−2i3−2+2i30000002-2−1−i31+i3−1+i31−i3000000000000000000000000000

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