Finite Group Databasebeta

← Group #13049838

Character table — Group #13049838

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size122244444999181818366612121212122727275454544888161616161636363672727248881616161616363636727272
order133333333222666266666666222666333333333666666333333333666666
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111111-1-11-1-11111111111-1-11-1-11111111111-1-11-1-11111111111-1-11-1-1
χ3111111111-11-1-11-1111111111-11-1-11-1111111111-11-1-11-1111111111-11-1-11-1
χ4111111111-1-11-1-11111111111-1-11-1-11111111111-1-11-1-11111111111-1-11-1-11
χ5222-12-1-1-1-100200-1222-12-1-1-1-100200-1222-12-1-1-1-100200-1222-12-1-1-1-100200-1
χ6222-12-1-1-1-100-2001222-12-1-1-1-100-2001222-12-1-1-1-100-2001222-12-1-1-1-100-2001
χ722-12-12-1-1-10200-1022-12-12-1-1-10200-1022-12-12-1-1-10200-1022-12-12-1-1-10200-10
χ822-12-12-1-1-10-2001022-12-12-1-1-10-2001022-12-12-1-1-10-2001022-12-12-1-1-10-20010
χ92-122-1-12-1-1200-1002-122-1-12-1-1200-1002-122-1-12-1-1200-1002-122-1-12-1-1200-100
χ102-122-1-12-1-1-2001002-122-1-12-1-1-2001002-122-1-12-1-1-2001002-122-1-12-1-1-200100
χ1144-2-2-2-211100000044-2-2-2-211100000044-2-2-2-211100000044-2-2-2-2111000000
χ124-24-2-21-2110000004-24-2-21-2110000004-24-2-21-2110000004-24-2-21-211000000
χ134-2-241-2-2110000004-2-241-2-2110000004-2-241-2-2110000004-2-241-2-211000000
χ144-2-2-2111−1+3i32−1−3i320000004-2-2-2111−1+3i32−1−3i320000004-2-2-2111−1+3i32−1−3i320000004-2-2-2111−1+3i32−1−3i32000000
χ154-2-2-2111−1−3i32−1+3i320000004-2-2-2111−1−3i32−1+3i320000004-2-2-2111−1−3i32−1+3i320000004-2-2-2111−1−3i32−1+3i32000000
χ16111111111111111111111111111111−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ171111111111-1-11-1-11111111111-1-11-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32
χ18111111111-11-1-11-1111111111-11-1-11-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32
χ19111111111-1-11-1-11111111111-1-11-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32
χ20222-12-1-1-1-100200-1222-12-1-1-1-100200-1−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i3200−1+i3001−i32−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i3200−1−i3001+i32
χ21222-12-1-1-1-100-2001222-12-1-1-1-100-2001−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i32001−i300−1+i32−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i32001+i300−1−i32
χ2222-12-12-1-1-10200-1022-12-12-1-1-10200-10−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i320−1+i3001−i320−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i320−1−i3001+i320
χ2322-12-12-1-1-10-2001022-12-12-1-1-10-20010−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i3201−i300−1+i320−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i3201+i300−1−i320
χ242-122-1-12-1-1200-1002-122-1-12-1-1200-100−1+i31−i32−1+i3−1+i31−i321−i32−1+i31−i321−i32−1+i3001−i3200−1−i31+i32−1−i3−1−i31+i321+i32−1−i31+i321+i32−1−i3001+i3200
χ252-122-1-12-1-1-2001002-122-1-12-1-1-200100−1+i31−i32−1+i3−1+i31−i321−i32−1+i31−i321−i321−i300−1+i3200−1−i31+i32−1−i3−1−i31+i321+i32−1−i31+i321+i321+i300−1−i3200
χ2644-2-2-2-211100000044-2-2-2-2111000000−2+2i3−2+2i31−i31−i31−i31−i3−1+i32−1+i32−1+i32000000−2−2i3−2−2i31+i31+i31+i31+i3−1−i32−1−i32−1−i32000000
χ274-24-2-21-2110000004-24-2-21-211000000−2+2i31−i3−2+2i31−i31−i3−1+i321−i3−1+i32−1+i32000000−2−2i31+i3−2−2i31+i31+i3−1−i321+i3−1−i32−1−i32000000
χ284-2-241-2-2110000004-2-241-2-211000000−2+2i31−i31−i3−2+2i3−1+i321−i31−i3−1+i32−1+i32000000−2−2i31+i31+i3−2−2i3−1−i321+i31+i3−1−i32−1−i32000000
χ294-2-2-2111−1+3i32−1−3i320000004-2-2-2111−1+3i32−1−3i32000000−2+2i31−i31−i31−i3−1+i32−1+i32−1+i32−2−i35+i32000000−2−2i31+i31+i31+i3−1−i32−1−i32−1−i325−i32−2+i3000000
χ304-2-2-2111−1−3i32−1+3i320000004-2-2-2111−1−3i32−1+3i32000000−2+2i31−i31−i31−i3−1+i32−1+i32−1+i325+i32−2−i3000000−2−2i31+i31+i31+i3−1−i32−1−i32−1−i32−2+i35−i32000000
χ31111111111111111111111111111111−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ321111111111-1-11-1-11111111111-1-11-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32
χ33111111111-11-1-11-1111111111-11-1-11-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32
χ34111111111-1-11-1-11111111111-1-11-1-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32
χ35222-12-1-1-1-100200-1222-12-1-1-1-100200-1−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i3200−1−i3001+i32−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i3200−1+i3001−i32
χ36222-12-1-1-1-100-2001222-12-1-1-1-100-2001−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i32001+i300−1−i32−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i32001−i300−1+i32
χ3722-12-12-1-1-10200-1022-12-12-1-1-10200-10−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i320−1−i3001+i320−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i320−1+i3001−i320
χ3822-12-12-1-1-10-2001022-12-12-1-1-10-20010−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i3201+i300−1−i320−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i3201−i300−1+i320
χ392-122-1-12-1-1200-1002-122-1-12-1-1200-100−1−i31+i32−1−i3−1−i31+i321+i32−1−i31+i321+i32−1−i3001+i3200−1+i31−i32−1+i3−1+i31−i321−i32−1+i31−i321−i32−1+i3001−i3200
χ402-122-1-12-1-1-2001002-122-1-12-1-1-200100−1−i31+i32−1−i3−1−i31+i321+i32−1−i31+i321+i321+i300−1−i3200−1+i31−i32−1+i3−1+i31−i321−i32−1+i31−i321−i321−i300−1+i3200
χ4144-2-2-2-211100000044-2-2-2-2111000000−2−2i3−2−2i31+i31+i31+i31+i3−1−i32−1−i32−1−i32000000−2+2i3−2+2i31−i31−i31−i31−i3−1+i32−1+i32−1+i32000000
χ424-24-2-21-2110000004-24-2-21-211000000−2−2i31+i3−2−2i31+i31+i3−1−i321+i3−1−i32−1−i32000000−2+2i31−i3−2+2i31−i31−i3−1+i321−i3−1+i32−1+i32000000
χ434-2-241-2-2110000004-2-241-2-211000000−2−2i31+i31+i3−2−2i3−1−i321+i31+i3−1−i32−1−i32000000−2+2i31−i31−i3−2+2i3−1+i321−i31−i3−1+i32−1+i32000000
χ444-2-2-2111−1+3i32−1−3i320000004-2-2-2111−1+3i32−1−3i32000000−2−2i31+i31+i31+i3−1−i32−1−i32−1−i325−i32−2+i3000000−2+2i31−i31−i31−i3−1+i32−1+i32−1+i32−2−i35+i32000000
χ454-2-2-2111−1−3i32−1+3i320000004-2-2-2111−1−3i32−1+3i32000000−2−2i31+i31+i31+i3−1−i32−1−i32−1−i32−2+i35−i32000000−2+2i31−i31−i31−i3−1+i32−1+i32−1+i325+i32−2−i3000000
χ46333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000
χ473333333333-3-33-3-3-1-1-1-1-1-1-1-1-1-111-111000000000000000000000000000000
χ48333333333-33-3-33-3-1-1-1-1-1-1-1-1-11-111-11000000000000000000000000000000
χ49333333333-3-33-3-33-1-1-1-1-1-1-1-1-111-111-1000000000000000000000000000000
χ50666-36-3-3-3-300600-3-2-2-21-2111100-2001000000000000000000000000000000
χ51666-36-3-3-3-300-6003-2-2-21-2111100200-1000000000000000000000000000000
χ5266-36-36-3-3-30600-30-2-21-21-21110-20010000000000000000000000000000000
χ5366-36-36-3-3-30-60030-2-21-21-21110200-10000000000000000000000000000000
χ546-366-3-36-3-3600-300-21-2-211-211-200100000000000000000000000000000000
χ556-366-3-36-3-3-600300-21-2-211-211200-100000000000000000000000000000000
χ561212-6-6-6-6333000000-4-42222-1-1-1000000000000000000000000000000000000
χ5712-612-6-63-633000000-42-422-12-1-1000000000000000000000000000000000000
χ5812-6-6123-6-633000000-422-4-122-1-1000000000000000000000000000000000000
χ5912-6-6-6333−3+9i32−3−9i32000000-4222-1-1-11−3i321+3i32000000000000000000000000000000000000
χ6012-6-6-6333−3−9i32−3+9i32000000-4222-1-1-11+3i321−3i32000000000000000000000000000000000000

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