Finite Group Databasebeta

← Group #11921922

Character table — Group #11921922

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1122233466688121216161616162424242424243636363636484811222334666881212161616161624242424242436363636364848
order12346221246636212361212122466121228888662264622124666621266121212246612122888866
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-1-1-11-1-1-1-11111111111111111111111-1-1-1-1-1-11-1-1-1-111
χ31111111111111-1111111111111-1-1-1-1-1-1-11111111111111-1111111111111-1-1-1-1-1-1-1
χ41111111111111-1111111-1-1-1-1-1-1-11111-1-11111111111111-1111111-1-1-1-1-1-1-11111-1-1
χ522222222222-1-122-1-1-1-1-100000020000-1-122222222222-1-122-1-1-1-1-100000020000-1-1
χ622222222222-1-1-22-1-1-1-1-1000000-200001122222222222-1-1-22-1-1-1-1-1000000-2000011
χ7222-2222-2-222220-222-2-2-20000000000000222-2222-2-222220-222-2-2-20000000000000
χ8222-2222-2-222-1-10-2-1-111100000000000−i3i3222-2222-2-222-1-10-2-1-111100000000000−i3i3
χ9222-2222-2-222-1-10-2-1-111100000000000i3−i3222-2222-2-222-1-10-2-1-111100000000000i3−i3
χ1022-12-122-12-1-1220-1-1-12-1-122-1-1-1-1000000022-12-122-12-1-1220-1-1-12-1-122-1-1-1-10000000
χ1122-12-122-12-1-1220-1-1-12-1-1-2-21111000000022-12-122-12-1-1220-1-1-12-1-1-2-211110000000
χ1222-1-2-1221-2-1-12201-1-1-21100−i3i3−i3i3000000022-1-2-1221-2-1-12201-1-1-21100−i3i3−i3i30000000
χ1322-1-2-1221-2-1-12201-1-1-21100i3−i3i3−i3000000022-1-2-1221-2-1-12201-1-1-21100i3−i3i3−i30000000
χ142-220-2-2200-222-2002-200000000002−22−2002-220-2-2200-222-2002-200000000002−22−200
χ152-220-2-2200-222-2002-20000000000−22−22002-220-2-2200-222-2002-20000000000−22−2200
χ1633333-1-13-1-1-1003-1000001-111-1-1-111-1-10033333-1-13-1-1-1003-1000001-111-1-1-111-1-100
χ1733333-1-13-1-1-1003-100000-11-1-111-1-1-1110033333-1-13-1-1-1003-100000-11-1-111-1-1-11100
χ1833333-1-13-1-1-100-3-1000001-111-1-11-1-1110033333-1-13-1-1-100-3-1000001-111-1-11-1-11100
χ1933333-1-13-1-1-100-3-100000-11-1-111111-1-10033333-1-13-1-1-100-3-100000-11-1-111111-1-100
χ2044-24-244-24-2-2-2-20-211-211000000000000044-24-244-24-2-2-2-20-211-2110000000000000
χ2144-2-4-2442-4-2-2-2-202112-1-1000000000000044-2-4-2442-4-2-2-2-202112-1-10000000000000
χ224-440-4-4400-44-2200-2200000000000000004-440-4-4400-44-2200-220000000000000000
χ234-4-202-44002-24-400-2200000000000000004-4-202-44002-24-400-220000000000000000
χ244-4-202-44002-2-22001-103i−3i00000000000004-4-202-44002-2-22001-103i−3i0000000000000
χ254-4-202-44002-2-22001-10−3i3i00000000000004-4-202-44002-2-22001-10−3i3i0000000000000
χ26666-66-2-2-62-2-20002000000000000000000666-66-2-2-62-2-20002000000000000000000
χ2766-36-3-2-2-3-2110001000002-2-1-111000000066-36-3-2-2-3-2110001000002-2-1-1110000000
χ2866-36-3-2-2-3-211000100000-2211-1-1000000066-36-3-2-2-3-211000100000-2211-1-10000000
χ2966-3-6-3-2-23211000-10000000−i3i3i3−i3000000066-3-6-3-2-23211000-10000000−i3i3i3−i30000000
χ3066-3-6-3-2-23211000-10000000i3−i3−i3i3000000066-3-6-3-2-23211000-10000000i3−i3−i3i30000000
χ316-660-62-2002-200000000000000002−2−22006-660-62-2002-200000000000000002−2−2200
χ326-660-62-2002-20000000000000000−222−2006-660-62-2002-20000000000000000−222−200
χ3312-12-6064-400-22000000000000000000000012-12-6064-400-220000000000000000000000
χ34111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3511111111111111111111-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11111-1-1
χ361111111111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111111
χ371111111111111-1111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111111-1-1-1-111
χ3822222222222-1-122-1-1-1-1-100000020000-1-1-2-2-2-2-2-2-2-2-2-2-211-2-211111000000-2000011
χ3922222222222-1-1-22-1-1-1-1-1000000-2000011-2-2-2-2-2-2-2-2-2-2-2112-21111100000020000-1-1
χ40222-2222-2-222220-222-2-2-20000000000000-2-2-22-2-2-222-2-2-2-202-2-22220000000000000
χ41222-2222-2-222-1-10-2-1-111100000000000−i3i3-2-2-22-2-2-222-2-2110211-1-1-100000000000i3−i3
χ42222-2222-2-222-1-10-2-1-111100000000000i3−i3-2-2-22-2-2-222-2-2110211-1-1-100000000000−i3i3
χ4322-12-122-12-1-1220-1-1-12-1-122-1-1-1-10000000-2-21-21-2-21-211-2-20111-211-2-211110000000
χ4422-12-122-12-1-1220-1-1-12-1-1-2-211110000000-2-21-21-2-21-211-2-20111-21122-1-1-1-10000000
χ4522-1-2-1221-2-1-12201-1-1-21100−i3i3−i3i30000000-2-2121-2-2-1211-2-20-1112-1-100i3−i3i3−i30000000
χ4622-1-2-1221-2-1-12201-1-1-21100i3−i3i3−i30000000-2-2121-2-2-1211-2-20-1112-1-100−i3i3−i3i30000000
χ472-220-2-2200-222-2002-200000000002−22−200-22-2022-2002-2-2200-220000000000−22−2200
χ482-220-2-2200-222-2002-20000000000−22−2200-22-2022-2002-2-2200-2200000000002−22−200
χ4933333-1-13-1-1-1003-1000001-111-1-1-111-1-100-3-3-3-3-311-311100-3100000-11-1-1111-1-11100
χ5033333-1-13-1-1-1003-100000-11-1-111-1-1-11100-3-3-3-3-311-311100-31000001-111-1-1111-1-100
χ5133333-1-13-1-1-100-3-1000001-111-1-11-1-11100-3-3-3-3-311-3111003100000-11-1-111-111-1-100
χ5233333-1-13-1-1-100-3-100000-11-1-111111-1-100-3-3-3-3-311-31110031000001-111-1-1-1-1-11100
χ5344-24-244-24-2-2-2-20-211-2110000000000000-4-42-42-4-42-4222202-1-12-1-10000000000000
χ5444-2-4-2442-4-2-2-2-202112-1-10000000000000-4-4242-4-4-2422220-2-1-1-2110000000000000
χ554-440-4-4400-44-2200-220000000000000000-44-4044-4004-42-2002-20000000000000000
χ564-4-202-44002-24-400-220000000000000000-4420-24-400-22-44002-20000000000000000
χ574-4-202-44002-2-22001-103i−3i0000000000000-4420-24-400-222-200-110−3i3i0000000000000
χ584-4-202-44002-2-22001-10−3i3i0000000000000-4420-24-400-222-200-1103i−3i0000000000000
χ59666-66-2-2-62-2-20002000000000000000000-6-6-66-6226-222000-2000000000000000000
χ6066-36-3-2-2-3-2110001000002-2-1-1110000000-6-63-632232-1-1000-100000-2211-1-10000000
χ6166-36-3-2-2-3-211000100000-2211-1-10000000-6-63-632232-1-1000-1000002-2-1-1110000000
χ6266-3-6-3-2-23211000-10000000−i3i3i3−i30000000-6-636322-3-2-1-100010000000i3−i3−i3i30000000
χ6366-3-6-3-2-23211000-10000000i3−i3−i3i30000000-6-636322-3-2-1-100010000000−i3i3i3−i30000000
χ646-660-62-2002-200000000000000002−2−2200-66-606-2200-220000000000000000−222−200
χ656-660-62-2002-20000000000000000−222−200-66-606-2200-2200000000000000002−2−2200
χ6612-12-6064-400-220000000000000000000000-121260-6-44002-20000000000000000000000

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