Finite Group Databasebeta

← Group #11923073

Character table — Group #11923073

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11222444466888888121212121216161616161616161636367272721122244446688888812121212121616161616161616163636727272
order12346412121224333666266612121212121212121212444882264641212122466666626661212121212121212121244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-11111111111111111111111111111111-1-1-1-1-1
χ311111-11-1-111111111-11-1-11111-1-1-1-1-1-111-11-111111-11-1-111111111-11-1-11111-1-1-1-1-1-111-11-1
χ411111-11-1-111111111-11-1-11111-1-1-1-1-1-1-1-11-1111111-11-1-111111111-11-1-11111-1-1-1-1-1-1-1-11-11
χ522222222222-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-10000022222222222-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-100000
χ622222-22-2-222-1-1-1-1-1-1-22-2-22-1-1-11111110000022222-22-2-222-1-1-1-1-1-1-22-2-22-1-1-111111100000
χ7222-220-200-222222220-2002-2-2-200000000000222-220-200-222222220-2002-2-2-200000000000
χ8222-220-200-22-1-1-1-1-1-10-2002111−i3−i3−i3i3i3i300000222-220-200-22-1-1-1-1-1-10-2002111−i3−i3−i3i3i3i300000
χ9222-220-200-22-1-1-1-1-1-10-2002111i3i3i3−i3−i3−i300000222-220-200-22-1-1-1-1-1-10-2002111i3i3i3−i3−i3−i300000
χ1022-12-12-1-1-1222-1-12-1-12-1-1-1-12-1-12-1-12-1-10000022-12-12-1-1-1222-1-12-1-12-1-1-1-12-1-12-1-12-1-100000
χ1122-12-12-1-1-122-12-1-12-12-1-1-1-1-12-1-12-1-12-10000022-12-12-1-1-122-12-1-12-12-1-1-1-1-12-1-12-1-12-100000
χ1222-12-12-1-1-122-1-12-1-122-1-1-1-1-1-12-1-12-1-120000022-12-12-1-1-122-1-12-1-122-1-1-1-1-1-12-1-12-1-1200000
χ1322-12-1-2-111222-1-12-1-1-2-111-12-1-1-211-2110000022-12-1-2-111222-1-12-1-1-2-111-12-1-1-211-21100000
χ1422-12-1-2-11122-12-1-12-1-2-111-1-12-11-211-210000022-12-1-2-11122-12-1-12-1-2-111-1-12-11-211-2100000
χ1522-12-1-2-11122-1-12-1-12-2-111-1-1-1211-211-20000022-12-1-2-11122-1-12-1-12-2-111-1-1-1211-211-200000
χ1622-1-2-101−i3i3-222-1-12-1-101−i3i3-1-2110−i3i30i3−i30000022-1-2-101−i3i3-222-1-12-1-101−i3i3-1-2110−i3i30i3−i300000
χ1722-1-2-101−i3i3-22-12-1-12-101−i3i3-11-21i30−i3−i30i30000022-1-2-101−i3i3-22-12-1-12-101−i3i3-11-21i30−i3−i30i300000
χ1822-1-2-101−i3i3-22-1-12-1-1201−i3i3-111-2−i3i30i3−i300000022-1-2-101−i3i3-22-1-12-1-1201−i3i3-111-2−i3i30i3−i3000000
χ1922-1-2-101i3−i3-222-1-12-1-101i3−i3-1-2110i3−i30−i3i30000022-1-2-101i3−i3-222-1-12-1-101i3−i3-1-2110i3−i30−i3i300000
χ2022-1-2-101i3−i3-22-12-1-12-101i3−i3-11-21−i30i3i30−i30000022-1-2-101i3−i3-22-12-1-12-101i3−i3-11-21−i30i3i30−i300000
χ2122-1-2-101i3−i3-22-1-12-1-1201i3−i3-111-2i3−i30−i3i300000022-1-2-101i3−i3-22-1-12-1-1201i3−i3-111-2i3−i30−i3i3000000
χ22333333333-1-1000000-1-1-1-1-100000000011-1-11333333333-1-1000000-1-1-1-1-100000000011-1-11
χ23333333333-1-1000000-1-1-1-1-1000000000-1-111-1333333333-1-1000000-1-1-1-1-1000000000-1-111-1
χ2433333-33-3-3-1-10000001-111-1000000000111-1-133333-33-3-3-1-10000001-111-1000000000111-1-1
χ2533333-33-3-3-1-10000001-111-1000000000-1-1-11133333-33-3-3-1-10000001-111-1000000000-1-1-111
χ264-440-4000000-2-2-2222000000000000002i−2i0004-440-4000000-2-2-2222000000000000002i−2i000
χ274-440-4000000-2-2-222200000000000000−2i2i0004-440-4000000-2-2-222200000000000000−2i2i000
χ28666-660-6002-20000000200-200000000000000666-660-6002-20000000200-200000000000000
χ2966-36-36-3-3-3-2-2000000-211110000000000000066-36-36-3-3-3-2-2000000-2111100000000000000
χ3066-36-3-6-333-2-200000021-1-110000000000000066-36-3-6-333-2-200000021-1-1100000000000000
χ3166-3-6-303−3i33i32-20000000-1i3−i310000000000000066-3-6-303−3i33i32-20000000-1i3−i3100000000000000
χ3266-3-6-3033i3−3i32-20000000-1−i3i310000000000000066-3-6-3033i3−3i32-20000000-1−i3i3100000000000000
χ338-880-8000000222-2-2-200000000000000000008-880-8000000222-2-2-20000000000000000000
χ348-8-40400000022-4-2-2400000000000000000008-8-40400000022-4-2-240000000000000000000
χ358-8-4040000002-42-24-200000000000000000008-8-4040000002-42-24-20000000000000000000
χ368-8-404000000-4224-2-200000000000000000008-8-404000000-4224-2-20000000000000000000
χ37111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ381111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ3911111-11-1-111111111-11-1-11111-1-1-1-1-1-111-11-1-1-1-1-1-11-111-1-1-1-1-1-1-1-11-111-1-1-1-1111111-1-11-11
χ4011111-11-1-111111111-11-1-11111-1-1-1-1-1-1-1-11-11-1-1-1-1-11-111-1-1-1-1-1-1-1-11-111-1-1-1-111111111-11-1
χ4122222222222-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-100000-2-2-2-2-2-2-2-2-2-2-2111111-2-2-2-2-211111111100000
χ4222222-22-2-222-1-1-1-1-1-1-22-2-22-1-1-111111100000-2-2-2-2-22-222-2-21111112-222-2111-1-1-1-1-1-100000
χ43222-220-200-222222220-2002-2-2-200000000000-2-2-22-202002-2-2-2-2-2-2-20200-222200000000000
χ44222-220-200-22-1-1-1-1-1-10-2002111−i3−i3−i3i3i3i300000-2-2-22-202002-21111110200-2-1-1-1i3i3i3−i3−i3−i300000
χ45222-220-200-22-1-1-1-1-1-10-2002111i3i3i3−i3−i3−i300000-2-2-22-202002-21111110200-2-1-1-1−i3−i3−i3i3i3i300000
χ4622-12-12-1-1-1222-1-12-1-12-1-1-1-12-1-12-1-12-1-100000-2-21-21-2111-2-2-211-211-21111-211-211-21100000
χ4722-12-12-1-1-122-12-1-12-12-1-1-1-1-12-1-12-1-12-100000-2-21-21-2111-2-21-211-21-211111-211-211-2100000
χ4822-12-12-1-1-122-1-12-1-122-1-1-1-1-1-12-1-12-1-1200000-2-21-21-2111-2-211-211-2-2111111-211-211-200000
χ4922-12-1-2-111222-1-12-1-1-2-111-12-1-1-211-21100000-2-21-2121-1-1-2-2-211-21121-1-11-2112-1-12-1-100000
χ5022-12-1-2-11122-12-1-12-1-2-111-1-12-11-211-2100000-2-21-2121-1-1-2-21-211-2121-1-111-21-12-1-12-100000
χ5122-12-1-2-11122-1-12-1-12-2-111-1-1-1211-211-200000-2-21-2121-1-1-2-211-211-221-1-1111-2-1-12-1-1200000
χ5222-1-2-101−i3i3-222-1-12-1-101−i3i3-1-2110−i3i30i3−i300000-2-21210-1i3−i32-2-211-2110-1i3−i312-1-10i3−i30−i3i300000
χ5322-1-2-101−i3i3-22-12-1-12-101−i3i3-11-21i30−i3−i30i300000-2-21210-1i3−i32-21-211-210-1i3−i31-12-1−i30i3i30−i300000
χ5422-1-2-101−i3i3-22-1-12-1-1201−i3i3-111-2−i3i30i3−i3000000-2-21210-1i3−i32-211-211-20-1i3−i31-1-12i3−i30−i3i3000000
χ5522-1-2-101i3−i3-222-1-12-1-101i3−i3-1-2110i3−i30−i3i300000-2-21210-1−i3i32-2-211-2110-1−i3i312-1-10−i3i30i3−i300000
χ5622-1-2-101i3−i3-22-12-1-12-101i3−i3-11-21−i30i3i30−i300000-2-21210-1−i3i32-21-211-210-1−i3i31-12-1i30−i3−i30i300000
χ5722-1-2-101i3−i3-22-1-12-1-1201i3−i3-111-2i3−i30−i3i3000000-2-21210-1−i3i32-211-211-20-1−i3i31-1-12−i3i30i3−i3000000
χ58333333333-1-1000000-1-1-1-1-100000000011-1-11-3-3-3-3-3-3-3-3-31100000011111000000000-1-111-1
χ59333333333-1-1000000-1-1-1-1-1000000000-1-111-1-3-3-3-3-3-3-3-3-3110000001111100000000011-1-11
χ6033333-33-3-3-1-10000001-111-1000000000111-1-1-3-3-3-3-33-33311000000-11-1-11000000000-1-1-111
χ6133333-33-3-3-1-10000001-111-1000000000-1-1-111-3-3-3-3-33-33311000000-11-1-11000000000111-1-1
χ624-440-4000000-2-2-2222000000000000002i−2i000-44-404000000222-2-2-200000000000000−2i2i000
χ634-440-4000000-2-2-222200000000000000−2i2i000-44-404000000222-2-2-2000000000000002i−2i000
χ64666-660-6002-20000000200-200000000000000-6-6-66-60600-220000000-200200000000000000
χ6566-36-36-3-3-3-2-2000000-2111100000000000000-6-63-63-6333220000002-1-1-1-100000000000000
χ6666-36-3-6-333-2-200000021-1-1100000000000000-6-63-6363-3-322000000-2-111-100000000000000
χ6766-3-6-303−3i33i32-20000000-1i3−i3100000000000000-6-63630-33i3−3i3-2200000001−i3i3-100000000000000
χ6866-3-6-3033i3−3i32-20000000-1−i3i3100000000000000-6-63630-3−3i33i3-2200000001i3−i3-100000000000000
χ698-880-8000000222-2-2-20000000000000000000-88-808000000-2-2-22220000000000000000000
χ708-8-40400000022-4-2-240000000000000000000-8840-4000000-2-2422-40000000000000000000
χ718-8-4040000002-42-24-20000000000000000000-8840-4000000-24-22-420000000000000000000
χ728-8-404000000-4224-2-20000000000000000000-8840-40000004-2-2-4220000000000000000000

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