Finite Group Databasebeta

← Group #11923080

Character table — Group #11923080

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11222444466888888121212121216161616161616161636367272721122244446688888812121212121616161616161616163636727272
order12346266122433366646121212666666121212444882264626612246666664612121266666612121244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-11111111111111111111111111111111-1-1-1-1-1
χ311111-1-1-1111111111-111-1-1-1-1-1-1-1-111111-11-111111-1-1-1111111111-111-1-1-1-1-1-1-1-111111-11-1
χ411111-1-1-1111111111-111-1-1-1-1-1-1-1-1111-1-11-1111111-1-1-1111111111-111-1-1-1-1-1-1-1-1111-1-11-11
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
χ622222-2-2-2222-1-1-1-1-1-1-222-2-2111111-1-1-10000022222-2-2-2222-1-1-1-1-1-1-222-2-2111111-1-1-100000
χ7222-22000-2-222222220-2200000000-2-2-200000222-22000-2-222222220-2200000000-2-2-200000
χ8222-22000-2-22-1-1-1-1-1-10-2200i3i3i3−i3−i3−i311100000222-22000-2-22-1-1-1-1-1-10-2200i3i3i3−i3−i3−i311100000
χ9222-22000-2-22-1-1-1-1-1-10-2200−i3−i3−i3i3i3i311100000222-22000-2-22-1-1-1-1-1-10-2200−i3−i3−i3i3i3i311100000
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
χ1322-12-1-211-1222-1-12-1-1-2-1-111-211-2112-1-10000022-12-1-211-1222-1-12-1-1-2-1-111-211-2112-1-100000
χ1422-12-1-211-122-12-1-12-1-2-1-1111-211-21-12-10000022-12-1-211-122-12-1-12-1-2-1-1111-211-21-12-100000
χ1522-12-1-211-122-1-12-1-12-2-1-11111-211-2-1-120000022-12-1-211-122-1-12-1-12-2-1-11111-211-2-1-1200000
χ1622-1-2-10i3−i31-222-1-12-1-101-1i3−i30i3−i30−i3i3-2110000022-1-2-10i3−i31-222-1-12-1-101-1i3−i30i3−i30−i3i3-21100000
χ1722-1-2-10i3−i31-22-12-1-12-101-1i3−i3−i30i3i30−i31-210000022-1-2-10i3−i31-22-12-1-12-101-1i3−i3−i30i3i30−i31-2100000
χ1822-1-2-10i3−i31-22-1-12-1-1201-1i3−i3i3−i30−i3i3011-20000022-1-2-10i3−i31-22-1-12-1-1201-1i3−i3i3−i30−i3i3011-200000
χ1922-1-2-10−i3i31-222-1-12-1-101-1−i3i30−i3i30i3−i3-2110000022-1-2-10−i3i31-222-1-12-1-101-1−i3i30−i3i30i3−i3-21100000
χ2022-1-2-10−i3i31-22-12-1-12-101-1−i3i3i30−i3−i30i31-210000022-1-2-10−i3i31-22-12-1-12-101-1−i3i3i30−i3−i30i31-2100000
χ2122-1-2-10−i3i31-22-1-12-1-1201-1−i3i3−i3i30i3−i3011-20000022-1-2-10−i3i31-22-1-12-1-1201-1−i3i3−i3i30i3−i3011-200000
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
χ2433333-3-3-33-1-10000001-1-111000000000111-1-133333-3-3-33-1-10000001-1-111000000000111-1-1
χ2533333-3-3-33-1-10000001-1-111000000000-1-1-11133333-3-3-33-1-10000001-1-111000000000-1-1-111
χ264-440-4000000-2-2-2222000000000000002-20004-440-4000000-2-2-2222000000000000002-2000
χ274-440-4000000-2-2-222200000000000000-220004-440-4000000-2-2-222200000000000000-22000
χ28666-66000-62-200000002-20000000000000000666-66000-62-200000002-20000000000000000
χ2966-36-36-3-3-3-2-2000000-211110000000000000066-36-36-3-3-3-2-2000000-2111100000000000000
χ3066-36-3-633-3-2-2000000211-1-10000000000000066-36-3-633-3-2-2000000211-1-100000000000000
χ3166-3-6-303i3−3i332-20000000-11−i3i30000000000000066-3-6-303i3−3i332-20000000-11−i3i300000000000000
χ3266-3-6-30−3i33i332-20000000-11i3−i30000000000000066-3-6-30−3i33i332-20000000-11i3−i300000000000000
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
χ3911111-1-1-1111111111-111-1-1-1-1-1-1-1-111111-11-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-11-1-111111111-1-1-1-1-11-11
χ4011111-1-1-1111111111-111-1-1-1-1-1-1-1-1111-1-11-11-1-1-1-1-1111-1-1-1-1-1-1-1-1-11-1-111111111-1-1-111-11-1
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
χ4222222-2-2-2222-1-1-1-1-1-1-222-2-2111111-1-1-100000-2-2-2-2-2222-2-2-21111112-2-222-1-1-1-1-1-111100000
χ43222-22000-2-222222220-2200000000-2-2-200000-2-2-22-200022-2-2-2-2-2-2-202-20000000022200000
χ44222-22000-2-22-1-1-1-1-1-10-2200i3i3i3−i3−i3−i311100000-2-2-22-200022-211111102-200−i3−i3−i3i3i3i3-1-1-100000
χ45222-22000-2-22-1-1-1-1-1-10-2200−i3−i3−i3i3i3i311100000-2-2-22-200022-211111102-200i3i3i3−i3−i3−i3-1-1-100000
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
χ4922-12-1-211-1222-1-12-1-1-2-1-111-211-2112-1-100000-2-21-212-1-11-2-2-211-211211-1-12-1-12-1-1-21100000
χ5022-12-1-211-122-12-1-12-1-2-1-1111-211-21-12-100000-2-21-212-1-11-2-21-211-21211-1-1-12-1-12-11-2100000
χ5122-12-1-211-122-1-12-1-12-2-1-11111-211-2-1-1200000-2-21-212-1-11-2-211-211-2211-1-1-1-12-1-1211-200000
χ5222-1-2-10i3−i31-222-1-12-1-101-1i3−i30i3−i30−i3i3-21100000-2-21210−i3i3-12-2-211-2110-11−i3i30−i3i30i3−i32-1-100000
χ5322-1-2-10i3−i31-22-12-1-12-101-1i3−i3−i30i3i30−i31-2100000-2-21210−i3i3-12-21-211-210-11−i3i3i30−i3−i30i3-12-100000
χ5422-1-2-10i3−i31-22-1-12-1-1201-1i3−i3i3−i30−i3i3011-200000-2-21210−i3i3-12-211-211-20-11−i3i3−i3i30i3−i30-1-1200000
χ5522-1-2-10−i3i31-222-1-12-1-101-1−i3i30−i3i30i3−i3-21100000-2-21210i3−i3-12-2-211-2110-11i3−i30i3−i30−i3i32-1-100000
χ5622-1-2-10−i3i31-22-12-1-12-101-1−i3i3i30−i3−i30i31-2100000-2-21210i3−i3-12-21-211-210-11i3−i3−i30i3i30−i3-12-100000
χ5722-1-2-10−i3i31-22-1-12-1-1201-1−i3i3−i3i30i3−i3011-200000-2-21210i3−i3-12-211-211-20-11i3−i3i3−i30−i3i30-1-1200000
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
χ6033333-3-3-33-1-10000001-1-111000000000111-1-1-3-3-3-3-3333-311000000-111-1-1000000000-1-1-111
χ6133333-3-3-33-1-10000001-1-111000000000-1-1-111-3-3-3-3-3333-311000000-111-1-1000000000111-1-1
χ624-440-4000000-2-2-2222000000000000002-2000-44-404000000222-2-2-200000000000000-22000
χ634-440-4000000-2-2-222200000000000000-22000-44-404000000222-2-2-2000000000000002-2000
χ64666-66000-62-200000002-20000000000000000-6-6-66-60006-220000000-220000000000000000
χ6566-36-36-3-3-3-2-2000000-2111100000000000000-6-63-63-6333220000002-1-1-1-100000000000000
χ6666-36-3-633-3-2-2000000211-1-100000000000000-6-63-636-3-3322000000-2-1-11100000000000000
χ6766-3-6-303i3−3i332-20000000-11−i3i300000000000000-6-63630−3i33i3-3-2200000001-1i3−i300000000000000
χ6866-3-6-30−3i33i332-20000000-11i3−i300000000000000-6-636303i3−3i3-3-2200000001-1−i3i300000000000000
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).