Finite Group Databasebeta

← Group #13048776

Character table — Group #13048776

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11222222226666121212121212121212121818181818181818185454545454541122222222666612121212121212121212181818181818181818545454545454
order1233336666336633333666664121212121212121222666622666666666666666666666641212121212121212226666
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1-11-111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-11-111-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-111
χ522222222222-12-12-1-1-1-12-1-1-1-10000000000200-1-122222222222-12-12-1-1-1-12-1-1-1-10000000000200-1-1
χ622222222222-12-12-1-1-1-12-1-1-1-10000000000-2001122222222222-12-12-1-1-1-12-1-1-1-10000000000-20011
χ72222222222-12-12-12-1-1-1-12-1-1-100000000020-1-1002222222222-12-12-12-1-1-1-12-1-1-100000000020-1-100
χ82222222222-12-12-12-1-1-1-12-1-1-1000000000-2011002222222222-12-12-12-1-1-1-12-1-1-1000000000-201100
χ9222-1-1-12-1-1-12222-1-12-1-1-1-12-1-1222-1-1-1-1-1-1000000222-1-1-12-1-1-12222-1-12-1-1-1-12-1-1222-1-1-1-1-1-1000000
χ10222-1-1-12-1-1-12222-1-12-1-1-1-12-1-1-2-2-2111111000000222-1-1-12-1-1-12222-1-12-1-1-1-12-1-1-2-2-2111111000000
χ112-22222-2-2-2-222-2-222222-2-2-2-2-20000000000000002-22222-2-2-2-222-2-222222-2-2-2-2-2000000000000000
χ122-22222-2-2-2-22-1-212-1-1-1-1-211110000000000000−i3i32-22222-2-2-2-22-1-212-1-1-1-1-211110000000000000−i3i3
χ132-22222-2-2-2-22-1-212-1-1-1-1-211110000000000000i3−i32-22222-2-2-2-22-1-212-1-1-1-1-211110000000000000i3−i3
χ142-22222-2-2-2-2-121-2-12-1-1-11-211100000000000−i3i3002-22222-2-2-2-2-121-2-12-1-1-11-211100000000000−i3i300
χ152-22222-2-2-2-2-121-2-12-1-1-11-211100000000000i3−i3002-22222-2-2-2-2-121-2-12-1-1-11-211100000000000i3−i300
χ162-22-1-1-1-211122-2-2-1-12-1-111-211000333−3−3−30000002-22-1-1-1-211122-2-2-1-12-1-111-211000333−3−3−3000000
χ172-22-1-1-1-211122-2-2-1-12-1-111-211000−3−3−33330000002-22-1-1-1-211122-2-2-1-12-1-111-211000−3−3−3333000000
χ184444444444-2-2-2-2-2-2111-2-21110000000000000004444444444-2-2-2-2-2-2111-2-2111000000000000000
χ19444-2-2-24-2-2-24-24-2-21-211-21-211000000000000000444-2-2-24-2-2-24-24-2-21-211-21-211000000000000000
χ20444-2-2-24-2-2-2-24-241-2-2111-2-211000000000000000444-2-2-24-2-2-2-24-241-2-2111-2-211000000000000000
χ21444-2-2-24-2-2-2-2-2-2-2111−1−3i32−1+3i32111−1−3i32−1+3i32000000000000000444-2-2-24-2-2-2-2-2-2-2111−1−3i32−1+3i32111−1−3i32−1+3i32000000000000000
χ22444-2-2-24-2-2-2-2-2-2-2111−1+3i32−1−3i32111−1+3i32−1−3i32000000000000000444-2-2-24-2-2-2-2-2-2-2111−1+3i32−1−3i32111−1+3i32−1−3i32000000000000000
χ234-44444-4-4-4-4-2-222-2-211122-1-1-10000000000000004-44444-4-4-4-4-2-222-2-211122-1-1-1000000000000000
χ244-44-2-2-2-42224-2-42-21-2112-12-1-10000000000000004-44-2-2-2-42224-2-42-21-2112-12-1-1000000000000000
χ254-44-2-2-2-4222-242-41-2-211-122-1-10000000000000004-44-2-2-2-4222-242-41-2-211-122-1-1000000000000000
χ264-44-2-2-2-4222-2-222111−1−3i32−1+3i32-1-1-11+3i321−3i320000000000000004-44-2-2-2-4222-2-222111−1−3i32−1+3i32-1-1-11+3i321−3i32000000000000000
χ274-44-2-2-2-4222-2-222111−1+3i32−1−3i32-1-1-11−3i321+3i320000000000000004-44-2-2-2-4222-2-222111−1+3i32−1−3i32-1-1-11−3i321+3i32000000000000000
χ2866-36-3-3-36-3-3000000000000002-1-12-1-12-1-100000066-36-3-3-36-3-3000000000000002-1-12-1-12-1-1000000
χ2966-36-3-3-36-3-300000000000000-211-211-21100000066-36-3-3-36-3-300000000000000-211-211-211000000
χ3066-3-36-3-3-36-3000000000000002-1-1-12-1-12-100000066-3-36-3-3-36-3000000000000002-1-1-12-1-12-1000000
χ3166-3-36-3-3-36-300000000000000-2111-211-2100000066-3-36-3-3-36-300000000000000-2111-211-21000000
χ3266-3-3-36-3-3-36000000000000002-1-1-1-12-1-1200000066-3-3-36-3-3-36000000000000002-1-1-1-12-1-12000000
χ3366-3-3-36-3-3-3600000000000000-21111-211-200000066-3-3-36-3-3-3600000000000000-21111-211-2000000
χ346-6-36-3-33-6330000000000000003−303−30−330000006-6-36-3-33-6330000000000000003−303−30−33000000
χ356-6-36-3-33-633000000000000000−330−3303−30000006-6-36-3-33-633000000000000000−330−3303−3000000
χ366-6-3-36-333-630000000000000003−3−30330−30000006-6-3-36-333-630000000000000003−3−30330−3000000
χ376-6-3-36-333-63000000000000000−3330−3−3030000006-6-3-36-333-63000000000000000−3330−3−303000000
χ386-6-3-3-36333-60000000000000003−33−30−3300000006-6-3-3-36333-60000000000000003−33−30−330000000
χ396-6-3-3-36333-6000000000000000−33−3303−300000006-6-3-3-36333-6000000000000000−33−3303−30000000
χ40111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ42111111111111111111111111-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-111
χ43111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1
χ4422222222222-12-12-1-1-1-12-1-1-1-10000000000200-1-1-2-2-2-2-2-2-2-2-2-2-21-21-21111-211110000000000-20011
χ4522222222222-12-12-1-1-1-12-1-1-1-10000000000-20011-2-2-2-2-2-2-2-2-2-2-21-21-21111-211110000000000200-1-1
χ462222222222-12-12-12-1-1-1-12-1-1-100000000020-1-100-2-2-2-2-2-2-2-2-2-21-21-21-21111-2111000000000-201100
χ472222222222-12-12-12-1-1-1-12-1-1-1000000000-201100-2-2-2-2-2-2-2-2-2-21-21-21-21111-211100000000020-1-100
χ48222-1-1-12-1-1-12222-1-12-1-1-1-12-1-1222-1-1-1-1-1-1000000-2-2-2111-2111-2-2-2-211-21111-211-2-2-2111111000000
χ49222-1-1-12-1-1-12222-1-12-1-1-1-12-1-1-2-2-2111111000000-2-2-2111-2111-2-2-2-211-21111-211222-1-1-1-1-1-1000000
χ502-22222-2-2-2-222-2-222222-2-2-2-2-2000000000000000-22-2-2-2-22222-2-222-2-2-2-2-222222000000000000000
χ512-22222-2-2-2-22-1-212-1-1-1-1-211110000000000000−i3i3-22-2-2-2-22222-212-1-211112-1-1-1-10000000000000i3−i3
χ522-22222-2-2-2-22-1-212-1-1-1-1-211110000000000000i3−i3-22-2-2-2-22222-212-1-211112-1-1-1-10000000000000−i3i3
χ532-22222-2-2-2-2-121-2-12-1-1-11-211100000000000−i3i300-22-2-2-2-222221-2-121-2111-12-1-1-100000000000i3−i300
χ542-22222-2-2-2-2-121-2-12-1-1-11-211100000000000i3−i300-22-2-2-2-222221-2-121-2111-12-1-1-100000000000−i3i300
χ552-22-1-1-1-211122-2-2-1-12-1-111-211000333−3−3−3000000-22-21112-1-1-1-2-22211-211-1-12-1-1000−3−3−3333000000
χ562-22-1-1-1-211122-2-2-1-12-1-111-211000−3−3−3333000000-22-21112-1-1-1-2-22211-211-1-12-1-1000333−3−3−3000000
χ574444444444-2-2-2-2-2-2111-2-2111000000000000000-4-4-4-4-4-4-4-4-4-4222222-1-1-122-1-1-1000000000000000
χ58444-2-2-24-2-2-24-24-2-21-211-21-211000000000000000-4-4-4222-4222-42-422-12-1-12-12-1-1000000000000000
χ59444-2-2-24-2-2-2-24-241-2-2111-2-211000000000000000-4-4-4222-42222-42-4-122-1-1-122-1-1000000000000000
χ60444-2-2-24-2-2-2-2-2-2-2111−1−3i32−1+3i32111−1−3i32−1+3i32000000000000000-4-4-4222-42222222-1-1-11+3i321−3i32-1-1-11+3i321−3i32000000000000000
χ61444-2-2-24-2-2-2-2-2-2-2111−1+3i32−1−3i32111−1+3i32−1−3i32000000000000000-4-4-4222-42222222-1-1-11−3i321+3i32-1-1-11−3i321+3i32000000000000000
χ624-44444-4-4-4-4-2-222-2-211122-1-1-1000000000000000-44-4-4-4-4444422-2-222-1-1-1-2-2111000000000000000
χ634-44-2-2-2-42224-2-42-21-2112-12-1-1000000000000000-44-42224-2-2-2-424-22-12-1-1-21-211000000000000000
χ644-44-2-2-2-4222-242-41-2-211-122-1-1000000000000000-44-42224-2-2-22-4-24-122-1-11-2-211000000000000000
χ654-44-2-2-2-4222-2-222111−1−3i32−1+3i32-1-1-11+3i321−3i32000000000000000-44-42224-2-2-222-2-2-1-1-11+3i321−3i32111−1−3i32−1+3i32000000000000000
χ664-44-2-2-2-4222-2-222111−1+3i32−1−3i32-1-1-11−3i321+3i32000000000000000-44-42224-2-2-222-2-2-1-1-11−3i321+3i32111−1+3i32−1−3i32000000000000000
χ6766-36-3-3-36-3-3000000000000002-1-12-1-12-1-1000000-6-63-6333-63300000000000000-211-211-211000000
χ6866-36-3-3-36-3-300000000000000-211-211-211000000-6-63-6333-633000000000000002-1-12-1-12-1-1000000
χ6966-3-36-3-3-36-3000000000000002-1-1-12-1-12-1000000-6-633-6333-6300000000000000-2111-211-21000000
χ7066-3-36-3-3-36-300000000000000-2111-211-21000000-6-633-6333-63000000000000002-1-1-12-1-12-1000000
χ7166-3-3-36-3-3-36000000000000002-1-1-1-12-1-12000000-6-6333-6333-600000000000000-21111-211-2000000
χ7266-3-3-36-3-3-3600000000000000-21111-211-2000000-6-6333-6333-6000000000000002-1-1-1-12-1-12000000
χ736-6-36-3-33-6330000000000000003−303−30−33000000-663-633-36-3-3000000000000000−330−3303−3000000
χ746-6-36-3-33-633000000000000000−330−3303−3000000-663-633-36-3-30000000000000003−303−30−33000000
χ756-6-3-36-333-630000000000000003−3−30330−3000000-6633-63-3-36-3000000000000000−3330−3−303000000
χ766-6-3-36-333-63000000000000000−3330−3−303000000-6633-63-3-36-30000000000000003−3−30330−3000000
χ776-6-3-3-36333-60000000000000003−33−30−330000000-66333-6-3-3-36000000000000000−33−3303−30000000
χ786-6-3-3-36333-6000000000000000−33−3303−30000000-66333-6-3-3-360000000000000003−33−30−330000000

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