Finite Group Databasebeta

← Group #13047377

Character table — Group #13047377

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size126666991818272727126666991818272727241212121218183636545454241212121218183636545454241212121218183636545454
order1333333399266266666661818266412121212121212363641212412121212121212363641212412121212121212363641212
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111-1-1-11111111111-1-1-11111111111-1-1-11111111111-1-1-11111111111-1-1-1
χ3111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32
χ4111111−1+i32−1−i32−1+i32−1−i32-11−i321+i32111111−1+i32−1−i32−1+i32−1−i32-11−i321+i32111111−1+i32−1−i32−1+i32−1−i32-11−i321+i32111111−1+i32−1−i32−1+i32−1−i32-11−i321+i32111111−1+i32−1−i32−1+i32−1−i32-11−i321+i32
χ5111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32
χ6111111−1−i32−1+i32−1−i32−1+i32-11+i321−i32111111−1−i32−1+i32−1−i32−1+i32-11+i321−i32111111−1−i32−1+i32−1−i32−1+i32-11+i321−i32111111−1−i32−1+i32−1−i32−1+i32-11+i321−i32111111−1−i32−1+i32−1−i32−1+i32-11+i321−i32
χ7222-1-1-122-1-1000222-1-1-122-1-1000222-1-1-122-1-1000222-1-1-122-1-1000222-1-1-122-1-1000
χ8222-1-1-1−1+i3−1−i31−i321+i32000222-1-1-1−1+i3−1−i31−i321+i32000222-1-1-1−1+i3−1−i31−i321+i32000222-1-1-1−1+i3−1−i31−i321+i32000222-1-1-1−1+i3−1−i31−i321+i32000
χ9222-1-1-1−1−i3−1+i31+i321−i32000222-1-1-1−1−i3−1+i31+i321−i32000222-1-1-1−1−i3−1+i31+i321−i32000222-1-1-1−1−i3−1+i31+i321−i32000222-1-1-1−1−i3−1+i31+i321−i32000
χ1066-3000000000066-3000000000066-3000000000066-3000000000066-30000000000
χ116-3003-300000006-3003-300000006-3003-300000006-3003-300000006-3003-30000000
χ126-303-3000000006-303-3000000006-303-3000000006-303-3000000006-303-300000000
χ136-30-30300000006-30-30300000006-30-30300000006-30-30300000006-30-3030000000
χ14111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ151111111111-1-1-11111111111-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111
χ16111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32-1-1-1-1-1-11−i321+i321−i321+i32-11−i321+i32-1-1-1-1-1-11−i321+i321−i321+i32-11−i321+i32
χ17111111−1+i32−1−i32−1+i32−1−i32-11−i321+i32111111−1+i32−1−i32−1+i32−1−i32-11−i321+i32111111−1+i32−1−i32−1+i32−1−i32-11−i321+i32-1-1-1-1-1-11−i321+i321−i321+i321−1+i32−1−i32-1-1-1-1-1-11−i321+i321−i321+i321−1+i32−1−i32
χ18111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32-1-1-1-1-1-11+i321−i321+i321−i32-11+i321−i32-1-1-1-1-1-11+i321−i321+i321−i32-11+i321−i32
χ19111111−1−i32−1+i32−1−i32−1+i32-11+i321−i32111111−1−i32−1+i32−1−i32−1+i32-11+i321−i32111111−1−i32−1+i32−1−i32−1+i32-11+i321−i32-1-1-1-1-1-11+i321−i321+i321−i321−1−i32−1+i32-1-1-1-1-1-11+i321−i321+i321−i321−1−i32−1+i32
χ20222-1-1-122-1-1000222-1-1-122-1-1000222-1-1-122-1-1000-2-2-2111-2-211000-2-2-2111-2-211000
χ21222-1-1-1−1+i3−1−i31−i321+i32000222-1-1-1−1+i3−1−i31−i321+i32000222-1-1-1−1+i3−1−i31−i321+i32000-2-2-21111−i31+i3−1+i32−1−i32000-2-2-21111−i31+i3−1+i32−1−i32000
χ22222-1-1-1−1−i3−1+i31+i321−i32000222-1-1-1−1−i3−1+i31+i321−i32000222-1-1-1−1−i3−1+i31+i321−i32000-2-2-21111+i31−i3−1−i32−1+i32000-2-2-21111+i31−i3−1−i32−1+i32000
χ2366-3000000000066-3000000000066-30000000000-6-630000000000-6-630000000000
χ246-3003-300000006-3003-300000006-3003-30000000-6300-330000000-6300-330000000
χ256-303-3000000006-303-3000000006-303-300000000-630-3300000000-630-3300000000
χ266-30-30300000006-30-30300000006-30-3030000000-63030-30000000-63030-30000000
χ2711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ281111111111-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ29111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32-1-1-1-1-1-11−i321+i321−i321+i32-11−i321+i32111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32-1-1-1-1-1-11−i321+i321−i321+i32-11−i321+i32
χ30111111−1+i32−1−i32−1+i32−1−i32-11−i321+i32111111−1+i32−1−i32−1+i32−1−i32-11−i321+i32-1-1-1-1-1-11−i321+i321−i321+i321−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32-11−i321+i32-1-1-1-1-1-11−i321+i321−i321+i321−1+i32−1−i32
χ31111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32-1-1-1-1-1-11+i321−i321+i321−i32-11+i321−i32111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32-1-1-1-1-1-11+i321−i321+i321−i32-11+i321−i32
χ32111111−1−i32−1+i32−1−i32−1+i32-11+i321−i32111111−1−i32−1+i32−1−i32−1+i32-11+i321−i32-1-1-1-1-1-11+i321−i321+i321−i321−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32-11+i321−i32-1-1-1-1-1-11+i321−i321+i321−i321−1−i32−1+i32
χ33222-1-1-122-1-1000222-1-1-122-1-1000-2-2-2111-2-211000222-1-1-122-1-1000-2-2-2111-2-211000
χ34222-1-1-1−1+i3−1−i31−i321+i32000222-1-1-1−1+i3−1−i31−i321+i32000-2-2-21111−i31+i3−1+i32−1−i32000222-1-1-1−1+i3−1−i31−i321+i32000-2-2-21111−i31+i3−1+i32−1−i32000
χ35222-1-1-1−1−i3−1+i31+i321−i32000222-1-1-1−1−i3−1+i31+i321−i32000-2-2-21111+i31−i3−1−i32−1+i32000222-1-1-1−1−i3−1+i31+i321−i32000-2-2-21111+i31−i3−1−i32−1+i32000
χ3666-3000000000066-30000000000-6-63000000000066-30000000000-6-630000000000
χ376-3003-300000006-3003-30000000-6300-3300000006-3003-30000000-6300-330000000
χ386-303-3000000006-303-300000000-630-33000000006-303-300000000-630-3300000000
χ396-30-30300000006-30-3030000000-63030-300000006-30-3030000000-63030-30000000
χ4011111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111
χ411111111111-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1
χ42111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32-1-1-1-1-1-11−i321+i321−i321+i32-11−i321+i32-1-1-1-1-1-11−i321+i321−i321+i32-11−i321+i32111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32
χ43111111−1+i32−1−i32−1+i32−1−i32-11−i321+i32111111−1+i32−1−i32−1+i32−1−i32-11−i321+i32-1-1-1-1-1-11−i321+i321−i321+i321−1+i32−1−i32-1-1-1-1-1-11−i321+i321−i321+i321−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32-11−i321+i32
χ44111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32-1-1-1-1-1-11+i321−i321+i321−i32-11+i321−i32-1-1-1-1-1-11+i321−i321+i321−i32-11+i321−i32111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32
χ45111111−1−i32−1+i32−1−i32−1+i32-11+i321−i32111111−1−i32−1+i32−1−i32−1+i32-11+i321−i32-1-1-1-1-1-11+i321−i321+i321−i321−1−i32−1+i32-1-1-1-1-1-11+i321−i321+i321−i321−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32-11+i321−i32
χ46222-1-1-122-1-1000222-1-1-122-1-1000-2-2-2111-2-211000-2-2-2111-2-211000222-1-1-122-1-1000
χ47222-1-1-1−1+i3−1−i31−i321+i32000222-1-1-1−1+i3−1−i31−i321+i32000-2-2-21111−i31+i3−1+i32−1−i32000-2-2-21111−i31+i3−1+i32−1−i32000222-1-1-1−1+i3−1−i31−i321+i32000
χ48222-1-1-1−1−i3−1+i31+i321−i32000222-1-1-1−1−i3−1+i31+i321−i32000-2-2-21111+i31−i3−1−i32−1+i32000-2-2-21111+i31−i3−1−i32−1+i32000222-1-1-1−1−i3−1+i31+i321−i32000
χ4966-3000000000066-30000000000-6-630000000000-6-63000000000066-30000000000
χ506-3003-300000006-3003-30000000-6300-330000000-6300-3300000006-3003-30000000
χ516-303-3000000006-303-300000000-630-3300000000-630-33000000006-303-300000000
χ526-30-30300000006-30-3030000000-63030-30000000-63030-300000006-30-3030000000
χ532222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000
χ542222222222-2-2-2-2-2-2-2-2-2-2-2-2-2222000000000000000000000000000000000000000
χ55222222−1+i3−1−i3−1+i3−1−i32−1+i3−1−i3-2-2-2-2-2-21−i31+i31−i31+i3-21−i31+i3000000000000000000000000000000000000000
χ56222222−1+i3−1−i3−1+i3−1−i3-21−i31+i3-2-2-2-2-2-21−i31+i31−i31+i32−1+i3−1−i3000000000000000000000000000000000000000
χ57222222−1−i3−1+i3−1−i3−1+i32−1−i3−1+i3-2-2-2-2-2-21+i31−i31+i31−i3-21+i31−i3000000000000000000000000000000000000000
χ58222222−1−i3−1+i3−1−i3−1+i3-21+i31−i3-2-2-2-2-2-21+i31−i31+i31−i32−1−i3−1+i3000000000000000000000000000000000000000
χ59444-2-2-244-2-2000-4-4-4222-4-422000000000000000000000000000000000000000000
χ60444-2-2-2−2+2i3−2−2i31−i31+i3000-4-4-42222−2i32+2i3−1+i3−1−i3000000000000000000000000000000000000000000
χ61444-2-2-2−2−2i3−2+2i31+i31−i3000-4-4-42222+2i32−2i3−1−i3−1+i3000000000000000000000000000000000000000000
χ621212-60000000000-12-1260000000000000000000000000000000000000000000000000
χ6312-6006-60000000-12600-660000000000000000000000000000000000000000000000
χ6412-606-600000000-1260-6600000000000000000000000000000000000000000000000
χ6512-60-6060000000-126060-60000000000000000000000000000000000000000000000

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