Finite Group Databasebeta

← Group #6333

Character table — Group #6333

Order 216.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size123246369123246369123246369123246369123246369123246369
order132336262336336666336336666262666262666666666666666666
χ1111111111111111111111111111111111111111111111111111111
χ211-111-111-111-111-111-111-111-111-111-111-111-111-111-111-111-111-111-1
χ32-102-102-102-102-102-102-102-102-102-102-102-102-102-102-102-102-102-10
χ4111111-1-1-1111111-1-1-1111111-1-1-1111111-1-1-1111111-1-1-1111111-1-1-1
χ511-111-1-1-1111-111-1-1-1111-111-1-1-1111-111-1-1-1111-111-1-1-1111-111-1-1-11
χ62-102-10-2102-102-10-2102-102-10-2102-102-10-2102-102-10-2102-102-10-210
χ7222-1-1-1000222-1-1-1000222-1-1-1000222-1-1-1000222-1-1-1000222-1-1-1000
χ822-2-1-1100022-2-1-1100022-2-1-1100022-2-1-1100022-2-1-1100022-2-1-11000
χ94-20-2100004-20-2100004-20-2100004-20-2100004-20-2100004-20-210000
χ10111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ1111-111-111-1−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i3211-111-111-1−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32
χ122-102-102-10−1+i31−i320−1+i31−i320−1+i31−i320−1−i31+i320−1−i31+i320−1−i31+i3202-102-102-10−1+i31−i320−1+i31−i320−1+i31−i320−1−i31+i320−1−i31+i320−1−i31+i320
χ13111111-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32111111-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32
χ1411-111-1-1-11−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i3211-111-1-1-11−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32
χ152-102-10-210−1+i31−i320−1+i31−i3201−i3−1+i320−1−i31+i320−1−i31+i3201+i3−1−i3202-102-10-210−1+i31−i320−1+i31−i3201−i3−1+i320−1−i31+i320−1−i31+i3201+i3−1−i320
χ16222-1-1-1000−1+i3−1+i3−1+i31−i321−i321−i32000−1−i3−1−i3−1−i31+i321+i321+i32000222-1-1-1000−1+i3−1+i3−1+i31−i321−i321−i32000−1−i3−1−i3−1−i31+i321+i321+i32000
χ1722-2-1-11000−1+i3−1+i31−i31−i321−i32−1+i32000−1−i3−1−i31+i31+i321+i32−1−i3200022-2-1-11000−1+i3−1+i31−i31−i321−i32−1+i32000−1−i3−1−i31+i31+i321+i32−1−i32000
χ184-20-210000−2+2i31−i301−i3−1+i320000−2−2i31+i301+i3−1−i3200004-20-210000−2+2i31−i301−i3−1+i320000−2−2i31+i301+i3−1−i320000
χ19111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ2011-111-111-1−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i3211-111-111-1−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32
χ212-102-102-10−1−i31+i320−1−i31+i320−1−i31+i320−1+i31−i320−1+i31−i320−1+i31−i3202-102-102-10−1−i31+i320−1−i31+i320−1−i31+i320−1+i31−i320−1+i31−i320−1+i31−i320
χ22111111-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32111111-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32
χ2311-111-1-1-11−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i3211-111-1-1-11−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32
χ242-102-10-210−1−i31+i320−1−i31+i3201+i3−1−i320−1+i31−i320−1+i31−i3201−i3−1+i3202-102-10-210−1−i31+i320−1−i31+i3201+i3−1−i320−1+i31−i320−1+i31−i3201−i3−1+i320
χ25222-1-1-1000−1−i3−1−i3−1−i31+i321+i321+i32000−1+i3−1+i3−1+i31−i321−i321−i32000222-1-1-1000−1−i3−1−i3−1−i31+i321+i321+i32000−1+i3−1+i3−1+i31−i321−i321−i32000
χ2622-2-1-11000−1−i3−1−i31+i31+i321+i32−1−i32000−1+i3−1+i31−i31−i321−i32−1+i3200022-2-1-11000−1−i3−1−i31+i31+i321+i32−1−i32000−1+i3−1+i31−i31−i321−i32−1+i32000
χ274-20-210000−2−2i31+i301+i3−1−i320000−2+2i31−i301−i3−1+i3200004-20-210000−2−2i31+i301+i3−1−i320000−2+2i31−i301−i3−1+i320000
χ28111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2911-111-111-111-111-111-111-111-111-1-1-11-1-11-1-11-1-11-1-11-1-11-1-11-1-11-1-11
χ302-102-102-102-102-102-102-102-102-10-210-210-210-210-210-210-210-210-210
χ31111111-1-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1-1-1111
χ3211-111-1-1-1111-111-1-1-1111-111-1-1-11-1-11-1-1111-1-1-11-1-1111-1-1-11-1-1111-1
χ332-102-10-2102-102-10-2102-102-10-210-210-2102-10-210-2102-10-210-2102-10
χ34222-1-1-1000222-1-1-1000222-1-1-1000-2-2-2111000-2-2-2111000-2-2-2111000
χ3522-2-1-1100022-2-1-1100022-2-1-11000-2-2211-1000-2-2211-1000-2-2211-1000
χ364-20-2100004-20-2100004-20-210000-4202-10000-4202-10000-4202-10000
χ37111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32
χ3811-111-111-1−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32-1-11-1-11-1-111−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32
χ392-102-102-10−1+i31−i320−1+i31−i320−1+i31−i320−1−i31+i320−1−i31+i320−1−i31+i320-210-210-2101−i3−1+i3201−i3−1+i3201−i3−1+i3201+i3−1−i3201+i3−1−i3201+i3−1−i320
χ40111111-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32-1-1-1-1-1-11111−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32
χ4111-111-1-1-11−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32-1-11-1-1111-11−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32
χ422-102-10-210−1+i31−i320−1+i31−i3201−i3−1+i320−1−i31+i320−1−i31+i3201+i3−1−i320-210-2102-101−i3−1+i3201−i3−1+i320−1+i31−i3201+i3−1−i3201+i3−1−i320−1−i31+i320
χ43222-1-1-1000−1+i3−1+i3−1+i31−i321−i321−i32000−1−i3−1−i3−1−i31+i321+i321+i32000-2-2-21110001−i31−i31−i3−1+i32−1+i32−1+i320001+i31+i31+i3−1−i32−1−i32−1−i32000
χ4422-2-1-11000−1+i3−1+i31−i31−i321−i32−1+i32000−1−i3−1−i31+i31+i321+i32−1−i32000-2-2211-10001−i31−i3−1+i3−1+i32−1+i321−i320001+i31+i3−1−i3−1−i32−1−i321+i32000
χ454-20-210000−2+2i31−i301−i3−1+i320000−2−2i31+i301+i3−1−i320000-4202-100002−2i3−1+i30−1+i31−i3200002+2i3−1−i30−1−i31+i320000
χ46111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32
χ4711-111-111-1−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32-1-11-1-11-1-111+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32
χ482-102-102-10−1−i31+i320−1−i31+i320−1−i31+i320−1+i31−i320−1+i31−i320−1+i31−i320-210-210-2101+i3−1−i3201+i3−1−i3201+i3−1−i3201−i3−1+i3201−i3−1+i3201−i3−1+i320
χ49111111-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32-1-1-1-1-1-11111+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32
χ5011-111-1-1-11−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32-1-11-1-1111-11+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32
χ512-102-10-210−1−i31+i320−1−i31+i3201+i3−1−i320−1+i31−i320−1+i31−i3201−i3−1+i320-210-2102-101+i3−1−i3201+i3−1−i320−1−i31+i3201−i3−1+i3201−i3−1+i320−1+i31−i320
χ52222-1-1-1000−1−i3−1−i3−1−i31+i321+i321+i32000−1+i3−1+i3−1+i31−i321−i321−i32000-2-2-21110001+i31+i31+i3−1−i32−1−i32−1−i320001−i31−i31−i3−1+i32−1+i32−1+i32000
χ5322-2-1-11000−1−i3−1−i31+i31+i321+i32−1−i32000−1+i3−1+i31−i31−i321−i32−1+i32000-2-2211-10001+i31+i3−1−i3−1−i32−1−i321+i320001−i31−i3−1+i3−1+i32−1+i321−i32000
χ544-20-210000−2−2i31+i301+i3−1−i320000−2+2i31−i301−i3−1+i320000-4202-100002+2i3−1−i30−1−i31+i3200002−2i3−1+i30−1+i31−i320000

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