Finite Group Databasebeta

← Group #72220502

Character table — Group #72220502

Order 2592.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1222293666627488883648888363666627918181818811224242424108122424242410848888361224242424108163232323214416323232321444888836122424242410816323232321441632323232144
order133332266662333336333336266662266662666666666666333336666666333336333336333336666666333336333336
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111-111111-111111-111111-111111-111111-111111-111111-111111-111111-111111-111111-111111-111111-111111-111111-1
χ322-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-10
χ42-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-10
χ52-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-10
χ62-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-120
χ7111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ811111-111111-1−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i3211111-111111-1−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i3211111-111111-1−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i3211111-111111-1−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32
χ922-1-1-1022-1-1-10−1+i3−1+i31−i321−i321−i320−1−i3−1−i31+i321+i321+i32022-1-1-1022-1-1-10−1+i3−1+i31−i321−i321−i320−1−i3−1−i31+i321+i321+i32022-1-1-1022-1-1-10−1+i3−1+i31−i321−i321−i320−1−i3−1−i31+i321+i321+i32022-1-1-1022-1-1-10−1+i3−1+i31−i321−i321−i320−1−i3−1−i31+i321+i321+i320
χ102-12-1-102-12-1-10−1+i31−i32−1+i31−i321−i320−1−i31+i32−1−i31+i321+i3202-12-1-102-12-1-10−1+i31−i32−1+i31−i321−i320−1−i31+i32−1−i31+i321+i3202-12-1-102-12-1-10−1+i31−i32−1+i31−i321−i320−1−i31+i32−1−i31+i321+i3202-12-1-102-12-1-10−1+i31−i32−1+i31−i321−i320−1−i31+i32−1−i31+i321+i320
χ112-1-12-102-1-12-10−1+i31−i321−i32−1+i31−i320−1−i31+i321+i32−1−i31+i3202-1-12-102-1-12-10−1+i31−i321−i32−1+i31−i320−1−i31+i321+i32−1−i31+i3202-1-12-102-1-12-10−1+i31−i321−i32−1+i31−i320−1−i31+i321+i32−1−i31+i3202-1-12-102-1-12-10−1+i31−i321−i32−1+i31−i320−1−i31+i321+i32−1−i31+i320
χ122-1-1-1202-1-1-120−1+i31−i321−i321−i32−1+i30−1−i31+i321+i321+i32−1−i302-1-1-1202-1-1-120−1+i31−i321−i321−i32−1+i30−1−i31+i321+i321+i32−1−i302-1-1-1202-1-1-120−1+i31−i321−i321−i32−1+i30−1−i31+i321+i321+i32−1−i302-1-1-1202-1-1-120−1+i31−i321−i321−i32−1+i30−1−i31+i321+i321+i32−1−i30
χ13111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ1411111-111111-1−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i3211111-111111-1−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i3211111-111111-1−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i3211111-111111-1−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32
χ1522-1-1-1022-1-1-10−1−i3−1−i31+i321+i321+i320−1+i3−1+i31−i321−i321−i32022-1-1-1022-1-1-10−1−i3−1−i31+i321+i321+i320−1+i3−1+i31−i321−i321−i32022-1-1-1022-1-1-10−1−i3−1−i31+i321+i321+i320−1+i3−1+i31−i321−i321−i32022-1-1-1022-1-1-10−1−i3−1−i31+i321+i321+i320−1+i3−1+i31−i321−i321−i320
χ162-12-1-102-12-1-10−1−i31+i32−1−i31+i321+i320−1+i31−i32−1+i31−i321−i3202-12-1-102-12-1-10−1−i31+i32−1−i31+i321+i320−1+i31−i32−1+i31−i321−i3202-12-1-102-12-1-10−1−i31+i32−1−i31+i321+i320−1+i31−i32−1+i31−i321−i3202-12-1-102-12-1-10−1−i31+i32−1−i31+i321+i320−1+i31−i32−1+i31−i321−i320
χ172-1-12-102-1-12-10−1−i31+i321+i32−1−i31+i320−1+i31−i321−i32−1+i31−i3202-1-12-102-1-12-10−1−i31+i321+i32−1−i31+i320−1+i31−i321−i32−1+i31−i3202-1-12-102-1-12-10−1−i31+i321+i32−1−i31+i320−1+i31−i321−i32−1+i31−i3202-1-12-102-1-12-10−1−i31+i321+i32−1−i31+i320−1+i31−i321−i32−1+i31−i320
χ182-1-1-1202-1-1-120−1−i31+i321+i321+i32−1−i30−1+i31−i321−i321−i32−1+i302-1-1-1202-1-1-120−1−i31+i321+i321+i32−1−i30−1+i31−i321−i321−i32−1+i302-1-1-1202-1-1-120−1−i31+i321+i321+i32−1−i30−1+i31−i321−i321−i32−1+i302-1-1-1202-1-1-120−1−i31+i321+i321+i32−1−i30−1+i31−i321−i321−i32−1+i30
χ19333333-1-1-1-1-1-1000000000000333333-1-1-1-1-1-1000000000000333333-1-1-1-1-1-1000000000000333333-1-1-1-1-1-1000000000000
χ2033333-3-1-1-1-1-1100000000000033333-3-1-1-1-1-1100000000000033333-3-1-1-1-1-1100000000000033333-3-1-1-1-1-11000000000000
χ2166-3-3-30-2-2111000000000000066-3-3-30-2-2111000000000000066-3-3-30-2-2111000000000000066-3-3-30-2-21110000000000000
χ226-36-3-30-21-21100000000000006-36-3-30-21-21100000000000006-36-3-30-21-21100000000000006-36-3-30-21-2110000000000000
χ236-3-36-30-211-2100000000000006-3-36-30-211-2100000000000006-3-36-30-211-2100000000000006-3-36-30-211-210000000000000
χ246-3-3-360-2111-200000000000006-3-3-360-2111-200000000000006-3-3-360-2111-200000000000006-3-3-360-2111-20000000000000
χ25111111111111111111111111111111111111111111111111−1+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+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ2611111-111111-111111-111111-111111-111111-111111-111111-1−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32
χ2722-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-10−1+i3−1+i31−i321−i321−i320−1+i3−1+i31−i321−i321−i320−1+i3−1+i31−i321−i321−i320−1+i3−1+i31−i321−i321−i320−1−i3−1−i31+i321+i321+i320−1−i3−1−i31+i321+i321+i320−1−i3−1−i31+i321+i321+i320−1−i3−1−i31+i321+i321+i320
χ282-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-10−1+i31−i32−1+i31−i321−i320−1+i31−i32−1+i31−i321−i320−1+i31−i32−1+i31−i321−i320−1+i31−i32−1+i31−i321−i320−1−i31+i32−1−i31+i321+i320−1−i31+i32−1−i31+i321+i320−1−i31+i32−1−i31+i321+i320−1−i31+i32−1−i31+i321+i320
χ292-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-10−1+i31−i321−i32−1+i31−i320−1+i31−i321−i32−1+i31−i320−1+i31−i321−i32−1+i31−i320−1+i31−i321−i32−1+i31−i320−1−i31+i321+i32−1−i31+i320−1−i31+i321+i32−1−i31+i320−1−i31+i321+i32−1−i31+i320−1−i31+i321+i32−1−i31+i320
χ302-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-120−1+i31−i321−i321−i32−1+i30−1+i31−i321−i321−i32−1+i30−1+i31−i321−i321−i32−1+i30−1+i31−i321−i321−i32−1+i30−1−i31+i321+i321+i32−1−i30−1−i31+i321+i321+i32−1−i30−1−i31+i321+i321+i32−1−i30−1−i31+i321+i321+i32−1−i30
χ31111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111−1+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ3211111-111111-1−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i3211111-111111-1−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i3211111-1−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i3211111-1−1+i32−1+i32−1+i32−1+i32−1+i321−i32
χ3322-1-1-1022-1-1-10−1+i3−1+i31−i321−i321−i320−1−i3−1−i31+i321+i321+i32022-1-1-1022-1-1-10−1+i3−1+i31−i321−i321−i320−1−i3−1−i31+i321+i321+i320−1+i3−1+i31−i321−i321−i320−1+i3−1+i31−i321−i321−i320−1−i3−1−i31+i321+i321+i32022-1-1-10−1−i3−1−i31+i321+i321+i320−1−i3−1−i31+i321+i321+i32022-1-1-10−1+i3−1+i31−i321−i321−i320
χ342-12-1-102-12-1-10−1+i31−i32−1+i31−i321−i320−1−i31+i32−1−i31+i321+i3202-12-1-102-12-1-10−1+i31−i32−1+i31−i321−i320−1−i31+i32−1−i31+i321+i320−1+i31−i32−1+i31−i321−i320−1+i31−i32−1+i31−i321−i320−1−i31+i32−1−i31+i321+i3202-12-1-10−1−i31+i32−1−i31+i321+i320−1−i31+i32−1−i31+i321+i3202-12-1-10−1+i31−i32−1+i31−i321−i320
χ352-1-12-102-1-12-10−1+i31−i321−i32−1+i31−i320−1−i31+i321+i32−1−i31+i3202-1-12-102-1-12-10−1+i31−i321−i32−1+i31−i320−1−i31+i321+i32−1−i31+i320−1+i31−i321−i32−1+i31−i320−1+i31−i321−i32−1+i31−i320−1−i31+i321+i32−1−i31+i3202-1-12-10−1−i31+i321+i32−1−i31+i320−1−i31+i321+i32−1−i31+i3202-1-12-10−1+i31−i321−i32−1+i31−i320
χ362-1-1-1202-1-1-120−1+i31−i321−i321−i32−1+i30−1−i31+i321+i321+i32−1−i302-1-1-1202-1-1-120−1+i31−i321−i321−i32−1+i30−1−i31+i321+i321+i32−1−i30−1+i31−i321−i321−i32−1+i30−1+i31−i321−i321−i32−1+i30−1−i31+i321+i321+i32−1−i302-1-1-120−1−i31+i321+i321+i32−1−i30−1−i31+i321+i321+i32−1−i302-1-1-120−1+i31−i321−i321−i32−1+i30
χ37111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111111−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111
χ3811111-111111-1−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i3211111-111111-1−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i3211111-1−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i3211111-1
χ3922-1-1-1022-1-1-10−1−i3−1−i31+i321+i321+i320−1+i3−1+i31−i321−i321−i32022-1-1-1022-1-1-10−1−i3−1−i31+i321+i321+i320−1+i3−1+i31−i321−i321−i320−1+i3−1+i31−i321−i321−i320−1+i3−1+i31−i321−i321−i32022-1-1-10−1−i3−1−i31+i321+i321+i320−1−i3−1−i31+i321+i321+i320−1−i3−1−i31+i321+i321+i320−1+i3−1+i31−i321−i321−i32022-1-1-10
χ402-12-1-102-12-1-10−1−i31+i32−1−i31+i321+i320−1+i31−i32−1+i31−i321−i3202-12-1-102-12-1-10−1−i31+i32−1−i31+i321+i320−1+i31−i32−1+i31−i321−i320−1+i31−i32−1+i31−i321−i320−1+i31−i32−1+i31−i321−i3202-12-1-10−1−i31+i32−1−i31+i321+i320−1−i31+i32−1−i31+i321+i320−1−i31+i32−1−i31+i321+i320−1+i31−i32−1+i31−i321−i3202-12-1-10
χ412-1-12-102-1-12-10−1−i31+i321+i32−1−i31+i320−1+i31−i321−i32−1+i31−i3202-1-12-102-1-12-10−1−i31+i321+i32−1−i31+i320−1+i31−i321−i32−1+i31−i320−1+i31−i321−i32−1+i31−i320−1+i31−i321−i32−1+i31−i3202-1-12-10−1−i31+i321+i32−1−i31+i320−1−i31+i321+i32−1−i31+i320−1−i31+i321+i32−1−i31+i320−1+i31−i321−i32−1+i31−i3202-1-12-10
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χ8633333-333333-3−3−3i32−3−3i32−3−3i32−3−3i32−3−3i323+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i323−3i32-1-1-1-1-11-1-1-1-1-111+i321+i321+i321+i321+i32−1−i321−i321−i321−i321−i321−i32−1+i32000000000000000000000000000000000000000000000000
χ8766-3-3-3066-3-3-30−3−3i3−3−3i33+3i323+3i323+3i320−3+3i3−3+3i33−3i323−3i323−3i320-2-21110-2-211101+i31+i3−1−i32−1−i32−1−i3201−i31−i3−1+i32−1+i32−1+i320000000000000000000000000000000000000000000000000
χ886-36-3-306-36-3-30−3−3i33+3i32−3−3i33+3i323+3i320−3+3i33−3i32−3+3i33−3i323−3i320-21-2110-21-21101+i3−1−i321+i3−1−i32−1−i3201−i3−1+i321−i3−1+i32−1+i320000000000000000000000000000000000000000000000000
χ896-3-36-306-3-36-30−3−3i33+3i323+3i32−3−3i33+3i320−3+3i33−3i323−3i32−3+3i33−3i320-211-210-211-2101+i3−1−i32−1−i321+i3−1−i3201−i3−1+i32−1+i321−i3−1+i320000000000000000000000000000000000000000000000000
χ906-3-3-3606-3-3-360−3−3i33+3i323+3i323+3i32−3−3i30−3+3i33−3i323−3i323−3i32−3+3i30-2111-20-2111-201+i3−1−i32−1−i32−1−i321+i301−i3−1+i32−1+i32−1+i321−i30000000000000000000000000000000000000000000000000
χ91999999-3-3-3-3-3-3000000000000-3-3-3-3-3-3111111000000000000000000000000000000000000000000000000000000000000
χ9299999-9-3-3-3-3-33000000000000-3-3-3-3-3311111-1000000000000000000000000000000000000000000000000000000000000
χ931818-9-9-90-6-63330000000000000-6-6333022-1-1-10000000000000000000000000000000000000000000000000000000000000
χ9418-918-9-90-63-6330000000000000-63-63302-12-1-10000000000000000000000000000000000000000000000000000000000000
χ9518-9-918-90-633-630000000000000-633-6302-1-12-10000000000000000000000000000000000000000000000000000000000000
χ9618-9-9-9180-6333-60000000000000-6333-602-1-1-120000000000000000000000000000000000000000000000000000000000000

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