Finite Group Databasebeta

← Group #13049306

Character table — Group #13049306

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size12222366666666666666661212242424242424242427811081081222236666666666666666121224242424242424242781108108
order133332333666666666666633333333332266266662666666666666666666666666662266
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1
χ31111111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1−i321111111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1−i32
χ41111111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-11−i321+i321111111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-11−i321+i32
χ51111111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1+i321111111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1+i32
χ61111111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-11+i321−i321111111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-11+i321−i32
χ7222222-1-1-12222-1-1-1-1-1-1-1-1-1222-1-1-12-1-1-10000222222-1-1-12222-1-1-1-1-1-1-1-1-1222-1-1-12-1-1-10000
χ8222222-1-1-12222-1-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i31−i321−i321−i32−1−i31+i321+i321+i320000222222-1-1-12222-1-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i31−i321−i321−i32−1−i31+i321+i321+i320000
χ9222222-1-1-12222-1-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i31+i321+i321+i32−1+i31−i321−i321−i320000222222-1-1-12222-1-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i31+i321+i321+i32−1+i31−i321−i321−i320000
χ1022-1-1-122-1-12-1-1-1222-1-1-1-1-1-122-12-1-1-12-1-1000022-1-1-122-1-12-1-1-1222-1-1-1-1-1-122-12-1-1-12-1-10000
χ1122-1-1-122-1-12-1-1-1222-1-1-1-1-1-1−1+i3−1−i31−i32−1+i31−i321−i321+i32−1−i31+i321+i32000022-1-1-122-1-12-1-1-1222-1-1-1-1-1-1−1+i3−1−i31−i32−1+i31−i321−i321+i32−1−i31+i321+i320000
χ1222-1-1-122-1-12-1-1-1222-1-1-1-1-1-1−1−i3−1+i31+i32−1−i31+i321+i321−i32−1+i31−i321−i32000022-1-1-122-1-12-1-1-1222-1-1-1-1-1-1−1−i3−1+i31+i32−1−i31+i321+i321−i32−1+i31−i321−i320000
χ1322-1-1-12-12-12-1-1-1-1-1-1222-1-1-122-1-12-1-1-12-1000022-1-1-12-12-12-1-1-1-1-1-1222-1-1-122-1-12-1-1-12-10000
χ1422-1-1-12-12-12-1-1-1-1-1-1222-1-1-1−1+i3−1−i31−i321−i32−1+i31−i321+i321+i32−1−i31+i32000022-1-1-12-12-12-1-1-1-1-1-1222-1-1-1−1+i3−1−i31−i321−i32−1+i31−i321+i321+i32−1−i31+i320000
χ1522-1-1-12-12-12-1-1-1-1-1-1222-1-1-1−1−i3−1+i31+i321+i32−1−i31+i321−i321−i32−1+i31−i32000022-1-1-12-12-12-1-1-1-1-1-1222-1-1-1−1−i3−1+i31+i321+i32−1−i31+i321−i321−i32−1+i31−i320000
χ1622-1-1-12-1-122-1-1-1-1-1-1-1-1-122222-1-1-12-1-1-12000022-1-1-12-1-122-1-1-1-1-1-1-1-1-122222-1-1-12-1-1-120000
χ1722-1-1-12-1-122-1-1-1-1-1-1-1-1-1222−1+i3−1−i31−i321−i321−i32−1+i31+i321+i321+i32−1−i3000022-1-1-12-1-122-1-1-1-1-1-1-1-1-1222−1+i3−1−i31−i321−i321−i32−1+i31+i321+i321+i32−1−i30000
χ1822-1-1-12-1-122-1-1-1-1-1-1-1-1-1222−1−i3−1+i31+i321+i321+i32−1−i31−i321−i321−i32−1+i3000022-1-1-12-1-122-1-1-1-1-1-1-1-1-1222−1−i3−1+i31+i321+i321+i32−1−i31−i321−i321−i32−1+i30000
χ1933333-1333-1-1-1-1-1-1-1-1-1-1-1-1-100000000003-10033333-1333-1-1-1-1-1-1-1-1-1-1-1-1-100000000003-100
χ2033333-1333-1-1-1-1-1-1-1-1-1-1-1-1-10000000000-310033333-1333-1-1-1-1-1-1-1-1-1-1-1-1-10000000000-3100
χ2166666-2-3-3-3-2-2-2-21111111110000000000000066666-2-3-3-3-2-2-2-211111111100000000000000
χ2266-3-3-3-26-3-3-2111-2-2-21111110000000000000066-3-3-3-26-3-3-2111-2-2-211111100000000000000
χ2366-3-3-3-2-36-3-2111111-2-2-21110000000000000066-3-3-3-2-36-3-2111111-2-2-211100000000000000
χ2466-3-3-3-2-3-36-2111111111-2-2-20000000000000066-3-3-3-2-3-36-2111111111-2-2-200000000000000
χ256-36-3-36000-36-3-3000000000000000000000006-36-3-36000-36-3-300000000000000000000000
χ266-36-3-3-20001-2114-2-24-2-24-2-2000000000000006-36-3-3-20001-2114-2-24-2-24-2-200000000000000
χ276-36-3-3-20001-211-24-2-24-2-24-2000000000000006-36-3-3-20001-211-24-2-24-2-24-200000000000000
χ286-36-3-3-20001-211-2-24-2-24-2-24000000000000006-36-3-3-20001-211-2-24-2-24-2-2400000000000000
χ296-3-36-36000-3-36-3000000000000000000000006-3-36-36000-3-36-300000000000000000000000
χ306-3-36-3-200011-214-2-2-24-2-2-24000000000000006-3-36-3-200011-214-2-2-24-2-2-2400000000000000
χ316-3-36-3-200011-21-24-2-2-244-2-2000000000000006-3-36-3-200011-21-24-2-2-244-2-200000000000000
χ326-3-36-3-200011-21-2-244-2-2-24-2000000000000006-3-36-3-200011-21-2-244-2-2-24-200000000000000
χ336-3-3-366000-3-3-36000000000000000000000006-3-3-366000-3-3-3600000000000000000000000
χ346-3-3-36-2000111-24-2-2-2-24-24-2000000000000006-3-3-36-2000111-24-2-2-2-24-24-200000000000000
χ356-3-3-36-2000111-2-24-24-2-2-2-24000000000000006-3-3-36-2000111-2-24-24-2-2-2-2400000000000000
χ366-3-3-36-2000111-2-2-24-24-24-2-2000000000000006-3-3-36-2000111-2-2-24-24-24-2-200000000000000
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
χ3811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ391111111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321−i321−i321−i321+i321+i321+i321+i32-1-11−i321+i32
χ401111111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-11−i321+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1−i32
χ411111111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321+i321+i321+i321−i321−i321−i321−i32-1-11+i321−i32
χ421111111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-11+i321−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1+i32
χ43222222-1-1-12222-1-1-1-1-1-1-1-1-1222-1-1-12-1-1-10000-2-2-2-2-2-2111-2-2-2-2111111111-2-2-2111-21110000
χ44222222-1-1-12222-1-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i31−i321−i321−i32−1−i31+i321+i321+i320000-2-2-2-2-2-2111-2-2-2-21111111111−i31+i31−i3−1+i32−1+i32−1+i321+i3−1−i32−1−i32−1−i320000
χ45222222-1-1-12222-1-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i31+i321+i321+i32−1+i31−i321−i321−i320000-2-2-2-2-2-2111-2-2-2-21111111111+i31−i31+i3−1−i32−1−i32−1−i321−i3−1+i32−1+i32−1+i320000
χ4622-1-1-122-1-12-1-1-1222-1-1-1-1-1-122-12-1-1-12-1-10000-2-2111-2-211-2111-2-2-2111111-2-21-2111-2110000
χ4722-1-1-122-1-12-1-1-1222-1-1-1-1-1-1−1+i3−1−i31−i32−1+i31−i321−i321+i32−1−i31+i321+i320000-2-2111-2-211-2111-2-2-21111111−i31+i3−1+i321−i3−1+i32−1+i32−1−i321+i3−1−i32−1−i320000
χ4822-1-1-122-1-12-1-1-1222-1-1-1-1-1-1−1−i3−1+i31+i32−1−i31+i321+i321−i32−1+i31−i321−i320000-2-2111-2-211-2111-2-2-21111111+i31−i3−1−i321+i3−1−i32−1−i32−1+i321−i3−1+i32−1+i320000
χ4922-1-1-12-12-12-1-1-1-1-1-1222-1-1-122-1-12-1-1-12-10000-2-2111-21-21-2111111-2-2-2111-2-211-2111-210000
χ5022-1-1-12-12-12-1-1-1-1-1-1222-1-1-1−1+i3−1−i31−i321−i32−1+i31−i321+i321+i32−1−i31+i320000-2-2111-21-21-2111111-2-2-21111−i31+i3−1+i32−1+i321−i3−1+i32−1−i32−1−i321+i3−1−i320000
χ5122-1-1-12-12-12-1-1-1-1-1-1222-1-1-1−1−i3−1+i31+i321+i32−1−i31+i321−i321−i32−1+i31−i320000-2-2111-21-21-2111111-2-2-21111+i31−i3−1−i32−1−i321+i3−1−i32−1+i32−1+i321−i3−1+i320000
χ5222-1-1-12-1-122-1-1-1-1-1-1-1-1-122222-1-1-12-1-1-120000-2-2111-211-2-2111111111-2-2-2-2-2111-2111-20000
χ5322-1-1-12-1-122-1-1-1-1-1-1-1-1-1222−1+i3−1−i31−i321−i321−i32−1+i31+i321+i321+i32−1−i30000-2-2111-211-2-2111111111-2-2-21−i31+i3−1+i32−1+i32−1+i321−i3−1−i32−1−i32−1−i321+i30000
χ5422-1-1-12-1-122-1-1-1-1-1-1-1-1-1222−1−i3−1+i31+i321+i321+i32−1−i31−i321−i321−i32−1+i30000-2-2111-211-2-2111111111-2-2-21+i31−i3−1−i32−1−i32−1−i321+i3−1+i32−1+i32−1+i321−i30000
χ5533333-1333-1-1-1-1-1-1-1-1-1-1-1-1-100000000003-100-3-3-3-3-31-3-3-311111111111110000000000-3100
χ5633333-1333-1-1-1-1-1-1-1-1-1-1-1-1-10000000000-3100-3-3-3-3-31-3-3-3111111111111100000000003-100
χ5766666-2-3-3-3-2-2-2-211111111100000000000000-6-6-6-6-623332222-1-1-1-1-1-1-1-1-100000000000000
χ5866-3-3-3-26-3-3-2111-2-2-211111100000000000000-6-63332-6332-1-1-1222-1-1-1-1-1-100000000000000
χ5966-3-3-3-2-36-3-2111111-2-2-211100000000000000-6-633323-632-1-1-1-1-1-1222-1-1-100000000000000
χ6066-3-3-3-2-3-36-2111111111-2-2-200000000000000-6-6333233-62-1-1-1-1-1-1-1-1-122200000000000000
χ616-36-3-36000-36-3-300000000000000000000000-63-633-60003-63300000000000000000000000
χ626-36-3-3-20001-2114-2-24-2-24-2-200000000000000-63-6332000-12-1-1-422-422-42200000000000000
χ636-36-3-3-20001-211-24-2-24-2-24-200000000000000-63-6332000-12-1-12-422-422-4200000000000000
χ646-36-3-3-20001-211-2-24-2-24-2-2400000000000000-63-6332000-12-1-122-422-422-400000000000000
χ656-3-36-36000-3-36-300000000000000000000000-633-63-600033-6300000000000000000000000
χ666-3-36-3-200011-214-2-2-24-2-2-2400000000000000-633-632000-1-12-1-4222-4222-400000000000000
χ676-3-36-3-200011-21-24-2-2-244-2-200000000000000-633-632000-1-12-12-4222-4-42200000000000000
χ686-3-36-3-200011-21-2-244-2-2-24-200000000000000-633-632000-1-12-122-4-4222-4200000000000000
χ696-3-3-366000-3-3-3600000000000000000000000-6333-6-6000333-600000000000000000000000
χ706-3-3-36-2000111-24-2-2-2-24-24-200000000000000-6333-62000-1-1-12-42222-42-4200000000000000
χ716-3-3-36-2000111-2-24-24-2-2-2-2400000000000000-6333-62000-1-1-122-42-42222-400000000000000
χ726-3-3-36-2000111-2-2-24-24-24-2-200000000000000-6333-62000-1-1-1222-42-42-42200000000000000

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