Finite Group Databasebeta

← Group #72246912

Character table — Group #72246912

Order 3024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1122224466666618661212121224243636363636361087714141414282842424242424212677141414142828424242424242126771414141428284242424242421267714141414282842424242424212677141414142828424242424242126
order12336636441212121247142121424221422828848484842822666666441212121243633663612121212121212363366361212121212121266666666121212121212126666666612121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1
χ311111111-11-1-111-111111111-11-1-111-111111111-11-1-111-111111111-11-1-111-111111111-11-1-111-111111111-11-1-111-111111111-11-1-111-1
χ411111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-11
χ5222-12-1-1-10200-1-10222-12-1-1-10200-1-10222-12-1-1-10200-1-10222-12-1-1-10200-1-10222-12-1-1-10200-1-10222-12-1-1-10200-1-10222-12-1-1-10200-1-10
χ6222-12-1-1-10-200110222-12-1-1-10-200110222-12-1-1-10-200110222-12-1-1-10-200110222-12-1-1-10-200110222-12-1-1-10-200110222-12-1-1-10-200110
χ722-12-12-1-120-1-100022-12-12-1-120-1-100022-12-12-1-120-1-100022-12-12-1-120-1-100022-12-12-1-120-1-100022-12-12-1-120-1-100022-12-12-1-120-1-1000
χ822-12-12-1-1-201100022-12-12-1-1-201100022-12-12-1-1-201100022-12-12-1-1-201100022-12-12-1-1-201100022-12-12-1-1-201100022-12-12-1-1-2011000
χ92-222-2-22-200000002-222-2-22-200000002-222-2-22-200000002-222-2-22-200000002-222-2-22-200000002-222-2-22-200000002-222-2-22-20000000
χ102-22-1-21-1100003−302-22-1-21-1100003−302-22-1-21-1100003−302-22-1-21-1100003−302-22-1-21-1100003−302-22-1-21-1100003−302-22-1-21-1100003−30
χ112-22-1-21-110000−3302-22-1-21-110000−3302-22-1-21-110000−3302-22-1-21-110000−3302-22-1-21-110000−3302-22-1-21-110000−3302-22-1-21-110000−330
χ122-2-121-2-11003−30002-2-121-2-11003−30002-2-121-2-11003−30002-2-121-2-11003−30002-2-121-2-11003−30002-2-121-2-11003−30002-2-121-2-11003−3000
χ132-2-121-2-1100−330002-2-121-2-1100−330002-2-121-2-1100−330002-2-121-2-1100−330002-2-121-2-1100−330002-2-121-2-1100−330002-2-121-2-1100−33000
χ1444-2-2-2-211000000044-2-2-2-211000000044-2-2-2-211000000044-2-2-2-211000000044-2-2-2-211000000044-2-2-2-211000000044-2-2-2-2110000000
χ154-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-10000000
χ16111111111111111111111111111111111111111111111−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ17111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32
χ1811111111-11-1-111-111111111-11-1-111-111111111-11-1-111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32
χ1911111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32
χ20222-12-1-1-10200-1-10222-12-1-1-10200-1-10222-12-1-1-10200-1-10−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i320−1+i3001−i321−i320−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i320−1−i3001+i321+i320−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i320−1+i3001−i321−i320−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i320−1−i3001+i321+i320
χ21222-12-1-1-10-200110222-12-1-1-10-200110222-12-1-1-10-200110−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i3201−i300−1+i32−1+i320−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i3201+i300−1−i32−1−i320−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i3201−i300−1+i32−1+i320−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i3201+i300−1−i32−1−i320
χ2222-12-12-1-120-1-100022-12-12-1-120-1-100022-12-12-1-120-1-1000−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i32−1+i301−i321−i32000−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i32−1−i301+i321+i32000−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i32−1+i301−i321−i32000−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i32−1−i301+i321+i32000
χ2322-12-12-1-1-201100022-12-12-1-1-201100022-12-12-1-1-2011000−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i30−1+i32−1+i32000−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i30−1−i32−1−i32000−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i30−1+i32−1+i32000−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i30−1−i32−1−i32000
χ242-222-2-22-200000002-222-2-22-200000002-222-2-22-20000000−1+i31−i3−1+i3−1+i31−i31−i3−1+i31−i30000000−1−i31+i3−1−i3−1−i31+i31+i3−1−i31+i30000000−1+i31−i3−1+i3−1+i31−i31−i3−1+i31−i30000000−1−i31+i3−1−i3−1−i31+i31+i3−1−i31+i30000000
χ252-22-1-21-1100003−302-22-1-21-1100003−302-22-1-21-1100003−30−1+i31−i3−1+i31−i321−i3−1+i321−i32−1+i320000−ζ7−2ζ11ζ7+2ζ110−1−i31+i3−1−i31+i321+i3−1−i321+i32−1−i3200002ζ7+ζ11−2ζ7−ζ110−1+i31−i3−1+i31−i321−i3−1+i321−i32−1+i320000−ζ7−2ζ11ζ7+2ζ110−1−i31+i3−1−i31+i321+i3−1−i321+i32−1−i3200002ζ7+ζ11−2ζ7−ζ110
χ262-22-1-21-110000−3302-22-1-21-110000−3302-22-1-21-110000−330−1+i31−i3−1+i31−i321−i3−1+i321−i32−1+i320000ζ7+2ζ11−ζ7−2ζ110−1−i31+i3−1−i31+i321+i3−1−i321+i32−1−i320000−2ζ7−ζ112ζ7+ζ110−1+i31−i3−1+i31−i321−i3−1+i321−i32−1+i320000ζ7+2ζ11−ζ7−2ζ110−1−i31+i3−1−i31+i321+i3−1−i321+i32−1−i320000−2ζ7−ζ112ζ7+ζ110
χ272-2-121-2-11003−30002-2-121-2-11003−30002-2-121-2-11003−3000−1+i31−i31−i32−1+i3−1+i321−i31−i32−1+i3200−ζ7−2ζ11ζ7+2ζ11000−1−i31+i31+i32−1−i3−1−i321+i31+i32−1−i32002ζ7+ζ11−2ζ7−ζ11000−1+i31−i31−i32−1+i3−1+i321−i31−i32−1+i3200−ζ7−2ζ11ζ7+2ζ11000−1−i31+i31+i32−1−i3−1−i321+i31+i32−1−i32002ζ7+ζ11−2ζ7−ζ11000
χ282-2-121-2-1100−330002-2-121-2-1100−330002-2-121-2-1100−33000−1+i31−i31−i32−1+i3−1+i321−i31−i32−1+i3200ζ7+2ζ11−ζ7−2ζ11000−1−i31+i31+i32−1−i3−1−i321+i31+i32−1−i3200−2ζ7−ζ112ζ7+ζ11000−1+i31−i31−i32−1+i3−1+i321−i31−i32−1+i3200ζ7+2ζ11−ζ7−2ζ11000−1−i31+i31+i32−1−i3−1−i321+i31+i32−1−i3200−2ζ7−ζ112ζ7+ζ11000
χ2944-2-2-2-211000000044-2-2-2-211000000044-2-2-2-2110000000−2+2i3−2+2i31−i31−i31−i31−i3−1+i32−1+i320000000−2−2i3−2−2i31+i31+i31+i31+i3−1−i32−1−i320000000−2+2i3−2+2i31−i31−i31−i31−i3−1+i32−1+i320000000−2−2i3−2−2i31+i31+i31+i31+i3−1−i32−1−i320000000
χ304-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-10000000−2+2i32−2i31−i31−i3−1+i3−1+i3−1+i321−i320000000−2−2i32+2i31+i31+i3−1−i3−1−i3−1−i321+i320000000−2+2i32−2i31−i31−i3−1+i3−1+i3−1+i321−i320000000−2−2i32+2i31+i31+i3−1−i3−1−i3−1−i321+i320000000
χ31111111111111111111111111111111111111111111111−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ32111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32
χ3311111111-11-1-111-111111111-11-1-111-111111111-11-1-111-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32
χ3411111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32
χ35222-12-1-1-10200-1-10222-12-1-1-10200-1-10222-12-1-1-10200-1-10−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i320−1−i3001+i321+i320−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i320−1+i3001−i321−i320−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i320−1−i3001+i321+i320−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i320−1+i3001−i321−i320
χ36222-12-1-1-10-200110222-12-1-1-10-200110222-12-1-1-10-200110−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i3201+i300−1−i32−1−i320−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i3201−i300−1+i32−1+i320−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i3201+i300−1−i32−1−i320−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i3201−i300−1+i32−1+i320
χ3722-12-12-1-120-1-100022-12-12-1-120-1-100022-12-12-1-120-1-1000−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i32−1−i301+i321+i32000−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i32−1+i301−i321−i32000−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i32−1−i301+i321+i32000−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i32−1+i301−i321−i32000
χ3822-12-12-1-1-201100022-12-12-1-1-201100022-12-12-1-1-2011000−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i30−1−i32−1−i32000−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i30−1+i32−1+i32000−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i30−1−i32−1−i32000−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i30−1+i32−1+i32000
χ392-222-2-22-200000002-222-2-22-200000002-222-2-22-20000000−1−i31+i3−1−i3−1−i31+i31+i3−1−i31+i30000000−1+i31−i3−1+i3−1+i31−i31−i3−1+i31−i30000000−1−i31+i3−1−i3−1−i31+i31+i3−1−i31+i30000000−1+i31−i3−1+i3−1+i31−i31−i3−1+i31−i30000000
χ402-22-1-21-1100003−302-22-1-21-1100003−302-22-1-21-1100003−30−1−i31+i3−1−i31+i321+i3−1−i321+i32−1−i3200002ζ7+ζ11−2ζ7−ζ110−1+i31−i3−1+i31−i321−i3−1+i321−i32−1+i320000−ζ7−2ζ11ζ7+2ζ110−1−i31+i3−1−i31+i321+i3−1−i321+i32−1−i3200002ζ7+ζ11−2ζ7−ζ110−1+i31−i3−1+i31−i321−i3−1+i321−i32−1+i320000−ζ7−2ζ11ζ7+2ζ110
χ412-22-1-21-110000−3302-22-1-21-110000−3302-22-1-21-110000−330−1−i31+i3−1−i31+i321+i3−1−i321+i32−1−i320000−2ζ7−ζ112ζ7+ζ110−1+i31−i3−1+i31−i321−i3−1+i321−i32−1+i320000ζ7+2ζ11−ζ7−2ζ110−1−i31+i3−1−i31+i321+i3−1−i321+i32−1−i320000−2ζ7−ζ112ζ7+ζ110−1+i31−i3−1+i31−i321−i3−1+i321−i32−1+i320000ζ7+2ζ11−ζ7−2ζ110
χ422-2-121-2-11003−30002-2-121-2-11003−30002-2-121-2-11003−3000−1−i31+i31+i32−1−i3−1−i321+i31+i32−1−i32002ζ7+ζ11−2ζ7−ζ11000−1+i31−i31−i32−1+i3−1+i321−i31−i32−1+i3200−ζ7−2ζ11ζ7+2ζ11000−1−i31+i31+i32−1−i3−1−i321+i31+i32−1−i32002ζ7+ζ11−2ζ7−ζ11000−1+i31−i31−i32−1+i3−1+i321−i31−i32−1+i3200−ζ7−2ζ11ζ7+2ζ11000
χ432-2-121-2-1100−330002-2-121-2-1100−330002-2-121-2-1100−33000−1−i31+i31+i32−1−i3−1−i321+i31+i32−1−i3200−2ζ7−ζ112ζ7+ζ11000−1+i31−i31−i32−1+i3−1+i321−i31−i32−1+i3200ζ7+2ζ11−ζ7−2ζ11000−1−i31+i31+i32−1−i3−1−i321+i31+i32−1−i3200−2ζ7−ζ112ζ7+ζ11000−1+i31−i31−i32−1+i3−1+i321−i31−i32−1+i3200ζ7+2ζ11−ζ7−2ζ11000
χ4444-2-2-2-211000000044-2-2-2-211000000044-2-2-2-2110000000−2−2i3−2−2i31+i31+i31+i31+i3−1−i32−1−i320000000−2+2i3−2+2i31−i31−i31−i31−i3−1+i32−1+i320000000−2−2i3−2−2i31+i31+i31+i31+i3−1−i32−1−i320000000−2+2i3−2+2i31−i31−i31−i31−i3−1+i32−1+i320000000
χ454-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-10000000−2−2i32+2i31+i31+i3−1−i3−1−i3−1−i321+i320000000−2+2i32−2i31−i31−i3−1+i3−1+i3−1+i321−i320000000−2−2i32+2i31+i31+i3−1−i3−1−i3−1−i321+i320000000−2+2i32−2i31−i31−i3−1+i3−1+i3−1+i321−i320000000
χ46111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ47111111111-111-1-1-1111111111-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111111111-111-1-1-1111111111-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-11-1-1111
χ4811111111-11-1-111-111111111-11-1-111-1-1-1-1-1-1-1-1-11-111-1-1111111111-11-1-111-111111111-11-1-111-1-1-1-1-1-1-1-1-11-111-1-11-1-1-1-1-1-1-1-11-111-1-11
χ4911111111-1-1-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-111111111-1-1-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111111-1
χ50222-12-1-1-10200-1-10222-12-1-1-10200-1-10-2-2-21-21110-200110222-12-1-1-10200-1-10222-12-1-1-10200-1-10-2-2-21-21110-200110-2-2-21-21110-200110
χ51222-12-1-1-10-200110222-12-1-1-10-200110-2-2-21-21110200-1-10222-12-1-1-10-200110222-12-1-1-10-200110-2-2-21-21110200-1-10-2-2-21-21110200-1-10
χ5222-12-12-1-120-1-100022-12-12-1-120-1-1000-2-21-21-211-201100022-12-12-1-120-1-100022-12-12-1-120-1-1000-2-21-21-211-2011000-2-21-21-211-2011000
χ5322-12-12-1-1-201100022-12-12-1-1-2011000-2-21-21-21120-1-100022-12-12-1-1-201100022-12-12-1-1-2011000-2-21-21-21120-1-1000-2-21-21-21120-1-1000
χ542-222-2-22-200000002-222-2-22-20000000-22-2-222-2200000002-222-2-22-200000002-222-2-22-20000000-22-2-222-220000000-22-2-222-220000000
χ552-22-1-21-1100003−302-22-1-21-1100003−30-22-212-11-10000−3302-22-1-21-1100003−302-22-1-21-1100003−30-22-212-11-10000−330-22-212-11-10000−330
χ562-22-1-21-110000−3302-22-1-21-110000−330-22-212-11-100003−302-22-1-21-110000−3302-22-1-21-110000−330-22-212-11-100003−30-22-212-11-100003−30
χ572-2-121-2-11003−30002-2-121-2-11003−3000-221-2-121-100−330002-2-121-2-11003−30002-2-121-2-11003−3000-221-2-121-100−33000-221-2-121-100−33000
χ582-2-121-2-1100−330002-2-121-2-1100−33000-221-2-121-1003−30002-2-121-2-1100−330002-2-121-2-1100−33000-221-2-121-1003−3000-221-2-121-1003−3000
χ5944-2-2-2-211000000044-2-2-2-2110000000-4-42222-1-1000000044-2-2-2-211000000044-2-2-2-2110000000-4-42222-1-10000000-4-42222-1-10000000
χ604-4-2-2221-100000004-4-2-2221-10000000-4422-2-2-1100000004-4-2-2221-100000004-4-2-2221-10000000-4422-2-2-110000000-4422-2-2-110000000
χ61111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+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−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32
χ62111111111-111-1-1-1111111111-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32
χ6311111111-11-1-111-111111111-11-1-111-1-1-1-1-1-1-1-1-11-111-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32
χ6411111111-1-1-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32
χ65222-12-1-1-10200-1-10222-12-1-1-10200-1-10-2-2-21-21110-200110−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i320−1+i3001−i321−i320−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i320−1−i3001+i321+i3201−i31−i31−i3−1+i321−i3−1+i32−1+i32−1+i3201−i300−1+i32−1+i3201+i31+i31+i3−1−i321+i3−1−i32−1−i32−1−i3201+i300−1−i32−1−i320
χ66222-12-1-1-10-200110222-12-1-1-10-200110-2-2-21-21110200-1-10−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i3201−i300−1+i32−1+i320−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i3201+i300−1−i32−1−i3201−i31−i31−i3−1+i321−i3−1+i32−1+i32−1+i320−1+i3001−i321−i3201+i31+i31+i3−1−i321+i3−1−i32−1−i32−1−i320−1−i3001+i321+i320
χ6722-12-12-1-120-1-100022-12-12-1-120-1-1000-2-21-21-211-2011000−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i32−1+i301−i321−i32000−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i32−1−i301+i321+i320001−i31−i3−1+i321−i3−1+i321−i3−1+i32−1+i321−i30−1+i32−1+i320001+i31+i3−1−i321+i3−1−i321+i3−1−i32−1−i321+i30−1−i32−1−i32000
χ6822-12-12-1-1-201100022-12-12-1-1-2011000-2-21-21-21120-1-1000−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i30−1+i32−1+i32000−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i30−1−i32−1−i320001−i31−i3−1+i321−i3−1+i321−i3−1+i32−1+i32−1+i301−i321−i320001+i31+i3−1−i321+i3−1−i321+i3−1−i32−1−i32−1−i301+i321+i32000
χ692-222-2-22-200000002-222-2-22-20000000-22-2-222-220000000−1+i31−i3−1+i3−1+i31−i31−i3−1+i31−i30000000−1−i31+i3−1−i3−1−i31+i31+i3−1−i31+i300000001−i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i300000001+i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i30000000
χ702-22-1-21-1100003−302-22-1-21-1100003−30-22-212-11-10000−330−1+i31−i3−1+i31−i321−i3−1+i321−i32−1+i320000−ζ7−2ζ11ζ7+2ζ110−1−i31+i3−1−i31+i321+i3−1−i321+i32−1−i3200002ζ7+ζ11−2ζ7−ζ1101−i3−1+i31−i3−1+i32−1+i31−i32−1+i321−i320000ζ7+2ζ11−ζ7−2ζ1101+i3−1−i31+i3−1−i32−1−i31+i32−1−i321+i320000−2ζ7−ζ112ζ7+ζ110
χ712-22-1-21-110000−3302-22-1-21-110000−330-22-212-11-100003−30−1+i31−i3−1+i31−i321−i3−1+i321−i32−1+i320000ζ7+2ζ11−ζ7−2ζ110−1−i31+i3−1−i31+i321+i3−1−i321+i32−1−i320000−2ζ7−ζ112ζ7+ζ1101−i3−1+i31−i3−1+i32−1+i31−i32−1+i321−i320000−ζ7−2ζ11ζ7+2ζ1101+i3−1−i31+i3−1−i32−1−i31+i32−1−i321+i3200002ζ7+ζ11−2ζ7−ζ110
χ722-2-121-2-11003−30002-2-121-2-11003−3000-221-2-121-100−33000−1+i31−i31−i32−1+i3−1+i321−i31−i32−1+i3200−ζ7−2ζ11ζ7+2ζ11000−1−i31+i31+i32−1−i3−1−i321+i31+i32−1−i32002ζ7+ζ11−2ζ7−ζ110001−i3−1+i3−1+i321−i31−i32−1+i3−1+i321−i3200ζ7+2ζ11−ζ7−2ζ110001+i3−1−i3−1−i321+i31+i32−1−i3−1−i321+i3200−2ζ7−ζ112ζ7+ζ11000
χ732-2-121-2-1100−330002-2-121-2-1100−33000-221-2-121-1003−3000−1+i31−i31−i32−1+i3−1+i321−i31−i32−1+i3200ζ7+2ζ11−ζ7−2ζ11000−1−i31+i31+i32−1−i3−1−i321+i31+i32−1−i3200−2ζ7−ζ112ζ7+ζ110001−i3−1+i3−1+i321−i31−i32−1+i3−1+i321−i3200−ζ7−2ζ11ζ7+2ζ110001+i3−1−i3−1−i321+i31+i32−1−i3−1−i321+i32002ζ7+ζ11−2ζ7−ζ11000
χ7444-2-2-2-211000000044-2-2-2-2110000000-4-42222-1-10000000−2+2i3−2+2i31−i31−i31−i31−i3−1+i32−1+i320000000−2−2i3−2−2i31+i31+i31+i31+i3−1−i32−1−i3200000002−2i32−2i3−1+i3−1+i3−1+i3−1+i31−i321−i3200000002+2i32+2i3−1−i3−1−i3−1−i3−1−i31+i321+i320000000
χ754-4-2-2221-100000004-4-2-2221-10000000-4422-2-2-110000000−2+2i32−2i31−i31−i3−1+i3−1+i3−1+i321−i320000000−2−2i32+2i31+i31+i3−1−i3−1−i3−1−i321+i3200000002−2i3−2+2i3−1+i3−1+i31−i31−i31−i32−1+i3200000002+2i3−2−2i3−1−i3−1−i31+i31+i31+i32−1−i320000000
χ76111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−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+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32
χ77111111111-111-1-1-1111111111-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32
χ7811111111-11-1-111-111111111-11-1-111-1-1-1-1-1-1-1-1-11-111-1-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32
χ7911111111-1-1-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32
χ80222-12-1-1-10200-1-10222-12-1-1-10200-1-10-2-2-21-21110-200110−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i320−1−i3001+i321+i320−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i320−1+i3001−i321−i3201+i31+i31+i3−1−i321+i3−1−i32−1−i32−1−i3201+i300−1−i32−1−i3201−i31−i31−i3−1+i321−i3−1+i32−1+i32−1+i3201−i300−1+i32−1+i320
χ81222-12-1-1-10-200110222-12-1-1-10-200110-2-2-21-21110200-1-10−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i3201+i300−1−i32−1−i320−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i3201−i300−1+i32−1+i3201+i31+i31+i3−1−i321+i3−1−i32−1−i32−1−i320−1−i3001+i321+i3201−i31−i31−i3−1+i321−i3−1+i32−1+i32−1+i320−1+i3001−i321−i320
χ8222-12-12-1-120-1-100022-12-12-1-120-1-1000-2-21-21-211-2011000−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i32−1−i301+i321+i32000−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i32−1+i301−i321−i320001+i31+i3−1−i321+i3−1−i321+i3−1−i32−1−i321+i30−1−i32−1−i320001−i31−i3−1+i321−i3−1+i321−i3−1+i32−1+i321−i30−1+i32−1+i32000
χ8322-12-12-1-1-201100022-12-12-1-1-2011000-2-21-21-21120-1-1000−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i30−1−i32−1−i32000−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i30−1+i32−1+i320001+i31+i3−1−i321+i3−1−i321+i3−1−i32−1−i32−1−i301+i321+i320001−i31−i3−1+i321−i3−1+i321−i3−1+i32−1+i32−1+i301−i321−i32000
χ842-222-2-22-200000002-222-2-22-20000000-22-2-222-220000000−1−i31+i3−1−i3−1−i31+i31+i3−1−i31+i30000000−1+i31−i3−1+i3−1+i31−i31−i3−1+i31−i300000001+i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i300000001−i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i30000000
χ852-22-1-21-1100003−302-22-1-21-1100003−30-22-212-11-10000−330−1−i31+i3−1−i31+i321+i3−1−i321+i32−1−i3200002ζ7+ζ11−2ζ7−ζ110−1+i31−i3−1+i31−i321−i3−1+i321−i32−1+i320000−ζ7−2ζ11ζ7+2ζ1101+i3−1−i31+i3−1−i32−1−i31+i32−1−i321+i320000−2ζ7−ζ112ζ7+ζ1101−i3−1+i31−i3−1+i32−1+i31−i32−1+i321−i320000ζ7+2ζ11−ζ7−2ζ110
χ862-22-1-21-110000−3302-22-1-21-110000−330-22-212-11-100003−30−1−i31+i3−1−i31+i321+i3−1−i321+i32−1−i320000−2ζ7−ζ112ζ7+ζ110−1+i31−i3−1+i31−i321−i3−1+i321−i32−1+i320000ζ7+2ζ11−ζ7−2ζ1101+i3−1−i31+i3−1−i32−1−i31+i32−1−i321+i3200002ζ7+ζ11−2ζ7−ζ1101−i3−1+i31−i3−1+i32−1+i31−i32−1+i321−i320000−ζ7−2ζ11ζ7+2ζ110
χ872-2-121-2-11003−30002-2-121-2-11003−3000-221-2-121-100−33000−1−i31+i31+i32−1−i3−1−i321+i31+i32−1−i32002ζ7+ζ11−2ζ7−ζ11000−1+i31−i31−i32−1+i3−1+i321−i31−i32−1+i3200−ζ7−2ζ11ζ7+2ζ110001+i3−1−i3−1−i321+i31+i32−1−i3−1−i321+i3200−2ζ7−ζ112ζ7+ζ110001−i3−1+i3−1+i321−i31−i32−1+i3−1+i321−i3200ζ7+2ζ11−ζ7−2ζ11000
χ882-2-121-2-1100−330002-2-121-2-1100−33000-221-2-121-1003−3000−1−i31+i31+i32−1−i3−1−i321+i31+i32−1−i3200−2ζ7−ζ112ζ7+ζ11000−1+i31−i31−i32−1+i3−1+i321−i31−i32−1+i3200ζ7+2ζ11−ζ7−2ζ110001+i3−1−i3−1−i321+i31+i32−1−i3−1−i321+i32002ζ7+ζ11−2ζ7−ζ110001−i3−1+i3−1+i321−i31−i32−1+i3−1+i321−i3200−ζ7−2ζ11ζ7+2ζ11000
χ8944-2-2-2-211000000044-2-2-2-2110000000-4-42222-1-10000000−2−2i3−2−2i31+i31+i31+i31+i3−1−i32−1−i320000000−2+2i3−2+2i31−i31−i31−i31−i3−1+i32−1+i3200000002+2i32+2i3−1−i3−1−i3−1−i3−1−i31+i321+i3200000002−2i32−2i3−1+i3−1+i3−1+i3−1+i31−i321−i320000000
χ904-4-2-2221-100000004-4-2-2221-10000000-4422-2-2-110000000−2−2i32+2i31+i31+i3−1−i3−1−i3−1−i321+i320000000−2+2i32−2i31−i31−i3−1+i3−1+i3−1+i321−i3200000002+2i3−2−2i3−1−i3−1−i31+i31+i31+i32−1−i3200000002−2i3−2+2i3−1+i3−1+i31−i31−i31−i32−1+i320000000
χ91666666666666666-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000000000000000000000000000000
χ92666666666-666-6-6-6-1-1-1-1-1-1-1-1-11-1-1111000000000000000000000000000000000000000000000000000000000000000000000000000
χ9366666666-66-6-666-6-1-1-1-1-1-1-1-11-111-1-11000000000000000000000000000000000000000000000000000000000000000000000000000
χ9466666666-6-6-6-6-6-66-1-1-1-1-1-1-1-1111111-1000000000000000000000000000000000000000000000000000000000000000000000000000
χ95121212-612-6-6-601200-6-60-2-2-21-21110-200110000000000000000000000000000000000000000000000000000000000000000000000000000
χ96121212-612-6-6-60-1200660-2-2-21-21110200-1-10000000000000000000000000000000000000000000000000000000000000000000000000000
χ971212-612-612-6-6120-6-6000-2-21-21-211-2011000000000000000000000000000000000000000000000000000000000000000000000000000000
χ981212-612-612-6-6-12066000-2-21-21-21120-1-1000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9912-121212-12-1212-120000000-22-2-222-220000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10012-1212-6-126-66000063−630-22-212-11-10000−330000000000000000000000000000000000000000000000000000000000000000000000000000
χ10112-1212-6-126-660000−63630-22-212-11-100003−30000000000000000000000000000000000000000000000000000000000000000000000000000
χ10212-12-6126-12-660063−63000-221-2-121-100−33000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10312-12-6126-12-6600−6363000-221-2-121-1003−3000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1042424-12-12-12-12660000000-4-42222-1-10000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10524-24-12-1212126-60000000-4422-2-2-110000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.