Finite Group Databasebeta

← Group #72224526

Character table — Group #72224526

Order 2916.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size12222244446666666666661212121212121212121212121827363636363636363636363636365454545454545454545454545481162162162162243486
order133333333333333333333333333333333332333333333333366666666666662666626
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1
χ411111111111111111111111111111111111-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ52222222222222222222222222222222222-10-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000002-1
χ62222222222222222222222222222222222-10-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-21
χ72222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1202222-1-1-1-1-1-1-1-1-1000000000000022-1-1-100
χ82222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1202222-1-1-1-1-1-1-1-1-10000000000000-2-211100
χ92222222222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-10000000
χ102222222222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-12-22-1-1-1222-1-1-1-1-1-1-2-2-2-21111111110000000
χ1122-1-1-122-1-1-1222-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-122-12-1-12-1-122-1-1-1-12-1-1-1222-1-1-1-1-1-10000000
χ1222-1-1-122-1-1-1222-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-12-2-12-1-12-1-122-1-1-1-1-2111-2-2-21111110000000
χ1322-1-1-122-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-1222-1-1-122-1-12-12-1-1-1-122-1-12-1-1-1-1-1-1222-1-1-10000000
χ1422-1-1-122-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-1222-1-1-12-2-1-12-12-1-1-1-122-1-1-2111111-2-2-21110000000
χ1522-1-1-122-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-122222-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-12220000000
χ1622-1-1-122-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-12222-2-1-1-122-1-1-1-1-1-122-2111111111-2-2-20000000
χ174444444444444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20-2-2-2-211111111100000000000000000000
χ184444444444-2-2-2-2-2-2-2-2-2444444-2-2-2-2-2-2-2-2-2-20-2111-2-2-211111100000000000000000000
χ194444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111404-2-2-2-2-2-211111100000000000000000000
χ204444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111-20-2111111−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32−1−3i3200000000000000000000
χ214444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111-20-2111111−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32−1+3i3200000000000000000000
χ2244-2-2-244-2-2-2444-2-2-2-2-2-2444-2-2-2444-2-2-2-2-2-2-201-211-211-2-2111100000000000000000000
χ2344-2-2-244-2-2-2444-2-2-2-2-2-2-2-2-2111-2-2-211111140-24-2-2-211-2-2111100000000000000000000
χ2444-2-2-244-2-2-2444-2-2-2-2-2-2-2-2-2111-2-2-2111111-201-2111−1+3i32−1−3i3211−1+3i32−1−3i32−1−3i32−1+3i3200000000000000000000
χ2544-2-2-244-2-2-2444-2-2-2-2-2-2-2-2-2111-2-2-2111111-201-2111−1−3i32−1+3i3211−1−3i32−1+3i32−1+3i32−1−3i3200000000000000000000
χ2644-2-2-244-2-2-2-2-2-2444-2-2-2444-2-2-2-2-2-2444-2-2-2-2011-21-21111-2-21100000000000000000000
χ2744-2-2-244-2-2-2-2-2-2444-2-2-2-2-2-2111111-2-2-211140-2-24-2-21111-2-21100000000000000000000
χ2844-2-2-244-2-2-2-2-2-2444-2-2-2-2-2-2111111-2-2-2111-2011-211−1+3i32−1−3i32−1−3i32−1+3i3211−1+3i32−1−3i3200000000000000000000
χ2944-2-2-244-2-2-2-2-2-2444-2-2-2-2-2-2111111-2-2-2111-2011-211−1−3i32−1+3i32−1+3i32−1−3i3211−1−3i32−1+3i3200000000000000000000
χ3044-2-2-244-2-2-2-2-2-2-2-2-2444444-2-2-2-2-2-2-2-2-2444-20111-2-2111111-2-200000000000000000000
χ3144-2-2-244-2-2-2-2-2-2-2-2-2444-2-2-2111111111-2-2-240-2-2-24-2111111-2-200000000000000000000
χ3244-2-2-244-2-2-2-2-2-2-2-2-2444-2-2-2111111111-2-2-2-20111-21−1+3i32−1−3i32−1+3i32−1−3i32−1−3i32−1+3i321100000000000000000000
χ3344-2-2-244-2-2-2-2-2-2-2-2-2444-2-2-2111111111-2-2-2-20111-21−1−3i32−1+3i32−1−3i32−1+3i32−1+3i32−1−3i321100000000000000000000
χ3466666-3-3-3-3-30000000006-3-36-3-300000000000000000000000000000000000002-12-1-100
χ3566666-3-3-3-3-30000000006-3-36-3-30000000000000000000000000000000000000-21-21100
χ3666666-3-3-3-3-3000000000-36-3-36-300000000000000000000000000000000000002-1-12-100
χ3766666-3-3-3-3-3000000000-36-3-36-30000000000000000000000000000000000000-211-2100
χ3866666-3-3-3-3-3000000000-3-36-3-3600000000000000000000000000000000000002-1-1-1200
χ3966666-3-3-3-3-3000000000-3-36-3-360000000000000000000000000000000000000-2111-200
χ406-36-3-36-36-3-36-3-36-3-36-3-3000000000000000020000000000000-12-1-12-1-12-1-12-1-10000000
χ416-36-3-36-36-3-36-3-36-3-36-3-30000000000000000-200000000000001-211-211-211-2110000000
χ426-36-3-36-36-3-3-36-3-36-3-36-3000000000000000020000000000000-12-1-1-12-1-12-1-12-10000000
χ436-36-3-36-36-3-3-36-3-36-3-36-30000000000000000-200000000000001-2111-211-211-210000000
χ446-36-3-36-36-3-3-3-36-3-36-3-36000000000000000020000000000000-12-1-1-1-12-1-12-1-120000000
χ456-36-3-36-36-3-3-3-36-3-36-3-360000000000000000-200000000000001-21111-211-211-20000000
χ466-3-36-36-3-36-36-3-3-36-3-3-36000000000000000020000000000000-1-12-12-1-1-12-1-1-120000000
χ476-3-36-36-3-36-36-3-3-36-3-3-360000000000000000-2000000000000011-21-2111-2111-20000000
χ486-3-36-36-3-36-3-36-3-3-366-3-3000000000000000020000000000000-1-12-1-12-1-1-122-1-10000000
χ496-3-36-36-3-36-3-36-3-3-366-3-30000000000000000-2000000000000011-211-2111-2-2110000000
χ506-3-36-36-3-36-3-3-366-3-3-36-3000000000000000020000000000000-1-12-1-1-122-1-1-12-10000000
χ516-3-36-36-3-36-3-3-366-3-3-36-30000000000000000-2000000000000011-2111-2-2111-210000000
χ526-3-3-366-3-3-366-3-3-3-36-36-3000000000000000020000000000000-1-1-122-1-1-1-12-12-10000000
χ536-3-3-366-3-3-366-3-3-3-36-36-30000000000000000-20000000000000111-2-21111-21-210000000
χ546-3-3-366-3-3-36-36-36-3-3-3-36000000000000000020000000000000-1-1-12-12-12-1-1-1-120000000
χ556-3-3-366-3-3-36-36-36-3-3-3-360000000000000000-20000000000000111-21-21-21111-20000000
χ566-3-3-366-3-3-36-3-36-36-36-3-3000000000000000020000000000000-1-1-12-1-12-12-12-1-10000000
χ576-3-3-366-3-3-36-3-36-36-36-3-30000000000000000-20000000000000111-211-21-21-2110000000
χ581212-6-6-6-6-633300000000012-6-6-63300000000000000000000000000000000000000000000
χ591212-6-6-6-6-6333000000000-612-63-6300000000000000000000000000000000000000000000
χ601212-6-6-6-6-6333000000000-6-61233-600000000000000000000000000000000000000000000
χ6112-612-6-6-63-6330000000000000006-3-36-3-36-3-300000000000000000000000000000000000
χ6212-612-6-6-63-633000000000000000-36-3-36-3-36-300000000000000000000000000000000000
χ6312-612-6-6-63-633000000000000000-3-36-3-36-3-3600000000000000000000000000000000000
χ6412-6-612-6-633-630000000000000006-3-3-36-3-3-3600000000000000000000000000000000000
χ6512-6-612-6-633-63000000000000000-36-3-3-366-3-300000000000000000000000000000000000
χ6612-6-612-6-633-63000000000000000-3-366-3-3-36-300000000000000000000000000000000000
χ6712-6-6-612-6333-60000000000000006-3-3-3-36-36-300000000000000000000000000000000000
χ6812-6-6-612-6333-6000000000000000-36-36-3-3-3-3600000000000000000000000000000000000
χ6912-6-6-612-6333-6000000000000000-3-36-36-36-3-300000000000000000000000000000000000

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