Finite Group Databasebeta

← Group #72243353

Character table — Group #72243353

Order 2916.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size1222233666666666662727272444466121212121212121212121254545424444661212121212121212121212545454244446612121212121212121212125454542444466121212121212121212121254545491818181827275454545454545454545454243243243
order13999333339999999926633999333339999999966699999999999999999918181899999999999999999918181899999999999999999918181826181818666661818181818181818266
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111-1-1-1111111111111111111-1-1-1111111111111111111-1-1-1111111111111111111-1-1-1111111111111111111-1-1-1111111111111111111-1-1-1
χ311111−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i3211111−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i3211111−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i3211111−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i3211111−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i3211111−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i32
χ411111−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-11−i321+i3211111−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-11−i321+i3211111−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-11−i321+i3211111−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-11−i321+i3211111−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-11−i321+i3211111−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-11−i321+i32
χ511111−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i3211111−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i3211111−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i3211111−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i3211111−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i3211111−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i32
χ611111−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-11+i321−i3211111−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-11+i321−i3211111−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-11+i321−i3211111−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-11+i321−i3211111−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-11+i321−i3211111−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-11+i321−i32
χ72222222-1-1-1-1-12-1-12-1-10002222222-1-1-1-1-12-1-12-1-10002222222-1-1-1-1-12-1-12-1-10002222222-1-1-1-1-12-1-12-1-10002222222-1-1-1-1-12-1-12-1-10002222222-1-1-1-1-12-1-12-1-1000
χ822222−1+i3−1−i3-11−i321+i32-1-1−1+i31−i321−i32−1−i31+i321+i3200022222−1+i3−1−i3-11−i321+i32-1-1−1+i31−i321−i32−1−i31+i321+i3200022222−1+i3−1−i3-11−i321+i32-1-1−1+i31−i321−i32−1−i31+i321+i3200022222−1+i3−1−i3-11−i321+i32-1-1−1+i31−i321−i32−1−i31+i321+i3200022222−1+i3−1−i3-11−i321+i32-1-1−1+i31−i321−i32−1−i31+i321+i3200022222−1+i3−1−i3-11−i321+i32-1-1−1+i31−i321−i32−1−i31+i321+i32000
χ922222−1−i3−1+i3-11+i321−i32-1-1−1−i31+i321+i32−1+i31−i321−i3200022222−1−i3−1+i3-11+i321−i32-1-1−1−i31+i321+i32−1+i31−i321−i3200022222−1−i3−1+i3-11+i321−i32-1-1−1−i31+i321+i32−1+i31−i321−i3200022222−1−i3−1+i3-11+i321−i32-1-1−1−i31+i321+i32−1+i31−i321−i3200022222−1−i3−1+i3-11+i321−i32-1-1−1−i31+i321+i32−1+i31−i321−i3200022222−1−i3−1+i3-11+i321−i32-1-1−1−i31+i321+i32−1+i31−i321−i32000
χ1022-1-1-122222-1-1-1-1-1-1-1-100022-1-1-122222-1-1-1-1-1-1-1-100022-1-1-122222-1-1-1-1-1-1-1-100022-1-1-122222-1-1-1-1-1-1-1-100022-1-1-122222-1-1-1-1-1-1-1-100022-1-1-122222-1-1-1-1-1-1-1-1000
χ1122-1-1-122-1-1-12-1-12-1-12-100022-1-1-122-1-1-12-1-12-1-12-100022-1-1-122-1-1-12-1-12-1-12-100022-1-1-122-1-1-12-1-12-1-12-100022-1-1-122-1-1-12-1-12-1-12-100022-1-1-122-1-1-12-1-12-1-12-1000
χ1222-1-1-122-1-1-1-12-1-12-1-1200022-1-1-122-1-1-1-12-1-12-1-1200022-1-1-122-1-1-1-12-1-12-1-1200022-1-1-122-1-1-1-12-1-12-1-1200022-1-1-122-1-1-1-12-1-12-1-1200022-1-1-122-1-1-1-12-1-12-1-12000
χ1322-1-1-1−1+i3−1−i32−1+i3−1−i3-1-11−i321−i321−i321+i321+i321+i3200022-1-1-1−1+i3−1−i32−1+i3−1−i3-1-11−i321−i321−i321+i321+i321+i3200022-1-1-1−1+i3−1−i32−1+i3−1−i3-1-11−i321−i321−i321+i321+i321+i3200022-1-1-1−1+i3−1−i32−1+i3−1−i3-1-11−i321−i321−i321+i321+i321+i3200022-1-1-1−1+i3−1−i32−1+i3−1−i3-1-11−i321−i321−i321+i321+i321+i3200022-1-1-1−1+i3−1−i32−1+i3−1−i3-1-11−i321−i321−i321+i321+i321+i32000
χ1422-1-1-1−1+i3−1−i3-11−i321+i322-11−i32−1+i31−i321+i32−1−i31+i3200022-1-1-1−1+i3−1−i3-11−i321+i322-11−i32−1+i31−i321+i32−1−i31+i3200022-1-1-1−1+i3−1−i3-11−i321+i322-11−i32−1+i31−i321+i32−1−i31+i3200022-1-1-1−1+i3−1−i3-11−i321+i322-11−i32−1+i31−i321+i32−1−i31+i3200022-1-1-1−1+i3−1−i3-11−i321+i322-11−i32−1+i31−i321+i32−1−i31+i3200022-1-1-1−1+i3−1−i3-11−i321+i322-11−i32−1+i31−i321+i32−1−i31+i32000
χ1522-1-1-1−1+i3−1−i3-11−i321+i32-121−i321−i32−1+i31+i321+i32−1−i300022-1-1-1−1+i3−1−i3-11−i321+i32-121−i321−i32−1+i31+i321+i32−1−i300022-1-1-1−1+i3−1−i3-11−i321+i32-121−i321−i32−1+i31+i321+i32−1−i300022-1-1-1−1+i3−1−i3-11−i321+i32-121−i321−i32−1+i31+i321+i32−1−i300022-1-1-1−1+i3−1−i3-11−i321+i32-121−i321−i32−1+i31+i321+i32−1−i300022-1-1-1−1+i3−1−i3-11−i321+i32-121−i321−i32−1+i31+i321+i32−1−i3000
χ1622-1-1-1−1−i3−1+i32−1−i3−1+i3-1-11+i321+i321+i321−i321−i321−i3200022-1-1-1−1−i3−1+i32−1−i3−1+i3-1-11+i321+i321+i321−i321−i321−i3200022-1-1-1−1−i3−1+i32−1−i3−1+i3-1-11+i321+i321+i321−i321−i321−i3200022-1-1-1−1−i3−1+i32−1−i3−1+i3-1-11+i321+i321+i321−i321−i321−i3200022-1-1-1−1−i3−1+i32−1−i3−1+i3-1-11+i321+i321+i321−i321−i321−i3200022-1-1-1−1−i3−1+i32−1−i3−1+i3-1-11+i321+i321+i321−i321−i321−i32000
χ1722-1-1-1−1−i3−1+i3-11+i321−i322-11+i32−1−i31+i321−i32−1+i31−i3200022-1-1-1−1−i3−1+i3-11+i321−i322-11+i32−1−i31+i321−i32−1+i31−i3200022-1-1-1−1−i3−1+i3-11+i321−i322-11+i32−1−i31+i321−i32−1+i31−i3200022-1-1-1−1−i3−1+i3-11+i321−i322-11+i32−1−i31+i321−i32−1+i31−i3200022-1-1-1−1−i3−1+i3-11+i321−i322-11+i32−1−i31+i321−i32−1+i31−i3200022-1-1-1−1−i3−1+i3-11+i321−i322-11+i32−1−i31+i321−i32−1+i31−i32000
χ1822-1-1-1−1−i3−1+i3-11+i321−i32-121+i321+i32−1−i31−i321−i32−1+i300022-1-1-1−1−i3−1+i3-11+i321−i32-121+i321+i32−1−i31−i321−i32−1+i300022-1-1-1−1−i3−1+i3-11+i321−i32-121+i321+i32−1−i31−i321−i32−1+i300022-1-1-1−1−i3−1+i3-11+i321−i32-121+i321+i32−1−i31−i321−i32−1+i300022-1-1-1−1−i3−1+i3-11+i321−i32-121+i321+i32−1−i31−i321−i32−1+i300022-1-1-1−1−i3−1+i3-11+i321−i32-121+i321+i32−1−i31−i321−i32−1+i3000
χ196-33ζ+3ζ83ζ2+3ζ73ζ4+3ζ500000000000000006-33ζ+3ζ83ζ2+3ζ73ζ4+3ζ500000000000000006-33ζ+3ζ83ζ2+3ζ73ζ4+3ζ500000000000000006-33ζ+3ζ83ζ2+3ζ73ζ4+3ζ500000000000000006-33ζ+3ζ83ζ2+3ζ73ζ4+3ζ500000000000000006-33ζ+3ζ83ζ2+3ζ73ζ4+3ζ50000000000000000
χ206-33ζ2+3ζ73ζ4+3ζ53ζ+3ζ800000000000000006-33ζ2+3ζ73ζ4+3ζ53ζ+3ζ800000000000000006-33ζ2+3ζ73ζ4+3ζ53ζ+3ζ800000000000000006-33ζ2+3ζ73ζ4+3ζ53ζ+3ζ800000000000000006-33ζ2+3ζ73ζ4+3ζ53ζ+3ζ800000000000000006-33ζ2+3ζ73ζ4+3ζ53ζ+3ζ80000000000000000
χ216-33ζ4+3ζ53ζ+3ζ83ζ2+3ζ700000000000000006-33ζ4+3ζ53ζ+3ζ83ζ2+3ζ700000000000000006-33ζ4+3ζ53ζ+3ζ83ζ2+3ζ700000000000000006-33ζ4+3ζ53ζ+3ζ83ζ2+3ζ700000000000000006-33ζ4+3ζ53ζ+3ζ83ζ2+3ζ700000000000000006-33ζ4+3ζ53ζ+3ζ83ζ2+3ζ70000000000000000
χ22111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ23111111111111111111-1-1-1111111111111111111-1-1-1111111111111111111-1-1-1111111111111111111-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ2411111−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i3211111−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i3211111−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i3211111−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i3211111−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i32-1-1-1-1-11−i321+i32-11−i321+i32-1-11−i321−i321−i321+i321+i321+i32-11−i321+i32
χ2511111−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-11−i321+i3211111−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-11−i321+i3211111−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-11−i321+i3211111−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-11−i321+i3211111−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-11−i321+i32-1-1-1-1-11−i321+i32-11−i321+i32-1-11−i321−i321−i321+i321+i321+i321−1+i32−1−i32
χ2611111−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i3211111−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i3211111−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i3211111−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i3211111−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i32-1-1-1-1-11+i321−i32-11+i321−i32-1-11+i321+i321+i321−i321−i321−i32-11+i321−i32
χ2711111−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-11+i321−i3211111−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-11+i321−i3211111−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-11+i321−i3211111−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-11+i321−i3211111−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-11+i321−i32-1-1-1-1-11+i321−i32-11+i321−i32-1-11+i321+i321+i321−i321−i321−i321−1−i32−1+i32
χ282222222-1-1-1-1-12-1-12-1-10002222222-1-1-1-1-12-1-12-1-10002222222-1-1-1-1-12-1-12-1-10002222222-1-1-1-1-12-1-12-1-10002222222-1-1-1-1-12-1-12-1-1000-2-2-2-2-2-2-211111-211-211000
χ2922222−1+i3−1−i3-11−i321+i32-1-1−1+i31−i321−i32−1−i31+i321+i3200022222−1+i3−1−i3-11−i321+i32-1-1−1+i31−i321−i32−1−i31+i321+i3200022222−1+i3−1−i3-11−i321+i32-1-1−1+i31−i321−i32−1−i31+i321+i3200022222−1+i3−1−i3-11−i321+i32-1-1−1+i31−i321−i32−1−i31+i321+i3200022222−1+i3−1−i3-11−i321+i32-1-1−1+i31−i321−i32−1−i31+i321+i32000-2-2-2-2-21−i31+i31−1+i32−1−i32111−i3−1+i32−1+i321+i3−1−i32−1−i32000
χ3022222−1−i3−1+i3-11+i321−i32-1-1−1−i31+i321+i32−1+i31−i321−i3200022222−1−i3−1+i3-11+i321−i32-1-1−1−i31+i321+i32−1+i31−i321−i3200022222−1−i3−1+i3-11+i321−i32-1-1−1−i31+i321+i32−1+i31−i321−i3200022222−1−i3−1+i3-11+i321−i32-1-1−1−i31+i321+i32−1+i31−i321−i3200022222−1−i3−1+i3-11+i321−i32-1-1−1−i31+i321+i32−1+i31−i321−i32000-2-2-2-2-21+i31−i31−1−i32−1+i32111+i3−1−i32−1−i321−i3−1+i32−1+i32000
χ3122-1-1-122222-1-1-1-1-1-1-1-100022-1-1-122222-1-1-1-1-1-1-1-100022-1-1-122222-1-1-1-1-1-1-1-100022-1-1-122222-1-1-1-1-1-1-1-100022-1-1-122222-1-1-1-1-1-1-1-1000-2-2111-2-2-2-2-211111111000
χ3222-1-1-122-1-1-12-1-12-1-12-100022-1-1-122-1-1-12-1-12-1-12-100022-1-1-122-1-1-12-1-12-1-12-100022-1-1-122-1-1-12-1-12-1-12-100022-1-1-122-1-1-12-1-12-1-12-1000-2-2111-2-2111-211-211-21000
χ3322-1-1-122-1-1-1-12-1-12-1-1200022-1-1-122-1-1-1-12-1-12-1-1200022-1-1-122-1-1-1-12-1-12-1-1200022-1-1-122-1-1-1-12-1-12-1-1200022-1-1-122-1-1-1-12-1-12-1-12000-2-2111-2-21111-211-211-2000
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χ11122222−1−i3−1+i32−1−i3−1+i322−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-21+i31−i3-1-1-1-1-11+i321−i32-11+i321−i32-1-11+i321+i321+i321−i321−i321−i321−1−i32−1+i32ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ2ζ7+ζ8ζ4+ζ5ζ+ζ2ζ7+ζ8ζ4+ζ5ζ4+ζ5ζ+ζ2ζ+ζ2ζ+ζ2ζ7+ζ8ζ7+ζ8ζ7+ζ8−ζ4−ζ5−ζ−ζ2−ζ7−ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ5+ζ7ζ2+ζ4ζ+ζ8ζ5+ζ7ζ2+ζ4ζ+ζ8ζ+ζ8ζ5+ζ7ζ5+ζ7ζ5+ζ7ζ2+ζ4ζ2+ζ4ζ2+ζ4−ζ−ζ8−ζ5−ζ7−ζ2−ζ4ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ8ζ+ζ5ζ2+ζ7ζ4+ζ8ζ+ζ5ζ2+ζ7ζ2+ζ7ζ4+ζ8ζ4+ζ8ζ4+ζ8ζ+ζ5ζ+ζ5ζ+ζ5−ζ2−ζ7−ζ4−ζ8−ζ−ζ5000000000000000000000
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χ12044-2-2-2−2+2i3−2−2i3-21−i31+i3-241−i31−i3−2+2i31+i31+i3−2−2i3000-2-21111−i31+i31−1+i32−1−i321-2−1+i32−1+i321−i3−1−i32−1−i321+i30002ζ4+2ζ52ζ4+2ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ52ζ7+2ζ82ζ+2ζ2−ζ4−ζ5−ζ7−ζ8−ζ−ζ2−ζ4−ζ52ζ4+2ζ5−ζ7−ζ8−ζ7−ζ82ζ7+2ζ8−ζ−ζ2−ζ−ζ22ζ+2ζ20002ζ+2ζ82ζ+2ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ82ζ2+2ζ42ζ5+2ζ7−ζ−ζ8−ζ2−ζ4−ζ5−ζ7−ζ−ζ82ζ+2ζ8−ζ2−ζ4−ζ2−ζ42ζ2+2ζ4−ζ5−ζ7−ζ5−ζ72ζ5+2ζ70002ζ2+2ζ72ζ2+2ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ72ζ+2ζ52ζ4+2ζ8−ζ2−ζ7−ζ−ζ5−ζ4−ζ8−ζ2−ζ72ζ2+2ζ7−ζ−ζ5−ζ−ζ52ζ+2ζ5−ζ4−ζ8−ζ4−ζ82ζ4+2ζ8000000000000000000000000
χ12144-2-2-2−2−2i3−2+2i34−2−2i3−2+2i3-2-21+i31+i31+i31−i31−i31−i3000-2-21111+i31−i3-21+i31−i311−1−i32−1−i32−1−i32−1+i32−1+i32−1+i320002ζ4+2ζ52ζ4+2ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ52ζ+2ζ22ζ7+2ζ82ζ4+2ζ52ζ+2ζ22ζ7+2ζ8−ζ4−ζ5−ζ4−ζ5−ζ−ζ2−ζ−ζ2−ζ−ζ2−ζ7−ζ8−ζ7−ζ8−ζ7−ζ80002ζ+2ζ82ζ+2ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ82ζ5+2ζ72ζ2+2ζ42ζ+2ζ82ζ5+2ζ72ζ2+2ζ4−ζ−ζ8−ζ−ζ8−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7−ζ2−ζ4−ζ2−ζ4−ζ2−ζ40002ζ2+2ζ72ζ2+2ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ72ζ4+2ζ82ζ+2ζ52ζ2+2ζ72ζ4+2ζ82ζ+2ζ5−ζ2−ζ7−ζ2−ζ7−ζ4−ζ8−ζ4−ζ8−ζ4−ζ8−ζ−ζ5−ζ−ζ5−ζ−ζ5000000000000000000000000
χ12244-2-2-2−2−2i3−2+2i3-21+i31−i34-21+i3−2−2i31+i31−i3−2+2i31−i3000-2-21111+i31−i31−1−i32−1+i32-21−1−i321+i3−1−i32−1+i321−i3−1+i320002ζ4+2ζ52ζ4+2ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ52ζ+2ζ22ζ7+2ζ8−ζ4−ζ5−ζ−ζ2−ζ7−ζ82ζ4+2ζ5−ζ4−ζ5−ζ−ζ22ζ+2ζ2−ζ−ζ2−ζ7−ζ82ζ7+2ζ8−ζ7−ζ80002ζ+2ζ82ζ+2ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ82ζ5+2ζ72ζ2+2ζ4−ζ−ζ8−ζ5−ζ7−ζ2−ζ42ζ+2ζ8−ζ−ζ8−ζ5−ζ72ζ5+2ζ7−ζ5−ζ7−ζ2−ζ42ζ2+2ζ4−ζ2−ζ40002ζ2+2ζ72ζ2+2ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ72ζ4+2ζ82ζ+2ζ5−ζ2−ζ7−ζ4−ζ8−ζ−ζ52ζ2+2ζ7−ζ2−ζ7−ζ4−ζ82ζ4+2ζ8−ζ4−ζ8−ζ−ζ52ζ+2ζ5−ζ−ζ5000000000000000000000000
χ12344-2-2-2−2−2i3−2+2i3-21+i31−i3-241+i31+i3−2−2i31−i31−i3−2+2i3000-2-21111+i31−i31−1−i32−1+i321-2−1−i32−1−i321+i3−1+i32−1+i321−i30002ζ4+2ζ52ζ4+2ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ52ζ+2ζ22ζ7+2ζ8−ζ4−ζ5−ζ−ζ2−ζ7−ζ8−ζ4−ζ52ζ4+2ζ5−ζ−ζ2−ζ−ζ22ζ+2ζ2−ζ7−ζ8−ζ7−ζ82ζ7+2ζ80002ζ+2ζ82ζ+2ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ82ζ5+2ζ72ζ2+2ζ4−ζ−ζ8−ζ5−ζ7−ζ2−ζ4−ζ−ζ82ζ+2ζ8−ζ5−ζ7−ζ5−ζ72ζ5+2ζ7−ζ2−ζ4−ζ2−ζ42ζ2+2ζ40002ζ2+2ζ72ζ2+2ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ72ζ4+2ζ82ζ+2ζ5−ζ2−ζ7−ζ4−ζ8−ζ−ζ5−ζ2−ζ72ζ2+2ζ7−ζ4−ζ8−ζ4−ζ82ζ4+2ζ8−ζ−ζ5−ζ−ζ52ζ+2ζ5000000000000000000000000
χ12412-66ζ+6ζ86ζ2+6ζ76ζ4+6ζ50000000000000000-63−3ζ−3ζ8−3ζ2−3ζ7−3ζ4−3ζ500000000000000006ζ4+6ζ5−3ζ4−3ζ5−3+3ζ4+3ζ5−3+3ζ2+3ζ76+3ζ+3ζ800000000000000006ζ+6ζ8−3ζ−3ζ86+3ζ2+3ζ7−3+3ζ+3ζ8−3+3ζ4+3ζ500000000000000006ζ2+6ζ7−3ζ2−3ζ7−3+3ζ+3ζ86+3ζ4+3ζ5−3+3ζ2+3ζ70000000000000000000000000000000000000
χ12512-66ζ2+6ζ76ζ4+6ζ56ζ+6ζ80000000000000000-63−3ζ2−3ζ7−3ζ4−3ζ5−3ζ−3ζ800000000000000006ζ4+6ζ5−3ζ4−3ζ5−3+3ζ2+3ζ76+3ζ+3ζ8−3+3ζ4+3ζ500000000000000006ζ+6ζ8−3ζ−3ζ8−3+3ζ+3ζ8−3+3ζ4+3ζ56+3ζ2+3ζ700000000000000006ζ2+6ζ7−3ζ2−3ζ76+3ζ4+3ζ5−3+3ζ2+3ζ7−3+3ζ+3ζ80000000000000000000000000000000000000
χ12612-66ζ4+6ζ56ζ+6ζ86ζ2+6ζ70000000000000000-63−3ζ4−3ζ5−3ζ−3ζ8−3ζ2−3ζ700000000000000006ζ4+6ζ5−3ζ4−3ζ56+3ζ+3ζ8−3+3ζ4+3ζ5−3+3ζ2+3ζ700000000000000006ζ+6ζ8−3ζ−3ζ8−3+3ζ4+3ζ56+3ζ2+3ζ7−3+3ζ+3ζ800000000000000006ζ2+6ζ7−3ζ2−3ζ7−3+3ζ2+3ζ7−3+3ζ+3ζ86+3ζ4+3ζ50000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 9 (ζ9 = 1); i = ζ2.