Finite Group Databasebeta

← Group #13173190

Character table — Group #13173190

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1122222222244444444444444444668888888888888888881212121212121212121212121212121212161616161616161616161616161616161616161616161616161618183672727272108108144144
order12333346666233666666666612121212243333333366666666121246666121212121212121212121212666666666666666666121212121212121288424242424281212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111−1−i32−1+i3211111111−1−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+i3211111111111111111−1−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+i32111−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32
χ4111111111111−1−i32−1+i3211111111−1−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+i3211111111111111111−1−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+i32-1-1-11+i321+i321−i321−i32-1-11+i321−i32
χ5111111111111−1+i32−1−i3211111111−1+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−i3211111111111111111−1+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−i32111−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32
χ6111111111111−1+i32−1−i3211111111−1+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−i3211111111111111111−1+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−i32-1-1-11−i321−i321+i321+i32-1-11−i321+i32
χ711111111111-111-1-1-1-1-1-1-1-111111111111111111111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-11111-11-1-1
χ811111111111-111-1-1-1-1-1-1-1-111111111111111111111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1-1-1-11-111
χ911111111111-1−1−i32−1+i32-1-1-1-1-1-1-1-1−1−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+i32-111111111-1-1-1-1-1-1-1-11+i321−i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211-1−1−i32−1−i32−1+i32−1+i32-111+i321−i32
χ1011111111111-1−1−i32−1+i32-1-1-1-1-1-1-1-1−1−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+i32-111111111-1-1-1-1-1-1-1-11+i321−i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-111+i321+i321−i321−i321-1−1−i32−1+i32
χ1111111111111-1−1+i32−1−i32-1-1-1-1-1-1-1-1−1+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−i32-111111111-1-1-1-1-1-1-1-11−i321+i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211-1−1+i32−1+i32−1−i32−1−i32-111−i321+i32
χ1211111111111-1−1+i32−1−i32-1-1-1-1-1-1-1-1−1+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−i32-111111111-1-1-1-1-1-1-1-11−i321+i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-111−i321−i321+i321+i321-1−1+i32−1−i32
χ13222222-222220220000000022-2-2-2-2-222222222222222222-2-20-2-2-2-2222200000000000000000000000000-2-2-2-2-2-2-2-200000000000
χ14222222-222220−1−i3−1+i300000000−1−i3−1+i3-2-2-2-2-22−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i31+i31−i30-2-2-2-22222000000000000000000000000001+i31+i31+i31+i31−i31−i31−i31−i300000000000
χ15222222-222220−1+i3−1−i300000000−1+i3−1−i3-2-2-2-2-22−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i31−i31+i30-2-2-2-22222000000000000000000000000001−i31−i31−i31−i31+i31+i31+i31+i300000000000
χ16222-1-1-122-1-1-122222-1-1-1-1-1-1222-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-12222-1-1-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-100000000000
χ17222-1-1-122-1-1-12−1−i3−1+i322-1-1-1-1-1-1−1−i3−1+i32-1-1-122−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i3−1+i322-1-1-12-1-1-122-1-1-1-1-1-1−1−i3−1+i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1−i31+i321+i321+i32−1+i31−i321−i321−i3200000000000
χ18222-1-1-122-1-1-12−1+i3−1−i322-1-1-1-1-1-1−1+i3−1−i32-1-1-122−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i3−1−i322-1-1-12-1-1-122-1-1-1-1-1-1−1+i3−1−i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1+i31−i321−i321−i32−1−i31+i321+i321+i3200000000000
χ19222-1-1-122-1-1-1-222-2-2111111222-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-122-22-1-1-12-1-1-1-2-2111111-2-2-2-2111111-2-21111112-1-1-12-1-1-100000000000
χ20222-1-1-122-1-1-1-2−1−i3−1+i3-2-2111111−1−i3−1+i32-1-1-122−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i3−1+i3-22-1-1-12-1-1-1-2-21111111+i31−i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i31+i321+i321+i32−1+i31−i321−i321−i3200000000000
χ21222-1-1-122-1-1-1-2−1+i3−1−i3-2-2111111−1+i3−1−i32-1-1-122−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i3−1−i3-22-1-1-12-1-1-1-2-21111111−i31+i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i31−i321−i321−i32−1−i31+i321+i321+i3200000000000
χ22222-1-1-1-22-1-1-102200−i3−i3−i3i3i3i322-2111-222-1-1-12-1-1-12-1-1-12-1-1-1-2-20-21112-1-1-100−i3−i3−i3i3i3i30000−i3−i3−i3i3i3i300−i3−i3−i3i3i3i3-2111-211100000000000
χ23222-1-1-1-22-1-1-102200i3i3i3−i3−i3−i322-2111-222-1-1-12-1-1-12-1-1-12-1-1-1-2-20-21112-1-1-100i3i3i3−i3−i3−i30000i3i3i3−i3−i3−i300i3i3i3−i3−i3−i3-2111-211100000000000
χ24222-1-1-1-22-1-1-10−1−i3−1+i300−i3−i3−i3i3i3i3−1−i3−1+i3-2111-22−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i31−i321−i321−i321+i31−i30-21112-1-1-100−i3−i3−i3i3i3i30000−3+i32−3+i32−3+i323−i323−i323−i32003+i323+i323+i32−3−i32−3−i32−3−i321+i3−1−i32−1−i32−1−i321−i3−1+i32−1+i32−1+i3200000000000
χ25222-1-1-1-22-1-1-10−1−i3−1+i300i3i3i3−i3−i3−i3−1−i3−1+i3-2111-22−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i31−i321−i321−i321+i31−i30-21112-1-1-100i3i3i3−i3−i3−i300003−i323−i323−i32−3+i32−3+i32−3+i3200−3−i32−3−i32−3−i323+i323+i323+i321+i3−1−i32−1−i32−1−i321−i3−1+i32−1+i32−1+i3200000000000
χ26222-1-1-1-22-1-1-10−1+i3−1−i300−i3−i3−i3i3i3i3−1+i3−1−i3-2111-22−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i31+i321+i321+i321−i31+i30-21112-1-1-100−i3−i3−i3i3i3i300003+i323+i323+i32−3−i32−3−i32−3−i3200−3+i32−3+i32−3+i323−i323−i323−i321−i3−1+i32−1+i32−1+i321+i3−1−i32−1−i32−1−i3200000000000
χ27222-1-1-1-22-1-1-10−1+i3−1−i300i3i3i3−i3−i3−i3−1+i3−1−i3-2111-22−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i31+i321+i321+i321−i31+i30-21112-1-1-100i3i3i3−i3−i3−i30000−3−i32−3−i32−3−i323+i323+i323+i32003−i323−i323−i32−3+i32−3+i32−3+i321−i3−1+i32−1+i32−1+i321+i3−1−i32−1−i32−1−i3200000000000
χ2822-12-1-12-12-1-1222-1-12-1-12-1-122-12-1-122-12-1-1-12-1-1-12-1-1-12-1-1222-12-1-1-12-1-1-1-12-1-12-1-122-1-12-1-12-1-1-1-12-1-12-1-1-12-1-1-12-1-100000000000
χ2922-12-1-12-12-1-12−1−i3−1+i3-1-12-1-12-1-1−1−i3−1+i3-12-1-1221+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i32−1−i3−1+i32-12-1-1-12-1-1-1-12-1-12-1-1−1−i3−1+i31+i321+i32−1−i31+i321+i32−1−i31+i321+i321−i321−i32−1+i31−i321−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i3200000000000
χ3022-12-1-12-12-1-12−1+i3−1−i3-1-12-1-12-1-1−1+i3−1−i3-12-1-1221−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i32−1+i3−1−i32-12-1-1-12-1-1-1-12-1-12-1-1−1+i3−1−i31−i321−i32−1+i31−i321−i32−1+i31−i321−i321+i321+i32−1−i31+i321+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i3200000000000
χ3122-12-1-12-12-1-1-22211-211-21122-12-1-122-12-1-1-12-1-1-12-1-1-12-1-122-2-12-1-1-12-1-111-211-211-2-211-211-21111-211-211-12-1-1-12-1-100000000000
χ3222-12-1-12-12-1-1-2−1−i3−1+i311-211-211−1−i3−1+i3-12-1-1221+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i32−1−i3−1+i3-2-12-1-1-12-1-111-211-2111+i31−i3−1−i32−1−i321+i3−1−i32−1−i321+i3−1−i32−1−i32−1+i32−1+i321−i3−1+i32−1+i321−i3−1+i32−1+i321+i32−1−i31+i321+i321−i32−1+i31−i321−i3200000000000
χ3322-12-1-12-12-1-1-2−1+i3−1−i311-211-211−1+i3−1−i3-12-1-1221−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i32−1+i3−1−i3-2-12-1-1-12-1-111-211-2111−i31+i3−1+i32−1+i321−i3−1+i32−1+i321−i3−1+i32−1+i32−1−i32−1−i321+i3−1−i32−1−i321+i3−1−i32−1−i321−i32−1+i31−i321−i321+i32−1−i31+i321+i3200000000000
χ3422-12-1-1-2-12-1-1022−i3i30−i3i30−i3i3221-211-22-12-1-1-12-1-1-12-1-1-12-1-1-2-201-211-12-1-1−i3i30−i3i30−i3i300−i3i30−i3i30−i3i3−i3i30−i3i30−i3i31-2111-21100000000000
χ3522-12-1-1-2-12-1-1022i3−i30i3−i30i3−i3221-211-22-12-1-1-12-1-1-12-1-1-12-1-1-2-201-211-12-1-1i3−i30i3−i30i3−i300i3−i30i3−i30i3−i3i3−i30i3−i30i3−i31-2111-21100000000000
χ3622-12-1-1-2-12-1-10−1−i3−1+i3−i3i30−i3i30−i3i3−1−i3−1+i31-211-221+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i31−i301-211-12-1-1−i3i30−i3i30−i3i300−3+i323−i320−3+i323−i320−3+i323−i323+i32−3−i3203+i32−3−i3203+i32−3−i32−1−i321+i3−1−i32−1−i32−1+i321−i3−1+i32−1+i3200000000000
χ3722-12-1-1-2-12-1-10−1−i3−1+i3i3−i30i3−i30i3−i3−1−i3−1+i31-211-221+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i31−i301-211-12-1-1i3−i30i3−i30i3−i3003−i32−3+i3203−i32−3+i3203−i32−3+i32−3−i323+i320−3−i323+i320−3−i323+i32−1−i321+i3−1−i32−1−i32−1+i321−i3−1+i32−1+i3200000000000
χ3822-12-1-1-2-12-1-10−1+i3−1−i3−i3i30−i3i30−i3i3−1+i3−1−i31-211-221−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i31+i301-211-12-1-1−i3i30−i3i30−i3i3003+i32−3−i3203+i32−3−i3203+i32−3−i32−3+i323−i320−3+i323−i320−3+i323−i32−1+i321−i3−1+i32−1+i32−1−i321+i3−1−i32−1−i3200000000000
χ3922-12-1-1-2-12-1-10−1+i3−1−i3i3−i30i3−i30i3−i3−1+i3−1−i31-211-221−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i31+i301-211-12-1-1i3−i30i3−i30i3−i300−3−i323+i320−3−i323+i320−3−i323+i323−i32−3+i3203−i32−3+i3203−i32−3+i32−1+i321−i3−1+i32−1+i32−1−i321+i3−1−i32−1−i3200000000000
χ4022-1-12-12-1-12-1222-1-1-12-1-1-1222-1-12-122-1-12-1-1-12-1-1-12-1-1-12-1222-1-12-1-1-12-1-1-1-12-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-12-1-12-1-1-12-100000000000
χ4122-1-12-12-1-12-12−1−i3−1+i3-1-1-12-1-1-12−1−i3−1+i3-1-12-1221+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i321−i32−1+i31−i32−1−i3−1+i32-1-12-1-1-12-1-1-1-12-1-1-12−1−i3−1+i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31+i321+i32−1−i31+i321−i321−i32−1+i31−i3200000000000
χ4222-1-12-12-1-12-12−1+i3−1−i3-1-1-12-1-1-12−1+i3−1−i3-1-12-1221−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i321+i32−1−i31+i32−1+i3−1−i32-1-12-1-1-12-1-1-1-12-1-1-12−1+i3−1−i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31−i321−i32−1+i31−i321+i321+i32−1−i31+i3200000000000
χ4322-1-12-12-1-12-1-222111-2111-222-1-12-122-1-12-1-1-12-1-1-12-1-1-12-122-2-1-12-1-1-12-1111-2111-2-2-2111-2111-2111-2111-2-1-12-1-1-12-100000000000
χ4422-1-12-12-1-12-1-2−1−i3−1+i3111-2111-2−1−i3−1+i3-1-12-1221+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i321−i32−1+i31−i32−1−i3−1+i3-2-1-12-1-1-12-1111-2111-21+i31−i3−1−i32−1−i32−1−i321+i3−1−i32−1−i32−1−i321+i3−1+i32−1+i32−1+i321−i3−1+i32−1+i32−1+i321−i31+i321+i32−1−i31+i321−i321−i32−1+i31−i3200000000000
χ4522-1-12-12-1-12-1-2−1+i3−1−i3111-2111-2−1+i3−1−i3-1-12-1221−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i321+i32−1−i31+i32−1+i3−1−i3-2-1-12-1-1-12-1111-2111-21−i31+i3−1+i32−1+i32−1+i321−i3−1+i32−1+i32−1+i321−i3−1−i32−1−i32−1−i321+i3−1−i32−1−i32−1−i321+i31−i321−i32−1+i31−i321+i321+i32−1−i31+i3200000000000
χ4622-1-12-1-2-1-12-1022−i3i3i30−i3−i3i302211-21-22-1-12-1-1-12-1-1-12-1-1-12-1-2-2011-21-1-12-1−i3i3i30−i3−i3i3000−i3i3i30−i3−i3i30−i3i3i30−i3−i3i3011-2111-2100000000000
χ4722-1-12-1-2-1-12-1022i3−i3−i30i3i3−i302211-21-22-1-12-1-1-12-1-1-12-1-1-12-1-2-2011-21-1-12-1i3−i3−i30i3i3−i3000i3−i3−i30i3i3−i30i3−i3−i30i3i3−i3011-2111-2100000000000
χ4822-1-12-1-2-1-12-10−1−i3−1+i3−i3i3i30−i3−i3i30−1−i3−1+i311-21-221+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i31−i3011-21-1-12-1−i3i3i30−i3−i3i3000−3+i323−i323−i320−3+i32−3+i323−i3203+i32−3−i32−3−i3203+i323+i32−3−i320−1−i32−1−i321+i3−1−i32−1+i32−1+i321−i3−1+i3200000000000
χ4922-1-12-1-2-1-12-10−1−i3−1+i3i3−i3−i30i3i3−i30−1−i3−1+i311-21-221+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i31−i3011-21-1-12-1i3−i3−i30i3i3−i30003−i32−3+i32−3+i3203−i323−i32−3+i320−3−i323+i323+i320−3−i32−3−i323+i320−1−i32−1−i321+i3−1−i32−1+i32−1+i321−i3−1+i3200000000000
χ5022-1-12-1-2-1-12-10−1+i3−1−i3−i3i3i30−i3−i3i30−1+i3−1−i311-21-221−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i31+i3011-21-1-12-1−i3i3i30−i3−i3i30003+i32−3−i32−3−i3203+i323+i32−3−i320−3+i323−i323−i320−3+i32−3+i323−i320−1+i32−1+i321−i3−1+i32−1−i32−1−i321+i3−1−i3200000000000
χ5122-1-12-1-2-1-12-10−1+i3−1−i3i3−i3−i30i3i3−i30−1+i3−1−i311-21-221−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i31+i3011-21-1-12-1i3−i3−i30i3i3−i3000−3−i323+i323+i320−3−i32−3−i323+i3203−i32−3+i32−3+i3203−i323−i32−3+i320−1+i32−1+i321−i3−1+i32−1−i32−1−i321+i3−1−i3200000000000
χ5222-1-1-122-1-1-12222-1-1-1-12-12-122-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-12222-1-1-12-1-1-12-1-1-1-12-12-122-1-1-1-12-12-1-1-1-1-12-12-1-1-1-12-1-1-1200000000000
χ5322-1-1-122-1-1-122−1−i3−1+i3-1-1-1-12-12-1−1−i3−1+i3-1-1-12221+i321+i321+i32−1−i31−i321−i321−i32−1+i31+i321+i321+i32−1−i31−i321−i321−i32−1+i3−1−i3−1+i32-1-1-12-1-1-12-1-1-1-12-12-1−1−i3−1+i31+i321+i321+i321+i32−1−i31+i32−1−i31+i321−i321−i321−i321−i32−1+i31−i32−1+i31−i321+i321+i321+i32−1−i31−i321−i321−i32−1+i300000000000
χ5422-1-1-122-1-1-122−1+i3−1−i3-1-1-1-12-12-1−1+i3−1−i3-1-1-12221−i321−i321−i32−1+i31+i321+i321+i32−1−i31−i321−i321−i32−1+i31+i321+i321+i32−1−i3−1+i3−1−i32-1-1-12-1-1-12-1-1-1-12-12-1−1+i3−1−i31−i321−i321−i321−i32−1+i31−i32−1+i31−i321+i321+i321+i321+i32−1−i31+i32−1−i31+i321−i321−i321−i32−1+i31+i321+i321+i32−1−i300000000000
χ5522-1-1-122-1-1-12-2221111-21-2122-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-1222-2-1-1-12-1-1-121111-21-21-2-21111-21-211111-21-21-1-1-12-1-1-1200000000000
χ5622-1-1-122-1-1-12-2−1−i3−1+i31111-21-21−1−i3−1+i3-1-1-12221+i321+i321+i32−1−i31−i321−i321−i32−1+i31+i321+i321+i32−1−i31−i321−i321−i32−1+i3−1−i3−1+i3-2-1-1-12-1-1-121111-21-211+i31−i3−1−i32−1−i32−1−i32−1−i321+i3−1−i321+i3−1−i32−1+i32−1+i32−1+i32−1+i321−i3−1+i321−i3−1+i321+i321+i321+i32−1−i31−i321−i321−i32−1+i300000000000
χ5722-1-1-122-1-1-12-2−1+i3−1−i31111-21-21−1+i3−1−i3-1-1-12221−i321−i321−i32−1+i31+i321+i321+i32−1−i31−i321−i321−i32−1+i31+i321+i321+i32−1−i3−1+i3−1−i3-2-1-1-12-1-1-121111-21-211−i31+i3−1+i32−1+i32−1+i32−1+i321−i3−1+i321−i3−1+i32−1−i32−1−i32−1−i32−1−i321+i3−1−i321+i3−1−i321−i321−i321−i32−1+i31+i321+i321+i32−1−i300000000000
χ5822-1-1-12-2-1-1-12022−i3i3−i3i30i30−i322111-2-22-1-1-12-1-1-12-1-1-12-1-1-12-2-20111-2-1-1-12−i3i3−i3i30i30−i300−i3i3−i3i30i30−i3−i3i3−i3i30i30−i3111-2111-200000000000
χ5922-1-1-12-2-1-1-12022i3−i3i3−i30−i30i322111-2-22-1-1-12-1-1-12-1-1-12-1-1-12-2-20111-2-1-1-12i3−i3i3−i30−i30i300i3−i3i3−i30−i30i3i3−i3i3−i30−i30i3111-2111-200000000000
χ6022-1-1-12-2-1-1-120−1−i3−1+i3−i3i3−i3i30i30−i3−1−i3−1+i3111-2-221+i321+i321+i32−1−i31−i321−i321−i32−1+i31+i321+i321+i32−1−i31−i321−i321−i32−1+i31+i31−i30111-2-1-1-12−i3i3−i3i30i30−i300−3+i323−i32−3+i323−i3203−i320−3+i323+i32−3−i323+i32−3−i320−3−i3203+i32−1−i32−1−i32−1−i321+i3−1+i32−1+i32−1+i321−i300000000000
χ6122-1-1-12-2-1-1-120−1−i3−1+i3i3−i3i3−i30−i30i3−1−i3−1+i3111-2-221+i321+i321+i32−1−i31−i321−i321−i32−1+i31+i321+i321+i32−1−i31−i321−i321−i32−1+i31+i31−i30111-2-1-1-12i3−i3i3−i30−i30i3003−i32−3+i323−i32−3+i320−3+i3203−i32−3−i323+i32−3−i323+i3203+i320−3−i32−1−i32−1−i32−1−i321+i3−1+i32−1+i32−1+i321−i300000000000
χ6222-1-1-12-2-1-1-120−1+i3−1−i3−i3i3−i3i30i30−i3−1+i3−1−i3111-2-221−i321−i321−i32−1+i31+i321+i321+i32−1−i31−i321−i321−i32−1+i31+i321+i321+i32−1−i31−i31+i30111-2-1-1-12−i3i3−i3i30i30−i3003+i32−3−i323+i32−3−i320−3−i3203+i32−3+i323−i32−3+i323−i3203−i320−3+i32−1+i32−1+i32−1+i321−i3−1−i32−1−i32−1−i321+i300000000000
χ6322-1-1-12-2-1-1-120−1+i3−1−i3i3−i3i3−i30−i30i3−1+i3−1−i3111-2-221−i321−i321−i32−1+i31+i321+i321+i32−1−i31−i321−i321−i32−1+i31+i321+i321+i32−1−i31−i31+i30111-2-1-1-12i3−i3i3−i30−i30i300−3−i323+i32−3−i323+i3203+i320−3−i323−i32−3+i323−i32−3+i320−3+i3203−i32−1+i32−1+i32−1+i321−i3−1−i32−1−i32−1−i321+i300000000000
χ643333333333330033333333003333-1-1000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000003330000-1-100
χ653333333333330033333333003333-1-1000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000-3-3-300001100
χ6633333333333-300-3-3-3-3-3-3-3-3003333-1-10000000000000000001-1-1-1-1-1-1-1-1111111110000000000000000000000000033-300001-100
χ6733333333333-300-3-3-3-3-3-3-3-3003333-1-10000000000000000001-1-1-1-1-1-1-1-11111111100000000000000000000000000-3-330000-1100
χ684-444440-4-4-4-40-2-20000000022000000-2-2-2-2-2-2-2-222222222000000000000000000000000000000000000000000000−2i22i20−i2i2−i2i20000
χ694-444440-4-4-4-40-2-20000000022000000-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000000002i2−2i20i2−i2i2−i20000
χ704-444440-4-4-4-401+i31−i300000000−1−i3−1+i30000001+i31+i31+i31+i31−i31−i31−i31−i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3000000000000000000000000000000000000000000000−2i22i20ζ7+ζ13−ζ7−ζ13ζ5+ζ23−ζ5−ζ230000
χ714-444440-4-4-4-401+i31−i300000000−1−i3−1+i30000001+i31+i31+i31+i31−i31−i31−i31−i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i30000000000000000000000000000000000000000000002i2−2i20−ζ7−ζ13ζ7+ζ13−ζ5−ζ23ζ5+ζ230000
χ724-444440-4-4-4-401−i31+i300000000−1+i3−1−i30000001−i31−i31−i31−i31+i31+i31+i31+i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3000000000000000000000000000000000000000000000−2i22i20ζ5+ζ23−ζ5−ζ23ζ7+ζ13−ζ7−ζ130000
χ734-444440-4-4-4-401−i31+i300000000−1+i3−1−i30000001−i31−i31−i31−i31+i31+i31+i31+i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i30000000000000000000000000000000000000000000002i2−2i20−ζ5−ζ23ζ5+ζ23−ζ7−ζ13ζ7+ζ130000
χ74666666-666660000000000000-6-6-6-62-200000000000000000002222-2-2-2-2000000000000000000000000000000000000000000000
χ75666-3-3-366-3-3-360066-3-3-3-3-3-3006-3-3-3-2-2000000000000000000-2-2111-2111-2-21111110000000000000000000000000000000000000
χ76666-3-3-366-3-3-3-600-6-6333333006-3-3-3-2-20000000000000000002-2111-211122-1-1-1-1-1-10000000000000000000000000000000000000
χ77666-3-3-3-66-3-3-300000−3i3−3i3−3i33i33i33i300-63332-200000000000000000002-1-1-1-211100i3i3i3−i3−i3−i30000000000000000000000000000000000000
χ78666-3-3-3-66-3-3-3000003i33i33i3−3i3−3i3−3i300-63332-200000000000000000002-1-1-1-211100−i3−i3−i3i3i3i30000000000000000000000000000000000000
χ7966-36-3-36-36-3-3600-3-36-3-36-3-300-36-3-3-2-2000000000000000000-21-2111-21111-211-2110000000000000000000000000000000000000
χ8066-36-3-36-36-3-3-60033-633-63300-36-3-3-2-200000000000000000021-2111-211-1-12-1-12-1-10000000000000000000000000000000000000
χ8166-36-3-3-6-36-3-3000−3i33i30−3i33i30−3i33i3003-6332-20000000000000000000-12-1-11-211i3−i30i3−i30i3−i30000000000000000000000000000000000000
χ8266-36-3-3-6-36-3-30003i3−3i303i3−3i303i3−3i3003-6332-20000000000000000000-12-1-11-211−i3i30−i3i30−i3i30000000000000000000000000000000000000
χ8366-3-36-36-3-36-3600-3-3-36-3-3-3600-3-36-3-2-2000000000000000000-211-2111-21111-2111-20000000000000000000000000000000000000
χ8466-3-36-36-3-36-3-600333-6333-600-3-36-3-2-2000000000000000000211-2111-21-1-1-12-1-1-120000000000000000000000000000000000000
χ8566-3-36-3-6-3-36-3000−3i33i33i30−3i3−3i33i300033-632-20000000000000000000-1-12-111-21i3−i3−i30i3i3−i300000000000000000000000000000000000000
χ8666-3-36-3-6-3-36-30003i3−3i3−3i303i33i3−3i300033-632-20000000000000000000-1-12-111-21−i3i3i30−i3−i3i300000000000000000000000000000000000000
χ8766-3-3-366-3-3-36600-3-3-3-36-36-300-3-3-36-2-2000000000000000000-2111-2111-21111-21-210000000000000000000000000000000000000
χ8866-3-3-366-3-3-36-6003333-63-6300-3-3-36-2-20000000000000000002111-2111-2-1-1-1-12-12-10000000000000000000000000000000000000
χ8966-3-3-36-6-3-3-36000−3i33i3−3i33i303i30−3i300333-62-20000000000000000000-1-1-12111-2i3−i3i3−i30−i30i30000000000000000000000000000000000000
χ9066-3-3-36-6-3-3-360003i3−3i33i3−3i30−3i303i300333-62-20000000000000000000-1-1-12111-2−i3i3−i3i30i30−i30000000000000000000000000000000000000
χ918-88-4-4-40-84440-4-40000000044000000-4222-42224-2-2-24-2-2-200000000000000000000000000000000000000000000000000000000
χ928-88-4-4-40-844402+2i32−2i300000000−2−2i3−2+2i30000002+2i3−1−i3−1−i3−1−i32−2i3−1+i3−1+i3−1+i3−2−2i31+i31+i31+i3−2+2i31−i31−i31−i300000000000000000000000000000000000000000000000000000000
χ938-88-4-4-40-844402−2i32+2i300000000−2+2i3−2−2i30000002−2i3−1+i3−1+i3−1+i32+2i3−1−i3−1−i3−1−i3−2+2i31−i31−i31−i3−2−2i31+i31+i31+i300000000000000000000000000000000000000000000000000000000
χ948-8-48-4-404-8440-4-400000000440000002-4222-422-24-2-2-24-2-200000000000000000000000000000000000000000000000000000000
χ958-8-48-4-404-84402+2i32−2i300000000−2−2i3−2+2i3000000−1−i32+2i3−1−i3−1−i3−1+i32−2i3−1+i3−1+i31+i3−2−2i31+i31+i31−i3−2+2i31−i31−i300000000000000000000000000000000000000000000000000000000
χ968-8-48-4-404-84402−2i32+2i300000000−2+2i3−2−2i3000000−1+i32−2i3−1+i3−1+i3−1−i32+2i3−1−i3−1−i31−i3−2+2i31−i31−i31+i3−2−2i31+i31+i300000000000000000000000000000000000000000000000000000000
χ978-8-4-48-4044-840-4-4000000004400000022-4222-42-2-24-2-2-24-200000000000000000000000000000000000000000000000000000000
χ988-8-4-48-4044-8402+2i32−2i300000000−2−2i3−2+2i3000000−1−i3−1−i32+2i3−1−i3−1+i3−1+i32−2i3−1+i31+i31+i3−2−2i31+i31−i31−i3−2+2i31−i300000000000000000000000000000000000000000000000000000000
χ998-8-4-48-4044-8402−2i32+2i300000000−2+2i3−2−2i3000000−1+i3−1+i32−2i3−1+i3−1−i3−1−i32+2i3−1−i31−i31−i3−2+2i31−i31+i31+i3−2−2i31+i300000000000000000000000000000000000000000000000000000000
χ1008-8-4-4-480444-80-4-40000000044000000222-4222-4-2-2-24-2-2-2400000000000000000000000000000000000000000000000000000000
χ1018-8-4-4-480444-802+2i32−2i300000000−2−2i3−2+2i3000000−1−i3−1−i3−1−i32+2i3−1+i3−1+i3−1+i32−2i31+i31+i31+i3−2−2i31−i31−i31−i3−2+2i300000000000000000000000000000000000000000000000000000000
χ1028-8-4-4-480444-802−2i32+2i300000000−2+2i3−2−2i3000000−1+i3−1+i3−1+i32−2i3−1−i3−1−i3−1−i32+2i31−i31−i31−i3−2+2i31+i31+i31+i3−2−2i300000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.