Finite Group Databasebeta

← Group #13047981

Character table — Group #13047981

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11222222222333344444444444446666666666666666666666661212121212121212121212121212121212121212121212121212121212121212121212545454545454108108108
order12333346666336641212121212121212121212123333333333366666666666121212121212121212121212121212121212121212121212121212121212121212121212128824242424266
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1
χ3111111111111111-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1
χ4111111111111111-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ511111111111−1−i32−1+i32−1−i32−1+i321111111111111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32111−1−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−i32−1+i32−1+i32−1+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+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32
χ611111111111−1−i32−1+i32−1−i32−1+i321111111111111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32111−1−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−i32−1+i32−1+i32−1+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+i32-1-11+i321+i321−i321−i32-11+i321−i32
χ711111111111−1−i32−1+i32−1−i32−1+i32-11111-1-1-1-1-1-1-1-1111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i321+i321−i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-11+i321−i32
χ811111111111−1−i32−1+i32−1−i32−1+i32-11111-1-1-1-1-1-1-1-1111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i321+i321−i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32-1-11+i321+i321−i321−i321−1−i32−1+i32
χ911111111111−1+i32−1−i32−1+i32−1−i321111111111111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32111−1+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+i32−1−i32−1−i32−1−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−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32
χ1011111111111−1+i32−1−i32−1+i32−1−i321111111111111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32111−1+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+i32−1−i32−1−i32−1−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−i32-1-11−i321−i321+i321+i32-11−i321+i32
χ1111111111111−1+i32−1−i32−1+i32−1−i32-11111-1-1-1-1-1-1-1-1111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i321−i321+i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-11−i321+i32
χ1211111111111−1+i32−1−i32−1+i32−1−i32-11111-1-1-1-1-1-1-1-1111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i321−i321+i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32-1-11−i321−i321+i321+i321−1+i32−1−i32
χ132222222222222222222222222222-1-1-12-1-1-12-1-1-1-1-1-12-1-1-12-1-1-12222-1-1-12-1-1-12-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000000
χ14222222222222222-22222-2-2-2-2-2-2-2-2-1-1-12-1-1-12-1-1-1-1-1-12-1-1-12-1-1-122-2-2-1-1-12-1-1-12-1-1-1111111-2-2111111-2-2111111000000000
χ1522222222222−1−i3−1+i3−1−i3−1+i32222222222222-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i32-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i3−1+i3−1−i3−1+i3-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i32-1-1-1-1-1-1−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32000000000
χ1622222222222−1−i3−1+i3−1−i3−1+i3-22222-2-2-2-2-2-2-2-2-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i32-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i3−1+i31+i31−i3-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i321111111+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+i32000000000
χ1722222222222−1+i3−1−i3−1+i3−1−i32222222222222-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i32-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i3−1−i3−1+i3−1−i3-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i32-1-1-1-1-1-1−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32000000000
χ1822222222222−1+i3−1−i3−1+i3−1−i3-22222-2-2-2-2-2-2-2-2-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i32-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i3−1−i31−i31+i3-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i321111111−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−i32000000000
χ19222222-2222222220-2-2-2-2000000002222222222222222222222-2-200-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000
χ20222222-2222222220-2-2-2-200000000-1-1-12-1-1-12-1-1-1-1-1-12-1-1-12-1-1-1-2-200111-2111-2111−i3−i3−i3i3i3i300−i3−i3−i3i3i3i300−i3−i3−i3i3i3i3000000000
χ21222222-2222222220-2-2-2-200000000-1-1-12-1-1-12-1-1-1-1-1-12-1-1-12-1-1-1-2-200111-2111-2111i3i3i3−i3−i3−i300i3i3i3−i3−i3−i300i3i3i3−i3−i3−i3000000000
χ22222222-22222−1−i3−1+i3−1−i3−1+i30-2-2-2-200000000222−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i31+i31−i300-2-2-21+i31+i31+i31+i31−i31−i31−i31−i30000000000000000000000000000000
χ23222222-22222−1−i3−1+i3−1−i3−1+i30-2-2-2-200000000-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i32-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i321+i31−i3001111+i3−1−i32−1−i32−1−i321−i3−1+i32−1+i32−1+i32−i3−i3−i3i3i3i300−3+i32−3+i32−3+i323−i323−i323−i32003+i323+i323+i32−3−i32−3−i32−3−i32000000000
χ24222222-22222−1−i3−1+i3−1−i3−1+i30-2-2-2-200000000-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i32-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i321+i31−i3001111+i3−1−i32−1−i32−1−i321−i3−1+i32−1+i32−1+i32i3i3i3−i3−i3−i3003−i323−i323−i32−3+i32−3+i32−3+i3200−3−i32−3−i32−3−i323+i323+i323+i32000000000
χ25222222-22222−1+i3−1−i3−1+i3−1−i30-2-2-2-200000000222−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3222−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i31−i31+i300-2-2-21−i31−i31−i31−i31+i31+i31+i31+i30000000000000000000000000000000
χ26222222-22222−1+i3−1−i3−1+i3−1−i30-2-2-2-200000000-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i32-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i321−i31+i3001111−i3−1+i32−1+i32−1+i321+i3−1−i32−1−i32−1−i32−i3−i3−i3i3i3i3003+i323+i323+i32−3−i32−3−i32−3−i3200−3+i32−3+i32−3+i323−i323−i323−i32000000000
χ27222222-22222−1+i3−1−i3−1+i3−1−i30-2-2-2-200000000-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i32-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i321−i31+i3001111−i3−1+i32−1+i32−1+i321+i3−1−i32−1−i32−1−i32i3i3i3−i3−i3−i300−3−i32−3−i32−3−i323+i323+i323+i32003−i323−i323−i32−3+i32−3+i32−3+i32000000000
χ28222-1-1-122-1-1-1222222-1-1-122-1-1-1-1-1-12-1-1-12-1-1-12-1-12-1-1-12-1-1-12-1-122222-1-1-12-1-1-12-1-12-1-12-1-1-1-12-1-12-1-1-1-12-1-12-1-1000000000
χ29222-1-1-122-1-1-1222222-1-1-122-1-1-1-1-1-1-12-1-1-12-1-1-12-1-12-1-1-12-1-1-12-12222-12-1-1-12-1-1-12-1-12-1-12-1-1-1-12-1-12-1-1-1-12-1-12-1000000000
χ30222-1-1-122-1-1-1222222-1-1-122-1-1-1-1-1-1-1-12-1-1-12-1-1-12-1-12-1-1-12-1-1-122222-1-12-1-1-12-1-1-12-1-12-1-12-1-1-1-12-1-12-1-1-1-12-1-12000000000
χ31222-1-1-122-1-1-12222-22-1-1-1-2-21111112-1-1-12-1-1-12-1-12-1-1-12-1-1-12-1-122-2-22-1-1-12-1-1-12-1-1-211-21111-211-21111-211-211000000000
χ32222-1-1-122-1-1-12222-22-1-1-1-2-2111111-12-1-1-12-1-1-12-1-12-1-1-12-1-1-12-122-2-2-12-1-1-12-1-1-12-11-211-21111-211-21111-211-21000000000
χ33222-1-1-122-1-1-12222-22-1-1-1-2-2111111-1-12-1-1-12-1-1-12-1-12-1-1-12-1-1-1222-2-2-1-12-1-1-12-1-1-1211-211-21111-211-21111-211-2000000000
χ34222-1-1-122-1-1-1−1−i3−1+i3−1−i3−1+i322-1-1-122-1-1-1-1-1-12-1-11+i32−1−i31+i321+i321−i32−1+i31−i321−i322-1-11+i32−1−i31+i321+i321−i32−1+i31−i321−i32−1−i3−1+i3−1−i3−1+i32-1-11+i32−1−i31+i321+i321−i32−1+i31−i321−i322-1-12-1-11+i321+i32−1−i31+i321+i32−1−i31+i321+i321−i321−i32−1+i31−i321−i32−1+i31−i321−i32000000000
χ35222-1-1-122-1-1-1−1−i3−1+i3−1−i3−1+i322-1-1-122-1-1-1-1-1-1-12-11+i321+i32−1−i31+i321−i321−i32−1+i31−i32-12-11+i321+i32−1−i31+i321−i321−i32−1+i31−i32−1−i3−1+i3−1−i3−1+i3-12-11+i321+i32−1−i31+i321−i321−i32−1+i31−i32-12-1-12-11+i321+i321+i32−1−i31+i321+i32−1−i31+i321−i321−i321−i32−1+i31−i321−i32−1+i31−i32000000000
χ36222-1-1-122-1-1-1−1−i3−1+i3−1−i3−1+i322-1-1-122-1-1-1-1-1-1-1-121+i321+i321+i32−1−i31−i321−i321−i32−1+i3-1-121+i321+i321+i32−1−i31−i321−i321−i32−1+i3−1−i3−1+i3−1−i3−1+i3-1-121+i321+i321+i32−1−i31−i321−i321−i32−1+i3-1-12-1-121+i321+i321+i321+i32−1−i31+i321+i32−1−i31−i321−i321−i321−i32−1+i31−i321−i32−1+i3000000000
χ37222-1-1-122-1-1-1−1−i3−1+i3−1−i3−1+i3-22-1-1-1-2-21111112-1-11+i32−1−i31+i321+i321−i32−1+i31−i321−i322-1-11+i32−1−i31+i321+i321−i32−1+i31−i321−i32−1−i3−1+i31+i31−i32-1-11+i32−1−i31+i321+i321−i32−1+i31−i321−i32-211-211−1−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+i32000000000
χ38222-1-1-122-1-1-1−1−i3−1+i3−1−i3−1+i3-22-1-1-1-2-2111111-12-11+i321+i32−1−i31+i321−i321−i32−1+i31−i32-12-11+i321+i32−1−i31+i321−i321−i32−1+i31−i32−1−i3−1+i31+i31−i3-12-11+i321+i32−1−i31+i321−i321−i32−1+i31−i321-211-21−1−i32−1−i32−1−i321+i3−1−i32−1−i321+i3−1−i32−1+i32−1+i32−1+i321−i3−1+i32−1+i321−i3−1+i32000000000
χ39222-1-1-122-1-1-1−1−i3−1+i3−1−i3−1+i3-22-1-1-1-2-2111111-1-121+i321+i321+i32−1−i31−i321−i321−i32−1+i3-1-121+i321+i321+i32−1−i31−i321−i321−i32−1+i3−1−i3−1+i31+i31−i3-1-121+i321+i321+i32−1−i31−i321−i321−i32−1+i311-211-2−1−i32−1−i32−1−i32−1−i321+i3−1−i32−1−i321+i3−1+i32−1+i32−1+i32−1+i321−i3−1+i32−1+i321−i3000000000
χ40222-1-1-122-1-1-1−1+i3−1−i3−1+i3−1−i322-1-1-122-1-1-1-1-1-12-1-11−i32−1+i31−i321−i321+i32−1−i31+i321+i322-1-11−i32−1+i31−i321−i321+i32−1−i31+i321+i32−1+i3−1−i3−1+i3−1−i32-1-11−i32−1+i31−i321−i321+i32−1−i31+i321+i322-1-12-1-11−i321−i32−1+i31−i321−i32−1+i31−i321−i321+i321+i32−1−i31+i321+i32−1−i31+i321+i32000000000
χ41222-1-1-122-1-1-1−1+i3−1−i3−1+i3−1−i322-1-1-122-1-1-1-1-1-1-12-11−i321−i32−1+i31−i321+i321+i32−1−i31+i32-12-11−i321−i32−1+i31−i321+i321+i32−1−i31+i32−1+i3−1−i3−1+i3−1−i3-12-11−i321−i32−1+i31−i321+i321+i32−1−i31+i32-12-1-12-11−i321−i321−i32−1+i31−i321−i32−1+i31−i321+i321+i321+i32−1−i31+i321+i32−1−i31+i32000000000
χ42222-1-1-122-1-1-1−1+i3−1−i3−1+i3−1−i322-1-1-122-1-1-1-1-1-1-1-121−i321−i321−i32−1+i31+i321+i321+i32−1−i3-1-121−i321−i321−i32−1+i31+i321+i321+i32−1−i3−1+i3−1−i3−1+i3−1−i3-1-121−i321−i321−i32−1+i31+i321+i321+i32−1−i3-1-12-1-121−i321−i321−i321−i32−1+i31−i321−i32−1+i31+i321+i321+i321+i32−1−i31+i321+i32−1−i3000000000
χ43222-1-1-122-1-1-1−1+i3−1−i3−1+i3−1−i3-22-1-1-1-2-21111112-1-11−i32−1+i31−i321−i321+i32−1−i31+i321+i322-1-11−i32−1+i31−i321−i321+i32−1−i31+i321+i32−1+i3−1−i31−i31+i32-1-11−i32−1+i31−i321−i321+i32−1−i31+i321+i32-211-211−1+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−i32000000000
χ44222-1-1-122-1-1-1−1+i3−1−i3−1+i3−1−i3-22-1-1-1-2-2111111-12-11−i321−i32−1+i31−i321+i321+i32−1−i31+i32-12-11−i321−i32−1+i31−i321+i321+i32−1−i31+i32−1+i3−1−i31−i31+i3-12-11−i321−i32−1+i31−i321+i321+i32−1−i31+i321-211-21−1+i32−1+i32−1+i321−i3−1+i32−1+i321−i3−1+i32−1−i32−1−i32−1−i321+i3−1−i32−1−i321+i3−1−i32000000000
χ45222-1-1-122-1-1-1−1+i3−1−i3−1+i3−1−i3-22-1-1-1-2-2111111-1-121−i321−i321−i32−1+i31+i321+i321+i32−1−i3-1-121−i321−i321−i32−1+i31+i321+i321+i32−1−i3−1+i3−1−i31−i31+i3-1-121−i321−i321−i32−1+i31+i321+i321+i32−1−i311-211-2−1+i32−1+i32−1+i32−1+i321−i3−1+i32−1+i321−i3−1−i32−1−i32−1−i32−1−i321+i3−1−i32−1−i321+i3000000000
χ46222-1-1-1-22-1-1-122220-211100−i3−i3−i3i3i3i32-1-1-12-1-1-12-1-12-1-1-12-1-1-12-1-1-2-200-2111-2111-2110−i3i30i3−i3−i3i30−i3i30i3−i3−i3i30−i3i30i3−i3000000000
χ47222-1-1-1-22-1-1-122220-211100−i3−i3−i3i3i3i3-12-1-1-12-1-1-12-1-12-1-1-12-1-1-12-1-2-2001-2111-2111-21i30−i3−i30i3−i3i3i30−i3−i30i3−i3i3i30−i3−i30i3000000000
χ48222-1-1-1-22-1-1-122220-211100−i3−i3−i3i3i3i3-1-12-1-1-12-1-1-12-1-12-1-1-12-1-1-12-2-20011-2111-2111-2−i3i30i3−i30−i3i3−i3i30i3−i30−i3i3−i3i30i3−i30000000000
χ49222-1-1-1-22-1-1-122220-211100i3i3i3−i3−i3−i32-1-1-12-1-1-12-1-12-1-1-12-1-1-12-1-1-2-200-2111-2111-2110i3−i30−i3i3i3−i30i3−i30−i3i3i3−i30i3−i30−i3i3000000000
χ50222-1-1-1-22-1-1-122220-211100i3i3i3−i3−i3−i3-12-1-1-12-1-1-12-1-12-1-1-12-1-1-12-1-2-2001-2111-2111-21−i30i3i30−i3i3−i3−i30i3i30−i3i3−i3−i30i3i30−i3000000000
χ51222-1-1-1-22-1-1-122220-211100i3i3i3−i3−i3−i3-1-12-1-1-12-1-1-12-1-12-1-1-12-1-1-12-2-20011-2111-2111-2i3−i30−i3i30i3−i3i3−i30−i3i30i3−i3i3−i30−i3i30000000000
χ52222-1-1-1-22-1-1-1−1−i3−1+i3−1−i3−1+i30-211100−i3−i3−i3i3i3i32-1-11+i32−1−i31+i321+i321−i32−1+i31−i321−i322-1-11+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i31−i300-211−1−i321+i3−1−i32−1−i32−1+i321−i3−1+i32−1+i320−i3i30i3−i3−3+i323−i320−3+i323−i3203−i32−3+i323+i32−3−i3203+i32−3−i320−3−i323+i32000000000
χ53222-1-1-1-22-1-1-1−1−i3−1+i3−1−i3−1+i30-211100−i3−i3−i3i3i3i3-12-11+i321+i32−1−i31+i321−i321−i32−1+i31−i32-12-11+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i31−i3001-21−1−i32−1−i321+i3−1−i32−1+i32−1+i321−i3−1+i32i30−i3−i30i3−3+i323−i323−i320−3+i32−3+i3203−i323+i32−3−i32−3−i3203+i323+i320−3−i32000000000
χ54222-1-1-1-22-1-1-1−1−i3−1+i3−1−i3−1+i30-211100−i3−i3−i3i3i3i3-1-121+i321+i321+i32−1−i31−i321−i321−i32−1+i3-1-121+i321+i321+i32−1−i31−i321−i321−i32−1+i31+i31−i30011-2−1−i32−1−i32−1−i321+i3−1+i32−1+i32−1+i321−i3−i3i30i3−i30−3+i323−i32−3+i323−i3203−i32−3+i3203+i32−3−i323+i32−3−i320−3−i323+i320000000000
χ55222-1-1-1-22-1-1-1−1−i3−1+i3−1−i3−1+i30-211100i3i3i3−i3−i3−i32-1-11+i32−1−i31+i321+i321−i32−1+i31−i321−i322-1-11+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i31−i300-211−1−i321+i3−1−i32−1−i32−1+i321−i3−1+i32−1+i320i3−i30−i3i33−i32−3+i3203−i32−3+i320−3+i323−i32−3−i323+i320−3−i323+i3203+i32−3−i32000000000
χ56222-1-1-1-22-1-1-1−1−i3−1+i3−1−i3−1+i30-211100i3i3i3−i3−i3−i3-12-11+i321+i32−1−i31+i321−i321−i32−1+i31−i32-12-11+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i31−i3001-21−1−i32−1−i321+i3−1−i32−1+i32−1+i321−i3−1+i32−i30i3i30−i33−i32−3+i32−3+i3203−i323−i320−3+i32−3−i323+i323+i320−3−i32−3−i3203+i32000000000
χ57222-1-1-1-22-1-1-1−1−i3−1+i3−1−i3−1+i30-211100i3i3i3−i3−i3−i3-1-121+i321+i321+i32−1−i31−i321−i321−i32−1+i3-1-121+i321+i321+i32−1−i31−i321−i321−i32−1+i31+i31−i30011-2−1−i32−1−i32−1−i321+i3−1+i32−1+i32−1+i321−i3i3−i30−i3i303−i32−3+i323−i32−3+i320−3+i323−i320−3−i323+i32−3−i323+i3203+i32−3−i320000000000
χ58222-1-1-1-22-1-1-1−1+i3−1−i3−1+i3−1−i30-211100−i3−i3−i3i3i3i32-1-11−i32−1+i31−i321−i321+i32−1−i31+i321+i322-1-11−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i31+i300-211−1+i321−i3−1+i32−1+i32−1−i321+i3−1−i32−1−i320−i3i30i3−i33+i32−3−i3203+i32−3−i320−3−i323+i32−3+i323−i320−3+i323−i3203−i32−3+i32000000000
χ59222-1-1-1-22-1-1-1−1+i3−1−i3−1+i3−1−i30-211100−i3−i3−i3i3i3i3-12-11−i321−i32−1+i31−i321+i321+i32−1−i31+i32-12-11−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i31+i3001-21−1+i32−1+i321−i3−1+i32−1−i32−1−i321+i3−1−i32i30−i3−i30i33+i32−3−i32−3−i3203+i323+i320−3−i32−3+i323−i323−i320−3+i32−3+i3203−i32000000000
χ60222-1-1-1-22-1-1-1−1+i3−1−i3−1+i3−1−i30-211100−i3−i3−i3i3i3i3-1-121−i321−i321−i32−1+i31+i321+i321+i32−1−i3-1-121−i321−i321−i32−1+i31+i321+i321+i32−1−i31−i31+i30011-2−1+i32−1+i32−1+i321−i3−1−i32−1−i32−1−i321+i3−i3i30i3−i303+i32−3−i323+i32−3−i320−3−i323+i320−3+i323−i32−3+i323−i3203−i32−3+i320000000000
χ61222-1-1-1-22-1-1-1−1+i3−1−i3−1+i3−1−i30-211100i3i3i3−i3−i3−i32-1-11−i32−1+i31−i321−i321+i32−1−i31+i321+i322-1-11−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i31+i300-211−1+i321−i3−1+i32−1+i32−1−i321+i3−1−i32−1−i320i3−i30−i3i3−3−i323+i320−3−i323+i3203+i32−3−i323−i32−3+i3203−i32−3+i320−3+i323−i32000000000
χ62222-1-1-1-22-1-1-1−1+i3−1−i3−1+i3−1−i30-211100i3i3i3−i3−i3−i3-12-11−i321−i32−1+i31−i321+i321+i32−1−i31+i32-12-11−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i31+i3001-21−1+i32−1+i321−i3−1+i32−1−i32−1−i321+i3−1−i32−i30i3i30−i3−3−i323+i323+i320−3−i32−3−i3203+i323−i32−3+i32−3+i3203−i323−i320−3+i32000000000
χ63222-1-1-1-22-1-1-1−1+i3−1−i3−1+i3−1−i30-211100i3i3i3−i3−i3−i3-1-121−i321−i321−i32−1+i31+i321+i321+i32−1−i3-1-121−i321−i321−i32−1+i31+i321+i321+i32−1−i31−i31+i30011-2−1+i32−1+i32−1+i321−i3−1−i32−1−i32−1−i321+i3i3−i30−i3i30−3−i323+i32−3−i323+i3203+i32−3−i3203−i32−3+i323−i32−3+i320−3+i323−i320000000000
χ642-222220-2-2-2-222-2-2000000000000022222222222-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000−i2i2−i2i2−i2i2000
χ652-222220-2-2-2-222-2-2000000000000022222222222-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000i2−i2i2−i2i2−i2000
χ662-222220-2-2-2-2−1−i3−1+i31+i31−i30000000000000222−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3-2-2-21+i31+i31+i31+i31−i31−i31−i31−i30000000000000000000000000000000000000−i2i2ζ7+ζ13−ζ7−ζ13ζ5+ζ23−ζ5−ζ23000
χ672-222220-2-2-2-2−1−i3−1+i31+i31−i30000000000000222−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3-2-2-21+i31+i31+i31+i31−i31−i31−i31−i30000000000000000000000000000000000000i2−i2−ζ7−ζ13ζ7+ζ13−ζ5−ζ23ζ5+ζ23000
χ682-222220-2-2-2-2−1+i3−1−i31−i31+i30000000000000222−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3-2-2-21−i31−i31−i31−i31+i31+i31+i31+i30000000000000000000000000000000000000−i2i2ζ5+ζ23−ζ5−ζ23ζ7+ζ13−ζ7−ζ13000
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χ704-444440-4-4-4-444-4-40000000000000-2-2-24-2-2-24-2-2-2222-4222-42220000000000000000000000000000000000000000000000
χ714-444440-4-4-4-4−2−2i3−2+2i32+2i32−2i30000000000000-2-2-2−2−2i31+i31+i31+i3−2+2i31−i31−i31−i32222+2i3−1−i3−1−i3−1−i32−2i3−1+i3−1+i3−1+i30000000000000000000000000000000000000000000000
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χ774-44-2-2-20-4222−2−2i3−2+2i32+2i32−2i30000000000000-24-21+i31+i3−2−2i31+i31−i31−i3−2+2i31−i32-42−1−i3−1−i32+2i3−1−i3−1+i3−1+i32−2i3−1+i30000000000000000000000000000000000000000000000
χ784-44-2-2-20-4222−2−2i3−2+2i32+2i32−2i30000000000000-2-241+i31+i31+i3−2−2i31−i31−i31−i3−2+2i322-4−1−i3−1−i3−1−i32+2i3−1+i3−1+i3−1+i32−2i30000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.