Finite Group Databasebeta

← Group #72238855

Character table — Group #72238855

Order 12288.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152
size11333333333344666666666666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212124848484848484848484848484848484896969696969696969696969696969696969696969696969610241024102410241024102410241024
order12224444444422222244444444444422444444444444444444444444444444444444444444444444444444444444444444444444888888888888888844444444888888888888888833666666
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ433333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
χ53333333333333333333333333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-13333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
χ63333333333333333333333333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-133333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
χ73333333333333333333333333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-133333333-1-1-1-1-1-1-1-100000000
χ83333333333333333333333333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-13333333300000000
χ93333-1-1-1-1-1-1-1-133-1-1-1-13333-1-1-1-1-1-1-1-1-1-133-1-1-1-1-1-111111111111111111111111111111111−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i11111111−1+2i−1+2i−1+2i−1+2i−1−2i−1−2i−1−2i−1−2i3-13-1-1-1-1-11111−1+2i−1+2i−1−2i−1−2i1111−1+2i−1+2i−1−2i−1−2i00000000
χ103333-1-1-1-1-1-1-1-133-1-1-1-13333-1-1-1-1-1-1-1-1-1-133-1-1-1-1-1-111111111111111111111111111111111−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i11111111−1−2i−1−2i−1−2i−1−2i−1+2i−1+2i−1+2i−1+2i-13-13-1-1-1-1−1+2i−1+2i−1−2i−1−2i1111−1+2i−1+2i−1−2i−1−2i111100000000
χ113333-1-1-1-1-1-1-1-133-1-1-1-13333-1-1-1-1-1-1-1-1-1-133-1-1-1-1-1-111111111111111111111111111111111−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1+2i−1+2i−1+2i−1+2i−1−2i−1−2i−1−2i−1−2i11111111-1-1-1-133-1-11111−1−2i−1−2i−1+2i−1+2i−1−2i−1−2i−1+2i−1+2i111100000000
χ123333-1-1-1-1-1-1-1-133-1-1-1-13333-1-1-1-1-1-1-1-1-1-133-1-1-1-1-1-111111111111111111111111111111111−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1+2i−1+2i−1+2i−1+2i11111111-1-1-1-1-1-133−1−2i−1−2i−1+2i−1+2i11111111−1−2i−1−2i−1+2i−1+2i00000000
χ133333-1-1-1-1-1-1-1-133-1-1-1-13333-1-1-1-1-1-1-1-1-1-133-1-1-1-1-1-111111111111111111111111111111111−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i11111111−1+2i−1+2i−1+2i−1+2i−1−2i−1−2i−1−2i−1−2i-13-13-1-1-1-1−1−2i−1−2i−1+2i−1+2i1111−1−2i−1−2i−1+2i−1+2i111100000000
χ143333-1-1-1-1-1-1-1-133-1-1-1-13333-1-1-1-1-1-1-1-1-1-133-1-1-1-1-1-111111111111111111111111111111111−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i11111111−1−2i−1−2i−1−2i−1−2i−1+2i−1+2i−1+2i−1+2i3-13-1-1-1-1-11111−1−2i−1−2i−1+2i−1+2i1111−1−2i−1−2i−1+2i−1+2i00000000
χ153333-1-1-1-1-1-1-1-133-1-1-1-13333-1-1-1-1-1-1-1-1-1-133-1-1-1-1-1-111111111111111111111111111111111−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1−2i−1−2i−1−2i−1−2i11111111-1-1-1-1-1-133−1+2i−1+2i−1−2i−1−2i11111111−1+2i−1+2i−1−2i−1−2i00000000
χ163333-1-1-1-1-1-1-1-133-1-1-1-13333-1-1-1-1-1-1-1-1-1-133-1-1-1-1-1-111111111111111111111111111111111−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1−2i−1−2i−1−2i−1−2i−1+2i−1+2i−1+2i−1+2i11111111-1-1-1-133-1-11111−1+2i−1+2i−1−2i−1−2i−1+2i−1+2i−1−2i−1−2i111100000000
χ173333-1-1-1-1-1-1-1-133-1-1-1-13333-1-1-1-1-1-1-1-1-1-133-1-1-1-1-1-1−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i1111111111111111111111111111111111111111−1+2i−1+2i−1+2i−1+2i−1−2i−1−2i−1−2i−1−2i-1-1-1-133-1-1−1+2i−1+2i−1−2i−1−2i11111111−1−2i−1−2i−1+2i−1+2i00000000
χ183333-1-1-1-1-1-1-1-133-1-1-1-13333-1-1-1-1-1-1-1-1-1-133-1-1-1-1-1-1−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i1111111111111111111111111111111111111111−1−2i−1−2i−1−2i−1−2i−1+2i−1+2i−1+2i−1+2i-1-1-1-1-1-1331111−1+2i−1+2i−1−2i−1−2i−1−2i−1−2i−1+2i−1+2i111100000000
χ193333-1-1-1-1-1-1-1-133-1-1-1-13333-1-1-1-1-1-1-1-1-1-133-1-1-1-1-1-1−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i11111111111111111111111111111111−1+2i−1+2i−1+2i−1+2i−1−2i−1−2i−1−2i−1−2i111111113-13-1-1-1-1-1−1−2i−1−2i−1+2i−1+2i1111−1+2i−1+2i−1−2i−1−2i111100000000
χ203333-1-1-1-1-1-1-1-133-1-1-1-13333-1-1-1-1-1-1-1-1-1-133-1-1-1-1-1-1−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i11111111111111111111111111111111−1−2i−1−2i−1−2i−1−2i−1+2i−1+2i−1+2i−1+2i11111111-13-13-1-1-1-11111−1−2i−1−2i−1+2i−1+2i1111−1+2i−1+2i−1−2i−1−2i00000000
χ213333-1-1-1-1-1-1-1-133-1-1-1-13333-1-1-1-1-1-1-1-1-1-133-1-1-1-1-1-1−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i1111111111111111111111111111111111111111−1+2i−1+2i−1+2i−1+2i−1−2i−1−2i−1−2i−1−2i-1-1-1-1-1-1331111−1−2i−1−2i−1+2i−1+2i−1+2i−1+2i−1−2i−1−2i111100000000
χ223333-1-1-1-1-1-1-1-133-1-1-1-13333-1-1-1-1-1-1-1-1-1-133-1-1-1-1-1-1−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i1111111111111111111111111111111111111111−1−2i−1−2i−1−2i−1−2i−1+2i−1+2i−1+2i−1+2i-1-1-1-133-1-1−1−2i−1−2i−1+2i−1+2i11111111−1+2i−1+2i−1−2i−1−2i00000000
χ233333-1-1-1-1-1-1-1-133-1-1-1-13333-1-1-1-1-1-1-1-1-1-133-1-1-1-1-1-1−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i11111111111111111111111111111111−1+2i−1+2i−1+2i−1+2i−1−2i−1−2i−1−2i−1−2i11111111-13-13-1-1-1-11111−1+2i−1+2i−1−2i−1−2i1111−1−2i−1−2i−1+2i−1+2i00000000
χ243333-1-1-1-1-1-1-1-133-1-1-1-13333-1-1-1-1-1-1-1-1-1-133-1-1-1-1-1-1−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i11111111111111111111111111111111−1−2i−1−2i−1−2i−1−2i−1+2i−1+2i−1+2i−1+2i111111113-13-1-1-1-1-1−1+2i−1+2i−1−2i−1−2i1111−1−2i−1−2i−1+2i−1+2i111100000000
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χ26444444444444-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-444444444-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32
χ27444444444444-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-444444444-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32
χ284-44-4-4-4-4-444444-444-4-444-4-444-4-444-4-4-444-444-4-44-40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011-11-1-11-1
χ294-44-4-4-4-4-444444-444-4-444-4-444-4-444-4-4-444-444-4-44-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i32
χ304-44-4-4-4-4-444444-444-4-444-4-444-4-444-4-4-444-444-4-44-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i32
χ314-44-4-4-4-4-44444-44-4-444-4-444-4-444-4-444-444-444-4-4-440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011-1-11-1-11
χ324-44-4-4-4-4-44444-44-4-444-4-444-4-444-4-444-444-444-4-4-4400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i32
χ334-44-4-4-4-4-44444-44-4-444-4-444-4-444-4-444-444-444-4-4-4400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i32
χ34666666666666-6-62222222222222222-2-2-2-2-2-2-2-2-6-622222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222-2-222-2-222-2-222-2-22-2-222-22-2000000000000000000000000
χ35666666666666-6-62222222222222222-2-2-2-2-2-2-2-2-6-622222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-222-2-222-2-222-2-222-222-2-22-22000000000000000000000000
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χ15012-12-444−8i4+8i-4-4−4+8i−4−8i4400-444-44-4-44−4i4i−4i4i4i−4i4i−4i0000000000−2i−4+2i2i4−2i2i4−2i−2i−4+2i4+2i−2i−4−2i2i−4−2i2i4+2i−2i2i−4−2i4+2i−2i−2i4+2i−4−2i2i4−2i2i−2i−4+2i−4+2i−2i2i4−2i2−2+4i-22−4i-22−4i2−2+4i2−4i-2−2+4i2−2+4i22−4i-2-22+4i2−2−4i2−2−4i-22+4i2+4i-2−2−4i2−2−4i22+4i-2000000000000000000000000000000000000000000000000
χ15112-12-444−8i4+8i-4-4−4+8i−4−8i4400-444-44-4-44−4i4i−4i4i4i−4i4i−4i00000000004−2i2i−4+2i−2i−4+2i−2i4−2i2i−4−2i2i4+2i−2i4+2i−2i−4−2i2i4+2i−2i2i−4−2i−4−2i2i−2i4+2i−4+2i−2i2i4−2i4−2i2i−2i−4+2i2−4i-2−2+4i2−2+4i22−4i-2−2+4i22−4i-22−4i-2−2+4i2−2−4i22+4i-22+4i-2−2−4i2−2−4i22+4i-22+4i-2−2−4i2000000000000000000000000000000000000000000000000
χ15212-12-444−8i4+8i-4-4−4+8i−4−8i4400-444-44-4-44−4i4i−4i4i4i−4i4i−4i0000000000−4+2i−2i4−2i2i4−2i2i−4+2i−2i−2i4+2i2i−4−2i2i−4−2i−2i4+2i−4−2i2i−2i4+2i4+2i−2i2i−4−2i2i4−2i−4+2i−2i−2i−4+2i4−2i2i−2+4i22−4i-22−4i-2−2+4i2-22−4i2−2+4i2−2+4i-22−4i2+4i-2−2−4i2−2−4i22+4i-2-22+4i2−2−4i2−2−4i-22+4i000000000000000000000000000000000000000000000000

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