Finite Group Databasebeta

← Group #11787746

Character table — Group #11787746

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222222222224444444444444444444444888888888888888888881212121212121212121212122424242424242424242424242424242424243636363636363636
order12222233444466666666663444466666666612121212121212121212121212121212121212121212121212121212444412121212121212122266668888242424242424242422444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-1
χ611111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-111
χ711111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111-1-111
χ811111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111111-1-111-1-1
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χ101-11-11-1111-11-1-111-111-1-1-1-11ii−i−i1-111-1-1-11-1111-1-1-11-1iiii−i−i−i−i11-1-1iiii−i−i−i−iii−i−iiiii−i−i−i−i1-111-1-1−ii-11−i−iii-1-111-11−ii-11−ii
χ111-11-11-1111-11-1-111-111-1-1-1-11ii−i−i1-111-1-1-11-1111-1-1-11-1iiii−i−i−i−i11-1-1iiii−i−i−i−i−i−iii−i−i−i−iiiii-11-1-111i−i1-1ii−i−i11-1-1-11−ii-11−ii
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χ914-4-4400440000-400-4-4-44400400000000-400-4400000000000000000000000000002-2-222-22-2-22-2200000000000000000000000000
χ924-4-4400440000-400-4-4-44400400000000-400-440000000000000000000000000000-222-2-22-222-22-200000000000000000000000000
χ934-4-44004-20000-4−2i32i32-424-22i3−2i3-2000000−2i32i322i3−2i32-200000000000000000000000000002-2-22−1+i31−i3−1−i31+i31−i3−1+i31+i3−1−i300000000000000000000000000
χ944-4-44004-20000-4−2i32i32-424-22i3−2i3-2000000−2i32i322i3−2i32-20000000000000000000000000000-222-21−i3−1+i31+i3−1−i3−1+i31−i3−1−i31+i300000000000000000000000000
χ954-4-44004-20000-42i3−2i32-424-2−2i32i3-20000002i3−2i32−2i32i32-200000000000000000000000000002-2-22−1−i31+i3−1+i31−i31+i3−1−i31−i3−1+i300000000000000000000000000
χ964-4-44004-20000-42i3−2i32-424-2−2i32i3-20000002i3−2i32−2i32i32-20000000000000000000000000000-222-21+i3−1−i31−i3−1+i3−1−i31+i3−1+i31−i300000000000000000000000000
χ9788-8-800-480000-40084-84-800-400000000-40044000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-800-4-40000-4−4i34i3-44444−4i34i320000002i3−2i322i3−2i3-2-2000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-800-4-40000-44i3−4i3-444444i3−4i32000000−2i32i32−2i32i3-2-2000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-8800-480000400-84-8-4800-4000000004004-4000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-400004−4i34i3444-4-44i3−4i320000002i3−2i3-2−2i32i3-22000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-4000044i3−4i3444-4-4−4i34i32000000−2i32i3-22i3−2i3-22000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.