Finite Group Databasebeta

← Group #11787075

Character table — Group #11787075

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222222222224444444444444444444444888888888888888888881212121212121212121212122424242424242424242424242424242424243636363636363636
order122222222233666666666634444666666666666666666666121212121212121212121212121212124444121212121212121244444412121212121212121212121222444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
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
χ511111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111111111-1-1-1-1
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χ914-4-4400000044-4-400-4-440044000000000000-40000-4400000000000000000000002-2-222-22-2-22-2200000000000000000000000000
χ924-4-4400000044-4-400-4-440044000000000000-40000-440000000000000000000000-222-2-22-222-22-200000000000000000000000000
χ934-4-44000000-242-4−2i32i32-442i3−2i3-2-200000000000022i3−2i3−2i32i32-200000000000000000000002-2-22−1−i31+i3−1+i31−i31+i3−1−i31−i3−1+i300000000000000000000000000
χ944-4-44000000-242-4−2i32i32-442i3−2i3-2-200000000000022i3−2i3−2i32i32-20000000000000000000000-222-21+i3−1−i31−i3−1+i3−1−i31+i3−1+i31−i300000000000000000000000000
χ954-4-44000000-242-42i3−2i32-44−2i32i3-2-20000000000002−2i32i32i3−2i32-200000000000000000000002-2-22−1+i31−i3−1−i31+i31−i3−1+i31+i3−1−i300000000000000000000000000
χ964-4-44000000-242-42i3−2i32-44−2i32i3-2-20000000000002−2i32i32i3−2i32-20000000000000000000000-222-21−i3−1+i31+i3−1−i3−1+i31−i3−1−i31+i300000000000000000000000000
χ978-88-80000008-4-84008-4400-8-400000000000040000-44000000000000000000000000000000000000000000000000000000000000
χ988-88-8000000-4-444−4i34i3-4-44−4i34i342000000000000-22i3−2i32i3−2i32-2000000000000000000000000000000000000000000000000000000000000
χ998-88-8000000-4-4444i3−4i3-4-444i3−4i342000000000000-2−2i32i3−2i32i32-2000000000000000000000000000000000000000000000000000000000000
χ1008-8-880000008-4-8400-84-4008-4000000000000400004-4000000000000000000000000000000000000000000000000000000000000
χ1018-8-88000000-4-444−4i34i344-44i3−4i3-42000000000000-2−2i32i32i3−2i3-22000000000000000000000000000000000000000000000000000000000000
χ1028-8-88000000-4-4444i3−4i344-4−4i34i3-42000000000000-22i3−2i3−2i32i3-22000000000000000000000000000000000000000000000000000000000000

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