Finite Group Databasebeta

← Group #72253393

Character table — Group #72253393

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
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χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
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χ31111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ51111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1111111-1-111-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1
χ911111111111111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-1111111-1-1111111-1-1-1-1-1-1
χ1011111111111111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1111111
χ1111111111111111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-111-1-11111
χ1211111111111111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1111111-1-1111111-1-111-1-1-1-1
χ1311111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-1-1-111-1-111
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χ10888-8-800000000000000-4-44i3−4i34i3−4i344000000000000000000−4i4i00000000−4ζ114ζ11−4ζ74ζ700000000000000000000000000000000000000000000000000000000
χ1098-88-8000000000000008-80000-8800000000000000004-40000004-44-4000000000000000000000000000000000000000000000000000000000000
χ1108-88-8000000000000008-80000-880000000000000000-44000000-44-44000000000000000000000000000000000000000000000000000000000000
χ1118-88-800000000000000-44−4i34i34i3−4i34-400000000000000004-4000000−2+2i32−2i3−2−2i32+2i3000000000000000000000000000000000000000000000000000000000000
χ1128-88-800000000000000-44−4i34i34i3−4i34-40000000000000000-440000002−2i3−2+2i32+2i3−2−2i3000000000000000000000000000000000000000000000000000000000000
χ1138-88-800000000000000-444i3−4i3−4i34i34-400000000000000004-4000000−2−2i32+2i3−2+2i32−2i3000000000000000000000000000000000000000000000000000000000000
χ1148-88-800000000000000-444i3−4i3−4i34i34-40000000000000000-440000002+2i3−2−2i32−2i3−2+2i3000000000000000000000000000000000000000000000000000000000000

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