Finite Group Databasebeta

← Group #72254905

Character table — Group #72254905

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
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order12222222223444444446666666222266666666666612121212121212122222222244666666666666666612121212244466888812121212121224242424242424244444888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ611111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111
χ711111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-111
χ811111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-1
χ911111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-11111-1-1
χ1011111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-111
χ1111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1111111-1-111-1-111-1-1-1-111
χ1211111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-111-1-11111-1-1
χ1311111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-11111
χ1411111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1-11111-1-11111-1-11111-1-1-1-1
χ1511111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-11111-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1
χ1611111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111
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χ1822222222222-2-2-2-2-2-2-2-222222222222222222222222-2-2-2-2-2-2-2-200000000-2-20000000000000000-2-2-2-20000000000000000000000000000000000−2i2i00−2i2i
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χ212222222222-122222222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
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χ272222222222-122222222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1-2-2-2-22222-2-211111111-1-1-1-1-1-1-1-1111122-2-2-1-1-2-2221111-1-11111-1-1-1-10000000000000000
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χ774444444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-24444-2-2-2-2-2-2-2-2-2-2-2-22222222200000000-4-4000000000000000022220000000000000000000000000000000000000000
χ784444444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-2-4-4-4-4-2-2-2-2222222222222222200000000440000000000000000-2-2-2-20000000000000000000000000000000000000000
χ7944444-4-4-44-44-44-4444-4-444444440000-4-4-4-400000000-4-44444-4-40000000000000000000000000000000000000000000000000000000000000000000000
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χ824444-44-4-4-44444-4-4-44-4444-4-4-4-44000044-4-400000000-44-4-444-440000000000000000000000000000000000000000000000000000000000000000000000
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χ904444-4-444-4-4-24-4-444-4-44-2-22222-2000022-2-2000000002-2-2-2222-20000000000000000002i3−2i32i3−2i3−2i32i3−2i32i300000000000000000000000000000000000000000000
χ914444-4-444-4-4-2-444-4-444-4-2-22222-2000022-2-200000000-2222-2-2-220000000000−2i3−2i32i32i32i32i3−2i3−2i30000000000000000000000000000000000000000000000000000
χ924444-4-444-4-4-2-444-4-444-4-2-22222-2000022-2-200000000-2222-2-2-2200000000002i32i3−2i3−2i3−2i3−2i32i32i30000000000000000000000000000000000000000000000000000
χ9344-4-4444-4-4-44-4-44-444-44-4-444-4-4400004-44-4000000004-4-44-44-440000000000000000000000000000000000000000000000000000000000000000000000
χ9444-4-4444-4-4-4-244-44-4-44-422-2-222-20000-22-22000000002-2-22-22-224-44-4000000-22-22-22-220000000000000000000000000000000000000000000000000000
χ9544-4-4444-4-4-4-244-44-4-44-422-2-222-20000-22-22000000002-2-22-22-22-44-440000002-22-22-22-20000000000000000000000000000000000000000000000000000
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χ9844-4-44-4-44-4444-4-4-4444-4-4-444-4-440000-44-4400000000-44-44-444-40000000000000000000000000000000000000000000000000000000000000000000000
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χ10144-4-44-4-44-44-24-4-4-4444-422-2-222-200002-22-2000000002-22-22-2-2200000000002i3−2i32i3−2i3−2i32i3−2i32i30000000000000000000000000000000000000000000000000000
χ10244-4-44-4-44-44-2-4444-4-4-4422-2-222-200002-22-200000000-22-22-222-2000000000000000000−2i32i32i3−2i32i3−2i3−2i32i300000000000000000000000000000000000000000000
χ10344-4-44-4-44-44-2-4444-4-4-4422-2-222-200002-22-200000000-22-22-222-20000000000000000002i3−2i3−2i32i3−2i32i32i3−2i300000000000000000000000000000000000000000000
χ10444-4-4-44-444-4-2444-44-4-4-42222-2-2-244-4-4-222-2-2-222-2-222-2-22-2-2222000000004-40000000000000000-22-220000000000000000000000000000000000000000
χ10544-4-4-44-444-4-2444-44-4-4-42222-2-2-2-4-444-222-222-2-222-2-2-2-22-2-222200000000-4400000000000000002-22-20000000000000000000000000000000000000000
χ10644-4-4-4-44-44444-444-44-4-4-4-4-4-44440000-444-400000000444-4-44-4-40000000000000000000000000000000000000000000000000000000000000000000000
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χ10844-4-4-4-44-444-24-444-44-4-42222-2-2-200002-2-222i32i3−2i3−2i3−2i3−2i32i32i3-2-2-222-222000000000000000000000000002i3−2i3−2i32i30000000000000000000000000000000000000000
χ1098-88-80000008000000008-80000-84-44-400004-44-44-44-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-80000008000000008-80000-8-44-440000-44-44-44-44000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-8000000-400000000-44−4i34i3−4i34i344-44-40000−2−2i32+2i3−2−2i32+2i3−2+2i32−2i3−2+2i32−2i3000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8000000-400000000-44−4i34i3−4i34i34-44-4400002+2i3−2−2i32+2i3−2−2i32−2i3−2+2i32−2i3−2+2i3000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8000000-400000000-444i3−4i34i3−4i344-44-40000−2+2i32−2i3−2+2i32−2i3−2−2i32+2i3−2−2i32+2i3000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8000000-400000000-444i3−4i34i3−4i34-44-4400002−2i3−2+2i32−2i3−2+2i32+2i3−2−2i32+2i3−2−2i3000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-8-88000000800000000-880000-84-4-4400004-4-444-4-44000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88000000800000000-880000-8-444-40000-444-4-444-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1178-8-88000000-4000000004-4−4i34i34i3−4i344-4-440000−2+2i32−2i32−2i3−2+2i3−2−2i32+2i32+2i3−2−2i3000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-8-88000000-4000000004-4−4i34i34i3−4i34-444-400002−2i3−2+2i3−2+2i32−2i32+2i3−2−2i3−2−2i32+2i3000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-8-88000000-4000000004-44i3−4i3−4i34i344-4-440000−2−2i32+2i32+2i3−2−2i3−2+2i32−2i32−2i3−2+2i3000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-8-88000000-4000000004-44i3−4i3−4i34i34-444-400002+2i3−2−2i3−2−2i32+2i32−2i3−2+2i3−2+2i32−2i3000000000000000000000000000000000000000000000000000000000000000000000000000000

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