Finite Group Databasebeta

← Group #72317676

Character table — Group #72317676

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119
size111122222222224444444444448888888888888888888888816161616161616161616161616161616161616161616161616161616161616161616161616161616161616163232323232323232323232323232323232326464646464646464
order12222222222222222222224444222222222222222224444442222222444444444444444444444444444444444444444444444444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1111111-1-111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1111111-1-111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-111-1-1-111111111-1-1-1-11111
χ8111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1111111111111-1-1-1-1
χ9111111111111111111-1-111-1-1111111-1-1-11111111111-1-1-1111-1-1-111-1-1-1-1-1-11111-1-1-1-11111-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-111-1-1-11111-1-1-1-111-1-111-1-1
χ10111111111111111111-1-111-1-1111111-1-1-11111111111-1-1-1111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-111-1-1-111-11111-1-1-1-1-1-111-1-111
χ11111111111111111111-1-111-1-1111111-1-1-11111111111-1-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-111-1-1-1-1-1-1-11111-1-111-1-111
χ12111111111111111111-1-111-1-1111111-1-1-11111111111-1-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1-1-111-1-1-1-1-1111111-1-111-1-1
χ13111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1111-11111-1-1-1-1111111-1-1-1-11111-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-111
χ14111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1111-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111111-1-1-1-11-1-1-1-11111-1-11111-1-1
χ15111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1111-111-1-111-1-111-1-1-1-111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1
χ16111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1111-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111111-1-1-1-111111-1-1-1-111-1-1-1-111
χ1711111-1-1-1-111111-1-1-1-11111-1-1-1-11-1-1-11111111-1-1-1-111-1-1-1-111-1111-11-111-1-111-1-111-1-111-1-1-11-11-111-1-111-1-111-1-111-1-11-11-111-11-1-111-1-111-1-11-11-11-11-1
χ1811111-1-1-1-111111-1-1-1-11111-1-1-1-11-1-1-11111111-1-1-1-111-1-1-1-111-1111-11-111-1-111-1-111-1-1-1-111-11-11-1-1-111-1-11111-1-1-1-111-11-111-11-11-111-1-111-1-1-11-11-11-11
χ1911111-1-1-1-111111-1-1-1-11111-1-1-1-11-1-1-11111111-1-1-1-111-1-1-1-111-111-11-1111-1-1-1-111-1-11111-1-1-1-11-1111-1-111-1-111-1-111-1-11-11-111-11-1-1-1-111-1-111-11-11-11-11
χ2011111-1-1-1-111111-1-1-1-11111-1-1-1-11-1-1-11111111-1-1-1-111-1-1-1-111-111-11-1111-1-1-1-111-1-111-1-111-1-11-11-1-111-1-11111-1-1-1-111-11-111-11-11-1-1-111-1-1111-11-11-11-1
χ2111111-1-1-1-111111-1-1-1-11111-1-1-1-11-1-1-1111-1-1-1-1111111-1-1-1-111-1-1-11-11-1111111-1-111-1-111-1-1-11-11-1-1-11111-1-1-1-111-1-111-111-1-11-1-111-1-111-1-1111-11-1-11-11
χ2211111-1-1-1-111111-1-1-1-11111-1-1-1-11-1-1-1111-1-1-1-1111111-1-1-1-111-1-1-11-11-1111111-1-111-1-1-1-111-11-11-111-1-1-1-111-1-11111-1-11-1-11-1-111-11-1-111-1-111-11-111-11-1
χ2311111-1-1-1-111111-1-1-1-11111-1-1-1-11-1-1-1111-1-1-1-1111111-1-1-1-111-1-1-1-11-111111-1-111-1-11111-1-1-1-11-11-1-11111-1-1-1-111-1-111-111-1-11-1-11111-1-111-1-1-11-111-11-1
χ2411111-1-1-1-111111-1-1-1-11111-1-1-1-11-1-1-1111-1-1-1-1111111-1-1-1-111-1-1-1-11-111111-1-111-1-111-1-111-1-11-1111-1-1-1-111-1-11111-1-11-1-11-1-111-1111-1-111-1-11-11-1-11-11
χ2511111-1-1-1-111111-1-1-1-1-1-11111-1-11-1-1-1-1-1-11111-1-1-1-111111-1111-1-11-1-11-1-11111-1-1-1-11111-1-111-1-11-1-111-1-11111-1-111-1-11-1-11-11-1-11111-1-1-1-1111-1-111-1-11
χ2611111-1-1-1-111111-1-1-1-1-1-11111-1-11-1-1-1-1-1-11111-1-1-1-111111-1111-1-11-1-11-1-11111-1-1-1-111-1-11111-1-1111-1-111-1-111-1-1-1-111-111-1-1-111-1111-1-1-1-111-111-1-111-1
χ2711111-1-1-1-111111-1-1-1-1-1-11111-1-11-1-1-1-1-1-11111-1-1-1-111111-1111-1-1-111-1-1-111-1-11111-1-111-1-11-111-1-1-111-1-11111-1-111-1-11-1-11-11-1-111-1-11111-1-1-111-1-111-1
χ2811111-1-1-1-111111-1-1-1-1-1-11111-1-11-1-1-1-1-1-11111-1-1-1-111111-1111-1-1-111-1-1-111-1-11111-1-1-1-1111-111-111-1-111-1-111-1-1-1-111-111-1-1-111-11-1-11111-1-11-1-111-1-11
χ2911111-1-1-1-111111-1-1-1-1-1-11111-1-11-1-1-1-1-1-1-1-1-1-1111111111-1111111-1-11-1-1-1-111-1-1-1-11111-1-111-1-1111-1-1-1-111-1-111-1-111-11-1111-11-1-1-1-11111-1-11-1-11-111-1
χ3011111-1-1-1-111111-1-1-1-1-1-11111-1-11-1-1-1-1-1-1-1-1-1-1111111111-1111111-1-11-1-1-1-111-1-1-1-111-1-11111-1-11-1-11111-1-1-1-11111-1-11-11-11-11-11-1-1-11111-1-1-111-11-1-11
χ3111111-1-1-1-111111-1-1-1-1-1-11111-1-11-1-1-1-1-1-1-1-1-1-1111111111-111111-111-1-1-1-1-1-1-11111-1-111-1-11-111-111-1-1-1-111-1-111-1-111-11-1111-11-1-111-1-1-1-111-111-11-1-11
χ3211111-1-1-1-111111-1-1-1-1-1-11111-1-11-1-1-1-1-1-1-1-1-1-1111111111-111111-111-1-1-1-1-1-1-11111-1-1-1-1111-111-1-1-11111-1-1-1-11111-1-11-11-11-11-11-111-1-1-1-1111-1-11-111-1
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χ4922222-2-2-2-222222-2-222-2-222222222-2-2-2-2-22222-2-2-2-2-2-22222-2-2-2-2-200002222000000000000-2000000000000-2-2220000000020000-20000000000000000
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χ9444-4-444-44-4000-4000004-4004-40000000002-22-22-22-20000000002-20000002-200000000−2i2i−2i2i00000−2i2i−2i2i−2i2i−2i2i0000−2i2i−2i2i00000000000000000000000000
χ9544-4-444-44-4000-4000004-4004-4000000000-22-22-22-22000000000-22000000-22000000002i−2i2i−2i00000−2i2i−2i2i2i−2i2i−2i0000−2i2i−2i2i00000000000000000000000000
χ9644-4-444-44-4000-4000004-4004-4000000000-22-22-22-22000000000-22000000-2200000000−2i2i−2i2i000002i−2i2i−2i−2i2i−2i2i00002i−2i2i−2i00000000000000000000000000
χ9744-4-444-44-4000-400000-4400-440000000002-22-22-22-2000000000-22000000-22000000002i−2i2i−2i00000−2i2i−2i2i−2i2i−2i2i00002i−2i2i−2i00000000000000000000000000
χ9844-4-444-44-4000-400000-4400-440000000002-22-22-22-2000000000-22000000-2200000000−2i2i−2i2i000002i−2i2i−2i2i−2i2i−2i0000−2i2i−2i2i00000000000000000000000000
χ9944-4-444-44-4000-400000-4400-44000000000-22-22-22-220000000002-20000002-2000000002i−2i2i−2i000002i−2i2i−2i−2i2i−2i2i0000−2i2i−2i2i00000000000000000000000000
χ10044-4-444-44-4000-400000-4400-44000000000-22-22-22-220000000002-20000002-200000000−2i2i−2i2i00000−2i2i−2i2i2i−2i2i−2i00002i−2i2i−2i00000000000000000000000000
χ10144-4-44-44-44000-4000004-400-440000000002-22-2-22-220000000002-2000000-22000000002i−2i−2i2i000002i−2i−2i2i2i−2i−2i2i00002i−2i−2i2i00000000000000000000000000
χ10244-4-44-44-44000-4000004-400-440000000002-22-2-22-220000000002-2000000-2200000000−2i2i2i−2i00000−2i2i2i−2i−2i2i2i−2i0000−2i2i2i−2i00000000000000000000000000
χ10344-4-44-44-44000-4000004-400-44000000000-22-222-22-2000000000-220000002-2000000002i−2i−2i2i00000−2i2i2i−2i2i−2i−2i2i0000−2i2i2i−2i00000000000000000000000000
χ10444-4-44-44-44000-4000004-400-44000000000-22-222-22-2000000000-220000002-200000000−2i2i2i−2i000002i−2i−2i2i−2i2i2i−2i00002i−2i−2i2i00000000000000000000000000
χ10544-4-44-44-44000-400000-44004-40000000002-22-2-22-22000000000-220000002-2000000002i−2i−2i2i00000−2i2i2i−2i−2i2i2i−2i00002i−2i−2i2i00000000000000000000000000
χ10644-4-44-44-44000-400000-44004-40000000002-22-2-22-22000000000-220000002-200000000−2i2i2i−2i000002i−2i−2i2i2i−2i−2i2i0000−2i2i2i−2i00000000000000000000000000
χ10744-4-44-44-44000-400000-44004-4000000000-22-222-22-20000000002-2000000-22000000002i−2i−2i2i000002i−2i−2i2i−2i2i2i−2i0000−2i2i2i−2i00000000000000000000000000
χ10844-4-44-44-44000-400000-44004-4000000000-22-222-22-20000000002-2000000-2200000000−2i2i2i−2i00000−2i2i2i−2i2i−2i−2i2i00002i−2i−2i2i00000000000000000000000000
χ10988-8-8-88-8-880008000000000000000000004-4-444-4-44000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11088-8-8-88-8-88000800000000000000000000-444-4-444-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11188-8-8-8-888-80008000000000000000000004-4-44-444-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-8-888-8000800000000000000000000-444-44-4-44000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-880000000-808008-8008-8008-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-880000000-808008-800-8800-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-8-880000000-80800-88008-800-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-880000000-80800-8800-88008-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11716-1616-160000016-16000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11816-1616-1600000-1616000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11916-16-16160000000160-16000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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