Finite Group Databasebeta

← Group #72237928

Character table — Group #72237928

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122
size111122222244444444888888888888888888888888888888888888888888888816161616161616161616161616161616161616161616161616161616161616161616161616163232323232323232646464646464646464646464
order12222222222222222222222222222222222222222222444444444444444444442222444444444444444444444444444444444424444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111
χ5111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-111
χ6111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1
χ7111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1
χ8111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ91111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-11111-1-1111111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ101111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111
χ121111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1
χ131111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1
χ141111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111
χ151111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ161111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ171111-1-1-1-1111-1-111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1111-11-11-11-11-11-11-11-111-1-11-111-1-11-1111-1-1-111-1-111-1-111-1-11-11-11-11-11-11-1
χ181111-1-1-1-1111-1-111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1111-11-11-11-11-11-11-11-111-1-11-111-1-11-1111-1-1-111-1-1-1-111-1-111-11-11-11-11-11-11
χ191111-1-1-1-1111-1-111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-111-1-111-1-1-1-111-1-111111-1-111-11-1-11-11-111-111-1-11-1-1-111-11-1-1-1111-1-11111-1-1-1-1111-1-111-1-111-1-11
χ201111-1-1-1-1111-1-111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-111-1-111-1-1-1-111-1-111111-1-111-11-1-11-11-111-111-1-11-1-1-111-11-1-1-1111-1-111-1-11111-1-1-111-1-111-1-111-1
χ211111-1-1-1-1111-1-111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-111-1-11-111-11-1-111-1-1-111-1111-1-11-1-1-1-1111-1-11111-1-1-1-1111-1-11-111-1-111-1
χ221111-1-1-1-1111-1-111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-111-1-11-111-11-1-111-1-1-111-1111-1-11-1-1-1-1111-1-111-1-11111-1-1-111-11-1-111-1-11
χ231111-1-1-1-1111-1-111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-111-1-1-1-111-1-11111-1-111-11-11-11-11-11-111-11-1-1-111-11-1-111-11111-1-1-111-1-111-1-111-1-11-11-1-11-11-11-11
χ241111-1-1-1-1111-1-111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-111-1-1-1-111-1-11111-1-111-11-11-11-11-11-111-11-1-1-111-11-1-111-11111-1-1-111-1-1-1-111-1-111-11-111-11-11-11-1
χ251111-1-1-1-1111-1-111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-111-11-111-1-111-1-11-11-1111-1-1-1111-1-1-11111-1-1-1-1-11111-1-111-1-1-11-111-11-1-11-11
χ261111-1-1-1-1111-1-111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-111-11-111-1-111-1-11-11-1111-1-1-1111-1-1-11111-1-1-1-1-111-1-111-1-1111-11-1-11-111-11-1
χ271111-1-1-1-1111-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-11111-111-11-1-11-111-11-1-1111-1-1-11-1-1111-1-1-1-111111-1-111-1-1-1-111-111-11-1-11-111-1
χ281111-1-1-1-1111-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-11111-111-11-1-11-111-11-1-1111-1-1-11-1-1111-1-1-1-111111-1-1-1-11111-1-11-1-11-111-11-1-11
χ291111-1-1-1-1111-1-111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-111-1-1-1-11111-1-1-1-111-1-111111-1-11-111-11-1-111-1-11-1-1111-111-1-1-11-1-1-111111-1-111-1-1-1-111-111-1-111-11-1-11
χ301111-1-1-1-1111-1-111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-111-1-1-1-11111-1-1-1-111-1-111111-1-11-111-11-1-111-1-11-1-1111-111-1-1-11-1-1-111111-1-1-1-11111-1-11-1-111-1-11-111-1
χ311111-1-1-1-1111-1-111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-1-1-11111-1-111-1-111-1-1111-11-1-111-1-111-1-11-11-1-1111-1-1-1111-1111-1-1-1-1-11111-1-111-1-1-11-11-11-111-11-1
χ321111-1-1-1-1111-1-111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-1-1-11111-1-111-1-111-1-1111-11-1-111-1-111-1-11-11-1-1111-1-1-1111-1111-1-1-1-1-111-1-111-1-1111-11-11-11-1-11-11
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χ852222-2-2-2-222-222-2-222-22-2-2222-2-2-2-222000022-2-200002-22-222-2-20000-2-2220000-22002-20000-22-2200-22000000-222-22-2000000000000000000000000000000
χ862222-2-2-2-222-222-2-222-22-2-2222-2-2-2-2220000-2-22200002-22-222-2-2000022-2-20000-2200-2200002-22-200-220000002-2-22-22000000000000000000000000000000
χ872222-2-2-2-222-222-2-222-22-2-22-2-22222-2-2000022-2-200002-22-2-2-222000022-2-20000-2200-220000-222-2002-2000000-222-2-22000000000000000000000000000000
χ882222-2-2-2-222-222-2-222-22-2-22-2-22222-2-20000-2-22200002-22-2-2-2220000-2-2220000-22002-200002-2-22002-20000002-2-222-2000000000000000000000000000000
χ89444444-4-4-4-444-40000-400000000000000000000000000000000000000004i−4i4i−4i00000000000000000000000000000000000000002-22-22i−2i2i−2i000000000000
χ90444444-4-4-4-444-40000-400000000000000000000000000000000000000004i−4i4i−4i0000000000000000000000000000000000000000-22-22−2i2i−2i2i000000000000
χ91444444-4-4-4-444-40000-40000000000000000000000000000000000000000−4i4i−4i4i00000000000000000000000000000000000000002-22-2−2i2i−2i2i000000000000
χ92444444-4-4-4-444-40000-40000000000000000000000000000000000000000−4i4i−4i4i0000000000000000000000000000000000000000-22-222i−2i2i−2i000000000000
χ934444-4-444-4-44-440000-400000000000000000000000000000000000000004i−4i−4i4i00000000000000000000000000000000000000002-2-222i−2i−2i2i000000000000
χ944444-4-444-4-44-440000-400000000000000000000000000000000000000004i−4i−4i4i0000000000000000000000000000000000000000-222-2−2i2i2i−2i000000000000
χ954444-4-444-4-44-440000-40000000000000000000000000000000000000000−4i4i4i−4i00000000000000000000000000000000000000002-2-22−2i2i2i−2i000000000000
χ964444-4-444-4-44-440000-40000000000000000000000000000000000000000−4i4i4i−4i0000000000000000000000000000000000000000-222-22i−2i−2i2i000000000000
χ97888888-8-8-8-8-8-880000800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ988888-8-888-8-8-88-80000800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-800008-8000008-800000000000000000000000000000008-8000000000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-800008-8000008-80000000000000000000000000000000-88000000000000000000000000000000000000000000000000000000000000000000000000
χ10188-8-800008-800000-88000000000000000000000000000008-800000000000000000000000000000000000000000000000000000000000000000000000000
χ10288-8-800008-800000-8800000000000000000000000000000-8800000000000000000000000000000000000000000000000000000000000000000000000000
χ10388-8-80000-880008-800000000000000000000000008-800000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10488-8-80000-880008-80000000000000000000000000-8800000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-80000-88000-88000000000000000000000008-80000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-80000-88000-8800000000000000000000000-880000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8008-800000000000000004-4004-400004-44-400000000000000004-44-40000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8008-800000000000000004-4004-40000-44-440000000000000000-44-440000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8008-80000000000000000-4400-4400004-44-40000000000000000-44-440000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8008-80000000000000000-4400-440000-44-4400000000000000004-44-40000000000000000000000000000000000000000000000000000000000000000
χ1118-88-800-8800000000000000004-400-4400004-4-4400000000000000004-4-440000000000000000000000000000000000000000000000000000000000000000
χ1128-88-800-8800000000000000004-400-440000-444-40000000000000000-444-40000000000000000000000000000000000000000000000000000000000000000
χ1138-88-800-880000000000000000-44004-400004-4-440000000000000000-444-40000000000000000000000000000000000000000000000000000000000000000
χ1148-88-800-880000000000000000-44004-40000-444-400000000000000004-4-440000000000000000000000000000000000000000000000000000000000000000
χ1158-8-888-800000000000000004-4004-4004-44-400000000000000004-44-400000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-888-800000000000000004-4004-400-44-440000000000000000-44-4400000000000000000000000000000000000000000000000000000000000000000000
χ1178-8-888-80000000000000000-4400-44004-44-40000000000000000-44-4400000000000000000000000000000000000000000000000000000000000000000000
χ1188-8-888-80000000000000000-4400-4400-44-4400000000000000004-44-400000000000000000000000000000000000000000000000000000000000000000000
χ1198-8-88-8800000000000000004-400-44004-4-4400000000000000004-4-4400000000000000000000000000000000000000000000000000000000000000000000
χ1208-8-88-8800000000000000004-400-4400-444-40000000000000000-444-400000000000000000000000000000000000000000000000000000000000000000000
χ1218-8-88-880000000000000000-44004-4004-4-440000000000000000-444-400000000000000000000000000000000000000000000000000000000000000000000
χ1228-8-88-880000000000000000-44004-400-444-400000000000000004-4-4400000000000000000000000000000000000000000000000000000000000000000000

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