Finite Group Databasebeta

← Group #72313453

Character table — Group #72313453

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122
size11112222224444444444444444888888888888888888888888888888161616161616161616161616161616161616161616161616161616161616161616161616161616163232323232323232323232323232323232326464646464646464
order12222244442222224444444444222222222244444444444444444444222222222222444444444444444488888888888822444444888888888844448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-111111-1-11-1-111111-1-1-1-1111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1-1-11111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11-1-11-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91111111111111111111-1-1-1-1111-1-11111111111111111111111-1-1-1-1111111111111-1-1-111-11111-1-1-11111-11111-1-1-1-1-1-1-1-1-1-11-1-1-11-1-1-111-1-1-1-1-1-111-1-111-1-1
χ101111111111111111111-1-1-1-1111-1-11111111111111111111111-1-1-1-11111111111-1-111-111-111-1-111-11111-1-1-1-1-11111-1-1-1-1-1-1-11-1-1-11-1-1-1-111-1-1-1-1-1-111-1-111
χ111111111111111111111-1-1-1-1111-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11-1-1-11-11111-1-11111-1-111-1-111
χ121111111111111111111-1-1-1-1111-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-11-1-1-1111-1-111111111-1-111-1-1
χ131111111111111111111-1-1-1-1111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1111-1-1-1-1-111111111-1-1-1-111
χ141111111111111111111-1-1-1-1111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-111-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1111-11-1-111-1-11111-1-11111-1-1
χ151111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-111111111111-1111-111-1-111-1-1-1-1-1-11111-1-1
χ161111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-11111-11111-1-1-1-1111111-1111-111111-1-1-1-1-1-111-1-1-1-111
χ171111111-1-11-1-11111-1-1-111111111111-1-111-1-1-11-1-1-1-111-1-111-1-111-1-11111-1-111-1-1111111-1-11-1-1-1-1-1-111-1-1-111-1-111-1-111-1-11-1-1-11-1111-11-11-111-1-11-11-11-11-1
χ181111111-1-11-1-11111-1-1-111111111111-1-111-1-1-11-1-1-1-111-1-111-1-111-1-11111-1-111-1-1-1-1-1-111-1-11-11111-111-1-1-1-1-111-1-11111-1-11-1111-1-1-11-1-11-1111-1-1-11-11-11-11
χ191111111-1-11-1-11111-1-1-111111111111-1-1-1-111-11-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111111-11-1-11-1-1-1-1-1-1-111-111-1-111-1-1-1-1111-1-1-11-111-111-11-1-1-111-11-11-11-11
χ201111111-1-11-1-11111-1-1-111111111111-1-1-1-111-11-1-1-1-111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-11-11-1-111111-1-1-111-1-1-111-1-111-1-1111-1111-1-1-1-11-11-11-1-1111-11-11-11-1
χ211111111-1-11-1-11111-1-1-1111111111-1-11111-1-1-11-1-1-1-1-1-11111-1-111-1-111-1-111-1-111111111-1-11-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-1-11-1-1-11111-1-11-11-1-1111-11-1-11-11
χ221111111-1-11-1-11111-1-1-1111111111-1-11111-1-1-11-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-1-1-1-111-1-11-11111-1-1-111-111-1-111-1-111-1-1-1111-11-1-11-11-11-1-1-111-11-111-11-1
χ231111111-1-11-1-11111-1-1-1111111111-1-111-1-111-11-1-1-1-1-1-111-1-11111-1-111-1-11111-1-111111-11-1-11-1-1-1-1-111-1-1-1-1-111-1-111-1-111-11-1-1-1111-11-11-1111-1-1-11-111-11-1
χ241111111-1-11-1-11111-1-1-1111111111-1-111-1-111-11-1-1-1-1-1-111-1-11111-1-111-1-11111-1-1-1-1-1-11-11-1-111111-111-1-1-111-1-111-1-1-1-111-1111-11-1-1-111-11-111-1-11-11-1-11-11
χ251111111-1-11-1-11111-1-1-1-1-1-1-1111-1-111-1-111-1-1-11-1-1-1-111-1-111-1-1-1-1111111-1-111-1-111-1-1-11-111-1-1-111111-1-1111-1-1-1-111-1-111-11-11-111-1-111-1-11-1-1111-1-111-1-11
χ261111111-1-11-1-11111-1-1-1-1-1-1-1111-1-111-1-111-1-1-11-1-1-1-111-1-111-1-1-1-1111111-1-111-1-1-1-111-11-111-111-1-1111-1-11-1-11111-1-1-1-111-111-1-11-11-11-111-1-1-111-111-1-111-1
χ271111111-1-11-1-11111-1-1-1-1-1-1-1111-1-111-1-1-1-111-11-1-1-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-111-11-1-1111-1-111111-1-1-1-11111-1-1-11-11-111-11-11-1-1111-1-1-111-1-111-1
χ281111111-1-11-1-11111-1-1-1-1-1-1-1111-1-111-1-1-1-111-11-1-1-1-111-1-1-1-111-1-1111111-1-1-1-111-1-111-1-111-1111-1-11-1-1111-1-11111-1-111-1-1-111-1-11-111-1-111-111-1-11-1-111-1-11
χ291111111-1-11-1-11111-1-1-1-1-1-1-1111-1-1-1-11111-1-1-11-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-11-111-1-1-1111-1-1111-1-11111-1-1-1-1111-1-111-11-1-11-111-111-1-11-1-11-111-1
χ301111111-1-11-1-11111-1-1-1-1-1-1-1111-1-1-1-11111-1-1-11-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-11-111-111-1-11-1-111111-1-1-1-111-1-1111-11-11-1-11-111-1-1111-1-1-111-11-1-11
χ311111111-1-11-1-11111-1-1-1-1-1-1-1111-1-1-1-111-1-111-11-1-1-1-1-1-111-1-111-1-11111-1-11111-1-111-1-1-1-111-11-1-111111-1-11-1-11111-1-111-1-11-1-111-11-11-1-111-1-1-111-111-11-1-11
χ321111111-1-11-1-11111-1-1-1-1-1-1-1111-1-1-1-111-1-111-11-1-1-1-1-1-111-1-111-1-11111-1-11111-1-1-1-111-1-111-1111-1-1111-1-1111-1-1-1-11111-1-11-11-11-1-111-11-1-11-1-1111-1-11-111-1
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χ36222222222222-2-2-2-2222-2-2-2-222222-2-2-2-2000022-2-2-2-2-2-2-2-20000-2-2-2-2-2-2222200000000200200000020000-2000000000000-2-2002200000000000000000000
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χ422222222222-2-2-2-2222220000-22-20022220000-2-2-22-22-2-2-2-200000000-22-22-220000-2-200000000-2-200000000-2-2-2-20000000000200020002200000000000000
χ432222222222-2-2-2-2222220000-22-200-2-2-2-20000-2-2-22-22222200000000-222-22-2000022000000002200000000-2-2-2-20000000000-2000-20002200000000000000
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χ58222222-222-2-2-222222-2-222222-22220000-2-2222-222-2-20000-2-222-2-222-2-2000000000000-22-222-20000-20000-200000000-2-222000000002-20000000000000000
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χ944-4-44-440000004-44-400044-4-4-4044-4000000-44000000000000-4400000000000000000000000000000000000000000000-4400000000000000000000000000
χ954-4-44-440000004-44-4000-4-444-404-440000004-40000000000004-400000000000000000000000000000000000000000000-4400000000000000000000000000
χ964-4-44-440000004-44-4000-4-444-404-44000000-44000000000000-44000000000000000000000000000000000000000000004-400000000000000000000000000
χ974-4-44-44000000-44-4400044-4-4-404-4400004-40000000000004-4000000000000000000000000000000000000000000004-40000000000000000000000000000
χ984-4-44-44000000-44-4400044-4-4-404-440000-44000000000000-4400000000000000000000000000000000000000000000-440000000000000000000000000000
χ994-4-44-44000000-44-44000-4-444-4044-400004-40000000000004-400000000000000000000000000000000000000000000-440000000000000000000000000000
χ1004-4-44-44000000-44-44000-4-444-4044-40000-44000000000000-44000000000000000000000000000000000000000000004-40000000000000000000000000000
χ10188-8-800800-80000000004-44-40000000000000000000000000004-400000000000000000000004i−4i4i−4i00000000000000000000000000000000000000000000
χ10288-8-800800-80000000004-44-40000000000000000000000000004-40000000000000000000000−4i4i−4i4i00000000000000000000000000000000000000000000
χ10388-8-800800-8000000000-44-44000000000000000000000000000-4400000000000000000000004i−4i−4i4i00000000000000000000000000000000000000000000
χ10488-8-800800-8000000000-44-44000000000000000000000000000-440000000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000000
χ10588-8-800-80080000000004-44-4000000000000000000000000000-440000000000004-44-4000000000000000000000000000000000000000000000000000000
χ10688-8-800-80080000000004-44-4000000000000000000000000000-44000000000000-44-44000000000000000000000000000000000000000000000000000000
χ10788-8-800-8008000000000-44-440000000000000000000000000004-40000000000004-4-44000000000000000000000000000000000000000000000000000000
χ10888-8-800-8008000000000-44-440000000000000000000000000004-4000000000000-444-4000000000000000000000000000000000000000000000000000000
χ1098-88-80008-800000000004-4-44000000000000000000000000000004-400000000000000000000000000000022−2222−2222−2222−22000000000000000000000000000000
χ1108-88-80008-800000000004-4-44000000000000000000000000000004-4000000000000000000000000000000−2222−2222−2222−2222000000000000000000000000000000
χ1118-88-80008-80000000000-444-400000000000000000000000000000-4400000000000000000000000000000022−2222−22−2222−2222000000000000000000000000000000
χ1128-88-80008-80000000000-444-400000000000000000000000000000-44000000000000000000000000000000−2222−222222−2222−22000000000000000000000000000000
χ1138-88-8000-8800000000004-4-4400000000000000000000000000000-4400000000000000000000000000000022−22−222222−22−2222000000000000000000000000000000
χ1148-88-8000-8800000000004-4-4400000000000000000000000000000-44000000000000000000000000000000−222222−22−222222−22000000000000000000000000000000
χ1158-88-8000-880000000000-444-4000000000000000000000000000004-400000000000000000000000000000022−22−2222−222222−22000000000000000000000000000000
χ1168-88-8000-880000000000-444-4000000000000000000000000000004-4000000000000000000000000000000−222222−2222−22−2222000000000000000000000000000000
χ1178-8-888-800008-8000000000000000000004-44-40000000000-44-44000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-8-888-800008-800000000000000000000-44-4400000000004-44-4000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-8-888-80000-88000000000000000000004-4-440000000000-444-4000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-8-888-80000-8800000000000000000000-444-400000000004-4-44000000000000000000000000000000000000000000000000000000000000000000000000
χ1218-8-88-880000008-8-88000000080-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-8-88-88000000-888-8000000080-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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