Finite Group Databasebeta

← Group #72271092

Character table — Group #72271092

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111122222222222222444444444444444444446666666688888888888888888888888888121212121212121212121212161616161616161616161616161616161616161624242424242424242424242432323232484848484848
order1222222222222236662244444444666666666644444444222244444444666612121212121212121212222222224444444444666121212121212121212121222224444444412121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111111111111111-1-1-1-1111-1-1-1-11-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111
χ31111111111111111111111111111111111111111111111-1-11-11-1-1-11-11-111-1-1-1-11111111111111111111111-1-1-1-1-11-11-1-11-11-1-1-1-1-1-1-11-11-1-1-11-11-111-1-111-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-11-11-1-1-11-1111-1-1-1-111111111111111111111-1-111-1-1-1-11-11-1-11-11-1-1-1-1-1-1-11-11-1-1-11-11-1-111-1-111-1-1
χ511111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-1-11111-1-11111-1-11111-1-1-1-11111-1-1
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-11-1-1-11-11-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-11-1-11-11-1-1-1-1-111-11-1111-11-1111-1-1-1-11111
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11-11-1-1-11-1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-11-1-11-11-1-1-1-1111-11-1111-11-1-1-11111-1-111
χ911111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1
χ1011111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1
χ1111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-11-11-1-1-11-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-11-11-1-11-11-11111-1-11-11-1-1-11-11-1-1-111-1-11111
χ1211111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-11-11-1-1-11-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11-11-1-11-111111-1-1-11-11-1-1-11-1111-1-111-1-111
χ1311111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ1411111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111
χ1511111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-11-1-1-11-11-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-11-11-1-11-11-1111111-11-1111-11-11-1-11111-1-1-1-1
χ1611111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-11-11-1-1-11-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-11-11-1-11-111111111-11-1111-11-111-1-1-1-111-1-1
χ1711111-1-1-1-1111111111-1-11111-1-1-1-11-1-1-1-1111111111-1-1-1-11-111-1-11-111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-11-11-11-1-111-1-1-111-1-111-1-11-11-1-111-11-1-111-11-11-11-11-1
χ1811111-1-1-1-1111111111-1-11111-1-1-1-11-1-1-1-1111111111-1-1-1-11-1-1-1111-1-1-111-1-111111111-1-1-1-11111-1-1-1-111-1-1-11-111-1-1-1-111-1-1-11111-1-11-1-111-11-1-111-1-11-11-11-111-1
χ1911111-1-1-1-1111111111-1-11111-1-1-1-11-1-1-1-1111111111-1-1-1-1-111-1-11-111-1-11-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11-1-11-1111-1-1111-1-11-1-111-1111-1-1-1111-1-11-1-111-1-11-11
χ2011111-1-1-1-1111111111-1-11111-1-1-1-11-1-1-1-1111111111-1-1-1-1-11-111-1-11-111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-111-1-111-111-11-111-1-1-111-11-1-111-11-1-111-111-1-111-1-11
χ2111111-1-1-1-1111111111-1-11111-1-1-1-11-1-1-1-111111-1-1-1-111111-111-1-11-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1111-11-11-1-111-1-1-111-1-111-1-1-11-111-1-11-111-11-11-1-11-11-11
χ2211111-1-1-1-1111111111-1-11111-1-1-1-11-1-1-1-111111-1-1-1-111111-1-1-1111-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-111-11-111-1-1-1-111-1-1-11111-1-1-111-1-11-111-1-11-11-111-11-1-11
χ2311111-1-1-1-1111111111-1-11111-1-1-1-11-1-1-1-111111-1-1-1-11111-111-1-11-111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111-1-11-1111-1-1111-1-11-1-1111-1-1-1111-1-1-1111-1-11-111-11-1
χ2411111-1-1-1-1111111111-1-11111-1-1-1-11-1-1-1-111111-1-1-1-11111-11-111-1-11-111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-111-1-111-111-11-111-1-1-1111-111-1-11-111-1-1-111-11-1-111-1
χ2511111-1-1-1-1111111111-1-1-1-1-1-111111-1-1-1-1111111111-1-1-1-11-111-1-11-111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-11-11-11-111-1-1-111-1-1-1-1111-11-1-111-11-1-11-11-11-11-11-11
χ2611111-1-1-1-1111111111-1-1-1-1-1-111111-1-1-1-1111111111-1-1-1-11-1-1-1111-1-1-111-1-11111-1-1-1-11111-1-1-1-1111111-1-11-11-1-11-1-1-111-1-1-111-1-1111-1-111-11-1-111-11-11-11-11-1-11
χ2711111-1-1-1-1111111111-1-1-1-1-1-111111-1-1-1-1111111111-1-1-1-1-111-1-11-111-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-111-11-111-1-1111-1-1111-1-1-1111-1-1-1111-1-1-111-1-111-11-1
χ2811111-1-1-1-1111111111-1-1-1-1-1-111111-1-1-1-1111111111-1-1-1-1-11-111-1-11-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11-1-111-11-111-11-111-111-1-1-11-1-111-11-1-1111-1-111-1-111-1
χ2911111-1-1-1-1111111111-1-1-1-1-1-111111-1-1-1-111111-1-1-1-111111-111-1-11-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-11-11-11-111-1-1-111-1-1-1-111-11-111-1-11-111-1-11-111-11-11-1
χ3011111-1-1-1-1111111111-1-1-1-1-1-111111-1-1-1-111111-1-1-1-111111-1-1-1111-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1111-11-1-11-1-1-111-1-1-111-1-111-111-1-11-111-1-111-11-1-11-111-1
χ3111111-1-1-1-1111111111-1-1-1-1-1-111111-1-1-1-111111-1-1-1-11111-111-1-11-111-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-111-11-111-1-1111-1-1111-1-11-1-1-1111-1-1-111-111-11-1-11-11
χ3211111-1-1-1-1111111111-1-1-1-1-1-111111-1-1-1-111111-1-1-1-11111-11-111-1-11-111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111-1-111-11-111-11-111-111-1-11-111-1-11-111-1-11-1-11-111-1-11
χ3322222222222222-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-100000000222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-1000000
χ3422222222222222-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-10000000022-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-222-11111-11111-1-1-1-10000000000001111000000
χ3522222222222222-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-100000000-2-22-22-2-2-22-22-2-1-11111-1-1-1-1-1-1-1-100000000000022-2-2-2-21-11-111-11-111111000000000000-1-111000000
χ3622222222222222-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-100000000-2-2-22-22-2-2-22-22-1-11111-1-1-1-1-1-1-1-1000000000000-2-222-2-211-11-111-11-1111100000000000011-1-1000000
χ3722222222222222-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-100000000222222222222-1-1-1-1-1-111111111000000000000-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-111110000000000001111000000
χ3822222222222222-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-10000000022-2-2-2-222-2-2-2-2-1-1-1-1-1-1111111110000000000002222-2-2-11111-111111111000000000000-1-1-1-1000000
χ3922222222222222-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-100000000-2-22-22-2-2-22-22-2-1-1111111111111000000000000-2-222221-11-111-11-11-1-1-1-100000000000011-1-1000000
χ4022222222222222-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-100000000-2-2-22-22-2-2-22-22-1-111111111111100000000000022-2-22211-11-111-11-1-1-1-1-1000000000000-1-111000000
χ41222222222-2-2-2-222222-2-20000000022222-2-2-2-2222-2-222-2-2220000-2-20000-2-222-2-200000000000000002-22-200000020000-200000000220000-2-200000000000000
χ42222222222-2-2-2-222222-2-20000000022222-2-2-2-2222-2-222-2-2-2-20000220000-2-2-2-22200000000000000002-22-2000000-20000200000000-2-200002200000000000000
χ43222222222-2-2-2-222222-2-20000000022222-2-2-2-22-2-222-2-222220000-2-20000-2-222-2-20000000000000000-22-2200000020000-200000000-2-200002200000000000000
χ44222222222-2-2-2-222222-2-20000000022222-2-2-2-22-2-222-2-222-2-20000220000-2-2-2-2220000000000000000-22-22000000-20000200000000220000-2-200000000000000
χ4522222-2-2-2-222222-1-1-1-1-2-22222-2-2-2-2-11111-1-1-1-1-1000000002-222-2-22-222-2-211-1-1-1-1-1-1-1-111110000000000002-22-22-21-1-1111-1-111-1-111000000000000-11-11000000
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χ4922222-2-2-2-222222-1-1-1-1-2-2-2-2-2-22222-11111-1-1-1-1-1000000002-222-2-22-222-2-211-1-1-1-11111-1-1-1-1000000000000-22-22-221-1-1111-1-11111-1-10000000000001-11-1000000
χ5022222-2-2-2-222222-1-1-1-1-2-2-2-2-2-22222-11111-1-1-1-1-1000000002-2-2-2222-2-2-22211-1-1-1-11111-1-1-1-10000000000002-22-2-22111-1-1111-1-111-1-1000000000000-11-11000000
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χ712222-2-2-222-2-222-222222-200000000-2-2-222-2-222-2-2-222222200202000-20-202-2000000000000000000002-2-2-2000000020200-20-20000000-20-200020200000000000
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Here i is the imaginary unit (i² = −1).