Finite Group Databasebeta

← Group #11819165

Character table — Group #11819165

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444666666668888888888888888888888881212121212121212121212121212121224242424242424242424242424243636363636363636
order122222223366666666666666344666666612121212222244444412121212121212121212121212121212121212121212444444446666121212124412121212121212121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111
χ511111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-11111
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1111111-1-1-1-1
χ91111111111111111111111111-1-11111111-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11-111-1-11111-1-1-1-1-1-11111-1-1
χ101111111111111111111111111-1-11111111-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-111-1-1-1-1-1-1111111-1-1-1-111
χ111111111111111111111111111-1-11111111-1-1-1-11111-1-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-11-1-11111-1-1-1-111-1-111-1-111
χ121111111111111111111111111-1-11111111-1-1-1-11111-1-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-11-1-111-1-11111-1-111-1-111-1-1
χ131111111111111111111111111-1-11111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-1-1111111-1-1-1-111-1-1-1-111
χ141111111111111111111111111-1-11111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-11-1-111-1-1-1-11111-1-11111-1-1
χ151111111111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111-111-1-111-1-1-1-11111-1-111-1-1
χ161111111111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111-111-1-1-1-11111-1-1-1-111-1-111
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χ944-44-4-44-44-2-2222-22-2-2-22222-2-2100-1-1-11-1112i3−2i3−2i32i300000000000000002i3−2i3003-3-33−i3i3i3−i3−i3i3i3−i300000000000000000000000000000000000000
χ954-4-44-444-4-24224-4-4-242-2-2-44-42-24i−4i2-2-222-224i4i−4i−4i00000000000000−2i2i00000000−2i−2i2i2i000000000000000000000000000000000000000000
χ964-4-44-444-4-24224-4-4-242-2-2-44-42-2−4i4i2-2-222-22−4i−4i4i4i000000000000002i−2i000000002i2i−2i−2i000000000000000000000000000000000000000000
χ974-4-44-444-4-2-222-222-2-22-2-22-22214i−4i-111-1-11-1−2i−2i2i2i000000000000−2i32i3−2i2i0023−23i3i3−i3−i3ii−i−i−3−33300000000000000000000000000000000000000
χ984-4-44-444-4-2-222-222-2-22-2-22-22214i−4i-111-1-11-1−2i−2i2i2i0000000000002i3−2i3−2i2i00−2323−i3−i3i3i3ii−i−i33−3−300000000000000000000000000000000000000
χ994-4-44-444-4-2-222-222-2-22-2-22-2221−4i4i-111-1-11-12i2i−2i−2i000000000000−2i32i32i−2i00−2323i3i3−i3−i3−i−iii33−3−300000000000000000000000000000000000000
χ1004-4-44-444-4-2-222-222-2-22-2-22-2221−4i4i-111-1-11-12i2i−2i−2i0000000000002i3−2i32i−2i0023−23−i3−i3i3i3−i−iii−3−33300000000000000000000000000000000000000
χ1014-4-4-44-4444-2-44-2-2-2-42-44-42224-2002-22-2-22200004-4-44000000000000000000000000000000000000-222-200000000000000000000000000
χ1024-4-4-44-4444-2-44-2-2-2-42-44-42224-2002-22-2-2220000-444-40000000000000000000000000000000000002-2-2200000000000000000000000000
χ1034-4-4-44-444-242-24442-42-22-4-4-4-2-2002-22-2-2220000000000000000000000000000000000004i−4i00000000000000000000−2i2i00000000000000
χ1044-4-4-44-444-242-24442-42-22-4-4-4-2-2002-22-2-222000000000000000000000000000000000000−4i4i000000000000000000002i−2i00000000000000
χ105888-8-8-88-8-4-4-44-44444-4-44-44-4420022-2-2-2-2200000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-88-8-8-88-4-4-444-444444-4-4-44-42002-222-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8888-8-8-8-4-44-444-444-44-44-4-44200-2-22-22-2200000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-88-888-4-44-4-4-4-4444-44444-4200-22-222-2-200000000000000000000000000000000000000000000000000000000000000000000000000

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