Finite Group Databasebeta

← Group #11819173

Character table — Group #11819173

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444666666668888888888888888888888881212121212121212121212121212121224242424242424242424242424243636363636363636
order122222223366666666666666344666666612121212222244444412121212121212121212121212121212121212121212444444446666121212124412121212121212121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111
χ511111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
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
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-11111
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1
χ91111111111111111111111111-1-11111111-1-1-1-11111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-1-11111-1-1-1-111-1-11111-1-1
χ101111111111111111111111111-1-11111111-1-1-1-11111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1-1-1-1-1-111111111-1-1-1-111
χ111111111111111111111111111-1-11111111-1-1-1-11111-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1111-1-111-1-111-1-1-1-111-1-111
χ121111111111111111111111111-1-11111111-1-1-1-11111-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-111111-1-111-1-1-1-111-1-111-1-1
χ131111111111111111111111111-1-11111111-1-1-1-1-1-1-1-111111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-11111111-1-1-1-1-1-111-1-1-1-111
χ141111111111111111111111111-1-11111111-1-1-1-1-1-1-1-111111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1111-1-1-1-11111-1-1-1-11111-1-1
χ151111111111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111-1-1-1-1-111-1-1111111-1-111-1-1
χ161111111111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111-1-1-111-1-111-1-111-1-111-1-111
χ17222222222-122-1-1-122-1-12-122-1-122-1-1-1-1-1-1-1-1-1-1-122222222222222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-122-1-100000000-1-100000000
χ18222222222-122-1-1-122-1-12-122-1-122-1-1-1-1-1-1-1-1-1-1-122222222-2-222-2-21111-2-2-1-1-1-11111111100000000-1-1-1-1-1-1-1-1-2-211000000001100000000
χ19222222222-122-1-1-122-1-12-122-1-122-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10000000011111111-2-211000000001100000000
χ20222222222-122-1-1-122-1-12-122-1-122-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-222-2-21111-2-2-1-1-1-111111111000000001111111122-1-100000000-1-100000000
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χ452-22-2-222-222-22-22-2-2-2-22222-2-222i−2i-22-22-22-22i2i−2i−2i2-22-22i−2i−2i2i002i−2i000000002i2i−2i−2i00000000000000002-22-22i−2i−2i2i0000000000000000000000
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χ954-4-44-4-444-242-24-4-42-2-4-4242-24-200-222-222-2000000000000000000000023−230000000023−23−232300000000000000000000000000000000000000
χ964-4-44-4-444-242-24-4-42-2-4-4242-24-200-222-222-20000000000000000000000−232300000000−232323−2300000000000000000000000000000000000000
χ974-4-44-4-444-2-22-2-2222-2222-22-2-21001-1-11-1-11−2i32i32i3−2i300000000000000000023−23i3−i3−i3i3−3i3i3i−3i−333−300000000000000000000000000000000000000
χ984-4-44-4-444-2-22-2-2222-2222-22-2-21001-1-11-1-11−2i32i32i3−2i3000000000000000000−2323i3−i3−i3i33i−3i−3i3i3−3−3300000000000000000000000000000000000000
χ994-4-44-4-444-2-22-2-2222-2222-22-2-21001-1-11-1-112i3−2i3−2i32i300000000000000000023−23−i3i3i3−i33i−3i−3i3i−333−300000000000000000000000000000000000000
χ1004-4-44-4-444-2-22-2-2222-2222-22-2-21001-1-11-1-112i3−2i3−2i32i3000000000000000000−2323−i3i3i3−i3−3i3i3i−3i3−3−3300000000000000000000000000000000000000
χ1014-4-4-444-444-24-4-2-2-2-4-42242-442-200-2-2-2222200004-4-44000000000000000000000000000000000000-222-200000000000000000000000000
χ1024-4-4-444-444-24-4-2-2-2-4-42242-442-200-2-2-222220000-444-40000000000000000000000000000000000002-2-2200000000000000000000000000
χ1034-4-4-444-44-24-2244422-4-4-2-42-2-4-200-2-2-222220000000000000000000000000000000000004i−4i00000000000000000000−2i2i00000000000000
χ1044-4-4-444-44-24-2244422-4-4-2-42-2-4-200-2-2-22222000000000000000000000000000000000000−4i4i000000000000000000002i−2i00000000000000
χ105888-8-8-8-88-4-444-444-44-4-444-4-442002-2-2-222-200000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-88-88-8-8-4-4444-44-4-4-44-4444-4200-22-2-22-2200000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8888-8-8-8-4-4-4444-44-44-444-44-4200-2-22-2-22200000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-888-88-4-4-44-4-4-44444-444-44200222-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000

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