Finite Group Databasebeta

← Group #11817745

Character table — Group #11817745

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444666666668888888888888888888888881212121212121212121212121212121224242424242424242424242424243636363636363636
order122222223366666666666666344666666612121212444444444412121212121212121212121212121212121212121212224444441212121212121212246666121212121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ511111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1
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
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-111
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-11111-1-1
χ91111111111111111111111111-1-11111111-1-1-1-11111-1-1-1-11-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-11-1-11111-1-1-1-111-1-111-1-111
χ101111111111111111111111111-1-11111111-1-1-1-11111-1-1-1-11-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-11-1-1-1-1111111-1-111-1-111-1-1
χ111111111111111111111111111-1-11111111-1-1-1-11111-1-1-1-1-11-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11-11111-1-1-1-111-1-11111-1-1-1-1
χ121111111111111111111111111-1-11111111-1-1-1-11111-1-1-1-1-11-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-111-1-1-1-111-1-111-1-1-1-11111
χ131111111111111111111111111-1-11111111-1-1-1-1-1-1-1-111111-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111-11111-1-1-1-1-1-11111-1-111-1-1
χ141111111111111111111111111-1-11111111-1-1-1-1-1-1-1-111111-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111-111-1-1-1-11111-1-1-1-111-1-111
χ151111111111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-11-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-1-11111-1-111-1-1-1-1-1-11111
χ161111111111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-11-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-11-1-1-1-11111-1-1111111-1-1-1-1
χ17222222222-1222-1-12-1-122-1-1-12-122-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-122-1-100-1-100000000000000
χ18222222222-1222-1-12-1-122-1-1-12-122-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2111122-2-21111-1-1-1-1111100000000-1-1-1-1-1-1-1-1-2-211001100000000000000
χ19222222222-1222-1-12-1-122-1-1-12-122-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000011111111-2-211001100000000000000
χ20222222222-1222-1-12-1-122-1-1-12-122-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2111122-2-21111-1-1-1-11111000000001111111122-1-100-1-100000000000000
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χ2722222222-12-1-1-122-122-1-1222-1-122-1-1-1-1-1-1-1222200000000-2-211-2-2-2-2-1-1111111-1-1-1-1111122-2-222-2-2000000000000-1-100-1-1111100000000
χ2822222222-12-1-1-122-122-1-1222-1-122-1-1-1-1-1-1-1222200000000-2-211-2-2-2-2-1-1111111-1-1-1-11111-2-222-2-222000000000000110011-1-1-1-100000000
χ2922222222-12-1-1-122-122-1-1222-1-1-2-2-1-1-1-1-1-1-1-2-2-2-2000000002-2-1-122-2-21111-1-1-1-11111111122-2-2-2-222000000000000-1-1001111-1-100000000
χ3022222222-12-1-1-122-122-1-1222-1-1-2-2-1-1-1-1-1-1-1-2-2-2-2000000002-2-1-122-2-21111-1-1-1-111111111-2-22222-2-20000000000001100-1-1-1-11100000000
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χ442-222-2-2-2222-22-2-2222-22-22-2-2-22−2i2i-222-2-22-2−2i−2i2i2i−2i2i−2i2i2-22-200000000−2i2i000000−2i−2i2i2i000000000000−2i2i−2i2i2-22-20000000000000000000000
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χ934-44-4-444-4-2-222-222-2-2-2222-22-2100-1-1-11-111−2i32i32i3−2i30000000000−2i32i300000000i3−i3−i3i3i3−i3−i3i33-3-3300000000000000000000000000000000000000
χ944-44-4-444-4-2-222-222-2-2-2222-22-2100-1-1-11-111−2i32i32i3−2i300000000002i3−2i300000000−i3i3i3−i3i3−i3−i3i3-333-300000000000000000000000000000000000000
χ954-44-4-444-4-2-222-222-2-2-2222-22-2100-1-1-11-1112i3−2i3−2i32i30000000000−2i32i300000000i3−i3−i3i3−i3i3i3−i3-333-300000000000000000000000000000000000000
χ964-44-4-444-4-2-222-222-2-2-2222-22-2100-1-1-11-1112i3−2i3−2i32i300000000002i3−2i300000000−i3i3i3−i3−i3i3i3−i33-3-3300000000000000000000000000000000000000
χ974-4-4444-4-44-2-4-442-2-422442-2-2-4-2002-22-2-222000000004i−4i−4i4i000000000000000000000000000000000000−2i2i2i−2i0000000000000000000000
χ984-4-4444-4-44-2-4-442-2-422442-2-2-4-2002-22-2-22200000000−4i4i4i−4i0000000000000000000000000000000000002i−2i−2i2i0000000000000000000000
χ994-4-4444-4-4-2422-2-442-4-4-2-2-4442-2002-22-2-2220000000000000000000000000000000000000000004i−4i00000000000000000000−2i2i00000000
χ1004-4-4444-4-4-2422-2-442-4-4-2-2-4442-2002-22-2-222000000000000000000000000000000000000000000−4i4i000000000000000000002i−2i00000000
χ1014-4-4-44-4444-2-44-422-42-2-44-22-24-20022-22-22-200004-4-44000000000000000000000000000000000000-222-200000000000000000000000000
χ1024-4-4-44-4444-2-44-422-42-2-44-22-24-20022-22-22-20000-444-40000000000000000000000000000000000002-2-2200000000000000000000000000
χ1034-4-4-44-444-242-22-4-42-442-24-44-2-20022-22-22-200000000000000000000000000000000000000004-4000000000000000000-22000000000000
χ1044-4-4-44-444-242-22-4-42-442-24-44-2-20022-22-22-20000000000000000000000000000000000000000-440000000000000000002-2000000000000
χ10588-88-8-88-8-4-4-444-4-444-4-44444-420022-2-2-2-2200000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-88-88-4-4-4-4-4-4444444-4-4442002-222-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-8888-8-8-4-444-44-4444-4-44-4-44200-22-222-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-88-888-4-44-444444-44-4-44-4-4200-2-22-22-2200000000000000000000000000000000000000000000000000000000000000000000000000

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