Finite Group Databasebeta

← Group #11817804

Character table — Group #11817804

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order122222223366666666666666223446666666121212124444266666666666666661212121212124444444444121212121212121244444412121212121212121212121244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-111111111-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111111111111111111111111-1-11111111-1-1-1-11111-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-111-1
χ6111111111111111111111111111-1-11111111-1-1-1-11111-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1111111-1-111-1-11
χ7111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-1-1-11111-1-11
χ8111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-11111-1-111-1-111-1
χ9111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-11-111-1-1-1-111-1-1-1-1-1-1111
χ10111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1
χ11111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1
χ12111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-11111-1-1111
χ13111111111111111111111111-1-11-1-11111111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1111111-1
χ14111111111111111111111111-1-11-1-11111111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-111-1-111-1-111-1-1-1-11
χ15111111111111111111111111-1-11-1-11111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-111111111-1-111-1-111-1-111-1-1-1-1-1-11
χ16111111111111111111111111-1-11-1-11111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11-1-1-111-1-11111-1-11111-1
χ17222222222-1222-1-1-1222-1-1-1-1222-122-1-1-1-1-1-1-122220000222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1002200222200000000000020-1-1-1-1-1-1-1-1000000000
χ18222222222-1222-1-1-1222-1-1-1-1222-122-1-1-1-1-1-1-122220000222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2-2-2000000000000-2011111111000000000
χ19222222222-1222-1-1-1222-1-1-1-1222-1-2-2-1-1-1-1-1-1-1-2-2-2-20000-222-1-1-2-211-1-1-1-1111111111100220022-2-2000000000000-20-1-1-1-11111000000000
χ20222222222-1222-1-1-1222-1-1-1-1222-1-2-2-1-1-1-1-1-1-1-2-2-2-20000-222-1-1-2-211-1-1-1-1111111111100-2-200-2-222000000000000201111-1-1-1-1000000000
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χ2522222222-12-1-1-1222-1-1-12222-122-122-1-1-1-1-1-1-1-1-1-1-122222-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-12200220000-1-1-1-1-1-1-1-100000200000000-1-1-1-100000
χ2622222222-12-1-1-1222-1-1-12222-122-122-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-2-200-2-200001111111100000-200000000111100000
χ2722222222-12-1-1-1222-1-1-12222-122-1-2-2-1-1-1-1-1-1-111112222-2-1-12211-2-2-1-1-1-11111-2-21111-2-200220000-1-1-1-1111100000-200000000-1-11100000
χ2822222222-12-1-1-1222-1-1-12222-122-1-2-2-1-1-1-1-1-1-11111-2-2-2-2-2-1-12211-2-2-1-1-1-11111-2-211112200-2-200001111-1-1-1-10000020000000011-1-100000
χ2922222222-12-1-1-1222-1-1-12222-1-2-2-122-1-1-1-1-1-1-1-1-1-1-12222-211-2-211-2-21111111122-1-1-1-12200-2-20000-1-1-1-1-1-1-1-100000-200000000111100000
χ3022222222-12-1-1-1222-1-1-12222-1-2-2-122-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-211-2-211-2-21111111122-1-1-1-1-2-2002200001111111100000200000000-1-1-1-100000
χ3122222222-12-1-1-1222-1-1-12222-1-2-2-1-2-2-1-1-1-1-1-1-111112222211-2-2-1-1221111-1-1-1-1-2-21111-2-200-2-20000-1-1-1-111110000020000000011-1-100000
χ3222222222-12-1-1-1222-1-1-12222-1-2-2-1-2-2-1-1-1-1-1-1-11111-2-2-2-2211-2-2-1-1221111-1-1-1-1-2-2111122002200001111-1-1-1-100000-200000000-1-11100000
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χ954-4-44-444-4-2422-2-4-44-2224-4-44-200-20022-222-2-2−2i32i32i3−2i300000000000000000000000−2i32i32i3−2i300000000000000000000000000000000000000000
χ964-4-44-444-4-2422-2-4-44-2224-4-44-200-20022-222-2-22i3−2i3−2i32i3000000000000000000000002i3−2i3−2i32i300000000000000000000000000000000000000000
χ974-4-44-444-4-2-222-222-2-222-222-2-200100-1-11-1-111−2i32i32i3−2i300000000000−2i32i3-333-3i3−i3−i3i300i3−i3−i3i300000000000000000000000000000000000000000
χ984-4-44-444-4-2-222-222-2-222-222-2-200100-1-11-1-111−2i32i32i3−2i3000000000002i3−2i33-3-33−i3i3i3−i300i3−i3−i3i300000000000000000000000000000000000000000
χ994-4-44-444-4-2-222-222-2-222-222-2-200100-1-11-1-1112i3−2i3−2i32i300000000000−2i32i33-3-33i3−i3−i3i300−i3i3i3−i300000000000000000000000000000000000000000
χ1004-4-44-444-4-2-222-222-2-222-222-2-200100-1-11-1-1112i3−2i3−2i32i3000000000002i3−2i3-333-3−i3i3i3−i300−i3i3i3−i300000000000000000000000000000000000000000
χ1014-4-4-44-4444-2-44-4222-4-44-2-2-22400-20022-2-2-2220000000000000000000000000000000004-400000000000000000000-22000000000000000
χ1024-4-4-44-4444-2-44-4222-4-44-2-2-22400-20022-2-2-222000000000000000000000000000000000-44000000000000000000002-2000000000000000
χ1034-4-4-44-444-242-22-4-4-422-2444-4-200-20022-2-2-22200004-4-44000000000000000000000000000000000-222-2000000000000000000000000000
χ1044-4-4-44-444-242-22-4-4-422-2444-4-200-20022-2-2-2220000-444-40000000000000000000000000000000002-2-22000000000000000000000000000
χ105888-8-8-88-8-4-4-444-4-444-44-4444-400200222-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-888-8-8-4-4-44-4-44-444-444-444002002-2-2-222-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-88-88-4-44-4-44-4-44-444-444400200-22-22-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-88-888-4-44-4444444-4-4-4-44-400200-2-2222-2-2000000000000000000000000000000000000000000000000000000000000000000000000

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