Finite Group Databasebeta

← Group #11808895

Character table — Group #11808895

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size11111111222222222222222222222222222222224444444444444488888888888888888888888888888888888888888888888888888888999999993636363636363636363636363636
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χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
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χ6111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
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χ774444-4-4-4-44-2-2-2444-4-4-4-4-2-2-22222-2-2-22222-2-2-222220000000000004i−4i0000000000000000000000000000000000000000000000004i−4i−2i2i−2i2i−2i2i0000000000000000000000
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χ8944-4-444-4-4-2-24-2-222-2-222-222-2-2224-4-444-4-4-222-2-222000000004i−4i000000000000000000000000000000000000−2i2i−2i2i4i−4i−2i2i00000000000000000000000000000000000000
χ9044-4-444-4-4-2-24-2-222-2-222-222-2-2224-4-444-4-4-222-2-22200000000−4i4i0000000000000000000000000000000000002i−2i2i−2i−4i4i2i−2i00000000000000000000000000000000000000
χ9144-4-444-4-4-2-2-24-222-2-222-222-2-222-222-2-2224-4-444-4-4000000004i−4i000000000000000000000000000000000000−2i2i−2i2i−2i2i4i−4i00000000000000000000000000000000000000
χ9244-4-444-4-4-2-2-24-222-2-222-222-2-222-222-2-2224-4-444-4-400000000−4i4i0000000000000000000000000000000000002i−2i2i−2i2i−2i−4i4i00000000000000000000000000000000000000
χ9344-4-4-4-4444-2-2-24-4-4-4-444-22222-2-2-22222-2-2-22222-2-2004i−4i0000000000000000004i−4i−2i2i−2i2i−2i2i00000000000000000000000000000000000000000000000000000000000000
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χ1044-44-44-44-4-24-2-22-22-22-22-44-44-44-42-22-22-222-22-22-22000000−4i4i0000000000000000000000000000002i−2i−4i4i2i−2i2i−2i0000000000000000000000000000000000000000000000
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χ1064-44-44-44-4-2-24-22-22-22-222-22-22-22-44-44-44-42-22-22-22000000−4i4i0000000000000000000000000000002i−2i2i−2i−4i4i2i−2i0000000000000000000000000000000000000000000000
χ1074-44-44-44-4-2-2-242-22-22-222-22-22-222-22-22-22-44-44-44-40000004i−4i000000000000000000000000000000−2i2i−2i2i−2i2i4i−4i0000000000000000000000000000000000000000000000
χ1084-44-44-44-4-2-2-242-22-22-222-22-22-222-22-22-22-44-44-44-4000000−4i4i0000000000000000000000000000002i−2i2i−2i2i−2i−4i4i0000000000000000000000000000000000000000000000
χ1094-44-4-44-444-2-2-2-44-4-44-442-222-22-22-222-22-22-222-22-200004i−4i0000000000000000000000004i−4i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000000000000000
χ1104-44-4-44-444-2-2-2-44-4-44-442-222-22-22-222-22-22-222-22-20000−4i4i000000000000000000000000−4i4i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000000000000000
χ1114-44-4-44-44-24-2-22-222-22-2-44-4-44-442-222-22-22-222-22-200004i−4i000000000000000000000000−2i2i4i−4i−2i2i−2i2i000000000000000000000000000000000000000000000000000000
χ1124-44-4-44-44-24-2-22-222-22-2-44-4-44-442-222-22-22-222-22-20000−4i4i0000000000000000000000002i−2i−4i4i2i−2i2i−2i000000000000000000000000000000000000000000000000000000
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χ1144-44-4-44-44-2-24-22-222-22-22-222-22-2-44-4-44-442-222-22-20000−4i4i0000000000000000000000002i−2i2i−2i−4i4i2i−2i000000000000000000000000000000000000000000000000000000
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χ1184-4-444-4-444-2-2-2-4-444-4-4422-2-222-222-2-222-222-2-222-2−4i4i000000000000−4i4i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000000000000000000000000000
χ1194-4-444-4-44-24-2-222-2-222-2-4-444-4-4422-2-222-222-2-222-24i−4i000000000000−2i2i4i−4i−2i2i−2i2i0000000000000000000000000000000000000000000000000000000000000000000000
χ1204-4-444-4-44-24-2-222-2-222-2-4-444-4-4422-2-222-222-2-222-2−4i4i0000000000002i−2i−4i4i2i−2i2i−2i0000000000000000000000000000000000000000000000000000000000000000000000
χ1214-4-444-4-44-2-24-222-2-222-222-2-222-2-4-444-4-4422-2-222-24i−4i000000000000−2i2i−2i2i4i−4i−2i2i0000000000000000000000000000000000000000000000000000000000000000000000
χ1224-4-444-4-44-2-24-222-2-222-222-2-222-2-4-444-4-4422-2-222-2−4i4i0000000000002i−2i2i−2i−4i4i2i−2i0000000000000000000000000000000000000000000000000000000000000000000000
χ1234-4-444-4-44-2-2-2422-2-222-222-2-222-222-2-222-2-4-444-4-444i−4i000000000000−2i2i−2i2i−2i2i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000
χ1244-4-444-4-44-2-2-2422-2-222-222-2-222-222-2-222-2-4-444-4-44−4i4i0000000000002i−2i2i−2i2i−2i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000
χ1254-4-44-444-44-2-2-2-4-44-444-422-22-2-2222-22-2-2222-22-2-2200000000004i−4i0000000000000000000000000000000000000000004i−4i−2i2i−2i2i−2i2i000000000000000000000000000000
χ1264-4-44-444-44-2-2-2-4-44-444-422-22-2-2222-22-2-2222-22-2-220000000000−4i4i000000000000000000000000000000000000000000−4i4i2i−2i2i−2i2i−2i000000000000000000000000000000
χ1274-4-44-444-4-24-2-222-22-2-22-4-44-444-422-22-2-2222-22-2-2200000000004i−4i000000000000000000000000000000000000000000−2i2i4i−4i−2i2i−2i2i000000000000000000000000000000
χ1284-4-44-444-4-24-2-222-22-2-22-4-44-444-422-22-2-2222-22-2-220000000000−4i4i0000000000000000000000000000000000000000002i−2i−4i4i2i−2i2i−2i000000000000000000000000000000
χ1294-4-44-444-4-2-24-222-22-2-2222-22-2-22-4-44-444-422-22-2-2200000000004i−4i000000000000000000000000000000000000000000−2i2i−2i2i4i−4i−2i2i000000000000000000000000000000
χ1304-4-44-444-4-2-24-222-22-2-2222-22-2-22-4-44-444-422-22-2-220000000000−4i4i0000000000000000000000000000000000000000002i−2i2i−2i−4i4i2i−2i000000000000000000000000000000
χ1314-4-44-444-4-2-2-2422-22-2-2222-22-2-2222-22-2-22-4-44-444-400000000004i−4i000000000000000000000000000000000000000000−2i2i−2i2i−2i2i4i−4i000000000000000000000000000000
χ1324-4-44-444-4-2-2-2422-22-2-2222-22-2-2222-22-2-22-4-44-444-40000000000−4i4i0000000000000000000000000000000000000000002i−2i2i−2i2i−2i−4i4i000000000000000000000000000000

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