Finite Group Databasebeta

← Group #11792627

Character table — Group #11792627

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111111112222222222222222222222222222222222224444444444444444444444444444444444444444444444444444888888888888888888888888888888888888363636363636363672727272
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χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-1
χ9222222222222-2-2-2-2222222222222222222222222222222-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000
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χ17222222222-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1-2-222-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111100000000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i30000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3000000000000
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χ2522222222-12-1-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-12-1-1-2-2221111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111110000−i3−i3i3i300−i3−i3i3i300−i3−i3i3i3i3i3−i3−i300i3i3−i3−i300i3i3−i3−i3000000000000
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χ44222-22-2-2-22222000022-2-222-2-222-2-222-2-22-22-22-22-2-2-2-2-2002-2000000000000000022-2-222-2-222-2-222-2-20000000000000000000000000000000000000000000000000000−2−222−2−2220000
χ45222-22-2-2-22222000022-2-222-2-222-2-222-2-22-22-22-22-2-2-2-2-200-220000000000000000-2-222-2-222-2-222-2-222000000000000000000000000000000000000000000000000000022−2−2−2−2220000
χ46222-22-2-2-22222000022-2-222-2-222-2-222-2-22-22-22-22-2-2-2-2-200-220000000000000000-2-222-2-222-2-222-2-2220000000000000000000000000000000000000000000000000000−2−22222−2−20000
χ4722-22-22-2-2222200002-22-22-22-22-22-22-22-2-22-22-22-22-2-2-2-22-20022-2-222-2-222-2-222-2-2000000000000000000000000000000000000000000000000000000000000000000002−22−22−22−20000
χ4822-22-22-2-2222200002-22-22-22-22-22-22-22-2-22-22-22-22-2-2-2-22-20022-2-222-2-222-2-222-2-200000000000000000000000000000000000000000000000000000000000000000000−22−22−22−220000
χ4922-22-22-2-2222200002-22-22-22-22-22-22-22-2-22-22-22-22-2-2-2-2-2200-2-222-2-222-2-222-2-222000000000000000000000000000000000000000000000000000000000000000000002−22−2−22−220000
χ5022-22-22-2-2222200002-22-22-22-22-22-22-22-2-22-22-22-22-2-2-2-2-2200-2-222-2-222-2-222-2-22200000000000000000000000000000000000000000000000000000000000000000000−22−222−22−20000
χ5122-2-2-2-22222222-22-22-2-222-2-222-2-222-2-22-2-2-2-2-2-2-2-2222200000000000000000000000000000000000022-2-222-2-222-2-222-2-200000000000000000000000000000000000000002-2-220000
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χ552-222-2-2-22222222-2-2-222-2-222-2-222-2-222-2-2-2-2-2-2-2-2-222220000000000000000000000000000000000002-22-22-22-22-22-22-22-2000000000000000000000000000000000000000000002i−2i00
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χ1224-444-4-4-44-24-2-2-4-4442-2-22-444-42-2-222-2-2222-4-42222-24-2-20000000000000000000000000000000000002-22-2-44-442-22-22-22-2000000000000000000000000000000000000000000000000
χ1234-444-4-4-44-2-24-244-4-42-2-222-2-22-444-42-2-222222-4-422-2-24-2000000000000000000000000000000000000-22-22-22-224-44-4-22-22000000000000000000000000000000000000000000000000
χ1244-444-4-4-44-2-24-2-4-4442-2-222-2-22-444-42-2-222222-4-422-2-24-20000000000000000000000000000000000002-22-22-22-2-44-442-22-2000000000000000000000000000000000000000000000000
χ1254-444-4-4-44-2-2-2444-4-42-2-222-2-222-2-22-444-4222222-4-4-2-2-24000000000000000000000000000000000000-22-22-22-22-22-224-44-4000000000000000000000000000000000000000000000000
χ1264-444-4-4-44-2-2-24-4-4442-2-222-2-222-2-22-444-4222222-4-4-2-2-240000000000000000000000000000000000002-22-22-22-22-22-2-44-44000000000000000000000000000000000000000000000000
χ1274-44-4-444-444440000-44-44-44-44-44-44-44-44-44-44-44-44-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1284-44-4-444-44-2-2-20000-44-442-22-22-22-22-22-2-442-22-22-2-422200000000−2i32i32i3−2i3−2i32i32i3−2i3−2i32i32i3−2i300000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1294-44-4-444-44-2-2-20000-44-442-22-22-22-22-22-2-442-22-22-2-4222000000002i3−2i3−2i32i32i3−2i3−2i32i32i3−2i3−2i32i300000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1304-44-4-444-4-24-2-200002-22-2-44-442-22-22-22-22-2-442-22-22-4220000−2i32i32i3−2i30000−2i32i32i3−2i32i3−2i3−2i32i300000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1314-44-4-444-4-24-2-200002-22-2-44-442-22-22-22-22-2-442-22-22-42200002i3−2i3−2i32i300002i3−2i3−2i32i3−2i32i32i3−2i300000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1324-44-4-444-4-2-24-200002-22-22-22-2-44-442-22-22-22-2-442-222-420000−2i32i32i3−2i32i3−2i3−2i32i30000−2i32i32i3−2i300000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1334-44-4-444-4-2-24-200002-22-22-22-2-44-442-22-22-22-2-442-222-4200002i3−2i3−2i32i3−2i32i32i3−2i300002i3−2i3−2i32i300000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1344-44-4-444-4-2-2-2400002-22-22-22-22-22-2-44-442-22-22-2-44222-40000−2i32i32i3−2i3−2i32i32i3−2i32i3−2i3−2i32i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1354-44-4-444-4-2-2-2400002-22-22-22-22-22-2-44-442-22-22-2-44222-400002i3−2i3−2i32i32i3−2i3−2i32i3−2i32i32i3−2i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1364-4-444-44-444440000-4-444-4-444-4-444-4-4444-44-44-44-4-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1374-4-444-44-44-2-2-20000-4-44422-2-222-2-222-2-24-4-22-22-22-4222000000000000000000000000−2i32i32i3−2i3−2i32i32i3−2i3−2i32i32i3−2i30000000000000000000000000000000000000000000000000000000000000000
χ1384-4-444-44-44-2-2-20000-4-44422-2-222-2-222-2-24-4-22-22-22-42220000000000000000000000002i3−2i3−2i32i32i3−2i3−2i32i32i3−2i3−2i32i30000000000000000000000000000000000000000000000000000000000000000
χ1394-4-444-44-4-24-2-2000022-2-2-4-44422-2-222-2-2-224-4-22-222-42200000000000000000000−2i32i32i3−2i30000−2i32i32i3−2i32i3−2i3−2i32i30000000000000000000000000000000000000000000000000000000000000000
χ1404-4-444-44-4-24-2-2000022-2-2-4-44422-2-222-2-2-224-4-22-222-422000000000000000000002i3−2i3−2i32i300002i3−2i3−2i32i3−2i32i32i3−2i30000000000000000000000000000000000000000000000000000000000000000
χ1414-4-444-44-4-2-24-2000022-2-222-2-2-4-44422-2-2-22-224-4-2222-4200000000000000000000−2i32i32i3−2i32i3−2i3−2i32i30000−2i32i32i3−2i30000000000000000000000000000000000000000000000000000000000000000
χ1424-4-444-44-4-2-24-2000022-2-222-2-2-4-44422-2-2-22-224-4-2222-42000000000000000000002i3−2i3−2i32i3−2i32i32i3−2i300002i3−2i3−2i32i30000000000000000000000000000000000000000000000000000000000000000
χ1434-4-444-44-4-2-2-24000022-2-222-2-222-2-2-4-444-22-22-224-4222-400000000000000000000−2i32i32i3−2i3−2i32i32i3−2i32i3−2i3−2i32i300000000000000000000000000000000000000000000000000000000000000000000
χ1444-4-444-44-4-2-2-24000022-2-222-2-222-2-2-4-444-22-22-224-4222-4000000000000000000002i3−2i3−2i32i32i3−2i3−2i32i3−2i32i32i3−2i300000000000000000000000000000000000000000000000000000000000000000000

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