Finite Group Databasebeta

← Group #72225900

Character table — Group #72225900

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11112222222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444442424242424242424242424242424242432323232323232323232323296969696
order1222223444444446668888888812121212446688888888888888888888121212121212121212122424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424241616161616161616161616161616161622446666121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-111
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-111-1-111-1-1-1-111
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-1-111-1-11111-1-1
χ91111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-11111-1-1-1-1i−ii−i
χ101111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-1-1-11111−ii−ii
χ111111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-11111-1-1-1-1−ii−ii
χ121111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-1-1-11111i−ii−i
χ131111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111iiii−i−i−i−i−i−i−i−iiiii1-1-1111-1-1-1-111i−i−ii
χ141111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111iiii−i−i−i−i−i−i−i−iiiii-111-1-1-11111-1-1−iii−i
χ151111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−i−i−iiiiiiiii−i−i−i−i1-1-1111-1-1-1-111−iii−i
χ161111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−i−i−iiiiiiiii−i−i−i−i-111-1-1-11111-1-1i−i−ii
χ17222222222222222222-2-2-2-2-2-2-2-222222222-2-2-2-22222-2-2-2-22222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-200000000000000000000000000000000
χ18222222222222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22222222200000000000000000000000000000000
χ19222222222-2-2-2-2222222222-2-2-2-22222-2-22222-2-20000000000000000-2-2-2-2-2-2-2-2222222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000000022-2-222-2-20000000000000000
χ20222222222-2-2-2-2222222222-2-2-2-22222-2-22222-2-20000000000000000-2-2-2-2-2-2-2-2222222-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000-2-222-2-2220000000000000000
χ21222222222-2-2-2-222222-2-2-2-222222222-2-222-2-2220000000000000000-2-2-2-2-2-2-2-222-2-2-2-22222-2-2-2-222220000000000000000000000000000000022-2-222-2-2000000000000000000000000
χ22222222222-2-2-2-222222-2-2-2-222222222-2-222-2-2220000000000000000-2-2-2-2-2-2-2-222-2-2-2-22222-2-2-2-2222200000000000000000000000000000000-2-222-2-222000000000000000000000000
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χ272222222-2-2-2-222-2-222200000000-2-2-2-2-2222000022-2-2000022-2-20000-2-222-2-222-2-200000000000000002222-2-2-2-2000000002222-2-2-2-2000000002−2−222−2−222−2−222−2−220000000000000000
χ282222222-2-2-2-222-2-222200000000-2-2-2-2-2222000022-2-2000022-2-20000-2-222-2-222-2-200000000000000002222-2-2-2-2000000002222-2-2-2-200000000−222−2−222−2−222−2−222−20000000000000000
χ292222222-2-2-2-222-2-222200000000-2-2-2-2-22220000-2-2220000-2-2220000-2-222-2-222-2-20000000000000000-2-2-2-2222200000000-2-2-2-22222000000002−2−222−2−22−222−2−222−20000000000000000
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χ32222222-122222222-1-1-122222222-1-1-1-122-1-122222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-2111111110000
χ33222222-122222222-1-1-122222222-1-1-1-122-1-12222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111100000000000000002-22-2-1-111-1-1110000
χ34222222-122222222-1-1-122222222-1-1-1-122-1-12222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111110000000000000000-22-2211-1-111-1-10000
χ35222222-122222222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-122-1-1-2-2-2-22222-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111100000000000000000000−i3i3−i3i3−i3i3−i3i30000
χ36222222-122222222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-122-1-1-2-2-2-22222-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111100000000000000000000i3−i3i3−i3i3−i3i3−i30000
χ37222222-122222222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-122-1-1-2-2-2-2-2-2-2-22222-2-2-2-22222-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-100000000000000000000−i3i3i3−i3−i3i3i3−i30000
χ38222222-122222222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-122-1-1-2-2-2-2-2-2-2-22222-2-2-2-22222-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-100000000000000000000i3−i3−i3i3i3−i3−i3i30000
χ392222-2-222222-2-2-2-2222000000002222-22-2-20000000022-2-20000-2-222-2-22222-2-2-2-20000000000000000000000002222-2-2-2-200000000-2-2-2-22222−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i20000000000000000
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χ1254-4-444-4-24-400004-422-200004-4-44-222-200-22004-4000000000000000000000000-220000-222-20000-222-2i6−i6−i6i6−i6i6i6−i6i6−i6−i6i6−i6i6i6−i6−i6i6i6−i6i6−i6−i6i6−i6i6i6−i6i6−i6−i6i600000000000000000000000000000000
χ1264-4-444-4-24-400004-422-200004-4-44-222-200-22004-4000000000000000000000000-220000-222-20000-222-2−i6i6i6−i6i6−i6−i6i6−i6i6i6−i6i6−i6−i6i6i6−i6−i6i6−i6i6i6−i6i6−i6−i6i6−i6i6i6−i600000000000000000000000000000000
χ1274-4-444-4-24-400004-422-20000-444-4-222-200-2200-44000000000000000000000000-2200002-2-2200002-2-22i6−i6−i6i6−i6i6i6−i6−i6i6i6−i6i6−i6−i6i6−i6i6i6−i6i6−i6−i6i6i6−i6−i6i6−i6i6i6−i600000000000000000000000000000000
χ1284-4-444-4-24-400004-422-20000-444-4-222-200-2200-44000000000000000000000000-2200002-2-2200002-2-22−i6i6i6−i6i6−i6−i6i6i6−i6−i6i6−i6i6i6−i6i6−i6−i6i6−i6i6i6−i6−i6i6i6−i6i6−i6−i6i600000000000000000000000000000000
χ1294-4-444-4-2-440000-4422-24-4-4400002-2-2200-224-4000000000000000000000000002-22-2-220000-222-20000i6−i6−i6i6i6−i6−i6i6−i6i6i6−i6−i6i6i6−i6−i6i6i6−i6−i6i6i6−i6i6−i6−i6i6i6−i6−i6i600000000000000000000000000000000
χ1304-4-444-4-2-440000-4422-24-4-4400002-2-2200-224-4000000000000000000000000002-22-2-220000-222-20000−i6i6i6−i6−i6i6i6−i6i6−i6−i6i6i6−i6−i6i6i6−i6−i6i6i6−i6−i6i6−i6i6i6−i6−i6i6i6−i600000000000000000000000000000000
χ1314-4-444-4-2-440000-4422-2-444-400002-2-2200-22-44000000000000000000000000002-2-222-200002-2-220000i6−i6−i6i6i6−i6−i6i6i6−i6−i6i6i6−i6−i6i6−i6i6i6−i6−i6i6i6−i6−i6i6i6−i6−i6i6i6−i600000000000000000000000000000000
χ1324-4-444-4-2-440000-4422-2-444-400002-2-2200-22-44000000000000000000000000002-2-222-200002-2-220000−i6i6i6−i6−i6i6i6−i6−i6i6i6−i6−i6i6i6−i6i6−i6−i6i6i6−i6−i6i6i6−i6−i6i6i6−i6−i6i600000000000000000000000000000000
χ1334-4-44-4444-40000-44-4-444-4-4400004-4-4400-44-4400000000000000000000000000-444-4-4400004-4-4400000000000000000000000000000000000000000000000000000000000000000000
χ1344-4-44-4444-40000-44-4-44-444-400004-4-4400-444-400000000000000000000000000-44-444-40000-444-400000000000000000000000000000000000000000000000000000000000000000000
χ1354-4-44-444-4400004-4-4-4400004-4-44-444-400-4400-440000000000000000000000004-40000-444-400004-4-440000000000000000000000000000000000000000000000000000000000000000
χ1364-4-44-444-4400004-4-4-440000-444-4-444-400-44004-40000000000000000000000004-400004-4-440000-444-40000000000000000000000000000000000000000000000000000000000000000
χ1374-4-44-44-24-40000-4422-24-4-440000-222-2002-2-44000000000000000000000000002-2-222-20000-222-20000i6−i6−i6i6i6−i6−i6i6i6−i6−i6i6i6−i6−i6i6i6−i6−i6i6i6−i6−i6i6i6−i6−i6i6i6−i6−i6i600000000000000000000000000000000
χ1384-4-44-44-24-40000-4422-24-4-440000-222-2002-2-44000000000000000000000000002-2-222-20000-222-20000−i6i6i6−i6−i6i6i6−i6−i6i6i6−i6−i6i6i6−i6−i6i6i6−i6−i6i6i6−i6−i6i6i6−i6−i6i6i6−i600000000000000000000000000000000
χ1394-4-44-44-24-40000-4422-2-444-40000-222-2002-24-4000000000000000000000000002-22-2-2200002-2-220000i6−i6−i6i6i6−i6−i6i6−i6i6i6−i6−i6i6i6−i6i6−i6−i6i6i6−i6−i6i6−i6i6i6−i6−i6i6i6−i600000000000000000000000000000000
χ1404-4-44-44-24-40000-4422-2-444-40000-222-2002-24-4000000000000000000000000002-22-2-2200002-2-220000−i6i6i6−i6−i6i6i6−i6i6−i6−i6i6i6−i6−i6i6−i6i6i6−i6−i6i6i6−i6i6−i6−i6i6i6−i6−i6i600000000000000000000000000000000
χ1414-4-44-44-2-4400004-422-200004-4-442-2-22002-200-44000000000000000000000000-2200002-2-220000-222-2i6−i6−i6i6−i6i6i6−i6−i6i6i6−i6i6−i6−i6i6i6−i6−i6i6−i6i6i6−i6−i6i6i6−i6i6−i6−i6i600000000000000000000000000000000
χ1424-4-44-44-2-4400004-422-200004-4-442-2-22002-200-44000000000000000000000000-2200002-2-220000-222-2−i6i6i6−i6i6−i6−i6i6i6−i6−i6i6−i6i6i6−i6−i6i6i6−i6i6−i6−i6i6i6−i6−i6i6−i6i6i6−i600000000000000000000000000000000
χ1434-4-44-44-2-4400004-422-20000-444-42-2-22002-2004-4000000000000000000000000-220000-222-200002-2-22i6−i6−i6i6−i6i6i6−i6i6−i6−i6i6−i6i6i6−i6i6−i6−i6i6−i6i6i6−i6i6−i6−i6i6−i6i6i6−i600000000000000000000000000000000
χ1444-4-44-44-2-4400004-422-20000-444-42-2-22002-2004-4000000000000000000000000-220000-222-200002-2-22−i6i6i6−i6i6−i6−i6i6−i6i6i6−i6i6−i6−i6i6−i6i6i6−i6i6−i6−i6i6−i6i6i6−i6i6−i6−i6i600000000000000000000000000000000

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