Finite Group Databasebeta

← Group #72265934

Character table — Group #72265934

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111222222444444444444888888888888888888881616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616323232323232323232323232323232326464646464646464
order12222222222222222222222222222222222222444422222244444444444444444444444444444444444444444444444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ7111111111111111111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91111111111111111111111-1-1-1-1-1-1-1-1111111111111111-11-1111111-1-111-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ101111111111111111111111-1-1-1-1-1-1-1-1111111111111111-11-1111111-1-111-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111
χ111111111111111111111111-1-1-1-1-1-1-1-111111111111111-11-111111-1-111-1-111-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ121111111111111111111111-1-1-1-1-1-1-1-111111111111111-11-111111-1-111-1-111-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ131111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1-11-1-1-1-111-1-1-1-111-1-1-1-11-1-11111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ141111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1-11-1-1-1-111-1-1-1-111-1-1-1-11-1-11111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ151111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ161111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ1711111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111-1111-111-1-1111111-1-111-1-1111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−iii−i−iii−i−iii−i−ii−ii−ii−ii−i
χ1811111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111-1111-111-1-1111111-1-111-1-1111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−iii−i−iii−i−iii−i−iii−ii−ii−ii−ii
χ1911111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-1111111111111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i−ii−ii−ii−ii
χ2011111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-1111111111111-1-1-1-1−i−iii−i−iii−i−iii−i−iiii−ii−ii−ii−i
χ2111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1111-11-1-1111111-1-11111-1-111-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−iii−i−i−i−iii−i−iiii−ii−i−ii−ii
χ2211111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1111-11-1-1111111-1-11111-1-111-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1−i−iii−i−iiiii−i−iii−i−i−ii−iii−ii−i
χ2311111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-11-1-11-1-1-111-1-1-1-111-1-111-1-1-1-11-1-1-1-1-1111111111111-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii−ii−iii−ii−i
χ2411111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-11-1-11-1-1-111-1-1-1-111-1-111-1-1-1-11-1-1-1-1-1111111111111-1-1-1-11111−i−iii−i−iiiii−i−iii−i−ii−ii−i−ii−ii
χ2511111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111-11-11111-1-111-1-11111-1-1111-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1ii−i−i−i−iiiii−i−i−i−iiii−i−iii−i−ii
χ2611111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111-11-11111-1-111-1-11111-1-1111-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1−i−iiiii−i−i−i−iiiii−i−i−iii−i−iii−i
χ2711111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111-1-11-1-111-1-1-1-111-1-1-1-1-1-111-11-1-1-1-1-1-111111111-1-1-1-111111111ii−i−i−i−iiiii−i−i−i−iii−iii−i−iii−i
χ2811111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111-1-11-1-111-1-1-1-111-1-1-1-1-1-111-11-1-1-1-1-1-111111111-1-1-1-111111111−i−iiiii−i−i−i−iiiii−i−ii−i−iii−i−ii
χ2911111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-111-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1-1-1-1111111111111ii−i−i−i−iii−i−iiiii−i−ii−i−ii−iii−i
χ3011111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-111-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1-1-1-1111111111111−i−iiiii−i−iii−i−i−i−iii−iii−ii−i−ii
χ3111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-11-1111-1-111-1-1111111-1-111-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i−iii−ii−i−ii
χ3211111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-11-1111-1-111-1-1111111-1-111-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1−i−iiiii−i−iii−i−i−i−iiii−i−ii−iii−i
χ33222222222222222222222222-2-222-2-22222-2-2-2-2-2-2-2-2220000-2-2-2-2000000002-22-2000022-2-222-2-20000000000000000000000000000000000000000
χ34222222222222222222222222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200002222000000002-22-20000-2-222-2-2220000000000000000000000000000000000000000
χ352222222222222222222222-2-222-2-2222222-2-2-2-2-2-2-2-2220000-2-2-2-200000000-22-220000-2-222-2-2220000000000000000000000000000000000000000
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χ3722222222222222-2-2-2-2-2-2-2-222-2-2-2-22222-2-22222-2-2-2-22-20000-2-222000000002-2-22000022-2-2-2-2220000000000000000000000000000000000000000
χ3822222222222222-2-2-2-2-2-2-2-222-2-2-2-222-2-2222222-2-2-2-2-22000022-2-2000000002-2-220000-2-22222-2-20000000000000000000000000000000000000000
χ3922222222222222-2-2-2-2-2-2-2-2-2-22222-2-222-2-22222-2-2-2-22-20000-2-22200000000-222-20000-2-22222-2-20000000000000000000000000000000000000000
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χ452222222222-2-2-2-222-2-222-2-2-2-222-2-2-2-20000-2-222-2-22200002-200000000-2-2222-222002-2000000000000000022-2-2-2-222000000000000000000000000
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χ934-4-4444-4-44-4000000-4-40044004-400-4400000000000000000000000000000000000000000000000000000000000000000000002-2-222-2-2200000000
χ944-4-4444-4-44-4000000-4-40044004-400-440000000000000000000000000000000000000000000000000000000000000000000000-222-2-222-200000000
χ954-4-4444-4-44-4000000-4-4004400-44004-400000000000000000000000000000000000000000000000000000000000000000000002-2-22-222-200000000
χ964-4-4444-4-44-4000000-4-4004400-44004-40000000000000000000000000000000000000000000000000000000000000000000000-222-22-2-2200000000
χ974-4-444-44-4-4400004400-4-4004-4004-400000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000
χ984-4-444-44-4-4400004400-4-4004-4004-40000000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ994-4-444-44-4-4400004400-4-400-4400-4400000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ1004-4-444-44-4-4400004400-4-400-4400-440000000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ1014-4-444-44-4-440000-4-40044004-400-4400000000000000000000000000000000000000000000000000000000000000002-2-222-2-220000000000000000
χ1024-4-444-44-4-440000-4-40044004-400-440000000000000000000000000000000000000000000000000000000000000000-222-2-222-20000000000000000
χ1034-4-444-44-4-440000-4-4004400-44004-400000000000000000000000000000000000000000000000000000000000000002-2-22-222-20000000000000000
χ1044-4-444-44-4-440000-4-4004400-44004-40000000000000000000000000000000000000000000000000000000000000000-222-22-2-220000000000000000
χ10588888-8-88-8-88-88-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10688888-8-88-8-8-88-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1078888-888-8-8-88-8-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1088888-888-8-8-8-888-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-88-88-8800008-800-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-88-88-880000-88008-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-8-8888-80000008-800-880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-8-88-8-8888-8000000-88008-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1131616-16-1600000000000000000000000000008-80000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1141616-16-160000000000000000000000000000-880000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11516-1616-16000000000000000000000000008-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11616-1616-1600000000000000000000000000-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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