Finite Group Databasebeta

← Group #72310377

Character table — Group #72310377

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122
size11112222222222444444444444444444888888888888888888888888161616161616161616161616161616161616161616161616161616161616323232323232323232323232323232323232323232323232323232323232323264646464
order12222222222222222222222222224444222222222222222244444444222444444444444444444444444444244444444444444488888888888888884444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ51111111111111111111111111111111111111111111-1-1-1-111111-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111111-1-1-1-111111-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ71111111111111111111111111111111111111111111-1-1-1-111111-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ81111111111111111111111111111111111111111111-1-1-1-111111-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111
χ91111111111111111-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-111-1-111-1-111-111-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-1
χ101111111111111111-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-111-1-111-1-111-111-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-111
χ111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-111-1-111-1-111-111-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii11-1-1
χ121111111111111111-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-111-1-111-1-111-111-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-111
χ131111111111111111-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-111-1-1-1-1111-111-11-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-111
χ141111111111111111-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-111-1-1-1-1111-111-11-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i11-1-1
χ151111111111111111-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-111-1-1-1-1111-111-11-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-111
χ161111111111111111-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-111-1-1-1-1111-111-11-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii11-1-1
χ171111111-1-1-1-1111-1-11111-1-1-11111-1-1-1-1-111-1-11111-1-1-111-1-1-1111111-1-1-1-11-1-1111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1-1-1111-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i1-11-1
χ181111111-1-1-1-1111-1-11111-1-1-11111-1-1-1-1-111-1-11111-1-1-111-1-1-1111111-1-1-1-11-1-1111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-111-1-1-111ii−i−iii−i−i−i−iii−i−iii−i−iii−i−iii-11-11
χ191111111-1-1-1-1111-1-11111-1-1-11111-1-1-1-1-111-1-11111-1-1-111-1-1-1111111-1-1-1-11-1-1111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1-1-1111-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii1-11-1
χ201111111-1-1-1-1111-1-11111-1-1-11111-1-1-1-1-111-1-11111-1-1-111-1-1-1111111-1-1-1-11-1-1111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-111-1-1-111−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i-11-11
χ211111111-1-1-1-1111-1-11111-1-1-11111-1-1-1-1-111-1-11111-1-1-1-1-111-11111-1-111-11-1-11-1-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i1-1-1111-1-1−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iii-11-11
χ221111111-1-1-1-1111-1-11111-1-1-11111-1-1-1-1-111-1-11111-1-1-1-1-111-11111-1-111-11-1-11-1-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i-111-1-1-111−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−i1-11-1
χ231111111-1-1-1-1111-1-11111-1-1-11111-1-1-1-1-111-1-11111-1-1-1-1-111-11111-1-111-11-1-11-1-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii1-1-1111-1-1ii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i-11-11
χ241111111-1-1-1-1111-1-11111-1-1-11111-1-1-1-1-111-1-11111-1-1-1-1-111-11111-1-111-11-1-11-1-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii-111-1-1-111ii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii1-11-1
χ251111111-1-1-1-1111-1-1-1-1-1-111111111111111-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-11-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-11
χ261111111-1-1-1-1111-1-1-1-1-1-111111111111111-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-111-111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-111-1
χ271111111-1-1-1-1111-1-1-1-1-1-111111111111111-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-11-1-11-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-11-1-11
χ281111111-1-1-1-1111-1-1-1-1-1-111111111111111-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-111-111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111-111-1
χ291111111-1-1-1-1111-1-1-1-1-1-111111111111111-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1-111-111-1-11111-1-11111-1-1-1-1-1-1-1-111111-1-11-1-111-1-11111-1-111-1-1-1-111-1-11111-1-1-111-1
χ301111111-1-1-1-1111-1-1-1-1-1-111111111111111-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1-111-111-1-11111-1-11111-1-1-1-1-1-1-1-11111-111-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1111-1-11
χ311111111-1-1-1-1111-1-1-1-1-1-111111111111111-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1-111-111-1-11111-1-1-1-1-1-111111111-1-1-1-11-1-11-1-11111-1-1-1-111-1-11111-1-111-1-1-1-111-111-1
χ321111111-1-1-1-1111-1-1-1-1-1-111111111111111-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1-111-111-1-11111-1-1-1-1-1-111111111-1-1-1-1-111-111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-11-1-11
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χ342222222222222222222222222222-2-2-2-2-2-22222-2-22-2-2-2-2222-2-2-2-2-2-222-2-22-2-222222-2-2-2-20000000000000000000000000000000000000000000000000000
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χ402222222222222222-2-2-2-2-2-2-22222-22222-2-222-2-222-222-2-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000000000000000
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χ924-4-444-4-400004-44000000-4-44-4-4444-4-444-4400000044-40000-44-4000000000000000000000000000000000000000000000000000000000000000000000000
χ934-4-44-4-440000-4440044-4-40004-4-440000000004-400000004-40000000-44000000004-400000000000000000000000000000000000000000000000000000000
χ944-4-44-4-440000-4440044-4-40004-4-440000000004-40000000-4400000004-400000000-4400000000000000000000000000000000000000000000000000000000
χ954-4-44-4-440000-4440044-4-4000-444-4000000000-44000004-40000000-440000000000004-4000000000000000000000000000000000000000000000000000000
χ964-4-44-4-440000-4440044-4-4000-444-4000000000-4400000-4400000004-4000000000000-44000000000000000000000000000000000000000000000000000000
χ974-4-44-4-440000-44400-4-4440004-4-44000000000-4400000004-40000000-4400000000-4400000000000000000000000000000000000000000000000000000000
χ984-4-44-4-440000-44400-4-4440004-4-44000000000-440000000-4400000004-4000000004-400000000000000000000000000000000000000000000000000000000
χ994-4-44-4-440000-44400-4-444000-444-40000000004-4000004-40000000-44000000000000-44000000000000000000000000000000000000000000000000000000
χ1004-4-44-4-440000-44400-4-444000-444-40000000004-400000-4400000004-40000000000004-4000000000000000000000000000000000000000000000000000000
χ10188888-8888-8-8-8-8-8-880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10288888-88-8-888-8-8-88-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10388-8-8000008-8000004-44-44-440000-40000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000
χ10488-8-8000008-8000004-44-44-440000-4000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000
χ10588-8-8000008-800000-44-44-44-4000040000000000000000000000000000000000000000002-22-22-22-2-22-22-22-22000000000000000000000000000000000000
χ10688-8-8000008-800000-44-44-44-400004000000000000000000000000000000000000000000-22-22-22-222-22-22-22-2000000000000000000000000000000000000
χ10788-8-800000-88000004-44-4-44-4000040000000000000000000000000000000000000000002-22-2-22-222-22-2-22-22000000000000000000000000000000000000
χ10888-8-800000-88000004-44-4-44-400004000000000000000000000000000000000000000000-22-222-22-2-22-222-22-2000000000000000000000000000000000000
χ10988-8-800000-8800000-44-444-440000-40000000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000000000
χ11088-8-800000-8800000-44-444-440000-4000000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i−2i2i−2i2i000000000000000000000000000000000000
χ1118-88-80008-800000004-4-444-4-4000040000000000000000000000000000000000000000002-2-222-2-222-2-222-2-22000000000000000000000000000000000000
χ1128-88-80008-800000004-4-444-4-400004000000000000000000000000000000000000000000-222-2-222-2-222-2-222-2000000000000000000000000000000000000
χ1138-88-80008-80000000-444-4-4440000-40000000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000000000
χ1148-88-80008-80000000-444-4-4440000-4000000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i000000000000000000000000000000000000
χ1158-88-8000-8800000004-4-44-4440000-40000000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i000000000000000000000000000000000000
χ1168-88-8000-8800000004-4-44-4440000-4000000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000000000
χ1178-88-8000-880000000-444-44-4-4000040000000000000000000000000000000000000000002-2-22-222-2-222-22-2-22000000000000000000000000000000000000
χ1188-88-8000-880000000-444-44-4-400004000000000000000000000000000000000000000000-222-22-2-222-2-22-222-2000000000000000000000000000000000000
χ1198-8-8888-80000-88-80000000000000000000000008-80000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-8-8888-80000-88-8000000000000000000000000-880000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1218-8-88-88800008-8-8000000000000008-8-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-8-88-88800008-8-800000000000000-888-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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