Finite Group Databasebeta

← Group #72225774

Character table — Group #72225774

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size111122222244444444444444448888888888888888888888888888888888888816161616161616161616161616161616323232323232323232323232323232323232323232323232323232326464646464646464
order12222222222222222222222222222222222222222222222222222222444444442244444444444444444444444444444444448888888844448888
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
χ311111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11-11-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11-11-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii
χ5111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-11-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−iii−i−iii−i−iii−i−ii−ii−ii−ii−i
χ6111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-11-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111−i−iii−i−iii−i−iii−i−iii−ii−ii−ii−ii
χ7111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111-1-111-1-11
χ8111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-111-1-111-1
χ911111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ1011111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ1111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11-11-11111-1-1-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii
χ1211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11-11-11111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i
χ1311111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-11-11-1-1-1-11111-1-1-1-111111111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i−ii−ii−ii−ii
χ1411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-11-11-1-1-1-11111-1-1-1-111111111-1-1-1-1−i−iii−i−iii−i−iii−i−iiii−ii−ii−ii−i
χ1511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-111-111-1-111-1
χ1611111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-11111-1-11-1-111-1-11
χ171111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-111-1-1-1-1-1-111-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11-1-11-111-1
χ181111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-111-11-1-11
χ191111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-11-1111-1-1-1-1111111-1-11111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiiii−ii−i−ii−ii
χ201111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-11-1111-1-1-1-1111111-1-11111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i−ii−iii−ii−i
χ211111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11-11-1-1-11111-1-11111-1-111-1-11111-1-1ii−i−iii−i−i−i−iii−i−iiiii−i−i−i−iii
χ221111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11-11-1-1-11111-1-11111-1-111-1-11111-1-1−i−iii−i−iiiii−i−iii−i−i−i−iiiii−i−i
χ231111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-11111-1-1-1-1
χ241111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-111-1-1-1-111-1-1-1-111-1-111-1-11111-1-111-1-1-1-111-1-1-1-11111
χ251111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-111-1-11111111111-1-1-1-1-1-1-1-1-111-11-1-11
χ261111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1111111111-1-11-111-1
χ271111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-11-1111-1-1-1-111111111-1-1-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii−ii−iii−ii−i
χ281111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-11-1111-1-1-1-111111111-1-1-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−ii−ii−i−ii−ii
χ291111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111-1-1-1-11-11-1-1-11111-1-1111111-1-111-1-1-1-111ii−i−iii−i−i−i−iii−i−iii−i−iiiii−i−i
χ301111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111-1-1-1-11-11-1-1-11111-1-1111111-1-111-1-1-1-111−i−iii−i−iiiii−i−iii−i−iii−i−i−i−iii
χ311111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-11111-1-111-1-111-1-1-1-111-1-11111-1-1-1-1-1-11111
χ321111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1
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χ34222222222222-2-2-2-22222-2-2-2-222-2-222-2-2000000000000000022-2-2-222-222-2-2-222-22222-2-2-2-222-2-2-2-222000000000000000000000000000000000000
χ35222222222222-2-2-2-22222-2-2-2-222-2-222-2-20000000000000000-2-222-222-2-2-222-222-2-2-2-2-22222-2-222-2-222000000000000000000000000000000000000
χ36222222222222-2-2-2-22222-2-2-2-222-2-222-2-20000000000000000-2-2-2-22-2-22-2-2-2-22-2-22-22-22222222-2-222-2-2000000000000000000000000000000000000
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χ1068-88-8000000004-4-444-4-444-4-4400000000-44004-40000-44004-400000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8000000004-4-44-444-4-444-4000000004-400-440000-44004-400000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8000000004-4-44-444-4-444-400000000-44004-400004-400-4400000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-800000000-444-44-4-44-444-400000000004-400-444-400-440000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-800000000-444-44-4-44-444-40000000000-44004-4-44004-40000000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-800000000-444-4-444-44-4-4400000000004-400-44-44004-40000000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-800000000-444-4-444-44-4-440000000000-44004-44-400-440000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-8888-8-88-8000000000000000000000044-4-4-4-4440000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-8888-8-88-80000000000000000000000-4-44444-4-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-8-888-888-8-800000000000000000000000000000044-4-4-4-44400000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-888-888-8-8000000000000000000000000000000-4-44444-4-400000000000000000000000000000000000000000000000000000000000000000000

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