Finite Group Databasebeta

← Group #72240424

Character table — Group #72240424

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size111122222244444444444488888888888888888888888888888888888888888888888888888888888816161616161632323232323232323232323264646464646464646464646464646464
order12222222222222222222222222222222222222222222222222222244444444444444444444444444442244444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ411111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiii
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−i
χ911111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1
χ1011111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111
χ1111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii
χ1211111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i
χ1311111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111
χ1411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-1
χ1511111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i
χ1611111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii
χ171111-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-11-11-11-11-11-11-11-11-1
χ181111-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-11-11-11-11-11-11-11-11
χ191111-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111i−ii−i−ii−iii−ii−i−ii−ii
χ201111-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111−ii−iii−ii−i−ii−iii−ii−i
χ211111-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111-11-11-11-1-11-11-11-11
χ221111-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-11-11-11-111-11-11-11-1
χ231111-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-111-1-1i−ii−i−ii−ii−ii−iii−ii−i
χ241111-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-111-1-1−ii−iii−ii−ii−ii−i−ii−ii
χ251111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1111-1-111-1-111-1-111-1-11
χ261111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-111-1-111-1-111-1-111-1
χ271111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1i−i−ii−iii−ii−i−ii−iii−i
χ281111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1−iii−ii−i−ii−iii−ii−i−ii
χ291111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-11-1-111-1-11-111-1-111-1
χ301111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-111-1-111-11-1-111-1-11
χ311111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-111-1-111-1-1-1-111i−i−ii−iii−i−iii−ii−i−ii
χ321111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-111-1-111-1-1-1-111−iii−ii−i−iii−i−ii−iii−i
χ332222222222222222222222-2-2-2-222-2-222-2-200000000000000002222-2-2-2-222-2-222-2-2000000000000000022-2-2-2-22-22-2000000000000000000000000
χ342222222222222222222222-2-2-2-222-2-222-2-20000000000000000-2-2-2-2-2-2-2-222-2-222-2-20000000000000000-2-22222-22-22000000000000000000000000
χ352222222222222222222222-2-2-2-2-2-222-2-22200000000000000002222-2-2-2-2-2-222-2-222000000000000000022-2-2-2-2-22-22000000000000000000000000
χ362222222222222222222222-2-2-2-2-2-222-2-2220000000000000000-2-2-2-2-2-2-2-2-2-222-2-2220000000000000000-2-222222-22-2000000000000000000000000
χ372222222222-2-2-2-222-2-2-2-2222222000000000000000022-2-222-2-222-2-2-2-2-2-2000000000000000022-2-222-2-22-22-22-2000000002-22-20000000000000000
χ382222222222-2-2-2-222-2-2-2-2222222000000000000000022-2-222-2-2-2-222-2-2-2-2000000000000000022-2-222-2-2-22-22-2200000000-22-220000000000000000
χ392222222222-2-2-2-222-2-2-2-22222220000000000000000-2-222-2-22222-2-2-2-2-2-20000000000000000-2-222-2-2222-22-22-200000000-22-220000000000000000
χ402222222222-2-2-2-222-2-2-2-22222220000000000000000-2-222-2-222-2-222-2-2-2-20000000000000000-2-222-2-222-22-22-22000000002-22-20000000000000000
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χ442222222222-2-2-2-222-2-2-2-222-2-2-2-200000000-2-222-2-22200000000-2-222222200000000-2-222-2-22200000000-222-22-200002-22-200000000000000000000
χ452222-2-2-2-2222222-2-2-2-2-2-222-2-22222-2-2-2-22200000000000000002222-2-22222-2-2-2-2220000000000000000-2-222-2-22-2-22000000000000000000000000
χ462222-2-2-2-2222222-2-2-2-2-2-222-2-22222-2-2-2-2220000000000000000-2-2-2-2-2-22222-2-2-2-222000000000000000022-2-222-222-2000000000000000000000000
χ472222-2-2-2-2222222-2-2-2-2-2-222-2-222-2-22222-2-200000000000000002222-2-222-2-22222-2-20000000000000000-2-222-2-2-222-2000000000000000000000000
χ482222-2-2-2-2222222-2-2-2-2-2-222-2-222-2-22222-2-20000000000000000-2-2-2-2-2-222-2-22222-2-2000000000000000022-2-2222-2-22000000000000000000000000
χ492222-2-2-2-222-2-2-2-2-2-222222222-2-2000000000000000022-2-2-2-22222-2-2-2-222000000000000000022-2-2-2-222-22-222-2000000002-2-220000000000000000
χ502222-2-2-2-222-2-2-2-2-2-222222222-2-2000000000000000022-2-2-2-222-2-222-2-222000000000000000022-2-2-2-2222-22-2-2200000000-222-20000000000000000
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χ1024-4-44-444-4-44-4400004-400000000004-400-44-222-22-2-22-22-222-22-200000000000000002-2-22-222-22-22-2-22-220000000000000000000000000000000000
χ1034-4-44-444-4-44-4400004-40000000000-44004-42-2-22-222-2-22-222-22-20000000000000000-222-22-2-222-22-2-22-220000000000000000000000000000000000
χ1044-4-44-444-4-44-4400004-40000000000-44004-4-222-22-2-222-22-2-22-2200000000000000002-2-22-222-2-22-222-22-20000000000000000000000000000000000
χ1054-4-44-44-444-4004-40000-44000000000000002-22-2-22-222-22-2-22-22000000004-400-44002-22-2-22-222-22-2-22-220000000000000000000000000000000000
χ1064-4-44-44-444-4004-40000-44000000000000002-22-2-22-22-22-222-22-200000000-44004-4002-22-2-22-22-22-222-22-20000000000000000000000000000000000
χ1074-4-44-44-444-4004-40000-4400000000000000-22-222-22-22-22-2-22-2200000000-44004-400-22-222-22-22-22-2-22-220000000000000000000000000000000000
χ1084-4-44-44-444-4004-40000-4400000000000000-22-222-22-2-22-222-22-2000000004-400-4400-22-222-22-2-22-222-22-20000000000000000000000000000000000
χ1094-4-44-44-444-400-4400004-40000004-400-44002-2-22-222-22-2-22-222-200000000000000002-2-22-222-22-2-22-222-20000000000000000000000000000000000
χ1104-4-44-44-444-400-4400004-40000004-400-4400-222-22-2-22-222-22-2-220000000000000000-222-22-2-22-222-22-2-220000000000000000000000000000000000
χ1114-4-44-44-444-400-4400004-4000000-44004-4002-2-22-222-2-222-22-2-2200000000000000002-2-22-222-2-222-22-2-220000000000000000000000000000000000
χ1124-4-44-44-444-400-4400004-4000000-44004-400-222-22-2-222-2-22-222-20000000000000000-222-22-2-222-2-22-222-20000000000000000000000000000000000
χ1131616-16-160000000000000000000000000000000000000000000000008-800000000000000000000000000000000000000000000000000000000000000
χ1141616-16-16000000000000000000000000000000000000000000000000-8800000000000000000000000000000000000000000000000000000000000000
χ11516-1616-1600000000000000000000000000000000000000000000008-80000000000000000000000000000000000000000000000000000000000000000
χ11616-1616-160000000000000000000000000000000000000000000000-880000000000000000000000000000000000000000000000000000000000000000

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