Finite Group Databasebeta

← Group #72311934

Character table — Group #72311934

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136
size111111111111111122222222222222222222222244444444444444448888888888888888888888888888888888888888888888881616161616161616161616161616161616161616161616161616161616161616
order1222222244444444222222222222444444444444222222224444444422224444444444444444444444444444444444444444444422444444444444444444444444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ511111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-11-111111111-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-111-11-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-11111-1-1-1-111-1-11-1-1-1-1-1-1-1-1-111111111
χ811111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-11-1-1-1-11111-1-111-1111111111-1-1-1-1-1-1-1-1
χ911111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-1-1-1-1-1111111iiii−i−i−i−iiiii−i−i−i−i
χ1011111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-111111111-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ1111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-1-1-1-1-1111111−i−i−i−iiiii−i−i−i−iiiii
χ1211111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-1-111111111-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ1311111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1-1-1-1-1-1111111-1-11-1iiii−i−i−i−i−i−i−i−iiiii
χ1411111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-111111-1-1-1-1-1-111-11−i−i−i−iiiiiiiii−i−i−i−i
χ1511111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i1-1-1-1-1-1111111-1-11-1−i−i−i−iiiiiiiii−i−i−i−i
χ1611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-111111-1-1-1-1-1-111-11iiii−i−i−i−i−i−i−i−iiiii
χ1711111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-111-1-111-1-11-11-1-1111-1-111-1-111-1-111-1-1
χ1811111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-1-111-1-111-11-111-1-1-111-1-111-1-111-1-111
χ1911111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111-111-1-111-1-11-11-1-11-1-111-1-111-1-111-1-111
χ2011111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-11-1-111-1-111-11-111-111-1-111-1-111-1-111-1-1
χ2111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111-1-11-1-111-1-111-1-1-1-111-1-111
χ2211111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-111-111-1-111-1-11111-1-111-1-1
χ2311111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-11-1-1-1-111-1-11111-1-111-1-1
χ2411111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-111-11111-1-111-1-1-1-111-1-111
χ2511111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii1-1-1-111-1-1111-11-1-11ii−i−i−i−iiiii−i−i−i−iii
χ2611111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1111-1-111-1-1-11-111-1−i−iiiii−i−i−i−iiiii−i−i
χ2711111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i1-1-1-111-1-1111-11-1-11−i−iiiii−i−i−i−iiiii−i−i
χ2811111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1111-1-111-1-1-11-111-1ii−i−i−i−iiiii−i−i−i−iii
χ2911111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i11-1-11111-1-11-1-11-1-1ii−i−i−i−iii−i−iiiii−i−i
χ3011111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-1-1-111-111-111−i−iiiii−i−iii−i−i−i−iii
χ3111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii11-1-11111-1-11-1-11-1-1−i−iiiii−i−iii−i−i−i−iii
χ3211111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-111-1-1-1-111-111-111ii−i−i−i−iii−i−iiiii−i−i
χ332222222222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000000000000000000000000000
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χ3522222222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2222222-2-2-2-2-2-2222222-2-20000000000000000000000000000000000000000000000000000000000000000
χ3622222222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2222222-2-2-2-2-2-2220000000000000000000000000000000000000000000000000000000000000000
χ372222222222222222-2-2-2-222-2-222-2-2-2-2-2-22222-2-2-2-222-2-222-2-222-2-222-2-20000000000000000000000000000000000000000000000000200002-22-200-2-2020000000000000000
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χ392222222222222222-2-2-2-222-2-222-2-2-2-2-2-22222-2-2-2-2-2-222-2-222-2-222-2-222000000000000000000000000000000000000000000000000202-22-20000-2-200200000000000000000
χ402222222222222222-2-2-2-222-2-222-2-2-2-2-2-22222-2-2-2-2-2-222-2-222-2-222-2-222000000000000000000000000000000000000000000000000-20-22-2200002200-200000000000000000
χ412222222222222222-2-2-2-2-2-222-2-222-2-2-2-2-2-2-2-2222222-2-2-2-22222-2-2-2-222000000000000000000000000000000000000000000000000020000-22-2200-2-2020000000000000000
χ422222222222222222-2-2-2-2-2-222-2-222-2-2-2-2-2-2-2-2222222-2-2-2-22222-2-2-2-2220000000000000000000000000000000000000000000000000-200002-22-200220-20000000000000000
χ432222222222222222-2-2-2-2-2-222-2-222-2-2-2-2-2-2-2-22222-2-22222-2-2-2-22222-2-200000000000000000000000000000000000000000000000020-22-220000-2-200200000000000000000
χ442222222222222222-2-2-2-2-2-222-2-222-2-2-2-2-2-2-2-22222-2-22222-2-2-2-22222-2-2000000000000000000000000000000000000000000000000-202-22-200002200-200000000000000000
χ4522222222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-222-2-222-2-2-2-20000000000000000000000000000000000000000000000000000000000000000
χ4622222222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-222-2-222-2-222220000000000000000000000000000000000000000000000000000000000000000
χ4722222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-222222222-2-2-2-222-2-2-2-22222-2-2-2-2220000000000000000000000000000000000000000000000000000000000000000
χ4822222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-222222222-2-2-2-2-2-22222-2-2-2-22222-2-20000000000000000000000000000000000000000000000000000000000000000
χ4922222222-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-22222-2-2-2-2222222-2-222-2-2-2-222-2-222000000000000000000000000000000000000000000000000020000-222-2002-20-20000000000000000
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χ5322222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-22222222222-2-2-2-222-2-2-2-222-2-22222-2-20000000000000000000000000000000000000000000000000200002-2-22002-20-20000000000000000
χ5422222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-22222222222-2-2-2-222-2-2-2-222-2-22222-2-20000000000000000000000000000000000000000000000000-20000-222-200-22020000000000000000
χ5522222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-22222222222-2-2-2-2-2-22222-2-222-2-2-2-22200000000000000000000000000000000000000000000000020-222-20000-2200-200000000000000000
χ5622222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-22222222222-2-2-2-2-2-22222-2-222-2-2-2-222000000000000000000000000000000000000000000000000-202-2-2200002-200200000000000000000
χ57222-2-22-2-22i2i2i2i−2i−2i−2i−2i22-2-22-22-22-22-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2-22-22-22-22i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000000000000000000000000000002i−2i2-22i−2i2-2
χ58222-2-22-2-22i2i2i2i−2i−2i−2i−2i22-2-22-22-22-22-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2-22-22-22-22i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000000000000000000000000000000000−2i2i-22−2i2i-22
χ59222-2-22-2-22i2i2i2i−2i−2i−2i−2i22-2-22-22-22-22-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i-22-22-22-22−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000000000000000000000000000000000002-22i−2i2-22i−2i00000000
χ60222-2-22-2-22i2i2i2i−2i−2i−2i−2i22-2-22-22-22-22-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i-22-22-22-22−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000000000000000000000-22−2i2i-22−2i2i00000000
χ61222-2-22-2-22i2i2i2i−2i−2i−2i−2i22-2-2-22-22-22-222i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2-22-2-22-222i−2i2i−2i−2i2i−2i2i0000000000000000000000000000000000000000000000000000000000000000000000002-2−2i2i-222i−2i
χ62222-2-22-2-22i2i2i2i−2i−2i−2i−2i22-2-2-22-22-22-222i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2-22-2-22-222i−2i2i−2i−2i2i−2i2i000000000000000000000000000000000000000000000000000000000000000000000000-222i−2i2-2−2i2i
χ63222-2-22-2-22i2i2i2i−2i−2i−2i−2i22-2-2-22-22-22-222i2i−2i−2i−2i−2i2i2i−2i−2i2i2i-22-222-22-2−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000000000000000000000000000000000000002i−2i-22−2i2i2-200000000
χ64222-2-22-2-22i2i2i2i−2i−2i−2i−2i22-2-2-22-22-22-222i2i−2i−2i−2i−2i2i2i−2i−2i2i2i-22-222-22-2−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000000000000000000000000000000000000000−2i2i2-22i−2i-2200000000
χ65222-2-22-2-22i2i2i2i−2i−2i−2i−2i-2-2222-2-222-2-22−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2-2-222-2-222i−2i−2i2i2i−2i−2i2i000000000000000022-2-22i2i−2i−2i22-2-22i2i−2i−2i000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).