Finite Group Databasebeta

← Group #14413795

Character table — Group #14413795

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size111122222222223333444444444444444444444455556666668888888888888888101010101010101010101212121212121212121212121212121215151515202020202020202020202020202030303030303040404040404040406060606060606060
order122222344446664444566101010101010101212121220202020202020204444444444153030303030303060606060606060604444441212121220202020202020202020202020202020222288888888121212121212224444242424242424242488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ41111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ511111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ611111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i-1-1-1-1-1-1111111iiii−i−i−i−i−i−i−i−iiiii
χ811111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii-1-1-1-1-1-1111111−i−i−i−iiiiiiiii−i−i−i−i
χ91111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-1
χ101111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111-1-1-1-1-1-111-1-111-1-111-1-111
χ111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i−i−iii-1-11111-1-11111ii−i−i−i−iiiii−i−i−i−iii
χ121111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iiiii−i−i-1-11111-1-11111−i−iiiii−i−i−i−iiiii−i−i
χ131111111-1-1-1-1111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111
χ141111111-1-1-1-1111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-111-1-11111-1-111-1-1
χ151111111-1-1-1-1111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111ii−i−i−i−iii-1-1111111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i
χ161111111-1-1-1-1111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111−i−iiiii−i−i-1-1111111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii
χ171111-1-1111-1-111111111-1-1-1-1-1-111111-1-11111-1-1-1-11111-1-111-1-1111-1-1-1-111111-1-1-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-111111-11-11-11-1-1-111-1-1-1-111-1-11-11-11-11-11-11-11-11-1
χ181111-1-1111-1-111111111-1-1-1-1-1-111111-1-11111-1-1-1-11111-1-111-1-1111-1-1-1-111111-1-1-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-11111-11-11-11-11-1-111-1-1-1-111-1-1-11-11-11-11-11-11-11-11
χ191111-1-1111-1-111111111-1-1-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1i−ii−i−ii−ii11-1-11111-1-111i−ii−i−ii−iii−ii−i−ii−ii
χ201111-1-1111-1-111111111-1-1-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1−ii−iii−ii−i11-1-11111-1-111−ii−iii−ii−i−ii−iii−ii−i
χ211111-1-1111-1-1111-1-1-1-11-1-1-1-1-1-111111-1-11111-1-1-1-1111111-1-111111-1-1-1-111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-11-11-1-1-111-1-111-1-1111-11-11-11-1-11-11-11-11
χ221111-1-1111-1-1111-1-1-1-11-1-1-1-1-1-111111-1-11111-1-1-1-1111111-1-111111-1-1-1-111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-11-11-1-111-1-111-1-111-11-11-11-111-11-11-11-1
χ231111-1-1111-1-1111-1-1-1-11-1-1-1-1-1-111111-1-11111-1-1-1-1-1-1-1-111-1-111111-1-1-1-111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111i−ii−i−ii−ii11-1-111-1-111-1-1i−ii−i−ii−ii−ii−iii−ii−i
χ241111-1-1111-1-1111-1-1-1-11-1-1-1-1-1-111111-1-11111-1-1-1-1-1-1-1-111-1-111111-1-1-1-111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111−ii−iii−ii−i11-1-111-1-111-1-1−ii−iii−ii−ii−ii−i−ii−ii
χ251111-1-11-1-11111111111-1-1-1-1-1-1111-1-111-1-1-1-111111111-1-1-1-111111-1-1-1-11-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111-1-111-1-11-1-1-1-111-1-1-1-1111-1-111-1-111-1-111-1-11
χ261111-1-11-1-11111111111-1-1-1-1-1-1111-1-111-1-1-1-111111111-1-1-1-111111-1-1-1-11-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-111-1-111-1-1-1-1-111-1-1-1-111-111-1-111-1-111-1-111-1
χ271111-1-11-1-11111111111-1-1-1-1-1-1111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1i−i−ii−iii−i1111-1-11111-1-1i−i−ii−iii−ii−i−ii−iii−i
χ281111-1-11-1-11111111111-1-1-1-1-1-1111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1−iii−ii−i−ii1111-1-11111-1-1−iii−ii−i−ii−iii−ii−i−ii
χ291111-1-11-1-111111-1-1-1-11-1-1-1-1-1-1111-1-111-1-1-1-1111111111111-1-1111-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-111-1-11-1-1-1-1111111-1-11-1-111-1-11-111-1-111-1
χ301111-1-11-1-111111-1-1-1-11-1-1-1-1-1-1111-1-111-1-1-1-1111111111111-1-1111-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1111111-1-1-111-1-111-11-1-111-1-11
χ311111-1-11-1-111111-1-1-1-11-1-1-1-1-1-1111-1-111-1-1-1-11111-1-1-1-11111-1-1111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111i−i−ii−iii−i1111-1-1-1-1-1-111i−i−ii−iii−i−iii−ii−i−ii
χ321111-1-11-1-111111-1-1-1-11-1-1-1-1-1-1111-1-111-1-1-1-11111-1-1-1-11111-1-1111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111−iii−ii−i−ii1111-1-1-1-1-1-111−iii−ii−i−iii−i−ii−iii−i
χ33222222-12222-1-1-100002-1-12222222-1-1-1-1222222222222000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-10000000000000000000022222222-1-1-1-1-1-1000000-1-1-1-1-1-1-1-100000000
χ34222222-12222-1-1-100002-1-12222222-1-1-1-1222222222222000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-100000000000000000000-2-2-2-2-2-2-2-2-1-1-1-1-1-10000001111111100000000
χ35222222-12222-1-1-100002-1-12222222-1-1-1-122222222-2-2-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111000000000000000000002i2i2i2i−2i−2i−2i−2i111111000000−i−i−i−iiiii00000000
χ36222222-12222-1-1-100002-1-12222222-1-1-1-122222222-2-2-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111100000000000000000000−2i−2i−2i−2i2i2i2i2i111111000000iiii−i−i−i−i00000000
χ37222222-1-2-2-2-2-1-1-100002-1-122222221111-2-2-2-2-2-2-2-22222000000-1-1-1-1-1-1-1-11111111122-2-2-2-2-1-1-1-10000000000000000000022-2-222-2-2-1-11111000000-1-111-1-11100000000
χ38222222-1-2-2-2-2-1-1-100002-1-122222221111-2-2-2-2-2-2-2-22222000000-1-1-1-1-1-1-1-11111111122-2-2-2-2-1-1-1-100000000000000000000-2-222-2-222-1-1111100000011-1-111-1-100000000
χ39222222-1-2-2-2-2-1-1-100002-1-122222221111-2-2-2-2-2-2-2-2-2-2-2-2000000-1-1-1-1-1-1-1-111111111-2-222221111000000000000000000002i2i−2i−2i−2i−2i2i2i11-1-1-1-1000000−i−iiiii−i−i00000000
χ40222222-1-2-2-2-2-1-1-100002-1-122222221111-2-2-2-2-2-2-2-2-2-2-2-2000000-1-1-1-1-1-1-1-111111111-2-22222111100000000000000000000−2i−2i2i2i2i2i−2i−2i11-1-1-1-1000000ii−i−i−i−iii00000000
χ412222-2-2-122-2-2-1-1-10000211-2-2-2-2222-1-1112222-2-2-2-22222000000-1-1-11111-1-1-1-1-11111-2-222-2-2-1-1-1-1000000000000000000002-22-22-22-211-1-111000000-11-11-11-1100000000
χ422222-2-2-122-2-2-1-1-10000211-2-2-2-2222-1-1112222-2-2-2-22222000000-1-1-11111-1-1-1-1-11111-2-222-2-2-1-1-1-100000000000000000000-22-22-22-2211-1-1110000001-11-11-11-100000000
χ432222-2-2-122-2-2-1-1-10000211-2-2-2-2222-1-1112222-2-2-2-2-2-2-2-2000000-1-1-11111-1-1-1-1-1111122-2-2221111000000000000000000002i−2i2i−2i−2i2i−2i2i-1-111-1-1000000−ii−iii−ii−i00000000
χ442222-2-2-122-2-2-1-1-10000211-2-2-2-2222-1-1112222-2-2-2-2-2-2-2-2000000-1-1-11111-1-1-1-1-1111122-2-222111100000000000000000000−2i2i−2i2i2i−2i2i−2i-1-111-1-1000000i−ii−i−ii−ii00000000
χ452222-2-2-1-2-222-1-1-10000211-2-2-2-222211-1-1-2-2-2-222222222000000-1-1-11111-11111-1-1-1-1-2-2-2-222-1-1-1-1000000000000000000002-2-222-2-221111-1-1000000-111-1-111-100000000
χ462222-2-2-1-2-222-1-1-10000211-2-2-2-222211-1-1-2-2-2-222222222000000-1-1-11111-11111-1-1-1-1-2-2-2-222-1-1-1-100000000000000000000-222-2-222-21111-1-10000001-1-111-1-1100000000
χ472222-2-2-1-2-222-1-1-10000211-2-2-2-222211-1-1-2-2-2-22222-2-2-2-2000000-1-1-11111-11111-1-1-1-12222-2-21111000000000000000000002i−2i−2i2i−2i2i2i−2i-1-1-1-111000000−iii−ii−i−ii00000000
χ482222-2-2-1-2-222-1-1-10000211-2-2-2-222211-1-1-2-2-2-22222-2-2-2-2000000-1-1-11111-11111-1-1-1-12222-2-2111100000000000000000000−2i2i2i−2i2i−2i−2i2i-1-1-1-111000000i−i−ii−iii−i00000000
χ4922-2-2002002i−2i-22-222-2-22000000-22-2002i−2i00002i2i−2i−2i22-2-200002i−2i22-20000-200002i2i−2i−2i00002i−2i22-2-222-2-2000000002i2i−2i−2i22-2-20000000000002i−2i00002i−2i0000000000000000
χ5022-2-2002002i−2i-22-222-2-22000000-22-2002i−2i00002i2i−2i−2i-2-22200002i−2i22-20000-200002i2i−2i−2i0000−2i2i-2-22222-2-2000000002i2i−2i−2i-2-222000000000000−2i2i0000−2i2i0000000000000000
χ5122-2-2002002i−2i-22-2-2-2222000000-22-2002i−2i00002i2i−2i−2i22-2-20000−2i2i22-20000-200002i2i−2i−2i00002i−2i22-2-2-2-22200000000−2i−2i2i2i-2-2220000000000002i−2i0000−2i2i0000000000000000
χ5222-2-2002002i−2i-22-2-2-2222000000-22-2002i−2i00002i2i−2i−2i-2-2220000−2i2i22-20000-200002i2i−2i−2i0000−2i2i-2-222-2-22200000000−2i−2i2i2i22-2-2000000000000−2i2i00002i−2i0000000000000000
χ5322-2-200200−2i2i-22-222-2-22000000-22-200−2i2i0000−2i−2i2i2i22-2-20000−2i2i22-20000-20000−2i−2i2i2i0000−2i2i22-2-222-2-200000000−2i−2i2i2i22-2-2000000000000−2i2i0000−2i2i0000000000000000
χ5422-2-200200−2i2i-22-222-2-22000000-22-200−2i2i0000−2i−2i2i2i-2-2220000−2i2i22-20000-20000−2i−2i2i2i00002i−2i-2-22222-2-200000000−2i−2i2i2i-2-2220000000000002i−2i00002i−2i0000000000000000
χ5522-2-200200−2i2i-22-2-2-2222000000-22-200−2i2i0000−2i−2i2i2i22-2-200002i−2i22-20000-20000−2i−2i2i2i0000−2i2i22-2-2-2-222000000002i2i−2i−2i-2-222000000000000−2i2i00002i−2i0000000000000000
χ5622-2-200200−2i2i-22-2-2-2222000000-22-200−2i2i0000−2i−2i2i2i-2-22200002i−2i22-20000-20000−2i−2i2i2i00002i−2i-2-222-2-222000000002i2i−2i−2i22-2-20000000000002i−2i0000−2i2i0000000000000000
χ572-22-20022i−2i00-2-222i−2i2i−2i2000000-2-222i−2i002i2i−2i−2i00002i−2i2i−2i002-2002-220000-22i2i−2i−2i0000002-2002i−2i2i−2i2i−2i2i−2i000022-2-200002-22-200000000002-200002i−2i000000000000000000
χ582-22-20022i−2i00-2-222i−2i2i−2i2000000-2-222i−2i002i2i−2i−2i0000−2i2i−2i2i002-2002-220000-22i2i−2i−2i000000-2200−2i2i−2i2i2i−2i2i−2i000022-2-20000-22-220000000000-220000−2i2i000000000000000000
χ592-22-20022i−2i00-2-22−2i2i−2i2i2000000-2-222i−2i002i2i−2i−2i00002i−2i2i−2i00-22002-220000-22i2i−2i−2i0000002-2002i−2i2i−2i−2i2i−2i2i0000-2-2220000-22-2200000000002-20000−2i2i000000000000000000
χ602-22-20022i−2i00-2-22−2i2i−2i2i2000000-2-222i−2i002i2i−2i−2i0000−2i2i−2i2i00-22002-220000-22i2i−2i−2i000000-2200−2i2i−2i2i−2i2i−2i2i0000-2-22200002-22-20000000000-2200002i−2i000000000000000000
χ612-22-2002−2i2i00-2-222i−2i2i−2i2000000-2-22−2i2i00−2i−2i2i2i00002i−2i2i−2i00-22002-220000-2−2i−2i2i2i000000-22002i−2i2i−2i2i−2i2i−2i0000-2-22200002-22-20000000000-220000−2i2i000000000000000000
χ622-22-2002−2i2i00-2-222i−2i2i−2i2000000-2-22−2i2i00−2i−2i2i2i0000−2i2i−2i2i00-22002-220000-2−2i−2i2i2i0000002-200−2i2i−2i2i2i−2i2i−2i0000-2-2220000-22-2200000000002-200002i−2i000000000000000000
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χ1094-4-444-4-20000-22200004-2244-4-44-4-40000000000004i−4i−4i4i000000-222-2-222-2000000004i−4i0000−2i2i2i−2i0000000000000000000000000000−2i2i00000000000000000000000000
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χ1198888-8-8-488-8-8-4-4-40000-2442222-2-2-2-4-444-2-2-2-222220000000000111-1-1-1-111111-1-1-1-1000000000000000000000000000000000000000000000000000000000000000000
χ1208888-8-8-4-8-888-4-4-40000-2442222-2-2-244-4-42222-2-2-2-20000000000111-1-1-1-11-1-1-1-11111000000000000000000000000000000000000000000000000000000000000000000
χ12188-8-800-4008i−8i4-440000-20025−2525−252-2200−4i4i2i5−2i52i5−2i5−2i−2i2i2i000000000011-1−55−55-1−i5i5−i5i5ii−i−i000000000000000000000000000000000000000000000000000000000000000000
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χ1268-88-800-48i−8i0044-40000-200−252525−2522-2−4i4i00−2i−2i2i2i−2i52i5−2i52i500000000001-115−5−55-1ii−i−ii5−i5i5−i5000000000000000000000000000000000000000000000000000000000000000000
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χ1288-88-800-4−8i8i0044-40000-200−252525−2522-24i−4i002i2i−2i−2i2i5−2i52i5−2i500000000001-115−5−55-1−i−iii−i5i5−i5i5000000000000000000000000000000000000000000000000000000000000000000
χ1298-8-888-8-40000-4440000-2-44-2-222-222000025−25−252525−25−252500000000001-1-111-1-11−555−5−555−5000000000000000000000000000000000000000000000000000000000000000000
χ1308-8-888-8-40000-4440000-2-44-2-222-2220000−252525−25−252525−2500000000001-1-111-1-115−5−555−5−55000000000000000000000000000000000000000000000000000000000000000000
χ1318-8-88-88-40000-4440000-24-422-2-2-222000025−25−2525−252525−2500000000001-1-1-1-1111−555−55−5−55000000000000000000000000000000000000000000000000000000000000000000
χ1328-8-88-88-40000-4440000-24-422-2-2-2220000−252525−2525−25−252500000000001-1-1-1-11115−5−55−555−5000000000000000000000000000000000000000000000000000000000000000000

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