Finite Group Databasebeta

← Group #14412211

Character table — Group #14412211

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size11222222222224444444444444444444444444444444444444444448888888888888888888888888888888888881010101010101010202020202020202020202020202020202020202060606060606060606060606060606060
order1222222344666244456666661010101212121212121212151520202020303030303030606060606060606010101010101020202020202030303030303030303030303060606060606060606060606022444444244466661212121212121212121212128888888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii
χ51111111111111-1-1-1-111111-1-111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111-1-1-1-111111-1-111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111-1-1-1-111111-1-111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1111111iiii−i−i−i−i−i−i−i−iiiii
χ81111111111111-1-1-1-111111-1-111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1111111−i−i−i−iiiiiiiii−i−i−i−i
χ911111-1-11-1-111111-1-1111-1-111111-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-111-111-1-111-1-1-1-11111-1-1ii−i−iii−i−iii−i−iii−i−i
χ1011111-1-11-1-111111-1-1111-1-111111-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-111-111-1-111-1-1-1-11111-1-1−i−iii−i−iii−i−iii−i−iii
χ1111111-1-11-1-111111-1-1111-1-111111-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111-1-111
χ1211111-1-11-1-111111-1-1111-1-111111-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11-1-111-1-11111-1-1-1-111-1-111-1-11111-1-111-1-1
χ1311111-1-11-1-1111-1-111111-1-1-1-1111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-11111111-1-1-1-1-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii
χ1411111-1-11-1-1111-1-111111-1-1-1-1111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-11111111-1-1-1-1-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i
χ1511111-1-11-1-1111-1-111111-1-1-1-1111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-11111-1-1
χ1611111-1-11-1-1111-1-111111-1-1-1-1111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-111
χ17111-1-1111-1-11111-11-11-1-11111111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-11-1111-1-1-1-111-1-111-1-111i−ii−ii−ii−ii−ii−ii−ii−i
χ18111-1-1111-1-11111-11-11-1-11111111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-11-1111-1-1-1-111-1-111-1-111−ii−ii−ii−ii−ii−ii−ii−ii
χ19111-1-1111-1-11111-11-11-1-11111111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1111-11-1-1-11111-1-111-1-111-1-11-11-11-11-1-11-11-11-11
χ20111-1-1111-1-11111-11-11-1-11111111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1111-11-1-1-11111-1-111-1-111-1-1-11-11-11-111-11-11-11-1
χ21111-1-1111-1-1111-11-111-1-111-1-1111-1-111-1-11111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11-11-11111-1-111-1-1-1-111-1-1i−ii−i−ii−iii−ii−i−ii−ii
χ22111-1-1111-1-1111-11-111-1-111-1-1111-1-111-1-11111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11-11-11111-1-111-1-1-1-111-1-1−ii−iii−ii−i−ii−iii−ii−i
χ23111-1-1111-1-1111-11-111-1-111-1-1111-1-111-1-11111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-11-11-1-1-1-111-1-11111-1-1111-11-1-11-11-11-111-11-1
χ24111-1-1111-1-1111-11-111-1-111-1-1111-1-111-1-11111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-11-11-1-1-1-111-1-11111-1-111-11-111-11-11-11-1-11-11
χ25111-1-1-1-11111111-1-111-1-1-1-11111111-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11-1-111-1-111-1-111-1-11
χ26111-1-1-1-11111111-1-111-1-1-1-11111111-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-111-1-111-1-111-1-111-1
χ27111-1-1-1-11111111-1-111-1-1-1-11111111-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111i−i−iii−i−ii−iii−i−iii−i
χ28111-1-1-1-11111111-1-111-1-1-1-11111111-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111−iii−i−iii−ii−i−iii−i−ii
χ29111-1-1-1-1111111-111-11-1-1-1-1-1-1111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-111111-1-11-111-11-1-11-111-1
χ30111-1-1-1-1111111-111-11-1-1-1-1-1-1111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-11111-111-11-1-11-111-11-1-11
χ31111-1-1-1-1111111-111-11-1-1-1-1-1-1111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-111-1-1-1-1111111-1-111-1-1-1-1i−i−ii−iii−i−iii−ii−i−ii
χ32111-1-1-1-1111111-111-11-1-1-1-1-1-1111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-111-1-1-1-1111111-1-111-1-1-1-1−iii−ii−i−iii−i−ii−iii−i
χ332222222-122-1-1-122222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ342222222-122-1-1-122222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-211111111111111110000000000000000
χ352222222-122-1-1-1-2-2-2-22-1-1-1-111222-1-1111111-1-1-2-2-2-2-1-1-1-1-1-1111111112222-2-222-2-2-2-2-1-1-1-1-1-1-1-11111-1-1-1-11111111122222222-2-2-2-2-1-111-1-1-1-1-1-11111110000000000000000
χ362222222-122-1-1-1-2-2-2-22-1-1-1-111222-1-1111111-1-1-2-2-2-2-1-1-1-1-1-1111111112222-2-222-2-2-2-2-1-1-1-1-1-1-1-11111-1-1-1-111111111-2-2-2-2-2-2-2-2222211-1-1111111-1-1-1-1-1-10000000000000000
χ3722222-2-2-1-2-2-1-1-122-2-22-1-111-1-122211-1-11111-1-1-2-2-2-2-1-1-1-1-1-11111111122-2-222-2-222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-111112222-2-2-2-2-222-2-1-111-1-11111-1-1-1-1110000000000000000
χ3822222-2-2-1-2-2-1-1-122-2-22-1-111-1-122211-1-11111-1-1-2-2-2-2-1-1-1-1-1-11111111122-2-222-2-222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-11111-2-2-2-222222-2-2211-1-111-1-1-1-11111-1-10000000000000000
χ3922222-2-2-1-2-2-1-1-1-2-2222-1-111112221111-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-222-1-1-1-11111111111111111-1-1-1-12222-2-2-2-22-2-22-1-1-1-1-1-111111111-1-10000000000000000
χ4022222-2-2-1-2-2-1-1-1-2-2222-1-111112221111-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-222-1-1-1-11111111111111111-1-1-1-1-2-2-2-22222-222-2111111-1-1-1-1-1-1-1-1110000000000000000
χ41222-2-222-1-2-2-1-1-12-22-2211-1-1-1-12221111-1-111-1-1-2-2-2-2-1-1-1-1-1-111111111-2-22222-2-2-2-2221111-1-1-1-1-1-1-1-111111111-1-1-1-122-2-222-2-2-22-22-1-11111-1-111-1-111-1-10000000000000000
χ42222-2-222-1-2-2-1-1-12-22-2211-1-1-1-12221111-1-111-1-1-2-2-2-2-1-1-1-1-1-111111111-2-22222-2-2-2-2221111-1-1-1-1-1-1-1-111111111-1-1-1-1-2-222-2-2222-22-211-1-1-1-111-1-111-1-1110000000000000000
χ43222-2-222-1-2-2-1-1-1-22-22211-1-11122211-1-111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-222-2-21111-1-1-1-111111111-1-1-1-1111122-2-222-2-22-22-2-1-1-1-111-1-11111-1-1110000000000000000
χ44222-2-222-1-2-2-1-1-1-22-22211-1-11122211-1-111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-222-2-21111-1-1-1-111111111-1-1-1-11111-2-222-2-222-22-221111-1-111-1-1-1-111-1-10000000000000000
χ45222-2-2-2-2-122-1-1-12-2-2221111-1-1222-1-11111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-11111111122-2-2-2-22222-2-2-1-1-1-11111-1-1-1-111110000000000000000
χ46222-2-2-2-2-122-1-1-12-2-2221111-1-1222-1-11111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-111111111-2-22222-2-2-2-2221111-1-1-1-11111-1-1-1-10000000000000000
χ47222-2-2-2-2-122-1-1-1-222-22111111222-1-1-1-1-1-111-1-1-2-2-2-2-1-1-1-1-1-111111111-2-2-2-2-2-2222222111111111111-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-222-2-222-1-1111111-1-111-1-1-1-10000000000000000
χ48222-2-2-2-2-122-1-1-1-222-22111111222-1-1-1-1-1-111-1-1-2-2-2-2-1-1-1-1-1-111111111-2-2-2-2-2-2222222111111111111-1-1-1-1-1-1-1-1-1-1-1-1-2-22222-2-222-2-211-1-1-1-1-1-111-1-111110000000000000000
χ4922-22-22-222-2-2-22000022-22-200-2-222-2000000220000-2-2-2-222000000002-22-2002-2000022-2-222-2-2000022-2-2000000002-22-22-22-200002-2002-22-22-20000000000000000000000
χ5022-22-22-222-2-2-22000022-22-200-2-222-2000000220000-2-2-2-222000000002-22-2002-2000022-2-222-2-2000022-2-200000000-22-22-22-220000-2200-22-22-220000000000000000000000
χ5122-22-22-2-12-211-100002-11-11−i3i3-2-22-11−i3i3−i3i3−i3i3-1-100001111-1-1−i3−i3−i3−i3i3i3i3i32-22-2002-20000-1-111-1-111−i3−i3i3i3-1-111−i3−i3i3i3−i3−i3i3i32-22-22-22-20000-11−i3i3-11-11-11−i3i3−i3i3−i3i30000000000000000
χ5222-22-22-2-12-211-100002-11-11−i3i3-2-22-11−i3i3−i3i3−i3i3-1-100001111-1-1−i3−i3−i3−i3i3i3i3i32-22-2002-20000-1-111-1-111−i3−i3i3i3-1-111−i3−i3i3i3−i3−i3i3i3-22-22-22-2200001-1i3−i31-11-11-1i3−i3i3−i3i3−i30000000000000000
χ5322-22-22-2-12-211-100002-11-11i3−i3-2-22-11i3−i3i3−i3i3−i3-1-100001111-1-1i3i3i3i3−i3−i3−i3−i32-22-2002-20000-1-111-1-111i3i3−i3−i3-1-111i3i3−i3−i3i3i3−i3−i32-22-22-22-20000-11i3−i3-11-11-11i3−i3i3−i3i3−i30000000000000000
χ5422-22-22-2-12-211-100002-11-11i3−i3-2-22-11i3−i3i3−i3i3−i3-1-100001111-1-1i3i3i3i3−i3−i3−i3−i32-22-2002-20000-1-111-1-111i3i3−i3−i3-1-111i3i3−i3−i3i3i3−i3−i3-22-22-22-2200001-1−i3i31-11-11-1−i3i3−i3i3−i3i30000000000000000
χ5522-22-2-222-22-2-22000022-2-2200-2-22-22000000220000-2-2-2-222000000002-2-2200-22000022-2-2-2-2220000-2-222000000002-22-2-22-2200002-2002-2-22-220000000000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.