Finite Group Databasebeta

← Group #14425611

Character table — Group #14425611

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1122222444444444444444444444121224242422444448888888888888888888882424484848224444488888888888888888888824244848485510101010102020202020202020202020202020202020202020206060120120120
order1222236222444666666666121212121212224445101010101530101010202020303030303030303030606060606060101020202051010101015301010102020203030303030303030306060606060601010202020222226622244466666666612121212121222444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-11111111111111111111111111111-1-1-1-1-11111111111111111111111111111-1-1-1-1-11111111111111111111111111111-1-1-1-1-1
χ311111111-1-11-1-111111-1-1-1-111-1-1-1-1111-1-111111111-1-11-1-111111-1-1-1-111-1-1-1-1111-1-111111111-1-11-1-111111-1-1-1-111-1-1-1-1111-1-111111111-1-11-1-111111-1-1-1-111-1-1-1-1111-1-1
χ411111111-1-11-1-111111-1-1-1-111-1-1-1-1-1-1-11111111111-1-11-1-111111-1-1-1-111-1-1-1-1-1-1-11111111111-1-11-1-111111-1-1-1-111-1-1-1-1-1-1-11111111111-1-11-1-111111-1-1-1-111-1-1-1-1-1-1-111
χ51111111-11-1-11-1111-1-111-1-1-1-111-1-111-11-11111111-11-1-11-1111-1-111-1-1-1-111-1-111-11-11111111-11-1-11-1111-1-111-1-1-1-111-1-111-11-11111111-11-1-11-1111-1-111-1-1-1-111-1-111-11-1
χ61111111-11-1-11-1111-1-111-1-1-1-111-1-1-1-11-111111111-11-1-11-1111-1-111-1-1-1-111-1-1-1-11-111111111-11-1-11-1111-1-111-1-1-1-111-1-1-1-11-111111111-11-1-11-1111-1-111-1-1-1-111-1-1-1-11-11
χ71111111-1-11-1-11111-1-1-1-111-1-1-1-11111-1-111111111-1-11-1-11111-1-1-1-111-1-1-1-11111-1-111111111-1-11-1-11111-1-1-1-111-1-1-1-11111-1-111111111-1-11-1-11111-1-1-1-111-1-1-1-11111-1-11
χ81111111-1-11-1-11111-1-1-1-111-1-1-1-111-1-111-11111111-1-11-1-11111-1-1-1-111-1-1-1-111-1-111-11111111-1-11-1-11111-1-1-1-111-1-1-1-111-1-111-11111111-1-11-1-11111-1-1-1-111-1-1-1-111-1-111-1
χ922222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000022222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000022222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000022222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000
χ1022222-1-12-2-22-2-2-1-1-1-1-11111-1-111110000022222-1-12-2-22-2-2-1-1-1-1-11111-1-111110000022222-1-12-2-22-2-2-1-1-1-1-11111-1-111110000022222-1-12-2-22-2-2-1-1-1-1-11111-1-1111100000
χ1122222-1-1-22-2-22-2-1-1-111-1-11111-1-1110000022222-1-1-22-2-22-2-1-1-111-1-11111-1-1110000022222-1-1-22-2-22-2-1-1-111-1-11111-1-1110000022222-1-1-22-2-22-2-1-1-111-1-11111-1-11100000
χ1222222-1-1-2-22-2-22-1-1-11111-1-11111-1-10000022222-1-1-2-22-2-22-1-1-11111-1-11111-1-10000022222-1-1-2-22-2-22-1-1-11111-1-11111-1-10000022222-1-1-2-22-2-22-1-1-11111-1-11111-1-100000
χ13222-2-22200200-22-2-20000220000-2-200000222-2-22200200-22-2-20000220000-2-200000222-2-22200200-22-2-20000220000-2-200000222-2-22200200-22-2-20000220000-2-200000
χ14222-2-22200-20022-2-20000-2-200002200000222-2-22200-20022-2-20000-2-200002200000222-2-22200-20022-2-20000-2-200002200000222-2-22200-20022-2-20000-2-200002200000
χ15222-2-2-1-100200-2-111i3−i3i3−i3-1-1i3−i3i3−i31100000222-2-2-1-100200-2-111i3−i3i3−i3-1-1i3−i3i3−i31100000222-2-2-1-100200-2-111i3−i3i3−i3-1-1i3−i3i3−i31100000222-2-2-1-100200-2-111i3−i3i3−i3-1-1i3−i3i3−i31100000
χ16222-2-2-1-100200-2-111−i3i3−i3i3-1-1−i3i3−i3i31100000222-2-2-1-100200-2-111−i3i3−i3i3-1-1−i3i3−i3i31100000222-2-2-1-100200-2-111−i3i3−i3i3-1-1−i3i3−i3i31100000222-2-2-1-100200-2-111−i3i3−i3i3-1-1−i3i3−i3i31100000
χ17222-2-2-1-100-2002-111i3−i3−i3i311i3−i3−i3i3-1-100000222-2-2-1-100-2002-111i3−i3−i3i311i3−i3−i3i3-1-100000222-2-2-1-100-2002-111i3−i3−i3i311i3−i3−i3i3-1-100000222-2-2-1-100-2002-111i3−i3−i3i311i3−i3−i3i3-1-100000
χ18222-2-2-1-100-2002-111−i3i3i3−i311−i3i3i3−i3-1-100000222-2-2-1-100-2002-111−i3i3i3−i311−i3i3i3−i3-1-100000222-2-2-1-100-2002-111−i3i3i3−i311−i3i3i3−i3-1-100000222-2-2-1-100-2002-111−i3i3i3−i311−i3i3i3−i3-1-100000
χ1922-22-2220200-20-22-200220000-2-2000000022-22-2220200-20-22-200220000-2-2000000022-22-2220200-20-22-200220000-2-2000000022-22-2220200-20-22-200220000-2-20000000
χ2022-22-2220-20020-22-200-2-2000022000000022-22-2220-20020-22-200-2-2000022000000022-22-2220-20020-22-200-2-2000022000000022-22-2220-20020-22-200-2-20000220000000
χ2122-22-2-1-10200-201-11i3−i3-1-1i3−i3−i3i311i3−i30000022-22-2-1-10200-201-11i3−i3-1-1i3−i3−i3i311i3−i30000022-22-2-1-10200-201-11i3−i3-1-1i3−i3−i3i311i3−i30000022-22-2-1-10200-201-11i3−i3-1-1i3−i3−i3i311i3−i300000
χ2222-22-2-1-10200-201-11−i3i3-1-1−i3i3i3−i311−i3i30000022-22-2-1-10200-201-11−i3i3-1-1−i3i3i3−i311−i3i30000022-22-2-1-10200-201-11−i3i3-1-1−i3i3i3−i311−i3i30000022-22-2-1-10200-201-11−i3i3-1-1−i3i3i3−i311−i3i300000
χ2322-22-2-1-10-200201-11i3−i311−i3i3−i3i3-1-1−i3i30000022-22-2-1-10-200201-11i3−i311−i3i3−i3i3-1-1−i3i30000022-22-2-1-10-200201-11i3−i311−i3i3−i3i3-1-1−i3i30000022-22-2-1-10-200201-11i3−i311−i3i3−i3i3-1-1−i3i300000
χ2422-22-2-1-10-200201-11−i3i311i3−i3i3−i3-1-1i3−i30000022-22-2-1-10-200201-11−i3i311i3−i3i3−i3-1-1i3−i30000022-22-2-1-10-200201-11−i3i311i3−i3i3−i3-1-1i3−i30000022-22-2-1-10-200201-11−i3i311i3−i3i3−i3-1-1i3−i300000
χ2522-2-2222200-200-2-22220000-2-200000000022-2-2222200-200-2-22220000-2-200000000022-2-2222200-200-2-22220000-2-200000000022-2-2222200-200-2-22220000-2-2000000000
χ2622-2-2222-200200-2-22-2-200002200000000022-2-2222-200200-2-22-2-200002200000000022-2-2222-200200-2-22-2-200002200000000022-2-2222-200200-2-22-2-2000022000000000
χ2722-2-22-1-1200-20011-1-1-1i3−i3i3−i311−i3i3−i3i30000022-2-22-1-1200-20011-1-1-1i3−i3i3−i311−i3i3−i3i30000022-2-22-1-1200-20011-1-1-1i3−i3i3−i311−i3i3−i3i30000022-2-22-1-1200-20011-1-1-1i3−i3i3−i311−i3i3−i3i300000
χ2822-2-22-1-1200-20011-1-1-1−i3i3−i3i311i3−i3i3−i30000022-2-22-1-1200-20011-1-1-1−i3i3−i3i311i3−i3i3−i30000022-2-22-1-1200-20011-1-1-1−i3i3−i3i311i3−i3i3−i30000022-2-22-1-1200-20011-1-1-1−i3i3−i3i311i3−i3i3−i300000
χ2922-2-22-1-1-20020011-111i3−i3−i3i3-1-1−i3i3i3−i30000022-2-22-1-1-20020011-111i3−i3−i3i3-1-1−i3i3i3−i30000022-2-22-1-1-20020011-111i3−i3−i3i3-1-1−i3i3i3−i30000022-2-22-1-1-20020011-111i3−i3−i3i3-1-1−i3i3i3−i300000
χ3022-2-22-1-1-20020011-111−i3i3i3−i3-1-1i3−i3−i3i30000022-2-22-1-1-20020011-111−i3i3i3−i3-1-1i3−i3−i3i30000022-2-22-1-1-20020011-111−i3i3i3−i3-1-1i3−i3−i3i30000022-2-22-1-1-20020011-111−i3i3i3−i3-1-1i3−i3−i3i300000
χ314-40004-40000000000000000000002-20004-40004-40000000000000000000002-20004-40004-40000000000000000000002-20004-40004-40000000000000000000002-2000
χ324-40004-4000000000000000000000-220004-40004-4000000000000000000000-220004-40004-4000000000000000000000-220004-40004-4000000000000000000000-22000
χ338-8000-44000000000000000000000000008-8000-44000000000000000000000000008-8000-44000000000000000000000000008-8000-4400000000000000000000000000
χ34111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ351111111111111111111111111111-1-1-1-1-11111111111111111111111111111-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ3611111111-1-11-1-111111-1-1-1-111-1-1-1-1111-1-111111111-1-11-1-111111-1-1-1-111-1-1-1-1111-1-111111111-1-11-1-111111-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-11111-1-11111-1-1-111
χ3711111111-1-11-1-111111-1-1-1-111-1-1-1-1-1-1-11111111111-1-11-1-111111-1-1-1-111-1-1-1-1-1-1-11111111111-1-11-1-111111-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-111-1-1-1-1-11111-1-11111111-1-1
χ381111111-11-1-11-1111-1-111-1-1-1-111-1-111-11-11111111-11-1-11-1111-1-111-1-1-1-111-1-111-11-11111111-11-1-11-1111-1-111-1-1-1-111-1-111-11-1-1-1-1-1-1-1-11-111-11-1-1-111-1-11111-1-111-1-11-11
χ391111111-11-1-11-1111-1-111-1-1-1-111-1-1-1-11-111111111-11-1-11-1111-1-111-1-1-1-111-1-1-1-11-111111111-11-1-11-1111-1-111-1-1-1-111-1-1-1-11-11-1-1-1-1-1-1-11-111-11-1-1-111-1-11111-1-11111-11-1
χ401111111-1-11-1-11111-1-1-1-111-1-1-1-11111-1-111111111-1-11-1-11111-1-1-1-111-1-1-1-11111-1-111111111-1-11-1-11111-1-1-1-111-1-1-1-11111-1-11-1-1-1-1-1-1-111-111-1-1-1-11111-1-11111-1-1-1-111-1
χ411111111-1-11-1-11111-1-1-1-111-1-1-1-111-1-111-11111111-1-11-1-11111-1-1-1-111-1-1-1-111-1-111-11111111-1-11-1-11111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-11111-1-111-1-11
χ4222222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000022222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000022222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000-2-2-2-2-211-2-2-2-2-2-211111111111111100000
χ4322222-1-12-2-22-2-2-1-1-1-1-11111-1-111110000022222-1-12-2-22-2-2-1-1-1-1-11111-1-111110000022222-1-12-2-22-2-2-1-1-1-1-11111-1-1111100000-2-2-2-2-211-222-22211111-1-1-1-111-1-1-1-100000
χ4422222-1-1-22-2-22-2-1-1-111-1-11111-1-1110000022222-1-1-22-2-22-2-1-1-111-1-11111-1-1110000022222-1-1-22-2-22-2-1-1-111-1-11111-1-11100000-2-2-2-2-2112-222-22111-1-111-1-1-1-111-1-100000
χ4522222-1-1-2-22-2-22-1-1-11111-1-11111-1-10000022222-1-1-2-22-2-22-1-1-11111-1-11111-1-10000022222-1-1-2-22-2-22-1-1-11111-1-11111-1-100000-2-2-2-2-21122-222-2111-1-1-1-111-1-1-1-11100000
χ46222-2-22200200-22-2-20000220000-2-200000222-2-22200200-22-2-20000220000-2-200000222-2-22200200-22-2-20000220000-2-200000-2-2-222-2-200-2002-2220000-2-200002200000
χ47222-2-22200-20022-2-20000-2-200002200000222-2-22200-20022-2-20000-2-200002200000222-2-22200-20022-2-20000-2-200002200000-2-2-222-2-200200-2-2220000220000-2-200000
χ48222-2-2-1-100200-2-111i3−i3i3−i3-1-1i3−i3i3−i31100000222-2-2-1-100200-2-111i3−i3i3−i3-1-1i3−i3i3−i31100000222-2-2-1-100200-2-111i3−i3i3−i3-1-1i3−i3i3−i31100000-2-2-2221100-20021-1-1−i3i3−i3i311−i3i3−i3i3-1-100000
χ49222-2-2-1-100200-2-111−i3i3−i3i3-1-1−i3i3−i3i31100000222-2-2-1-100200-2-111−i3i3−i3i3-1-1−i3i3−i3i31100000222-2-2-1-100200-2-111−i3i3−i3i3-1-1−i3i3−i3i31100000-2-2-2221100-20021-1-1i3−i3i3−i311i3−i3i3−i3-1-100000
χ50222-2-2-1-100-2002-111i3−i3−i3i311i3−i3−i3i3-1-100000222-2-2-1-100-2002-111i3−i3−i3i311i3−i3−i3i3-1-100000222-2-2-1-100-2002-111i3−i3−i3i311i3−i3−i3i3-1-100000-2-2-2221100200-21-1-1−i3i3i3−i3-1-1−i3i3i3−i31100000
χ51222-2-2-1-100-2002-111−i3i3i3−i311−i3i3i3−i3-1-100000222-2-2-1-100-2002-111−i3i3i3−i311−i3i3i3−i3-1-100000222-2-2-1-100-2002-111−i3i3i3−i311−i3i3i3−i3-1-100000-2-2-2221100200-21-1-1i3−i3−i3i3-1-1i3−i3−i3i31100000
χ5222-22-2220200-20-22-200220000-2-2000000022-22-2220200-20-22-200220000-2-2000000022-22-2220200-20-22-200220000-2-20000000-2-22-22-2-20-200202-2200-2-20000220000000
χ5322-22-2220-20020-22-200-2-2000022000000022-22-2220-20020-22-200-2-2000022000000022-22-2220-20020-22-200-2-20000220000000-2-22-22-2-20200-202-2200220000-2-20000000
χ5422-22-2-1-10200-201-11i3−i3-1-1i3−i3−i3i311i3−i30000022-22-2-1-10200-201-11i3−i3-1-1i3−i3−i3i311i3−i30000022-22-2-1-10200-201-11i3−i3-1-1i3−i3−i3i311i3−i300000-2-22-22110-20020-11-1−i3i311−i3i3i3−i3-1-1−i3i300000
χ5522-22-2-1-10200-201-11−i3i3-1-1−i3i3i3−i311−i3i30000022-22-2-1-10200-201-11−i3i3-1-1−i3i3i3−i311−i3i30000022-22-2-1-10200-201-11−i3i3-1-1−i3i3i3−i311−i3i300000-2-22-22110-20020-11-1i3−i311i3−i3−i3i3-1-1i3−i300000
χ5622-22-2-1-10-200201-11i3−i311−i3i3−i3i3-1-1−i3i30000022-22-2-1-10-200201-11i3−i311−i3i3−i3i3-1-1−i3i30000022-22-2-1-10-200201-11i3−i311−i3i3−i3i3-1-1−i3i300000-2-22-22110200-20-11-1−i3i3-1-1i3−i3i3−i311i3−i300000
χ5722-22-2-1-10-200201-11−i3i311i3−i3i3−i3-1-1i3−i30000022-22-2-1-10-200201-11−i3i311i3−i3i3−i3-1-1i3−i30000022-22-2-1-10-200201-11−i3i311i3−i3i3−i3-1-1i3−i300000-2-22-22110200-20-11-1i3−i3-1-1−i3i3−i3i311−i3i300000
χ5822-2-2222200-200-2-22220000-2-200000000022-2-2222200-200-2-22220000-2-200000000022-2-2222200-200-2-22220000-2-2000000000-2-222-2-2-2-20020022-2-2-2000022000000000
χ5922-2-2222-200200-2-22-2-200002200000000022-2-2222-200200-2-22-2-200002200000000022-2-2222-200200-2-22-2-2000022000000000-2-222-2-2-2200-20022-2220000-2-2000000000
χ6022-2-22-1-1200-20011-1-1-1i3−i3i3−i311−i3i3−i3i30000022-2-22-1-1200-20011-1-1-1i3−i3i3−i311−i3i3−i3i30000022-2-22-1-1200-20011-1-1-1i3−i3i3−i311−i3i3−i3i300000-2-222-211-200200-1-1111−i3i3−i3i3-1-1i3−i3i3−i300000
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χ6222-2-22-1-1-20020011-111i3−i3−i3i3-1-1−i3i3i3−i30000022-2-22-1-1-20020011-111i3−i3−i3i3-1-1−i3i3i3−i30000022-2-22-1-1-20020011-111i3−i3−i3i3-1-1−i3i3i3−i300000-2-222-211200-200-1-11-1-1−i3i3i3−i311i3−i3−i3i300000
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χ12944-4-44-2-2-40040022-222−2i32i32i3−2i3-2-22i3−2i3−2i32i300000−1−5−1−51+51+5−1−51+521+521+500−1−500−1−52−1−521+52−1−52−1−52ζ+ζ4−ζ11−ζ14−ζ−ζ4+ζ11+ζ14−ζ−ζ4+ζ11+ζ14ζ+ζ4−ζ11−ζ141+521+52−ζ−ζ4+ζ11+ζ14ζ+ζ4−ζ11−ζ14ζ+ζ4−ζ11−ζ14−ζ−ζ4+ζ11+ζ1400000−1+5−1+51−51−5−1+51−521−521−500−1+500−1+52−1+521−52−1+52−1+52−ζ2+ζ7−ζ8+ζ13ζ2−ζ7+ζ8−ζ13ζ2−ζ7+ζ8−ζ13−ζ2+ζ7−ζ8+ζ131−521−52ζ2−ζ7+ζ8−ζ13−ζ2+ζ7−ζ8+ζ13−ζ2+ζ7−ζ8+ζ13ζ2−ζ7+ζ8−ζ1300000000000000000000000000000000000000
χ1308-80008-80000000000000000000004-4000−2−252+25000−2−252+25000000000000000000000−1−51+5000−2+252−25000−2+252−25000000000000000000000−1+51−5000000000000000000000000000000000000
χ1318-80008-8000000000000000000000-44000−2−252+25000−2−252+250000000000000000000001+5−1−5000−2+252−25000−2+252−250000000000000000000001−5−1+5000000000000000000000000000000000000
χ13216-16000-8800000000000000000000000000−4−454+450002+25−2−2500000000000000000000000000−4+454−450002−25−2+2500000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 15 (ζ15 = 1); i = ζ3.