Finite Group Databasebeta

← Group #14297280

Character table — Group #14297280

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size112222244444444444444444444444444455888888888888888888888888888888888888888888888101010101020202020202020202020202020202020202020202060606060120120120120120120
order1223446222244566666666610121212121212151530304410101010101010101020202020202030303030303030303030303030303030303060606060606060606060606022412122244446666661212121212121212128888444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−ii−i
χ41111111111111111111111111111111111-1-1111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii−ii
χ5111111111-1-1-1-1111111-1-1-1-1111-1-1-1-111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111-1-111-1-1-1-111111-1-1-1-11111-1-1-1-111
χ6111111111-1-1-1-1111111-1-1-1-1111-1-1-1-111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111-1-111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1
χ7111111111-1-1-1-1111111-1-1-1-1111-1-1-1-11111-1-111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-11111ii−i−i−i−iiii−i
χ8111111111-1-1-1-1111111-1-1-1-1111-1-1-1-11111-1-111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-11111−i−iiiii−i−i−ii
χ91111111-1-11-11-111-1-1-1-111-1-111111-1-11111111-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-1-11-11111-1-11-1-1-1-111-1-111111-11-1-1-1
χ101111111-1-11-11-111-1-1-1-111-1-111111-1-11111111-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-1-11-11111-1-11-1-1-1-111-1-1-1-1-1-1-11-1111
χ111111111-1-11-11-111-1-1-1-111-1-111111-1-11111-1-11-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111-11-1-1-1-111-11111-1-111ii−i−ii−i−ii−ii
χ121111111-1-11-11-111-1-1-1-111-1-111111-1-11111-1-11-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111-11-1-1-1-111-11111-1-111−i−iii−iii−ii−i
χ131111111-1-1-11-1111-1-1-1-1-1-111111-1-1111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111-11-1-1-1111-1-1111-1-1-1-1-1-1111111-11-11-1-1
χ141111111-1-1-11-1111-1-1-1-1-1-111111-1-1111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111-11-1-1-1111-1-1111-1-1-1-1-1-111-1-1-1-11-11-111
χ151111111-1-1-11-1111-1-1-1-1-1-111111-1-1111111-1-11-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-1111-1-1-111-1-1-1111111-1-1ii−i−i−iii−i−ii
χ161111111-1-1-11-1111-1-1-1-1-1-111111-1-1111111-1-11-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-1111-1-1-111-1-1-1111111-1-1−i−iiii−i−iii−i
χ172222-2-222-200002222-2-200002-2-20000222222222-2-20000-2-20000222222-2-2-2-200000000-2-2-2-200000000-2-2222002-200-2-20000222-2-200000000000000
χ182222-2-222-200002222-2-200002-2-200002222-2-2222-2-20000-2-20000222222-2-2-2-200000000-2-2-2-20000000022-2-2-200-2200220000-2-2-22200000000000000
χ192222-2-22-22000022-2-22200002-2-200002222222-2-2220000-2-2000022-2-2-2-2222200000000-2-2-2-200000000-2-222200-2200-2-200002-2-22200000000000000
χ202222-2-22-22000022-2-22200002-2-200002222-2-22-2-2220000-2-2000022-2-2-2-2222200000000-2-2-2-20000000022-2-2-2002-200220000-222-2-200000000000000
χ21222-122-12222222-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-122222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ22222-122-12222222-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-2-2222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-211-2-2-2-2-2-21111111111111110000000000
χ23222-122-122-2-2-2-22-1-1-1-1-111112-1-11111-1-1-1-12222222-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111222-1-1-2-222-2-2-1-11111-1-1-1-1-111110000000000
χ24222-122-122-2-2-2-22-1-1-1-1-111112-1-11111-1-1-1-1-2-222222-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-2-2-21122-2-22211-1-1-1-111111-1-1-1-10000000000
χ25222-122-1-2-22-22-22-11111-1-1112-1-1-1-111-1-1-1-1222-2-2-2-222-2-22222-2-2-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111222-1-12-2-2-22-2-1-1-1-111-11111-1-1110000000000
χ26222-122-1-2-22-22-22-11111-1-1112-1-1-1-111-1-1-1-1-2-22-2-2-2-222-2-22222-2-2-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-2-2-211-2222-221111-1-11-1-1-1-111-1-10000000000
χ27222-122-1-2-2-22-222-1111111-1-12-1-111-1-1-1-1-1-1222-2-2-2-2-2-22222-2-222-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1222-1-1-22-2-2-22-1-111-1-1-1111111-1-10000000000
χ28222-122-1-2-2-22-222-1111111-1-12-1-111-1-1-1-1-1-1-2-22-2-2-2-2-2-22222-2-222-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-2-2-2112-2222-211-1-1111-1-1-1-1-1-1110000000000
χ29222-1-2-2-12-200002-1-1-111−i3i3−i3i3211−i3i3−i3i3-1-1-1-122222-2-20000-2-20000-1-1-1-1-1-11111−i3−i3i3i3−i3−i3i3i31111−i3−i3i3i3−i3−i3i3i3-2-22-1-1002-20011−i3i3−i3i3-1-1-111−i3i3−i3i30000000000
χ30222-1-2-2-12-200002-1-1-111−i3i3−i3i3211−i3i3−i3i3-1-1-1-1-2-2222-2-20000-2-20000-1-1-1-1-1-11111−i3−i3i3i3−i3−i3i3i31111−i3−i3i3i3−i3−i3i3i322-21100-2200-1-1i3−i3i3−i3111-1-1i3−i3i3−i30000000000
χ31222-1-2-2-12-200002-1-1-111i3−i3i3−i3211i3−i3i3−i3-1-1-1-122222-2-20000-2-20000-1-1-1-1-1-11111i3i3−i3−i3i3i3−i3−i31111i3i3−i3−i3i3i3−i3−i3-2-22-1-1002-20011i3−i3i3−i3-1-1-111i3−i3i3−i30000000000
χ32222-1-2-2-12-200002-1-1-111i3−i3i3−i3211i3−i3i3−i3-1-1-1-1-2-2222-2-20000-2-20000-1-1-1-1-1-11111i3i3−i3−i3i3i3−i3−i31111i3i3−i3−i3i3i3−i3−i322-21100-2200-1-1−i3i3−i3i3111-1-1−i3i3−i3i30000000000
χ33222-1-2-2-1-2200002-111-1-1−i3i3i3−i3211−i3i3i3−i3-1-1-1-1222-2-2220000-2-20000-1-11111-1-1-1-1−i3−i3i3i3i3i3−i3−i31111−i3−i3i3i3i3i3−i3−i3-2-22-1-100-220011−i3i3i3−i3-111-1-1−i3i3i3−i30000000000
χ34222-1-2-2-1-2200002-111-1-1−i3i3i3−i3211−i3i3i3−i3-1-1-1-1-2-22-2-2220000-2-20000-1-11111-1-1-1-1−i3−i3i3i3i3i3−i3−i31111−i3−i3i3i3i3i3−i3−i322-211002-200-1-1i3−i3−i3i31-1-111i3−i3−i3i30000000000
χ35222-1-2-2-1-2200002-111-1-1i3−i3−i3i3211i3−i3−i3i3-1-1-1-1222-2-2220000-2-20000-1-11111-1-1-1-1i3i3−i3−i3−i3−i3i3i31111i3i3−i3−i3−i3−i3i3i3-2-22-1-100-220011i3−i3−i3i3-111-1-1i3−i3−i3i30000000000
χ36222-1-2-2-1-2200002-111-1-1i3−i3−i3i3211i3−i3−i3i3-1-1-1-1-2-22-2-2220000-2-20000-1-11111-1-1-1-1i3i3−i3−i3−i3−i3i3i31111i3i3−i3−i3−i3−i3i3i322-211002-200-1-1−i3i3i3−i31-1-111−i3i3i3−i30000000000
χ3722-222-2200020-22-20000002222-200-2-2222222-2000000222-200-2-2-2-2000000000000222222-2-20000-2-2-2-22-2-2220-200022-200-2-2-2000000220000000000
χ3822-222-2200020-22-20000002222-200-2-22222-2-2-2000000222-200-2-2-2-2000000000000222222-2-20000-2-2-2-2-222-2-202000-2-2200222000000-2-20000000000
χ3922-222-22000-2022-2000000-2-222-20022222222-2000000-2-22-20022-2-2000000000000-2-2-2-222-2-2000022222-2-22202000-22-20022-2000000-2-20000000000
χ4022-222-22000-2022-2000000-2-222-200222222-2-2-2000000-2-22-20022-2-2000000000000-2-2-2-222-2-200002222-222-2-20-20002-2200-2-22000000220000000000
χ4122-22-2220020-202-2000022002-22-2-200222222-200002200-22-2-200-2-20000000022220000-2-222-2-2-2-20000-22-222-200020-22-2-200-2000022000000000000
χ4222-22-2220020-202-2000022002-22-2-2002222-2-2-200002200-22-2-200-2-20000000022220000-2-222-2-2-2-200002-22-2-22000-202-2220020000-2-2000000000000
χ4322-22-22200-20202-20000-2-2002-222200222222-20000-2-200-222200-2-200000000-2-2-2-20000-2-22222220000-22-2222000-20-222200-20000-2-2000000000000
χ4422-22-22200-20202-20000-2-2002-2222002222-2-2-20000-2-200-222200-2-200000000-2-2-2-20000-2-222222200002-22-2-2-2000202-2-2-2002000022000000000000
χ4522-2-12-2-100020-221−i3i3−i3i3−i3i3-1-12-11i3−i311-1-1-1-122-2000000222-200-2-211−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3-1-1-1-1-1-111i3i3−i3−i311112-2-2-1-10-20002-11i3−i3111−i3i3−i3i3−i3i3-1-10000000000
χ4622-2-12-2-100020-221−i3i3−i3i3−i3i3-1-12-11i3−i311-1-1-1-1-2-2-2000000222-200-2-211−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3-1-1-1-1-1-111i3i3−i3−i31111-2221102000-21-1−i3i3-1-1-1i3−i3i3−i3i3−i3110000000000
χ4722-2-12-2-100020-221i3−i3i3−i3i3−i3-1-12-11−i3i311-1-1-1-122-2000000222-200-2-211i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3-1-1-1-1-1-111−i3−i3i3i311112-2-2-1-10-20002-11−i3i3111i3−i3i3−i3i3−i3-1-10000000000
χ4822-2-12-2-100020-221i3−i3i3−i3i3−i3-1-12-11−i3i311-1-1-1-1-2-2-2000000222-200-2-211i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3-1-1-1-1-1-111−i3−i3i3i31111-2221102000-21-1i3−i3-1-1-1−i3i3−i3i3−i3i3110000000000
χ4922-2-12-2-1000-20221−i3i3−i3i3i3−i3112-11−i3i3-1-1-1-1-1-122-2000000-2-22-2002211−i3−i3i3i3−i3−i3i3i3i3i3−i3−i31111-1-111−i3−i3i3i3-1-1-1-12-2-2-1-102000-2-11−i3i3-1-11−i3i3−i3i3i3−i3110000000000
χ5022-2-12-2-1000-20221−i3i3−i3i3i3−i3112-11−i3i3-1-1-1-1-1-1-2-2-2000000-2-22-2002211−i3−i3i3i3−i3−i3i3i3i3i3−i3−i31111-1-111−i3−i3i3i3-1-1-1-1-222110-200021-1i3−i311-1i3−i3i3−i3−i3i3-1-10000000000
χ5122-2-12-2-1000-20221i3−i3i3−i3−i3i3112-11i3−i3-1-1-1-1-1-122-2000000-2-22-2002211i3i3−i3−i3i3i3−i3−i3−i3−i3i3i31111-1-111i3i3−i3−i3-1-1-1-12-2-2-1-102000-2-11i3−i3-1-11i3−i3i3−i3−i3i3110000000000
χ5222-2-12-2-1000-20221i3−i3i3−i3−i3i3112-11i3−i3-1-1-1-1-1-1-2-2-2000000-2-22-2002211i3i3−i3−i3i3i3−i3−i3−i3−i3i3i31111-1-111i3i3−i3−i3-1-1-1-1-222110-200021-1−i3i311-1−i3i3−i3i3i3−i3-1-10000000000
χ5322-2-1-22-10020-2021−i3i3i3−i3-1-1−i3i321-111i3−i3-1-1-1-122-200002200-22-2-20011−i3−i3i3i3i3i3−i3−i3-1-1-1-1−i3−i3i3i311-1-11111i3i3−i3−i3-22-2-1-1-2000201-111i3−i31−i3i3i3−i3-1-1−i3i30000000000
χ5422-2-1-22-10020-2021−i3i3i3−i3-1-1−i3i321-111i3−i3-1-1-1-1-2-2-200002200-22-2-20011−i3−i3i3i3i3i3−i3−i3-1-1-1-1−i3−i3i3i311-1-11111i3i3−i3−i32-22112000-20-11-1-1−i3i3-1i3−i3−i3i311i3−i30000000000
χ5522-2-1-22-10020-2021i3−i3−i3i3-1-1i3−i321-111−i3i3-1-1-1-122-200002200-22-2-20011i3i3−i3−i3−i3−i3i3i3-1-1-1-1i3i3−i3−i311-1-11111−i3−i3i3i3-22-2-1-1-2000201-111−i3i31i3−i3−i3i3-1-1i3−i30000000000
χ5622-2-1-22-10020-2021i3−i3−i3i3-1-1i3−i321-111−i3i3-1-1-1-1-2-2-200002200-22-2-20011i3i3−i3−i3−i3−i3i3i3-1-1-1-1i3i3−i3−i311-1-11111−i3−i3i3i32-22112000-20-11-1-1i3−i3-1−i3i3i3−i311−i3i30000000000
χ5722-2-1-22-100-202021−i3i3i3−i311i3−i321-1-1-1−i3i3-1-1-1-122-20000-2-200-22220011−i3−i3i3i3i3i3−i3−i31111i3i3−i3−i311-1-1-1-1-1-1−i3−i3i3i3-22-2-1-12000-201-1-1-1−i3i31−i3i3i3−i311i3−i30000000000
χ5822-2-1-22-100-202021−i3i3i3−i311i3−i321-1-1-1−i3i3-1-1-1-1-2-2-20000-2-200-22220011−i3−i3i3i3i3i3−i3−i31111i3i3−i3−i311-1-1-1-1-1-1−i3−i3i3i32-2211-200020-1111i3−i3-1i3−i3−i3i3-1-1−i3i30000000000
χ5922-2-1-22-100-202021i3−i3−i3i311−i3i321-1-1-1i3−i3-1-1-1-122-20000-2-200-22220011i3i3−i3−i3−i3−i3i3i31111−i3−i3i3i311-1-1-1-1-1-1i3i3−i3−i3-22-2-1-12000-201-1-1-1i3−i31i3−i3−i3i311−i3i30000000000
χ6022-2-1-22-100-202021i3−i3−i3i311−i3i321-1-1-1i3−i3-1-1-1-1-2-2-20000-2-200-22220011i3i3−i3−i3−i3−i3i3i31111−i3−i3i3i311-1-1-1-1-1-1i3i3−i3−i32-2211-200020-1111−i3i3-1−i3i3i3−i3-1-1i3−i30000000000
χ614444444444444-1444444444-1444444-1-1-1-100-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ62444444444-4-4-4-4-144444-4-4-4-4-144-4-4-4-4-1-1-1-100-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111000000000000000000000000000000000000
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χ1094-40400-40000004000000000-400000044-4-44i−4i0000000000000000000000000000000000000000000000004i−4i0000000000000000000002ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109000000
χ1104-40400-40000004000000000-400000044-4-44i−4i0000000000000000000000000000000000000000000000004i−4i000000000000000000000−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109000000
χ1114-40400-40000004000000000-400000044-4-4−4i4i000000000000000000000000000000000000000000000000−4i4i000000000000000000000−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119000000
χ1124-40400-40000004000000000-400000044-4-4−4i4i000000000000000000000000000000000000000000000000−4i4i0000000000000000000002ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119000000
χ1138-80-40040000008000000000-8000000-4-4448i−8i000000000000000000000000000000000000000000000000−4i4i0000000000000000000000000000000
χ1148-80-40040000008000000000-8000000-4-444−8i8i0000000000000000000000000000000000000000000000004i−4i0000000000000000000000000000000
χ11516-1601600-16000000-40000000004000000-4-44400000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11616-160-8008000000-400000000040000002−2i152+2i15−2+2i15−2−2i1500000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11716-160-8008000000-400000000040000002+2i152−2i15−2−2i15−2+2i1500000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.