Finite Group Databasebeta

← Group #14425279

Character table — Group #14425279

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size112222222224444444444444444444888888888888888888888888888888888888888888888888121215152020242424242424243030304040404040484848484848606060606060808080
order122344556101022444461010121215152020202030306610101010121212122020202020202020303030303030303030306060606060606060606060606060606060606060444444288202020202244881212101040404040222244122424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111
χ5111111111111-11-1-1-111111111111111-111-1-11-1-1-111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-11-11111111-11-111-1-111-1-11-1-1-11-1-11-1
χ6111111111111-11-1-1-111111111111111-111-1-11-1-1-111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-11111-1-1-11-11-1-1-1-111-1-1-1111-111-11
χ7111111111111-11-1-1-111111111111111-111-1-11-1-1-111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-1-1-1-11111-11-1-111-1-1111-1-1-11-11-11
χ8111111111111-11-1-1-111111111111111-111-1-11-1-1-111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-1-1-1-1-1-1-11-11111-1-111-1111-11-11-1
χ911111111111-11-11-1-11111111111111-11-1-111-11-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111111111-1-1111-1-1-1-111-11-1-1-11-1-11
χ1011111111111-11-11-1-11111111111111-11-1-111-11-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111-1-1-111-1-1-1-1-1-1-1111-1111-111-1
χ1111111111111-11-11-1-11111111111111-11-1-111-11-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-111111-1-1-11111-1-1-11-1-1-1111-1
χ1211111111111-11-11-1-11111111111111-11-1-111-11-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111-1-11-1111-1-1-11
χ1311111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111-1-111111111-1-11111-1-1-1-1-1-111-1-11-1-1
χ1411111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-11-1-11111-1-1-1-111-1-111-1-1-1-111-1-111-111
χ1511111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-111-1-1-1-1111-111-1-1-1-11111-1-111-1-1-111
χ1611111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-111-1-1-1-1-1-1-11-1-111-1-1111111-1-1111-1-1
χ17222222−1−52−1+522−1−52−1+522222222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52220000222−1−52−1−52−1+52−1+5200000000−1−52−1+52−1−52−1+52−1−52−1+52000000000
χ18222222−1−52−1+522−1−52−1+522222222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-20000-2-2-21+521+521−521−52000000001+521−521+521−521+521−52000000000
χ19222222−1−52−1+522−1−52−1+522-22-2-2-22−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2−1−52−1+521+521−522-2-2-2−1−52−1+521+521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52220000-22-2−1−52−1−52−1+52−1+52000000001+521−52−1−52−1+521+521−52000000000
χ20222222−1−52−1+522−1−52−1+522-22-2-2-22−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2−1−52−1+521+521−522-2-2-2−1−52−1+521+521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52-2-200002-221+521+521−521−5200000000−1−52−1+521+521−52−1−52−1+52000000000
χ21222222−1−52−1+522−1−52−1+52-22-22-2-22−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-221+521−52−1−52−1+52-22-2-21+521−52−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52220000-2-22−1−52−1−52−1+52−1+52000000001+521−521+521−52−1−52−1+52000000000
χ22222222−1−52−1+522−1−52−1+52-22-22-2-22−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-221+521−52−1−52−1+52-22-2-21+521−52−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2-2000022-21+521+521−521−5200000000−1−52−1+52−1−52−1+521+521−52000000000
χ23222222−1−52−1+522−1−52−1+52-2-2-2-2222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-21+521−521+521−52-2-2221+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522200002-2-2−1−52−1−52−1+52−1+5200000000−1−52−1+521+521−521+521−52000000000
χ24222222−1−52−1+522−1−52−1+52-2-2-2-2222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-21+521−521+521−52-2-2221+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-20000-2221+521+521−521−52000000001+521−52−1−52−1+52−1−52−1+52000000000
χ25222222−1+52−1−522−1+52−1−522222222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52220000222−1+52−1+52−1−52−1−5200000000−1+52−1−52−1+52−1−52−1+52−1−52000000000
χ26222222−1+52−1−522−1+52−1−522222222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-20000-2-2-21−521−521+521+52000000001−521+521−521+521−521+52000000000
χ27222222−1+52−1−522−1+52−1−522-22-2-2-22−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2−1+52−1−521−521+522-2-2-2−1+52−1−521−521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52220000-22-2−1+52−1+52−1−52−1−52000000001−521+52−1+52−1−521−521+52000000000
χ28222222−1+52−1−522−1+52−1−522-22-2-2-22−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2−1+52−1−521−521+522-2-2-2−1+52−1−521−521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52-2-200002-221−521−521+521+5200000000−1+52−1−521−521+52−1+52−1−52000000000
χ29222222−1+52−1−522−1+52−1−52-22-22-2-22−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-221−521+52−1+52−1−52-22-2-21−521+52−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52220000-2-22−1+52−1+52−1−52−1−52000000001−521+521−521+52−1+52−1−52000000000
χ30222222−1+52−1−522−1+52−1−52-22-22-2-22−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-221−521+52−1+52−1−52-22-2-21−521+52−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2-2000022-21−521−521+521+5200000000−1+52−1−52−1+52−1−521−521+52000000000
χ31222222−1+52−1−522−1+52−1−52-2-2-2-2222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-21−521+521−521+52-2-2221−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522200002-2-2−1+52−1+52−1−52−1−5200000000−1+52−1−521−521+521−521+52000000000
χ32222222−1+52−1−522−1+52−1−52-2-2-2-2222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-21−521+521−521+52-2-2221−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-20000-2221−521−521+521+52000000001−521+52−1+52−1−52−1+52−1−52000000000
χ332222-2-22222200002-2222-2-222-2-2-2-222000000002-200002-22-22200000000-2-2-2-20000000022-2-222-2-20022000000000-2-2200000000000002-200000
χ342222-2-22222200002-2222-2-222-2-2-2-222000000002-200002-22-22200000000-2-2-2-20000000022-2-222-2-200-2-200000000022-20000000000000-2200000
χ352222-2-2222220000-22222-2-222-2-2-2-22200000000-220000-22-222200000000-2-2-2-200000000-2-222-2-2220022000000000-2-220000000000000-2200000
χ362222-2-2222220000-22222-2-222-2-2-2-22200000000-220000-22-222200000000-2-2-2-200000000-2-222-2-22200-2-200000000022-200000000000002-200000
χ37222-12222-122222222-122-1-1-1-12222-1-1-1-12222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000220000000000222-1-1000000000000-1-1-1
χ38222-12222-122222222-122-1-1-1-12222-1-1-1-12222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-20000000000-2-2-211000000000000111
χ39222-12222-1222-22-2-2-2-122-1-1-1-12222-1-1-1122-2-2-111122-2-2-2-2-2-2-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111110000220000000000-22-2-1-10000000000001-11
χ40222-12222-1222-22-2-2-2-122-1-1-1-12222-1-1-1122-2-2-111122-2-2-2-2-2-2-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111110000-2-200000000002-2211000000000000-11-1
χ41222-12222-122-22-22-2-2-122-1-1-1-12222-1-11-1-2-2221-111-2-222-2-2-2-2-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111110000220000000000-2-22-1-100000000000011-1
χ42222-12222-122-22-22-2-2-122-1-1-1-12222-1-11-1-2-2221-111-2-222-2-2-2-2-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111110000-2-2000000000022-211000000000000-1-11
χ43222-12222-122-2-2-2-222-122-1-1-1-12222-1-111-2-2-2-211-1-1-2-2-2-22222-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-100002200000000002-2-2-1-1000000000000-111
χ44222-12222-122-2-2-2-222-122-1-1-1-12222-1-111-2-2-2-211-1-1-2-2-2-22222-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-10000-2-20000000000-222110000000000001-1-1
χ4522-222-222222020-200-2-2-22-2222-22-2220200220-20000-2-20000-2-2000022222-22-20000-2-2-2-20000000000220000000002-2-2000000000000-20002000
χ4622-222-222222020-200-2-2-22-2222-22-2220200220-20000-2-20000-2-2000022222-22-20000-2-2-2-20000000000-2-2000000000-2220000000000002000-2000
χ4722-222-2222220-20200-2-2-22-2222-22-2220-200-2-2020000220000-2-20000-2-2-2-22-22-2000022220000000000220000000002-2-20000000000002000-2000
χ4822-222-2222220-20200-2-2-22-2222-22-2220-200-2-2020000220000-2-20000-2-2-2-22-22-2000022220000000000-2-2000000000-222000000000000-20002000
χ4922-22-222222220-2000-2-2-2-2222-22-2222202200-2000-2-2000000-2-222220000-22-22-2-2-2-20000000000000022000000000-22-200000000000-200020000
χ5022-22-222222220-2000-2-2-2-2222-22-2222202200-2000-2-2000000-2-222220000-22-22-2-2-2-200000000000000-2-20000000002-22000000000002000-20000
χ5122-22-2222222-202000-2-2-2-2222-22-2222-20-2-200200022000000-2-2-2-2-2-20000-22-2222220000000000000022000000000-22-2000000000002000-20000
χ5222-22-2222222-202000-2-2-2-2222-22-2222-20-2-200200022000000-2-2-2-2-2-20000-22-22222200000000000000-2-20000000002-2200000000000-200020000
χ534444-4-4−1−5−1+54−1−5−1+500004-44−1−5−1+5-4-4−1−5−1+51+51+51−51−5−1−5−1+5000000004-40000−1−51+5−1+51−5−1−5−1+5000000001+51+51−51−500000000−1−5−1−51+51+5−1+5−1+51−51−5000000000000000000000000000000000000
χ544444-4-4−1−5−1+54−1−5−1+50000-444−1−5−1+5-4-4−1−5−1+51+51+51−51−5−1−5−1+500000000-4400001+5−1−51−5−1+5−1−5−1+5000000001+51+51−51−5000000001+51+5−1−5−1−51−51−5−1+5−1+5000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.