Finite Group Databasebeta

← Group #72226488

Character table — Group #72226488

Order 3200.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111222222444444448888888888888888888888888888888888888888888820202020202020202525252525252525252525255050505050505050505050505050505050508080808080808080100100100100100100100100
order1222224444551010101010105510101010101010101010101010101010101020202020202020202020202020202020202020202020202022444444222244444444224444444444444444101020202020202044444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111-111-1-11-1-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1iiiiii−i−i−i−i−i−i1-111-1-11-1ii−i−iii−i−i
χ4111111111111111111111111111111111111111111111111111111111111111-111-1-11-1-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1−i−i−i−i−i−iiiiiii1-111-1-11-1−i−iii−i−iii
χ511111111111111111111111111111111111111111111111111111111111111-11-1-111-11-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1iiiiii−i−i−i−i−i−i-11-1-111-11−i−iii−i−iii
χ611111111111111111111111111111111111111111111111111111111111111-11-1-111-11-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1−i−i−i−i−i−iiiiiii-11-1-111-11ii−i−iii−i−i
χ711111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ811111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ9111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11111
χ10111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1111111-1-1-1-1111111-1-1-1-1
χ11111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111-1-1-1-1-1iiii−i−i−i−i-1-11111ii−i−i−i−i−i−iiiii1-1-1-1111-1−i−iiiii−i−i
χ12111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111-1-1-1-1-1−i−i−i−iiiii-1-11111−i−iiiiiii−i−i−i−i1-1-1-1111-1ii−i−i−i−iii
χ13111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-11-1-1-1-1iiii−i−i−i−i-1-11111ii−i−i−i−i−i−iiiii-1111-1-1-11ii−i−i−i−iii
χ14111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-11-1-1-1-1−i−i−i−iiiii-1-11111−i−iiiiiii−i−i−i−i-1111-1-1-11−i−iiiii−i−i
χ15111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1
χ16111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-11111
χ171111-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1111-11-1-1-1111111111111-1-111-1-1-1-111-1-1-1-111-1-1111-11-1-1-11-11-11-11-1
χ181111-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1111-11-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-111111-11-1-1-1-11-11-11-11
χ191111-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-11-11-1-1-1-1iiii−i−i−i−i11-1-111−i−iii−i−iii−i−iii1-11-1-11-11i−i−iii−i−ii
χ201111-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-11-11-1-1-1-1−i−i−i−iiiii11-1-111ii−i−iii−i−iii−i−i1-11-1-11-11−iii−i−iii−i
χ211111-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-111-11-1-1-1-1-1iiii−i−i−i−i11-1-111−i−iii−i−iii−i−iii-11-111-11-1−iii−i−iii−i
χ221111-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-111-11-1-1-1-1-1−i−i−i−iiiii11-1-111ii−i−iii−i−iii−i−i-11-111-11-1i−i−iii−i−ii
χ231111-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11-1111111111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-1-11-1111-11-11-11-11
χ241111-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11-11111111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-1-11-11111-11-11-11-1
χ251111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-11-11-1-1111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-11-11-1-1-11-111-11-1
χ261111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-11-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-111-11-11-1-11-11-1-11-11
χ271111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-111-1-11-1-1-1-1iiii−i−i−i−i1111-1-1−i−i−i−iiiiiii−i−i1-1-111-1-11−iii−ii−i−ii
χ281111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-111-1-11-1-1-1-1−i−i−i−iiiii1111-1-1iiii−i−i−i−i−i−iii1-1-111-1-11i−i−ii−iii−i
χ291111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-1-111-1-1-1-1-1iiii−i−i−i−i1111-1-1−i−i−i−iiiiiii−i−i-111-1-111-1i−i−ii−iii−i
χ301111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-1-111-1-1-1-1-1−i−i−i−iiiii1111-1-1iiii−i−i−i−i−i−iii-111-1-111-1−iii−ii−i−ii
χ311111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11-11-111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-11-11-1111-11-1-11-11
χ321111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11-11-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11-11-111-11-111-11-1
χ3322-2-200002i−2i2222-2-2-2-222000022-2-200000000-2-200002i2i−2i−2i000000002i2i2i2i−2i−2i−2i−2i000000002-22-222-2-222-2-200002i−2i00002i−2i00002i−2i0000000000000000
χ3422-2-200002i−2i2222-2-2-2-222000022-2-200000000-2-200002i2i−2i−2i000000002i2i2i2i−2i−2i−2i−2i000000002-22-2-2-222-2-22200002i−2i0000−2i2i0000−2i2i0000000000000000
χ3522-2-200002i−2i2222-2-2-2-222000022-2-200000000-2-200002i2i−2i−2i000000002i2i2i2i−2i−2i−2i−2i00000000-22-222i2i−2i−2i−2i−2i2i2i0000−2i2i0000-2200002-20000000000000000
χ3622-2-200002i−2i2222-2-2-2-222000022-2-200000000-2-200002i2i−2i−2i000000002i2i2i2i−2i−2i−2i−2i00000000-22-22−2i−2i2i2i2i2i−2i−2i0000−2i2i00002-20000-220000000000000000
χ3722-2-20000−2i2i2222-2-2-2-222000022-2-200000000-2-20000−2i−2i2i2i00000000−2i−2i−2i−2i2i2i2i2i000000002-22-222-2-222-2-20000−2i2i0000−2i2i0000−2i2i0000000000000000
χ3822-2-20000−2i2i2222-2-2-2-222000022-2-200000000-2-20000−2i−2i2i2i00000000−2i−2i−2i−2i2i2i2i2i000000002-22-2-2-222-2-2220000−2i2i00002i−2i00002i−2i0000000000000000
χ3922-2-20000−2i2i2222-2-2-2-222000022-2-200000000-2-20000−2i−2i2i2i00000000−2i−2i−2i−2i2i2i2i2i00000000-22-222i2i−2i−2i−2i−2i2i2i00002i−2i00002-20000-220000000000000000
χ4022-2-20000−2i2i2222-2-2-2-222000022-2-200000000-2-20000−2i−2i2i2i00000000−2i−2i−2i−2i2i2i2i2i00000000-22-22−2i−2i2i2i2i2i−2i−2i00002i−2i0000-2200002-20000000000000000
χ412-22-2002i−2i0022-2-222-2-2220000-2-22200000000-2-22i2i−2i−2i00002i2i2i2i−2i−2i−2i−2i00000000000000002-2-222i−2i2i−2i2i−2i2i−2i002i−2i00002-200002-2000000000000000000
χ422-22-2002i−2i0022-2-222-2-2220000-2-22200000000-2-22i2i−2i−2i00002i2i2i2i−2i−2i−2i−2i00000000000000002-2-22−2i2i−2i2i−2i2i−2i2i002i−2i0000-220000-22000000000000000000
χ432-22-2002i−2i0022-2-222-2-2220000-2-22200000000-2-22i2i−2i−2i00002i2i2i2i−2i−2i−2i−2i0000000000000000-222-22-22-2-22-2200−2i2i0000−2i2i00002i−2i000000000000000000
χ442-22-2002i−2i0022-2-222-2-2220000-2-22200000000-2-22i2i−2i−2i00002i2i2i2i−2i−2i−2i−2i0000000000000000-222-2-22-222-22-200−2i2i00002i−2i0000−2i2i000000000000000000
χ452-22-200−2i2i0022-2-222-2-2220000-2-22200000000-2-2−2i−2i2i2i0000−2i−2i−2i−2i2i2i2i2i00000000000000002-2-222i−2i2i−2i2i−2i2i−2i00−2i2i0000-220000-22000000000000000000
χ462-22-200−2i2i0022-2-222-2-2220000-2-22200000000-2-2−2i−2i2i2i0000−2i−2i−2i−2i2i2i2i2i00000000000000002-2-22−2i2i−2i2i−2i2i−2i2i00−2i2i00002-200002-2000000000000000000
χ472-22-200−2i2i0022-2-222-2-2220000-2-22200000000-2-2−2i−2i2i2i0000−2i−2i−2i−2i2i2i2i2i0000000000000000-222-22-22-2-22-22002i−2i00002i−2i0000−2i2i000000000000000000
χ482-22-200−2i2i0022-2-222-2-2220000-2-22200000000-2-2−2i−2i2i2i0000−2i−2i−2i−2i2i2i2i2i0000000000000000-222-2-22-222-22-2002i−2i0000−2i2i00002i−2i000000000000000000
χ492-2-222-2000022-2-2-2-2222222-2-2-2-2-2-22222-2-2-2-2220000000000000000000000000000000022-2-22i−2i−2i2i2i−2i−2i2i2-200002i−2i00002i−2i00000000000000000000
χ502-2-222-2000022-2-2-2-2222222-2-2-2-2-2-22222-2-2-2-2220000000000000000000000000000000022-2-2−2i2i2i−2i−2i2i2i−2i2-20000−2i2i0000−2i2i00000000000000000000
χ512-2-222-2000022-2-2-2-2222222-2-2-2-2-2-22222-2-2-2-22200000000000000000000000000000000-2-2222-2-22-222-2-2200002-20000-2200000000000000000000
χ522-2-222-2000022-2-2-2-2222222-2-2-2-2-2-22222-2-2-2-22200000000000000000000000000000000-2-222-222-22-2-22-220000-2200002-200000000000000000000
χ532-2-22-22000022-2-2-2-22222-2-222-2-2-2-2-2-2-2-22222220000000000000000000000000000000022-2-22i−2i−2i2i2i−2i−2i2i-220000−2i2i0000−2i2i00000000000000000000
χ542-2-22-22000022-2-2-2-22222-2-222-2-2-2-2-2-2-2-22222220000000000000000000000000000000022-2-2−2i2i2i−2i−2i2i2i−2i-2200002i−2i00002i−2i00000000000000000000
χ552-2-22-22000022-2-2-2-22222-2-222-2-2-2-2-2-2-2-222222200000000000000000000000000000000-2-2222-2-22-222-22-20000-2200002-200000000000000000000
χ562-2-22-22000022-2-2-2-22222-2-222-2-2-2-2-2-2-2-222222200000000000000000000000000000000-2-222-222-22-2-222-200002-20000-2200000000000000000000
χ5744444444444-14-14-14-1-1-14-14-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14-14-14-14-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1040044040000000000000000000000000000000-100-1-10-100000000
χ5844444444444-14-14-14-1-1-14-14-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14-14-14-14-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10-400-4-40-40000000000000000000000000000000100110100000000
χ594444444444-14-14-14-14-1-1-14-14-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14-14-14-14-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-140440040000000000000000000000000000000-10-1-100-1000000000
χ604444444444-14-14-14-14-1-1-14-14-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14-14-14-14-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-40-4-400-400000000000000000000000000000001011001000000000
χ61444444-4-4-4-44-14-14-14-1-1-14-14-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-41-41-41-4111111111111111110400-4-4040000000000000000000000000000000-100110-100000000
χ62444444-4-4-4-44-14-14-14-1-1-14-14-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-41-41-41-4111111111111111110-400440-40000000000000000000000000000000100-1-10100000000
χ63444444-4-4-4-4-14-14-14-14-1-1-14-14-1-1-1-1-1-1-1-1-1-1-1-1-1-11-41-41-41-4111111111111111140-4-40040000000000000000000000000000000-101100-1000000000
χ64444444-4-4-4-4-14-14-14-14-1-1-14-14-1-1-1-1-1-1-1-1-1-1-1-1-1-11-41-41-41-41111111111111111-404400-4000000000000000000000000000000010-1-1001000000000
χ654444-4-444-4-44-14-14-14-1-1-1-41-41-1-1-1-111111111-1-14-14-1-41-41-1-1-1-1-1-1-1-11111111104004-40-40000000000000000000000000000000-100-110100000000
χ664444-4-444-4-44-14-14-14-1-1-1-41-41-1-1-1-111111111-1-14-14-1-41-41-1-1-1-1-1-1-1-1111111110-400-440400000000000000000000000000000001001-10-100000000
χ674444-4-444-4-4-14-14-14-14-1-11-41-4-1-1-1-111111111-1-1-14-141-41-4-1-1-1-1-1-1-1-111111111404-400-40000000000000000000000000000000-10-11001000000000
χ684444-4-444-4-4-14-14-14-14-1-11-41-4-1-1-1-111111111-1-1-14-141-41-4-1-1-1-1-1-1-1-111111111-40-440040000000000000000000000000000000101-100-1000000000
χ694444-4-4-4-4444-14-14-14-1-1-1-41-41-1-1-1-111111111-1-1-41-414-14-111111111-1-1-1-1-1-1-1-10400-440-40000000000000000000000000000000-1001-10100000000
χ704444-4-4-4-4444-14-14-14-1-1-1-41-41-1-1-1-111111111-1-1-41-414-14-111111111-1-1-1-1-1-1-1-10-4004-4040000000000000000000000000000000100-110-100000000
χ714444-4-4-4-444-14-14-14-14-1-11-41-4-1-1-1-111111111-1-11-41-4-14-1411111111-1-1-1-1-1-1-1-140-4400-40000000000000000000000000000000-101-1001000000000
χ724444-4-4-4-444-14-14-14-14-1-11-41-4-1-1-1-111111111-1-11-41-4-14-1411111111-1-1-1-1-1-1-1-1-404-4004000000000000000000000000000000010-1100-1000000000
χ738888888888-2-2-2-2-2-2-2-23-2-2-2-2-23-23-233-2-233-2-23-2-2-2-2-2-2-2-2-233-2-233-2-233-2-233-2-2000000000000000000000000000000000000000000000000000000
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χ75888888-8-8-8-8-2-2-2-2-2-2-2-23-2-2-2-2-23-23-233-2-233-2-23-222222222-3-322-3-322-3-322-3-322000000000000000000000000000000000000000000000000000000
χ76888888-8-8-8-8-2-2-2-2-2-2-2-2-23-2-2-2-2-23-23-2-233-2-233-232222222222-3-322-3-322-3-322-3-3000000000000000000000000000000000000000000000000000000
χ778888-8-888-8-8-2-2-2-2-2-2-2-23-222223-23-2-3-322-3-3223-2-2-2-2-2222233-2-233-2-2-3-322-3-322000000000000000000000000000000000000000000000000000000
χ788888-8-888-8-8-2-2-2-2-2-2-2-2-232222-23-2322-3-322-3-3-23-2-2-2-22222-2-233-2-23322-3-322-3-3000000000000000000000000000000000000000000000000000000
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χ1028-88-800−8i8i00-2-222-2-2223-20000-323-2-55005-500-322i2i−2i−2i0000−3i−3i2i2i3i3i−2i−2i5i−5i005i−5i00000000000000000000000000000000000000000000000000000000
χ1038-88-800−8i8i00-2-222-2-222-2300002-3-23005-500-552-32i2i−2i−2i00002i2i−3i−3i−2i−2i3i3i00−5i5i00−5i5i000000000000000000000000000000000000000000000000000000
χ1048-88-800−8i8i00-2-222-2-222-2300002-3-2300-55005-52-32i2i−2i−2i00002i2i−3i−3i−2i−2i3i3i005i−5i005i−5i000000000000000000000000000000000000000000000000000000
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χ1168-8-88-880000-2-22222-2-2-2322-2-22-32-322-3-3-2-233-230000000000-55005-5005-500-55000000000000000000000000000000000000000000000000000000

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