Finite Group Databasebeta

← Group #72223518

Character table — Group #72223518

Order 6400.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154
size11222444444444444444444888888888888888888888816161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161625253232323232323232323232323232323232325050505050505050505050100100100100100100100100100100100100100100100100100100200200200200200200200200200200200200
order1224422444455555510101010101022881010101010102020202020202020202020201010101010101010101010101010101010101010101010102020202020202020202020202020202020202020202020202210101010101040404040404040404040404024488888888224444444444448888224444888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1111111111111111111-1-1-1iiii−i−i−i−i-1-1-1-1-1-1ii−i−iii−i−iii−i−i-1-1ii−i−i-1-1ii−i−i
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1111111111111111111-1-1-1−i−i−i−iiiii-1-1-1-1-1-1−i−iii−i−iii−i−iii-1-1−i−iii-1-1−i−iii
χ5111111111-1-11111111111111-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-11111-1-11-11-11-11-11-11-11-11-11-1-1-11-11-1
χ6111111111-1-11111111111111-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1111111-1-1-11-11-11-11-11-111-1-11-11-1-1-11-11
χ7111111111-1-11111111111111-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i−i−iii-1-1-1-111i−i−iii−i−iii−i−ii-11i−i−ii11i−i−ii
χ8111111111-1-11111111111111-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iiiii−i−i-1-1-1-111−iii−i−iii−i−iii−i-11−iii−i11−iii−i
χ9111111-11-111111111111111-1-11-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-11-1111-11-11-11-11111-1-1-1-1-1-11-1-11-11
χ10111111-11-111111111111111-1-11-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-11-11-111-11-11-11-11-1-1-1-1-1-111111-11-11-1
χ11111111-11-111111111111111-1-11-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-11-11-1-1i−i−iii−i−iiii−i−i11−i−iii-11−iii−i
χ12111111-11-111111111111111-1-11-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-11-11-1-1−iii−i−iii−i−i−iii11ii−i−i-11i−i−ii
χ13111111-11-1-1-1111111111111-11-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111111-1-111-1-11-11-1-1-1111111111-11-1-11-11-11-11-1-1-1-1
χ14111111-11-1-1-1111111111111-11-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111111-1-111-1-1111-11-1-1-1-1-1-1-1-1-1-1-1-11-11-111-11-1-111111
χ15111111-11-1-1-1111111111111-11-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1ii−i−i−i−iii-11-1111ii−i−iii−i−ii−i−ii1-1−iii−i1-1−i−iii
χ16111111-11-1-1-1111111111111-11-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1−i−iiiii−i−i-11-1111−i−iii−i−iii−iii−i1-1i−i−ii1-1ii−i−i
χ1711111-11-1111111111111111-1-1-11111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-11-1111-11-11-11-111111-1-1-1-1-1-1-111-11-1
χ1811111-11-1111111111111111-1-1-11111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-11111-11-11-11-1-1-1-1-1-1-11111-11-11-11
χ1911111-11-1111111111111111-1-1-11111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1iiii−i−i−i−i1-11-1-1-1−iii−i−iii−iii−i−i11−i−iii1-1i−i−ii
χ2011111-11-1111111111111111-1-1-11111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1−i−i−i−iiiii1-11-1-1-1i−i−iii−i−ii−i−iii11ii−i−i1-1−iii−i
χ2111111-11-11-1-1111111111111-111-1111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111111-1-111-1-1-11-11-1-1-1-1-1-1-1-1-1-11-11-1-11-11-111-11111
χ2211111-11-11-1-1111111111111-111-1111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1111-1-111-1-111-11-11-1-111111111-11-11-111-11-11-1-1-1-1-1
χ2311111-11-11-1-1111111111111-111-1111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1ii−i−i−i−iii1-11-111−i−iii−i−iiii−i−ii1-1−iii−i-11ii−i−i
χ2411111-11-11-1-1111111111111-111-1111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1−i−iiiii−i−i1-11-111ii−i−iii−i−i−iii−i1-1i−i−ii-11−i−iii
χ2511111-1-1-1-11111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ2611111-1-1-1-11111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-11111
χ2711111-1-1-1-11111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i1111-1-1−i−iii−i−iiiii−i−i-1-1ii−i−i11−i−iii
χ2811111-1-1-1-11111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii1111-1-1ii−i−iii−i−i−i−iii-1-1−i−iii11ii−i−i
χ2911111-1-1-1-1-1-11111111111111-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111111111111-1-111-1-1-1-1-1-1-1-1-11-11-11-111-11-11-11-11-111-11-11
χ3011111-1-1-1-1-1-11111111111111-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111111-1-111-1-111-1-1-1-1-1-11-11-11-11-1-11-111-1-11-11111-11-1
χ3111111-1-1-1-1-1-11111111111111-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1ii−i−i−i−iii111111−iii−i−iii−ii−i−ii-11i−i−ii-1-1−iii−i
χ3211111-1-1-1-1-1-11111111111111-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1−i−iiiii−i−i111111i−i−iii−i−ii−iii−i-11−iii−i-1-1i−i−ii
χ3322-22-2020-2002222222222220000-2-2-2-2-2-2222222-2-2-2-2-2-2000000222222000000000000000000-2-2-2-2-2-200000000000022000000000000000000-22-200220022020-2000-20-202020-20-2000000000000
χ3422-22-2020-2002222222222220000-2-2-2-2-2-2222222-2-2-2-2-2-2000000222222000000000000000000-2-2-2-2-2-200000000000022000000000000000000-22-200-2-200-2-2020-20002020-20-20202000000000000
χ3522-22-2020-2002222222222220000-2-2-2-2-2-2222222-2-2-2-2-2-2000000222222000000000000000000-2-2-2-2-2-2000000000000-2-20000000000000000002-22002i2i00−2i−2i0-202000−2i02i02i0−2i0−2i02i000000000000
χ3622-22-2020-2002222222222220000-2-2-2-2-2-2222222-2-2-2-2-2-2000000222222000000000000000000-2-2-2-2-2-2000000000000-2-20000000000000000002-2200−2i−2i002i2i0-2020002i0−2i0−2i02i02i0−2i000000000000
χ3722-22-20-202002222222222220000-2-2-2-2-2-2222222-2-2-2-2-2-2000000-2-2-2-2-2-200000000000000000022222200000000000022000000000000000000-22-2002200220-2020002020-20-20-20-2000000000000
χ3822-22-20-202002222222222220000-2-2-2-2-2-2222222-2-2-2-2-2-2000000-2-2-2-2-2-200000000000000000022222200000000000022000000000000000000-22-200-2-200-2-20-202000-20-202020202000000000000
χ3922-22-20-202002222222222220000-2-2-2-2-2-2222222-2-2-2-2-2-2000000-2-2-2-2-2-2000000000000000000222222000000000000-2-20000000000000000002-22002i2i00−2i−2i020-20002i0−2i0−2i02i0−2i02i000000000000
χ4022-22-20-202002222222222220000-2-2-2-2-2-2222222-2-2-2-2-2-2000000-2-2-2-2-2-2000000000000000000222222000000000000-2-20000000000000000002-2200−2i−2i002i2i020-2000−2i02i02i0−2i02i0−2i000000000000
χ4122-2-2220-20002222222222220000-2-2-2-2-2-2-2-2-2-2-2-2222222222222000000000000000000-2-2-2-2-2-200000000000000000022000000000000000000-2-222200220020-2000-20-202020-20-20000000000000
χ4222-2-2220-20002222222222220000-2-2-2-2-2-2-2-2-2-2-2-2222222222222000000000000000000-2-2-2-2-2-200000000000000000022000000000000000000-2-22-2-200-2-20020-20002020-20-202020000000000000
χ4322-2-2220-20002222222222220000-2-2-2-2-2-2-2-2-2-2-2-2222222222222000000000000000000-2-2-2-2-2-2000000000000000000-2-200000000000000000022-22i2i00−2i−2i00-202000−2i02i02i0−2i0−2i02i0000000000000
χ4422-2-2220-20002222222222220000-2-2-2-2-2-2-2-2-2-2-2-2222222222222000000000000000000-2-2-2-2-2-2000000000000000000-2-200000000000000000022-2−2i−2i002i2i00-2020002i0−2i0−2i02i02i0−2i0000000000000
χ4522-2-22-2020002222222222220000-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-200000000000000000022222200000000000000000022000000000000000000-2-2222002200-2020002020-20-20-20-20000000000000
χ4622-2-22-2020002222222222220000-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-200000000000000000022222200000000000000000022000000000000000000-2-22-2-200-2-200-202000-20-2020202020000000000000
χ4722-2-22-2020002222222222220000-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2000000000000000000222222000000000000000000-2-200000000000000000022-22i2i00−2i−2i0020-20002i0−2i0−2i02i0−2i02i0000000000000
χ4822-2-22-2020002222222222220000-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2000000000000000000222222000000000000000000-2-200000000000000000022-2−2i−2i002i2i0020-2000−2i02i02i0−2i02i0−2i0000000000000
χ49444444444444-1-1-1-1-14-1-1-1-1-144444-1-1-1-1-14-1-1-1-1-14-1-1-1-1-14-1-1-1-1-14-1-1-1-1-144-1-1-1-1-1-1-1-1-1-14-1-1-1-1-14-1-1-1-1-144-1-1-1-1-1-1-1-1-1-1004-1-1-1-1-14-1-1-1-1-14-1-1-1-1-100000000000000000000000000000000000000000
χ5044444444444-14-1-1-1-1-14-1-1-1-14444-14-1-1-1-1-14-1-1-1-1-14-1-1-1-1-14-1-1-1-1-14-1-1-1-1-1-144-1-1-1-1-1-1-1-1-14-1-1-1-1-14-1-1-1-1-1-144-1-1-1-1-1-1-1-100-14-1-1-1-1-14-1-1-1-1-14-1-1-1-100000000000000000000000000000000000000000
χ5144444444444-1-1−1+53−523+52−1−5-1-1−1+53−523+52−1−54444-1-1−1+53−523+52−1−5-1-1−1+53−523+52−1−5-1-1−1+53−523+52−1−5-1-1−1+53−523+52−1−5-1-1−1+53−523+52−1−5-1-1-1-1−1+5−1+53−523−523+523+52−1−5−1−5-1-1−1+53−523+52−1−5-1-1−1+53−523+52−1−5-1-1-1-1−1+5−1+53−523−523+523+52−1−5−1−500-1-1−1+53−523+52−1−5-1-1−1+53−523+52−1−5-1-1−1+53−523+52−1−500000000000000000000000000000000000000000
χ5244444444444-1-13−52−1−5−1+53+52-1-13−52−1−5−1+53+524444-1-13−52−1−5−1+53+52-1-13−52−1−5−1+53+52-1-13−52−1−5−1+53+52-1-13−52−1−5−1+53+52-1-13−52−1−5−1+53+52-1-1-1-13−523−52−1−5−1−5−1+5−1+53+523+52-1-13−52−1−5−1+53+52-1-13−52−1−5−1+53+52-1-1-1-13−523−52−1−5−1−5−1+5−1+53+523+5200-1-13−52−1−5−1+53+52-1-13−52−1−5−1+53+52-1-13−52−1−5−1+53+5200000000000000000000000000000000000000000
χ5344444444444-1-13+52−1+5−1−53−52-1-13+52−1+5−1−53−524444-1-13+52−1+5−1−53−52-1-13+52−1+5−1−53−52-1-13+52−1+5−1−53−52-1-13+52−1+5−1−53−52-1-13+52−1+5−1−53−52-1-1-1-13+523+52−1+5−1+5−1−5−1−53−523−52-1-13+52−1+5−1−53−52-1-13+52−1+5−1−53−52-1-1-1-13+523+52−1+5−1+5−1−5−1−53−523−5200-1-13+52−1+5−1−53−52-1-13+52−1+5−1−53−52-1-13+52−1+5−1−53−5200000000000000000000000000000000000000000
χ5444444444444-1-1−1−53+523−52−1+5-1-1−1−53+523−52−1+54444-1-1−1−53+523−52−1+5-1-1−1−53+523−52−1+5-1-1−1−53+523−52−1+5-1-1−1−53+523−52−1+5-1-1−1−53+523−52−1+5-1-1-1-1−1−5−1−53+523+523−523−52−1+5−1+5-1-1−1−53+523−52−1+5-1-1−1−53+523−52−1+5-1-1-1-1−1−5−1−53+523+523−523−52−1+5−1+500-1-1−1−53+523−52−1+5-1-1−1−53+523−52−1+5-1-1−1−53+523−52−1+500000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).