Finite Group Databasebeta

← Group #72278014

Character table — Group #72278014

Order 8064.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size136667712121818182121242828283236424242427272727284848484848484848484848484168168168168168192224224224224224136667712121818182121242828283236424242427272727284848484848484848484848484168168168168168192224224224224224
order12227332414141466426631466661428282824466661212121212124121212122133666222214662414141466426661466661428282824466661212121212124121212124266666
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111-1-1-11111111111-1-1-111-1-111-1-1-1-1-111-1-1111-1-1-1111111111111111-1-1-11111111111-1-1-111-1-111-1-1-1-1-111-1-1111-1-1-1
χ31111111-1-111111-1111111111-1-1-1-1-11-1-1-1-1-1-1-111-1-1-1-1-1-1-11111111111111-1-111111-1111111111-1-1-1-1-11-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111
χ41111111-1-111111-1-1-1-1111111-1-1-1-11-11-1-111-1-1-1-1111-1-111111-1-1-11111111-1-111111-1-1-1-1111111-1-1-1-11-11-1-111-1-1-1-1111-1-111111-1-1-1
χ511111−1+i32−1−i3211111−1+i32−1−i3211−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211111−1+i32−1−i3211111−1+i32−1−i3211−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ611111−1+i32−1−i3211111−1+i32−1−i321-11−i321+i3211−1+i32−1+i32−1−i32−1−i321111-1-1-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i321−i321+i32-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i3211111−1+i32−1−i3211111−1+i32−1−i321-11−i321+i3211−1+i32−1+i32−1−i32−1−i321111-1-1-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i321−i321+i32-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32
χ711111−1+i32−1−i32-1-1111−1+i32−1−i32-11−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-1-11-11−i321+i321−i321+i321−i321+i32−1+i32−1−i321−i321+i32-11−i321+i321−i321+i321−1+i32−1−i321−1+i32−1−i3211111−1+i32−1−i32-1-1111−1+i32−1−i32-11−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-1-11-11−i321+i321−i321+i321−i321+i32−1+i32−1−i321−i321+i32-11−i321+i321−i321+i321−1+i32−1−i321−1+i32−1−i32
χ811111−1+i32−1−i32-1-1111−1+i32−1−i32-1-11−i321+i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11-111−i321+i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i3211−i321+i32−1+i32−1−i321−1+i32−1−i32-11−i321+i3211111−1+i32−1−i32-1-1111−1+i32−1−i32-1-11−i321+i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11-111−i321+i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i3211−i321+i32−1+i32−1−i321−1+i32−1−i32-11−i321+i32
χ911111−1−i32−1+i3211111−1−i32−1+i3211−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211111−1−i32−1+i3211111−1−i32−1+i3211−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ1011111−1−i32−1+i3211111−1−i32−1+i321-11+i321−i3211−1−i32−1−i32−1+i32−1+i321111-1-1-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i321+i321−i32-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i3211111−1−i32−1+i3211111−1−i32−1+i321-11+i321−i3211−1−i32−1−i32−1+i32−1+i321111-1-1-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i321+i321−i32-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32
χ1111111−1−i32−1+i32-1-1111−1−i32−1+i32-11−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-1-11-11+i321−i321+i321−i321+i321−i32−1−i32−1+i321+i321−i32-11+i321−i321+i321−i321−1−i32−1+i321−1−i32−1+i3211111−1−i32−1+i32-1-1111−1−i32−1+i32-11−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-1-11-11+i321−i321+i321−i321+i321−i32−1−i32−1+i321+i321−i32-11+i321−i321+i321−i321−1−i32−1+i321−1−i32−1+i32
χ1211111−1−i32−1+i32-1-1111−1−i32−1+i32-1-11+i321−i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11-111+i321−i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i3211+i321−i32−1−i32−1+i321−1−i32−1+i32-11+i321−i3211111−1−i32−1+i32-1-1111−1−i32−1+i32-1-11+i321−i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11-111+i321−i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i3211+i321−i32−1−i32−1+i321−1−i32−1+i32-11+i321−i32
χ13222222200222220222-1222220000020000000220000000-1-1-1-1-1-1222222200222220222-1222220000020000000220000000-1-1-1-1-1-1
χ14222222200222220-2-2-2-12222200000-20000000-2-20000000-1-1-1111222222200222220-2-2-2-12222200000-20000000-2-20000000-1-1-1111
χ1522222−1+i3−1−i300222−1+i3−1−i302−1+i3−1−i3-12−1+i3−1+i3−1−i3−1−i30000020000000−1+i3−1−i30000000-11−i321+i32-11−i321+i3222222−1+i3−1−i300222−1+i3−1−i302−1+i3−1−i3-12−1+i3−1+i3−1−i3−1−i30000020000000−1+i3−1−i30000000-11−i321+i32-11−i321+i32
χ1622222−1+i3−1−i300222−1+i3−1−i30-21−i31+i3-12−1+i3−1+i3−1−i3−1−i300000-200000001−i31+i30000000-11−i321+i321−1+i32−1−i3222222−1+i3−1−i300222−1+i3−1−i30-21−i31+i3-12−1+i3−1+i3−1−i3−1−i300000-200000001−i31+i30000000-11−i321+i321−1+i32−1−i32
χ1722222−1−i3−1+i300222−1−i3−1+i302−1−i3−1+i3-12−1−i3−1−i3−1+i3−1+i30000020000000−1−i3−1+i30000000-11+i321−i32-11+i321−i3222222−1−i3−1+i300222−1−i3−1+i302−1−i3−1+i3-12−1−i3−1−i3−1+i3−1+i30000020000000−1−i3−1+i30000000-11+i321−i32-11+i321−i32
χ1822222−1−i3−1+i300222−1−i3−1+i30-21+i31−i3-12−1−i3−1−i3−1+i3−1+i300000-200000001+i31−i30000000-11+i321−i321−1−i32−1+i3222222−1−i3−1+i300222−1−i3−1+i30-21+i31−i3-12−1−i3−1−i3−1+i3−1+i300000-200000001+i31−i30000000-11+i321−i321−1−i32−1+i32
χ1933-1-1333113-1-133-13330-1-1-1-1-111-1-11-11111111-1-111-1-1-1-1-100000033-1-1333113-1-133-13330-1-1-1-1-111-1-11-11111111-1-111-1-1-1-1-1000000
χ2033-1-1333113-1-133-1-3-3-30-1-1-1-1-111-1-1-11-111-1-11111-1-11-1-11100000033-1-1333113-1-133-1-3-3-30-1-1-1-1-111-1-1-11-111-1-11111-1-11-1-111000000
χ2133-1-1333-1-13-1-13313330-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111100000033-1-1333-1-13-1-13313330-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111000000
χ2233-1-1333-1-13-1-1331-3-3-30-1-1-1-1-1-1-111111-1-111-1-11111-111-1-100000033-1-1333-1-13-1-1331-3-3-30-1-1-1-1-1-1-111111-1-111-1-11111-111-1-1000000
χ2333-1-13−3+3i32−3−3i32113-1-1−3+3i32−3−3i32-13−3+3i32−3−3i320-11−i321−i321+i321+i3211-1-11-11−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i32−1+i32−1−i32-11−i321+i321−i321+i3200000033-1-13−3+3i32−3−3i32113-1-1−3+3i32−3−3i32-13−3+3i32−3−3i320-11−i321−i321+i321+i3211-1-11-11−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i32−1+i32−1−i32-11−i321+i321−i321+i32000000
χ2433-1-13−3+3i32−3−3i32113-1-1−3+3i32−3−3i32-1-33−3i323+3i320-11−i321−i321+i321+i3211-1-1-11-1−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i3211−i321+i32−1+i32−1−i3200000033-1-13−3+3i32−3−3i32113-1-1−3+3i32−3−3i32-1-33−3i323+3i320-11−i321−i321+i321+i3211-1-1-11-1−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i3211−i321+i32−1+i32−1−i32000000
χ2533-1-13−3+3i32−3−3i32-1-13-1-1−3+3i32−3−3i3213−3+3i32−3−3i320-11−i321−i321+i321+i32-1-111-1-1-11−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−1+i32−1−i32−1+i32−1−i3200000033-1-13−3+3i32−3−3i32-1-13-1-1−3+3i32−3−3i3213−3+3i32−3−3i320-11−i321−i321+i321+i32-1-111-1-1-11−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−1+i32−1−i32−1+i32−1−i32000000
χ2633-1-13−3+3i32−3−3i32-1-13-1-1−3+3i32−3−3i321-33−3i323+3i320-11−i321−i321+i321+i32-1-1111111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1−i32-1−1+i32−1−i321−i321+i3200000033-1-13−3+3i32−3−3i32-1-13-1-1−3+3i32−3−3i321-33−3i323+3i320-11−i321−i321+i321+i32-1-1111111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1−i32-1−1+i32−1−i321−i321+i32000000
χ2733-1-13−3−3i32−3+3i32113-1-1−3−3i32−3+3i32-13−3−3i32−3+3i320-11+i321+i321−i321−i3211-1-11-11−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i32−1−i32−1+i32-11+i321−i321+i321−i3200000033-1-13−3−3i32−3+3i32113-1-1−3−3i32−3+3i32-13−3−3i32−3+3i320-11+i321+i321−i321−i3211-1-11-11−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i32−1−i32−1+i32-11+i321−i321+i321−i32000000
χ2833-1-13−3−3i32−3+3i32113-1-1−3−3i32−3+3i32-1-33+3i323−3i320-11+i321+i321−i321−i3211-1-1-11-1−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i3211+i321−i32−1−i32−1+i3200000033-1-13−3−3i32−3+3i32113-1-1−3−3i32−3+3i32-1-33+3i323−3i320-11+i321+i321−i321−i3211-1-1-11-1−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i3211+i321−i32−1−i32−1+i32000000
χ2933-1-13−3−3i32−3+3i32-1-13-1-1−3−3i32−3+3i3213−3−3i32−3+3i320-11+i321+i321−i321−i32-1-111-1-1-11+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321−1−i32−1+i32−1−i32−1+i3200000033-1-13−3−3i32−3+3i32-1-13-1-1−3−3i32−3+3i3213−3−3i32−3+3i320-11+i321+i321−i321−i32-1-111-1-1-11+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321−1−i32−1+i32−1−i32−1+i32000000
χ3033-1-13−3−3i32−3+3i32-1-13-1-1−3−3i32−3+3i321-33+3i323−3i320-11+i321+i321−i321−i32-1-1111111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1+i32-1−1−i32−1+i321+i321−i3200000033-1-13−3−3i32−3+3i32-1-13-1-1−3−3i32−3+3i321-33+3i323−3i320-11+i321+i321−i321−i32-1-1111111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1+i32-1−1−i32−1+i321+i321−i32000000
χ316666-10066-1-1-10060006-10000-1-1-1-1000000000000000000-1000006666-10066-1-1-10060006-10000-1-1-1-1000000000000000000-100000
χ326666-100-6-6-1-1-100-60006-100001111000000000000000000-1000006666-100-6-6-1-1-100-60006-100001111000000000000000000-100000
χ336-22-26662-2-222-2-200000-22-22-22-2000002200-2-20000000000000006-22-26662-2-222-2-200000-22-22-22-2000002200-2-2000000000000000
χ346-22-2666-22-222-2-200000-22-22-2-2200000-2-200220000000000000006-22-2666-22-222-2-200000-22-22-2-2200000-2-20022000000000000000
χ356-22-26−3+3i3−3−3i32-2-2221−i31+i300000-2−1+i31−i3−1−i31+i32-200000−1+i3−1−i3001−i31+i30000000000000006-22-26−3+3i3−3−3i32-2-2221−i31+i300000-2−1+i31−i3−1−i31+i32-200000−1+i3−1−i3001−i31+i3000000000000000
χ366-22-26−3+3i3−3−3i3-22-2221−i31+i300000-2−1+i31−i3−1−i31+i3-22000001−i31+i300−1+i3−1−i30000000000000006-22-26−3+3i3−3−3i3-22-2221−i31+i300000-2−1+i31−i3−1−i31+i3-22000001−i31+i300−1+i3−1−i3000000000000000
χ376-22-26−3−3i3−3+3i32-2-2221+i31−i300000-2−1−i31+i3−1+i31−i32-200000−1−i3−1+i3001+i31−i30000000000000006-22-26−3−3i3−3+3i32-2-2221+i31−i300000-2−1−i31+i3−1+i31−i32-200000−1−i3−1+i3001+i31−i3000000000000000
χ386-22-26−3−3i3−3+3i3-22-2221+i31−i300000-2−1−i31+i3−1+i31−i3-22000001+i31−i300−1−i3−1+i30000000000000006-22-26−3−3i3−3+3i3-22-2221+i31−i300000-2−1−i31+i3−1+i31−i3-22000001+i31−i300−1−i3−1+i3000000000000000
χ396-2-2266600-2-2-2-2-2000002-22-22000020-200220000-2-2000000000006-2-2266600-2-2-2-2-2000002-22-22000020-200220000-2-200000000000
χ406-2-2266600-2-2-2-2-2000002-22-220000-20200-2-2000022000000000006-2-2266600-2-2-2-2-2000002-22-220000-20200-2-200002200000000000
χ416-2-226−3+3i3−3−3i300-2-2-21−i31+i30000021−i3−1+i31+i3−1−i3000020-200−1+i3−1−i300001−i31+i3000000000006-2-226−3+3i3−3−3i300-2-2-21−i31+i30000021−i3−1+i31+i3−1−i3000020-200−1+i3−1−i300001−i31+i300000000000
χ426-2-226−3+3i3−3−3i300-2-2-21−i31+i30000021−i3−1+i31+i3−1−i30000-202001−i31+i30000−1+i3−1−i3000000000006-2-226−3+3i3−3−3i300-2-2-21−i31+i30000021−i3−1+i31+i3−1−i30000-202001−i31+i30000−1+i3−1−i300000000000
χ436-2-226−3−3i3−3+3i300-2-2-21+i31−i30000021+i3−1−i31−i3−1+i3000020-200−1−i3−1+i300001+i31−i3000000000006-2-226−3−3i3−3+3i300-2-2-21+i31−i30000021+i3−1−i31−i3−1+i3000020-200−1−i3−1+i300001+i31−i300000000000
χ446-2-226−3−3i3−3+3i300-2-2-21+i31−i30000021+i3−1−i31−i3−1+i30000-202001+i31−i30000−1−i3−1+i3000000000006-2-226−3−3i3−3+3i300-2-2-21+i31−i30000021+i3−1−i31−i3−1+i30000-202001+i31−i30000−1−i3−1+i300000000000
χ4512121212-20000-2-2-2000000-6-20000000000000000000000000010000012121212-20000-2-2-2000000-6-200000000000000000000000000100000
χ461818-6-6-30066-31100-6000010000-1-1110000000000000000000000001818-6-6-30066-31100-6000010000-1-111000000000000000000000000
χ471818-6-6-300-6-6-31100600001000011-1-10000000000000000000000001818-6-6-300-6-6-31100600001000011-1-1000000000000000000000000
χ4818-66-6-3006-61−1−2i7−1+2i7000000010000-11−i7i700000000000000000000000018-66-6-3006-61−1−2i7−1+2i7000000010000-11−i7i7000000000000000000000000
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χ5018-66-6-300-661−1−2i7−1+2i70000000100001-1i7−i700000000000000000000000018-66-6-300-661−1−2i7−1+2i70000000100001-1i7−i7000000000000000000000000
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χ10118-66-6-3006-61−1+2i7−1−2i7000000010000-11i7−i7000000000000000000000000-186-66300-66-11−2i71+2i70000000-100001-1−i7i7000000000000000000000000
χ10218-66-6-300-661−1−2i7−1+2i70000000100001-1i7−i7000000000000000000000000-186-663006-6-11+2i71−2i70000000-10000-11−i7i7000000000000000000000000
χ10318-66-6-300-661−1+2i7−1−2i70000000100001-1−i7i7000000000000000000000000-186-663006-6-11−2i71+2i70000000-10000-11i7−i7000000000000000000000000
χ10436-12-1212-600002220000000-200000000000000000000000000000000-361212-1260000-2-2-20000000200000000000000000000000000000000

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