Finite Group Databasebeta

← Group #13164541

Character table — Group #13164541

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size11222222223366666666661212121212121212121212121212121212323232323232323232323232323232323232108108108108216216
order1236999181818224466181818181818412121212363636363636363636363636333666999999181818181818888824
χ1111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1
χ3222222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000
χ42222-1-1-1-1-1-1222222-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1000000
χ52222-1-1-1-1-1-1222222-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1222-1-1-1000000
χ62222-1-1-1-1-1-1222222-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1222000000
χ722-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ682222-1-1ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ682-1-1-1-1ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ682-1-12-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68000000
χ822-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ682222-1-1ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ682-1-1-1-1ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68-12-1-12-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52000000
χ922-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ682222-1-1ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ682-1-1-1-1ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68-1-12-1-12−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68000000
χ1022-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ682222-1-1ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ682-1-1-1-1ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ682-1-12-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68000000
χ1122-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ682222-1-1ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ682-1-1-1-1ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68-12-1-12-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68000000
χ1222-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ682222-1-1ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ682-1-1-1-1ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68-1-12-1-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52000000
χ1322-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ522222-1-1−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ522-1-1-1-1−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ522-1-12-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52000000
χ1422-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ522222-1-1−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ522-1-1-1-1−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52-12-1-12-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68000000
χ1522-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ522222-1-1−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ522-1-1-1-1−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52-1-12-1-12ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68000000
χ162-22-2222-2-2-2-22002-22-22-22-200000000000000000-1-1-1111-1-1-1-1-1-1111111−i2−i2i2i200
χ172-22-2222-2-2-2-22002-22-22-22-200000000000000000-1-1-1111-1-1-1-1-1-1111111i2i2−i2−i200
χ18333333333333-1-133333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000001111-1-1
χ19333333333333-1-133333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-1-1-1-111
χ203333333333-1-13-1-1-1-1-1-1-1-1-1-13-1-1-13-1-1-13-1-1-13-1-1-10000000000000000001-11-11-1
χ213333333333-1-13-1-1-1-1-1-1-1-1-1-13-1-1-13-1-1-13-1-1-13-1-1-1000000000000000000-11-11-11
χ223333333333-1-1-13-1-1-1-1-1-1-1-1-1-13-1-1-13-1-1-13-1-1-13-1-10000000000000000001-11-1-11
χ233333333333-1-1-13-1-1-1-1-1-1-1-1-1-13-1-1-13-1-1-13-1-1-13-1-1000000000000000000-11-111-1
χ244-44-4444-4-4-4-44004-44-44-44-400000000000000000111-1-1-1111111-1-1-1-1-1-1000000
χ254-44-4-2-2-2222-44004-4-22-22-2200000000000000000111-1-1-1111-2-2-2-1-1-1222000000
χ264-44-4-2-2-2222-44004-4-22-22-2200000000000000000111-1-1-1-2-2-2111222-1-1-1000000
χ274-44-4-2-2-2222-44004-4-22-22-2200000000000000000-2-2-2222111111-1-1-1-1-1-1000000
χ284-4-222ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68-4400-222ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ682ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ52−2ζ4−2ζ682ζ4+2ζ680000000000000000011-2-1-12ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68000000
χ294-4-222ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68-4400-222ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ682ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ52−2ζ4−2ζ682ζ4+2ζ68000000000000000001-21-12-1−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52000000
χ304-4-222ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68-4400-222ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ682ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ52−2ζ4−2ζ682ζ4+2ζ6800000000000000000-2112-1-1−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68000000
χ314-4-222ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68-4400-222ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ52−2ζ4−2ζ682ζ4+2ζ682ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ680000000000000000011-2-1-12−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52000000
χ324-4-222ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68-4400-222ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ52−2ζ4−2ζ682ζ4+2ζ682ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ68000000000000000001-21-12-1ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68000000
χ334-4-222ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68-4400-222ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ52−2ζ4−2ζ682ζ4+2ζ682ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ6800000000000000000-2112-1-1−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68000000
χ344-4-22−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52-4400-22−2ζ4−2ζ682ζ4+2ζ682ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ682ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ520000000000000000011-2-1-12−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68000000
χ354-4-22−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52-4400-22−2ζ4−2ζ682ζ4+2ζ682ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ682ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ52000000000000000001-21-12-1−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68000000
χ364-4-22−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52-4400-22−2ζ4−2ζ682ζ4+2ζ682ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ682ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ5200000000000000000-2112-1-1ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52000000
χ376666666666-2-2-2-2-2-2-2-2-2-2-2-22-2-222-2-222-2-222-2-222000000000000000000000000
χ386666-3-3-3-3-3-366-2-266-3-3-3-3-3-3-2-2-2-2-2111111111111000000000000000000000000
χ396666-3-3-3-3-3-3-2-26-2-2-2111111-26-2-2-2-3111-3111-3111000000000000000000000000
χ406666-3-3-3-3-3-3-2-2-26-2-2111111-2-26-2-21-3111-3111-311000000000000000000000000
χ416666-3-3-3-3-3-3-2-2-2-2-2-21111112-2-22211−1−2i3−1+2i311−1−2i3−1+2i311−1−2i3−1+2i3000000000000000000000000
χ426666-3-3-3-3-3-3-2-2-2-2-2-21111112-2-22211−1+2i3−1−2i311−1+2i3−1−2i311−1+2i3−1−2i3000000000000000000000000
χ4366-3-33ζ44−3ζ52+3ζ683ζ4−3ζ44+3ζ52−3ζ4−3ζ683ζ44−3ζ52+3ζ683ζ4−3ζ44+3ζ52−3ζ4−3ζ6866-2-2-3-33ζ44−3ζ52+3ζ683ζ44−3ζ52+3ζ683ζ4−3ζ44+3ζ523ζ4−3ζ44+3ζ52−3ζ4−3ζ68−3ζ4−3ζ68-21111−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ68000000000000000000000000
χ4466-3-33ζ44−3ζ52+3ζ683ζ4−3ζ44+3ζ52−3ζ4−3ζ683ζ44−3ζ52+3ζ683ζ4−3ζ44+3ζ52−3ζ4−3ζ68-2-26-211−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68-2-31113ζ44−3ζ52+3ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ683ζ4−3ζ44+3ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−3ζ4−3ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ68000000000000000000000000
χ4566-3-33ζ44−3ζ52+3ζ683ζ4−3ζ44+3ζ52−3ζ4−3ζ683ζ44−3ζ52+3ζ683ζ4−3ζ44+3ζ52−3ζ4−3ζ68-2-2-2611−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68-21-311−ζ44+ζ52−ζ683ζ44−3ζ52+3ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ523ζ4−3ζ44+3ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68−3ζ4−3ζ68ζ4+ζ68ζ4+ζ68000000000000000000000000
χ4666-3-33ζ44−3ζ52+3ζ683ζ4−3ζ44+3ζ52−3ζ4−3ζ683ζ44−3ζ52+3ζ683ζ4−3ζ44+3ζ52−3ζ4−3ζ68-2-2-2-211−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68211−1−2i3−1+2i3−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44−3ζ52−ζ683ζ44+ζ52+3ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ523ζ4+ζ44+3ζ52−ζ4−3ζ44−ζ52ζ4+ζ68ζ4+ζ68−3ζ4+ζ68ζ4−3ζ68000000000000000000000000
χ4766-3-33ζ44−3ζ52+3ζ683ζ4−3ζ44+3ζ52−3ζ4−3ζ683ζ44−3ζ52+3ζ683ζ4−3ζ44+3ζ52−3ζ4−3ζ68-2-2-2-211−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68211−1+2i3−1−2i3−ζ44+ζ52−ζ68−ζ44+ζ52−ζ683ζ44+ζ52+3ζ68−ζ44−3ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4−3ζ44−ζ523ζ4+ζ44+3ζ52ζ4+ζ68ζ4+ζ68ζ4−3ζ68−3ζ4+ζ68000000000000000000000000
χ4866-3-33ζ4−3ζ44+3ζ52−3ζ4−3ζ683ζ44−3ζ52+3ζ683ζ4−3ζ44+3ζ52−3ζ4−3ζ683ζ44−3ζ52+3ζ6866-2-2-3-33ζ4−3ζ44+3ζ523ζ4−3ζ44+3ζ52−3ζ4−3ζ68−3ζ4−3ζ683ζ44−3ζ52+3ζ683ζ44−3ζ52+3ζ68-21111−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68000000000000000000000000
χ4966-3-33ζ4−3ζ44+3ζ52−3ζ4−3ζ683ζ44−3ζ52+3ζ683ζ4−3ζ44+3ζ52−3ζ4−3ζ683ζ44−3ζ52+3ζ68-2-26-211−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68-2-31113ζ4−3ζ44+3ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−3ζ4−3ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ683ζ44−3ζ52+3ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68000000000000000000000000
χ5066-3-33ζ4−3ζ44+3ζ52−3ζ4−3ζ683ζ44−3ζ52+3ζ683ζ4−3ζ44+3ζ52−3ζ4−3ζ683ζ44−3ζ52+3ζ68-2-2-2611−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68-21-311−ζ4+ζ44−ζ523ζ4−3ζ44+3ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68−3ζ4−3ζ68ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ683ζ44−3ζ52+3ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68000000000000000000000000
χ5166-3-33ζ4−3ζ44+3ζ52−3ζ4−3ζ683ζ44−3ζ52+3ζ683ζ4−3ζ44+3ζ52−3ζ4−3ζ683ζ44−3ζ52+3ζ68-2-2-2-211−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68211−1−2i3−1+2i3−ζ4+ζ44−ζ52−ζ4+ζ44−ζ523ζ4+ζ44+3ζ52−ζ4−3ζ44−ζ52ζ4+ζ68ζ4+ζ68−3ζ4+ζ68ζ4−3ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44−3ζ52−ζ683ζ44+ζ52+3ζ68000000000000000000000000
χ5266-3-33ζ4−3ζ44+3ζ52−3ζ4−3ζ683ζ44−3ζ52+3ζ683ζ4−3ζ44+3ζ52−3ζ4−3ζ683ζ44−3ζ52+3ζ68-2-2-2-211−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68211−1+2i3−1−2i3−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4−3ζ44−ζ523ζ4+ζ44+3ζ52ζ4+ζ68ζ4+ζ68ζ4−3ζ68−3ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ683ζ44+ζ52+3ζ68−ζ44−3ζ52−ζ68000000000000000000000000
χ5366-3-3−3ζ4−3ζ683ζ44−3ζ52+3ζ683ζ4−3ζ44+3ζ52−3ζ4−3ζ683ζ44−3ζ52+3ζ683ζ4−3ζ44+3ζ5266-2-2-3-3−3ζ4−3ζ68−3ζ4−3ζ683ζ44−3ζ52+3ζ683ζ44−3ζ52+3ζ683ζ4−3ζ44+3ζ523ζ4−3ζ44+3ζ52-21111ζ4+ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52000000000000000000000000
χ5466-3-3−3ζ4−3ζ683ζ44−3ζ52+3ζ683ζ4−3ζ44+3ζ52−3ζ4−3ζ683ζ44−3ζ52+3ζ683ζ4−3ζ44+3ζ52-2-26-211ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52-2-3111−3ζ4−3ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ683ζ44−3ζ52+3ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ683ζ4−3ζ44+3ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52000000000000000000000000
χ5566-3-3−3ζ4−3ζ683ζ44−3ζ52+3ζ683ζ4−3ζ44+3ζ52−3ζ4−3ζ683ζ44−3ζ52+3ζ683ζ4−3ζ44+3ζ52-2-2-2611ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52-21-311ζ4+ζ68−3ζ4−3ζ68ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ683ζ44−3ζ52+3ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ523ζ4−3ζ44+3ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52000000000000000000000000
χ5666-3-3−3ζ4−3ζ683ζ44−3ζ52+3ζ683ζ4−3ζ44+3ζ52−3ζ4−3ζ683ζ44−3ζ52+3ζ683ζ4−3ζ44+3ζ52-2-2-2-211ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52211−1−2i3−1+2i3ζ4+ζ68ζ4+ζ68−3ζ4+ζ68ζ4−3ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44−3ζ52−ζ683ζ44+ζ52+3ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ523ζ4+ζ44+3ζ52−ζ4−3ζ44−ζ52000000000000000000000000
χ5766-3-3−3ζ4−3ζ683ζ44−3ζ52+3ζ683ζ4−3ζ44+3ζ52−3ζ4−3ζ683ζ44−3ζ52+3ζ683ζ4−3ζ44+3ζ52-2-2-2-211ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52211−1+2i3−1−2i3ζ4+ζ68ζ4+ζ68ζ4−3ζ68−3ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ683ζ44+ζ52+3ζ68−ζ44−3ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4−3ζ44−ζ523ζ4+ζ44+3ζ52000000000000000000000000
χ586-66-6666-6-6-62-200-22-22-22-2200000000000000000000000000000000000−i2i2i2−i200
χ596-66-6666-6-6-62-200-22-22-22-2200000000000000000000000000000000000i2−i2−i2i200
χ6012-1212-12-6-6-66664-400-442-22-22-200000000000000000000000000000000000000000
χ6112-12-666ζ44−6ζ52+6ζ686ζ4−6ζ44+6ζ52−6ζ4−6ζ68−6ζ44+6ζ52−6ζ68−6ζ4+6ζ44−6ζ526ζ4+6ζ684-4002-2−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ4−2ζ6800000000000000000000000000000000000000000
χ6212-12-666ζ4−6ζ44+6ζ52−6ζ4−6ζ686ζ44−6ζ52+6ζ68−6ζ4+6ζ44−6ζ526ζ4+6ζ68−6ζ44+6ζ52−6ζ684-4002-2−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ4−2ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ6800000000000000000000000000000000000000000
χ6312-12-66−6ζ4−6ζ686ζ44−6ζ52+6ζ686ζ4−6ζ44+6ζ526ζ4+6ζ68−6ζ44+6ζ52−6ζ68−6ζ4+6ζ44−6ζ524-4002-22ζ4+2ζ68−2ζ4−2ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ5200000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 72 (ζ72 = 1); i = ζ18.