Finite Group Databasebeta

← Group #72253805

Character table — Group #72253805

Order 2916.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1222223344446666666912121212121212121212121212121818181818181818181818181827273636363636363636365454545454545454545454818181818181162162162162162162
order133333333333333333323333333333333366669999999996699999999966181818181818181818226666666666
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-111111111111111-1-1-1-1111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-11-111-1-1111-1-1-1
χ41111111111111111111-111111111111111-1-1-1-1111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1111
χ5111111−1+i32−1−i321111−1+i32−1−i321−1+i32−1+i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ6111111−1+i32−1−i321111−1+i32−1−i321−1+i32−1+i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11−i321+i321−i321+i32-11−i321+i32-11−i321+i32
χ7111111−1+i32−1−i321111−1+i32−1−i321−1+i32−1+i32−1−i32−1−i32-11111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321+i32-1-1-11−i321−i321−i321+i321+i321+i321-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32
χ8111111−1+i32−1−i321111−1+i32−1−i321−1+i32−1+i32−1−i32−1−i32-11111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321+i32-1-1-11−i321−i321−i321+i321+i321+i32-111−i321+i32−1+i32−1−i32-11−i321+i321−1+i32−1−i32
χ9111111−1−i32−1+i321111−1−i32−1+i321−1−i32−1−i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i321111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ10111111−1−i32−1+i321111−1−i32−1+i321−1−i32−1−i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i321111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11+i321−i321+i321−i32-11+i321−i32-11+i321−i32
χ11111111−1−i32−1+i321111−1−i32−1+i321−1−i32−1−i32−1+i32−1+i32-11111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321−i32-1-1-11+i321+i321+i321−i321−i321−i321-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32
χ12111111−1−i32−1+i321111−1−i32−1+i321−1−i32−1−i32−1+i32−1+i32-11111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321−i32-1-1-11+i321+i321+i321−i321−i321−i32-111+i321−i32−1−i32−1+i32-11+i321−i321−1−i32−1+i32
χ1322222222222222222222222222222222222222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1000000000000
χ142222222222222222222-222222222222222-2-2-2-2-1-1-1-1-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-2-2111111111000000000000
χ1522222222222222-12-12-10-1-1-1-12-1-1-1-12-1-1-1-1000022222222200-1-1-1-1-1-1-1-1-100000000000020022000-1-1-1
χ1622222222222222-12-12-10-1-1-1-12-1-1-1-12-1-1-1-1000022222222200-1-1-1-1-1-1-1-1-1000000000000-200-2-2000111
χ17222222−1+i3−1−i32222−1+i3−1−i32−1+i3−1+i3−1−i3−1−i322222−1+i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3−1−i32222-1-1-11−i321−i321−i321+i321+i321+i32−1+i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32−1+i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32000000000000
χ18222222−1+i3−1−i32222−1+i3−1−i32−1+i3−1+i3−1−i3−1−i3-22222−1+i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3−1−i3-2-2-2-2-1-1-11−i321−i321−i321+i321+i321+i321−i31+i3-1-1-11−i321−i321−i321+i321+i321+i321−i31+i3111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32000000000000
χ19222222−1+i3−1−i32222−1+i3−1−i3-1−1+i31−i32−1−i31+i320-1-1-1-1−1+i31−i321−i321−i321−i32−1−i31+i321+i321+i321+i320000222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i300-1-1-11−i321−i321−i321+i321+i321+i32000000000000200−1+i3−1−i3000-11−i321+i32
χ20222222−1+i3−1−i32222−1+i3−1−i3-1−1+i31−i32−1−i31+i320-1-1-1-1−1+i31−i321−i321−i321−i32−1−i31+i321+i321+i321+i320000222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i300-1-1-11−i321−i321−i321+i321+i321+i32000000000000-2001−i31+i30001−1+i32−1−i32
χ21222222−1−i3−1+i32222−1−i3−1+i32−1−i3−1−i3−1+i3−1+i322222−1−i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3−1+i32222-1-1-11+i321+i321+i321−i321−i321−i32−1−i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32−1−i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32000000000000
χ22222222−1−i3−1+i32222−1−i3−1+i32−1−i3−1−i3−1+i3−1+i3-22222−1−i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3−1+i3-2-2-2-2-1-1-11+i321+i321+i321−i321−i321−i321+i31−i3-1-1-11+i321+i321+i321−i321−i321−i321+i31−i3111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32000000000000
χ23222222−1−i3−1+i32222−1−i3−1+i3-1−1−i31+i32−1+i31−i320-1-1-1-1−1−i31+i321+i321+i321+i32−1+i31−i321−i321−i321−i320000222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i300-1-1-11+i321+i321+i321−i321−i321−i32000000000000200−1−i3−1+i3000-11+i321−i32
χ24222222−1−i3−1+i32222−1−i3−1+i3-1−1−i31+i32−1+i31−i320-1-1-1-1−1−i31+i321+i321+i321+i32−1+i31−i321−i321−i321−i320000222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i300-1-1-11+i321+i321+i321−i321−i321−i32000000000000-2001+i31−i30001−1−i32−1+i32
χ252-1-1-122222-1-1-1-1-12222222-1-1-1-12-1-1-1-12-1-1-1-1-1-122-1-12-1-12-1-1222-1-12-1-12-1-1-1-12-1-12-1-12-1-1000000000000
χ262-1-1-122222-1-1-1-1-12222222-1-1-1-12-1-1-1-12-1-1-1-1-1-12-12-1-12-1-12-122-12-1-12-1-12-1-1-1-12-1-12-1-12-1000000000000
χ272-1-1-122222-1-1-1-1-12222222-1-1-1-12-1-1-1-12-1-1-1-1-1-12-1-12-1-12-1-1222-1-12-1-12-1-12-1-1-1-12-1-12-1-12000000000000
χ282-1-1-122222-1-1-1-1-122222-22-1-1-1-12-1-1-1-12-1-1-1111-22-1-12-1-12-1-1-2-22-1-12-1-12-1-111-211-211-211000000000000
χ292-1-1-122222-1-1-1-1-122222-22-1-1-1-12-1-1-1-12-1-1-1111-2-12-1-12-1-12-1-2-2-12-1-12-1-12-1111-211-211-21000000000000
χ302-1-1-122222-1-1-1-1-122222-22-1-1-1-12-1-1-1-12-1-1-1111-2-1-12-1-12-1-12-2-2-1-12-1-12-1-121111-211-211-2000000000000
χ312-1-1-122−1+i3−1−i32-1-1-11−i321+i322−1+i3−1+i3−1−i3−1−i322-1-1-11−i32−1+i31−i321−i321−i321+i32−1−i31+i321+i321+i32-1-1-122-1-1−1+i31−i321−i32−1−i31+i321+i32−1+i3−1−i32-1-1−1+i31−i321−i32−1−i31+i321+i321−i321+i322-1-1−1+i31−i321−i32−1−i31+i321+i32000000000000
χ322-1-1-122−1+i3−1−i32-1-1-11−i321+i322−1+i3−1+i3−1−i3−1−i322-1-1-11−i32−1+i31−i321−i321−i321+i32−1−i31+i321+i321+i32-1-1-12-12-11−i32−1+i31−i321+i32−1−i31+i32−1+i3−1−i3-12-11−i32−1+i31−i321+i32−1−i31+i321−i321+i32-12-11−i32−1+i31−i321+i32−1−i31+i32000000000000
χ332-1-1-122−1+i3−1−i32-1-1-11−i321+i322−1+i3−1+i3−1−i3−1−i322-1-1-11−i32−1+i31−i321−i321−i321+i32−1−i31+i321+i321+i32-1-1-12-1-121−i321−i32−1+i31+i321+i32−1−i3−1+i3−1−i3-1-121−i321−i32−1+i31+i321+i32−1−i31−i321+i32-1-121−i321−i32−1+i31+i321+i32−1−i3000000000000
χ342-1-1-122−1+i3−1−i32-1-1-11−i321+i322−1+i3−1+i3−1−i3−1−i3-22-1-1-11−i32−1+i31−i321−i321−i321+i32−1−i31+i321+i321+i32111-22-1-1−1+i31−i321−i32−1−i31+i321+i321−i31+i32-1-1−1+i31−i321−i32−1−i31+i321+i32−1+i32−1−i32-2111−i3−1+i32−1+i321+i3−1−i32−1−i32000000000000
χ352-1-1-122−1+i3−1−i32-1-1-11−i321+i322−1+i3−1+i3−1−i3−1−i3-22-1-1-11−i32−1+i31−i321−i321−i321+i32−1−i31+i321+i321+i32111-2-12-11−i32−1+i31−i321+i32−1−i31+i321−i31+i3-12-11−i32−1+i31−i321+i32−1−i31+i32−1+i32−1−i321-21−1+i321−i3−1+i32−1−i321+i3−1−i32000000000000
χ362-1-1-122−1+i3−1−i32-1-1-11−i321+i322−1+i3−1+i3−1−i3−1−i3-22-1-1-11−i32−1+i31−i321−i321−i321+i32−1−i31+i321+i321+i32111-2-1-121−i321−i32−1+i31+i321+i32−1−i31−i31+i3-1-121−i321−i32−1+i31+i321+i32−1−i3−1+i32−1−i3211-2−1+i32−1+i321−i3−1−i32−1−i321+i3000000000000
χ372-1-1-122−1−i3−1+i32-1-1-11+i321−i322−1−i3−1−i3−1+i3−1+i322-1-1-11+i32−1−i31+i321+i321+i321−i32−1+i31−i321−i321−i32-1-1-122-1-1−1−i31+i321+i32−1+i31−i321−i32−1−i3−1+i32-1-1−1−i31+i321+i32−1+i31−i321−i321+i321−i322-1-1−1−i31+i321+i32−1+i31−i321−i32000000000000
χ382-1-1-122−1−i3−1+i32-1-1-11+i321−i322−1−i3−1−i3−1+i3−1+i322-1-1-11+i32−1−i31+i321+i321+i321−i32−1+i31−i321−i321−i32-1-1-12-12-11+i32−1−i31+i321−i32−1+i31−i32−1−i3−1+i3-12-11+i32−1−i31+i321−i32−1+i31−i321+i321−i32-12-11+i32−1−i31+i321−i32−1+i31−i32000000000000
χ392-1-1-122−1−i3−1+i32-1-1-11+i321−i322−1−i3−1−i3−1+i3−1+i322-1-1-11+i32−1−i31+i321+i321+i321−i32−1+i31−i321−i321−i32-1-1-12-1-121+i321+i32−1−i31−i321−i32−1+i3−1−i3−1+i3-1-121+i321+i32−1−i31−i321−i32−1+i31+i321−i32-1-121+i321+i32−1−i31−i321−i32−1+i3000000000000
χ402-1-1-122−1−i3−1+i32-1-1-11+i321−i322−1−i3−1−i3−1+i3−1+i3-22-1-1-11+i32−1−i31+i321+i321+i321−i32−1+i31−i321−i321−i32111-22-1-1−1−i31+i321+i32−1+i31−i321−i321+i31−i32-1-1−1−i31+i321+i32−1+i31−i321−i32−1−i32−1+i32-2111+i3−1−i32−1−i321−i3−1+i32−1+i32000000000000
χ412-1-1-122−1−i3−1+i32-1-1-11+i321−i322−1−i3−1−i3−1+i3−1+i3-22-1-1-11+i32−1−i31+i321+i321+i321−i32−1+i31−i321−i321−i32111-2-12-11+i32−1−i31+i321−i32−1+i31−i321+i31−i3-12-11+i32−1−i31+i321−i32−1+i31−i32−1−i32−1+i321-21−1−i321+i3−1−i32−1+i321−i3−1+i32000000000000
χ422-1-1-122−1−i3−1+i32-1-1-11+i321−i322−1−i3−1−i3−1+i3−1+i3-22-1-1-11+i32−1−i31+i321+i321+i321−i32−1+i31−i321−i321−i32111-2-1-121+i321+i32−1−i31−i321−i32−1+i31+i31−i3-1-121+i321+i32−1−i31−i321−i32−1+i3−1−i32−1+i3211-2−1−i32−1−i321+i3−1+i32−1+i321−i3000000000000
χ4344444444444444-24-24-20-2-2-2-24-2-2-2-24-2-2-2-20000-2-2-2-2-2-2-2-2-20011111111100000000000000000000000
χ44444444−2+2i3−2−2i34444−2+2i3−2−2i3-2−2+2i31−i3−2−2i31+i30-2-2-2-2−2+2i31−i31−i31−i31−i3−2−2i31+i31+i31+i31+i30000-2-2-21−i31−i31−i31+i31+i31+i300111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3200000000000000000000000
χ45444444−2−2i3−2+2i34444−2−2i3−2+2i3-2−2−2i31+i3−2+2i31−i30-2-2-2-2−2−2i31+i31+i31+i31+i3−2+2i31−i31−i31−i31−i30000-2-2-21+i31+i31+i31−i31−i31−i300111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3200000000000000000000000
χ464-2-2-244444-2-2-2-2-2-24-24-20-2111-2-2111-2-211100004-2-24-2-24-2-200-211-211-21100000000000000000000000
χ474-2-2-244444-2-2-2-2-2-24-24-20-2111-2-2111-2-21110000-24-2-24-2-24-2001-211-211-2100000000000000000000000
χ484-2-2-244444-2-2-2-2-2-24-24-20-2111-2-2111-2-21110000-2-24-2-24-2-240011-211-211-200000000000000000000000
χ494-2-2-244−2+2i3−2−2i34-2-2-21−i31+i3-2−2+2i31−i3−2−2i31+i30-21111−i31−i3−1+i32−1+i32−1+i321+i31+i3−1−i32−1−i32−1−i3200004-2-2−2+2i31−i31−i3−2−2i31+i31+i300-2111−i3−1+i32−1+i321+i3−1−i32−1−i3200000000000000000000000
χ504-2-2-244−2+2i3−2−2i34-2-2-21−i31+i3-2−2+2i31−i3−2−2i31+i30-21111−i31−i3−1+i32−1+i32−1+i321+i31+i3−1−i32−1−i32−1−i320000-24-21−i3−2+2i31−i31+i3−2−2i31+i3001-21−1+i321−i3−1+i32−1−i321+i3−1−i3200000000000000000000000
χ514-2-2-244−2+2i3−2−2i34-2-2-21−i31+i3-2−2+2i31−i3−2−2i31+i30-21111−i31−i3−1+i32−1+i32−1+i321+i31+i3−1−i32−1−i32−1−i320000-2-241−i31−i3−2+2i31+i31+i3−2−2i30011-2−1+i32−1+i321−i3−1−i32−1−i321+i300000000000000000000000
χ524-2-2-244−2−2i3−2+2i34-2-2-21+i31−i3-2−2−2i31+i3−2+2i31−i30-21111+i31+i3−1−i32−1−i32−1−i321−i31−i3−1+i32−1+i32−1+i3200004-2-2−2−2i31+i31+i3−2+2i31−i31−i300-2111+i3−1−i32−1−i321−i3−1+i32−1+i3200000000000000000000000
χ534-2-2-244−2−2i3−2+2i34-2-2-21+i31−i3-2−2−2i31+i3−2+2i31−i30-21111+i31+i3−1−i32−1−i32−1−i321−i31−i3−1+i32−1+i32−1+i320000-24-21+i3−2−2i31+i31−i3−2+2i31−i3001-21−1−i321+i3−1−i32−1+i321−i3−1+i3200000000000000000000000
χ544-2-2-244−2−2i3−2+2i34-2-2-21+i31−i3-2−2−2i31+i3−2+2i31−i30-21111+i31+i3−1−i32−1−i32−1−i321−i31−i3−1+i32−1+i32−1+i320000-2-241+i31+i3−2−2i31−i31−i3−2+2i30011-2−1−i32−1−i321+i3−1+i32−1+i321−i300000000000000000000000
χ556666-3666-3-3-3-3660-30-3000000-30000-3000000000000000000000000000000000000000202200-1-1-1000
χ566666-3666-3-3-3-3660-30-3000000-30000-3000000000000000000000000000000000000000-20-2-200111000
χ576666-36−3+3i3−3−3i3-3-3-3-3−3+3i3−3−3i303−3i3203+3i320000003−3i3200003+3i3200000000000000000000000000000000000000020−1+i3−1−i300-11−i321+i32000
χ586666-36−3+3i3−3−3i3-3-3-3-3−3+3i3−3−3i303−3i3203+3i320000003−3i3200003+3i32000000000000000000000000000000000000000-201−i31+i3001−1+i32−1−i32000
χ596666-36−3−3i3−3+3i3-3-3-3-3−3−3i3−3+3i303+3i3203−3i320000003+3i3200003−3i3200000000000000000000000000000000000000020−1−i3−1+i300-11+i321−i32000
χ606666-36−3−3i3−3+3i3-3-3-3-3−3−3i3−3+3i303+3i3203−3i320000003+3i3200003−3i32000000000000000000000000000000000000000-201+i31−i3001−1−i32−1+i32000
χ6166-3-36-300-36-3-300600006-36-3-300000000006-3-3-30000000000000000000000000000000000000000000
χ6266-3-36-300-36-3-30060000-6-36-3-30000000000-63330000000000000000000000000000000000000000000
χ636-36-36-300-3-36-300600006-3-36-30000000000-36-3-30000000000000000000000000000000000000000000
χ646-36-36-300-3-36-30060000-6-3-36-300000000003-6330000000000000000000000000000000000000000000
χ656-3-366-300-3-3-3600600006-3-3-360000000000-3-36-30000000000000000000000000000000000000000000
χ666-3-366-300-3-3-360060000-6-3-3-36000000000033-630000000000000000000000000000000000000000000
χ671212-6-612-600-612-6-600-6000003-633000000000000000000000000000000000000000000000000000000000
χ681212-6-6-6-6003-6330000606000000-36-3-30-36-3-300000000000000000000000000000000000000000000000
χ691212-6-6-6-6003-6330000−3+3i30−3−3i30000003−3i32−3+3i33−3i323−3i3203+3i32−3−3i33+3i323+3i3200000000000000000000000000000000000000000000000
χ701212-6-6-6-6003-6330000−3−3i30−3+3i30000003+3i32−3−3i33+3i323+3i3203−3i32−3+3i33−3i323−3i3200000000000000000000000000000000000000000000000
χ7112-612-612-600-6-612-600-60000033-63000000000000000000000000000000000000000000000000000000000
χ7212-612-6-6-60033-630000606000000-3-36-30-3-36-300000000000000000000000000000000000000000000000
χ7312-612-6-6-60033-630000−3+3i30−3−3i30000003−3i323−3i32−3+3i33−3i3203+3i323+3i32−3−3i33+3i3200000000000000000000000000000000000000000000000
χ7412-612-6-6-60033-630000−3−3i30−3+3i30000003+3i323+3i32−3−3i33+3i3203−3i323−3i32−3+3i33−3i3200000000000000000000000000000000000000000000000
χ7512-6-61212-600-6-6-61200-600000333-6000000000000000000000000000000000000000000000000000000000
χ7612-6-612-6-600333-60000606000000-3-3-360-3-3-3600000000000000000000000000000000000000000000000
χ7712-6-612-6-600333-60000−3+3i30−3−3i30000003−3i323−3i323−3i32−3+3i303+3i323+3i323+3i32−3−3i300000000000000000000000000000000000000000000000
χ7812-6-612-6-600333-60000−3−3i30−3+3i30000003+3i323+3i323+3i32−3−3i303−3i323−3i323−3i32−3+3i300000000000000000000000000000000000000000000000
χ7912-6-6-6-6121212-6333-6-60-60-6000000300003000000000000000000000000000000000000000000000000000
χ8012-6-6-6-612−6+6i3−6−6i3-63333−3i33+3i303−3i303+3i3000000−3+3i320000−3−3i32000000000000000000000000000000000000000000000000000
χ8112-6-6-6-612−6−6i3−6+6i3-63333+3i33−3i303+3i303−3i3000000−3−3i320000−3+3i32000000000000000000000000000000000000000000000000000

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