Finite Group Databasebeta

← Group #14516922

Character table — Group #14516922

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70
size1122333366666699181818181818181818181818181827272727272727272727272727272727363636363636545454545454545454545454545454545454
order12363366333666443336669991212181818224466661212121212121212999181818666666121212121212363636363636
χ11111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ311111111111111-1-1111111111-1-111111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111-1-1111111111-1-1111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-1
χ51111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32111−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32
χ61111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32111−1−i32−1+i32-1-1-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32
χ71111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11−1−i32−1+i3211-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32
χ81111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11−1−i32−1+i32-1-1111+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32
χ91111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32111−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32
χ101111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32111−1+i32−1−i32-1-1-1-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32
χ111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−1+i32−1−i3211-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32
χ121111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−1+i32−1−i32-1-1111−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32
χ131-11-111-1-1111-1-1-1i−i111-1-1-1111i−i-1-1-11-1i−i1-11-1i−ii−ii−ii−i111-1-1-11-11-11-1i−ii−ii−ii−ii−ii−i
χ141-11-111-1-1111-1-1-1i−i111-1-1-1111i−i-1-1-1-11−ii-11-11i−ii−i−ii−ii111-1-1-1-11-11-11−ii−ii−iii−ii−ii−i
χ151-11-111-1-1111-1-1-1−ii111-1-1-1111−ii-1-1-11-1−ii1-11-1−ii−ii−ii−ii111-1-1-11-11-11-1−ii−ii−ii−ii−ii−ii
χ161-11-111-1-1111-1-1-1−ii111-1-1-1111−ii-1-1-1-11i−i-11-11−ii−iii−ii−i111-1-1-1-11-11-11i−ii−ii−i−ii−ii−ii
χ171-11-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32i−i1−1−i32−1+i32-11+i321−i321−1−i32−1+i32i−i-11+i321−i321-1i−i−1−i321+i32−1+i321−i32ζ11−ζ11ζ7−ζ7ζ11−ζ11ζ7−ζ71−1−i32−1+i32-11+i321−i321-1−1−i321+i32−1+i321−i32i−iζ11−ζ11ζ7−ζ7i−iζ11−ζ11ζ7−ζ7
χ181-11-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32i−i1−1−i32−1+i32-11+i321−i321−1−i32−1+i32i−i-11+i321−i32-11−ii1+i32−1−i321−i32−1+i32ζ11−ζ11ζ7−ζ7−ζ11ζ11−ζ7ζ71−1−i32−1+i32-11+i321−i32-111+i32−1−i321−i32−1+i32−ii−ζ11ζ11−ζ7ζ7i−iζ11−ζ11ζ7−ζ7
χ191-11-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32−ii1−1−i32−1+i32-11+i321−i321−1−i32−1+i32−ii-11+i321−i321-1−ii−1−i321+i32−1+i321−i32−ζ11ζ11−ζ7ζ7−ζ11ζ11−ζ7ζ71−1−i32−1+i32-11+i321−i321-1−1−i321+i32−1+i321−i32−ii−ζ11ζ11−ζ7ζ7−ii−ζ11ζ11−ζ7ζ7
χ201-11-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32−ii1−1−i32−1+i32-11+i321−i321−1−i32−1+i32−ii-11+i321−i32-11i−i1+i32−1−i321−i32−1+i32−ζ11ζ11−ζ7ζ7ζ11−ζ11ζ7−ζ71−1−i32−1+i32-11+i321−i32-111+i32−1−i321−i32−1+i32i−iζ11−ζ11ζ7−ζ7−ii−ζ11ζ11−ζ7ζ7
χ211-11-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32i−i1−1+i32−1−i32-11−i321+i321−1+i32−1−i32i−i-11−i321+i321-1i−i−1+i321−i32−1−i321+i32ζ7−ζ7ζ11−ζ11ζ7−ζ7ζ11−ζ111−1+i32−1−i32-11−i321+i321-1−1+i321−i32−1−i321+i32i−iζ7−ζ7ζ11−ζ11i−iζ7−ζ7ζ11−ζ11
χ221-11-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32i−i1−1+i32−1−i32-11−i321+i321−1+i32−1−i32i−i-11−i321+i32-11−ii1−i32−1+i321+i32−1−i32ζ7−ζ7ζ11−ζ11−ζ7ζ7−ζ11ζ111−1+i32−1−i32-11−i321+i32-111−i32−1+i321+i32−1−i32−ii−ζ7ζ7−ζ11ζ11i−iζ7−ζ7ζ11−ζ11
χ231-11-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32−ii1−1+i32−1−i32-11−i321+i321−1+i32−1−i32−ii-11−i321+i321-1−ii−1+i321−i32−1−i321+i32−ζ7ζ7−ζ11ζ11−ζ7ζ7−ζ11ζ111−1+i32−1−i32-11−i321+i321-1−1+i321−i32−1−i321+i32−ii−ζ7ζ7−ζ11ζ11−ii−ζ7ζ7−ζ11ζ11
χ241-11-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32−ii1−1+i32−1−i32-11−i321+i321−1+i32−1−i32−ii-11−i321+i32-11i−i1−i32−1+i321+i32−1−i32−ζ7ζ7−ζ11ζ11ζ7−ζ7ζ11−ζ111−1+i32−1−i32-11−i321+i32-111−i32−1+i321+i32−1−i32i−iζ7−ζ7ζ11−ζ11−ii−ζ7ζ7−ζ11ζ11
χ252222222222222200-1-1-1-1-1-1222002222200222200000000-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ262222222222222200-1-1-1-1-1-122200222-2-200-2-2-2-200000000-1-1-1-1-1-1111111000000000000
χ272222222222222222222222-1-1-122-1-1-10000000022220000-1-1-1-1-1-1000000000000-1-1-1-1-1-1
χ2822222222222222-2-2222222-1-1-1-2-2-1-1-100000000-2-2-2-20000-1-1-1-1-1-1000000000000111111
χ292222−1−i3−1+i3−1−i3−1+i32−1−i3−1+i32−1−i3−1+i300-11+i321−i32-11+i321−i322−1−i3−1+i3002−1−i3−1+i32200−1−i3−1−i3−1+i3−1+i300000000-11+i321−i32-11+i321−i32-1-11+i321+i321−i321−i32000000000000
χ302222−1−i3−1+i3−1−i3−1+i32−1−i3−1+i32−1−i3−1+i300-11+i321−i32-11+i321−i322−1−i3−1+i3002−1−i3−1+i3-2-2001+i31+i31−i31−i300000000-11+i321−i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i32000000000000
χ312222−1−i3−1+i3−1−i3−1+i32−1−i3−1+i32−1−i3−1+i3222−1−i3−1+i32−1−i3−1+i3-11+i321−i3222-11+i321−i3200000000−1−i3−1−i3−1+i3−1+i30000-11+i321−i32-11+i321−i32000000000000-1-11+i321+i321−i321−i32
χ322222−1−i3−1+i3−1−i3−1+i32−1−i3−1+i32−1−i3−1+i3-2-22−1−i3−1+i32−1−i3−1+i3-11+i321−i32-2-2-11+i321−i32000000001+i31+i31−i31−i30000-11+i321−i32-11+i321−i3200000000000011−1−i32−1−i32−1+i32−1+i32
χ332222−1+i3−1−i3−1+i3−1−i32−1+i3−1−i32−1+i3−1−i300-11−i321+i32-11−i321+i322−1+i3−1−i3002−1+i3−1−i32200−1+i3−1+i3−1−i3−1−i300000000-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i32000000000000
χ342222−1+i3−1−i3−1+i3−1−i32−1+i3−1−i32−1+i3−1−i300-11−i321+i32-11−i321+i322−1+i3−1−i3002−1+i3−1−i3-2-2001−i31−i31+i31+i300000000-11−i321+i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i32000000000000
χ352222−1+i3−1−i3−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3222−1+i3−1−i32−1+i3−1−i3-11−i321+i3222-11−i321+i3200000000−1+i3−1+i3−1−i3−1−i30000-11−i321+i32-11−i321+i32000000000000-1-11−i321−i321+i321+i32
χ362222−1+i3−1−i3−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3-2-22−1+i3−1−i32−1+i3−1−i3-11−i321+i32-2-2-11−i321+i32000000001−i31−i31+i31+i30000-11−i321+i32-11−i321+i3200000000000011−1+i32−1+i32−1−i32−1−i32
χ372-22-222-2-2222-2-2-200-1-1-111122200-2-2-22-2002-22-200000000-1-1-1111-11-11-11000000000000
χ382-22-222-2-2222-2-2-200-1-1-111122200-2-2-2-2200-22-2200000000-1-1-11111-11-11-1000000000000
χ392-22-222-2-2222-2-2-22i−2i222-2-2-2-1-1-12i−2i111000000002i−2i2i−2i0000-1-1-1111000000000000−ii−ii−ii
χ402-22-222-2-2222-2-2-2−2i2i222-2-2-2-1-1-1−2i2i11100000000−2i2i−2i2i0000-1-1-1111000000000000i−ii−ii−i
χ412-22-2−1−i3−1+i31+i31−i32−1−i3−1+i3-21+i31−i300-11+i321−i321−1−i32−1+i322−1−i3−1+i300-21+i31−i32-200−1−i31+i3−1+i31−i300000000-11+i321−i321−1−i32−1+i32-111+i32−1−i321−i32−1+i32000000000000
χ422-22-2−1−i3−1+i31+i31−i32−1−i3−1+i3-21+i31−i300-11+i321−i321−1−i32−1+i322−1−i3−1+i300-21+i31−i3-22001+i3−1−i31−i3−1+i300000000-11+i321−i321−1−i32−1+i321-1−1−i321+i32−1+i321−i32000000000000
χ432-22-2−1−i3−1+i31+i31−i32−1−i3−1+i3-21+i31−i32i−2i2−1−i3−1+i3-21+i31−i3-11+i321−i322i−2i1−1−i32−1+i32000000002ζ11−2ζ112ζ7−2ζ70000-11+i321−i321−1−i32−1+i32000000000000−ii−ζ11ζ11−ζ7ζ7
χ442-22-2−1−i3−1+i31+i31−i32−1−i3−1+i3-21+i31−i3−2i2i2−1−i3−1+i3-21+i31−i3-11+i321−i32−2i2i1−1−i32−1+i3200000000−2ζ112ζ11−2ζ72ζ70000-11+i321−i321−1−i32−1+i32000000000000i−iζ11−ζ11ζ7−ζ7
χ452-22-2−1+i3−1−i31−i31+i32−1+i3−1−i3-21−i31+i300-11−i321+i321−1+i32−1−i322−1+i3−1−i300-21−i31+i32-200−1+i31−i3−1−i31+i300000000-11−i321+i321−1+i32−1−i32-111−i32−1+i321+i32−1−i32000000000000
χ462-22-2−1+i3−1−i31−i31+i32−1+i3−1−i3-21−i31+i300-11−i321+i321−1+i32−1−i322−1+i3−1−i300-21−i31+i3-22001−i3−1+i31+i3−1−i300000000-11−i321+i321−1+i32−1−i321-1−1+i321−i32−1−i321+i32000000000000
χ472-22-2−1+i3−1−i31−i31+i32−1+i3−1−i3-21−i31+i32i−2i2−1+i3−1−i3-21−i31+i3-11−i321+i322i−2i1−1+i32−1−i32000000002ζ7−2ζ72ζ11−2ζ110000-11−i321+i321−1+i32−1−i32000000000000−ii−ζ7ζ7−ζ11ζ11
χ482-22-2−1+i3−1−i31−i31+i32−1+i3−1−i3-21−i31+i3−2i2i2−1+i3−1−i3-21−i31+i3-11−i321+i32−2i2i1−1+i32−1−i3200000000−2ζ72ζ7−2ζ112ζ110000-11−i321+i321−1+i32−1−i32000000000000i−iζ7−ζ7ζ11−ζ11
χ494444444444444400-2-2-2-2-2-2-2-2-200-2-2-20000000000000000111111000000000000000000
χ504444−2−2i3−2+2i3−2−2i3−2+2i34−2−2i3−2+2i34−2−2i3−2+2i300-21+i31−i3-21+i31−i3-21+i31−i300-21+i31−i300000000000000001−1−i32−1+i321−1−i32−1+i32000000000000000000
χ514444−2+2i3−2−2i3−2+2i3−2−2i34−2+2i3−2−2i34−2+2i3−2−2i300-21−i31+i3-21−i31+i3-21−i31+i300-21−i31+i300000000000000001−1+i32−1−i321−1+i32−1−i32000000000000000000
χ524-44-444-4-4444-4-4-400-2-2-2222-2-2-2002220000000000000000111-1-1-1000000000000000000
χ534-44-4−2−2i3−2+2i32+2i32−2i34−2−2i3−2+2i3-42+2i32−2i300-21+i31−i32−1−i3−1+i3-21+i31−i3002−1−i3−1+i300000000000000001−1−i32−1+i32-11+i321−i32000000000000000000
χ544-44-4−2+2i3−2−2i32−2i32+2i34−2+2i3−2−2i3-42−2i32+2i300-21−i31+i32−1+i3−1−i3-21−i31+i3002−1+i3−1−i300000000000000001−1+i32−1−i32-11−i321+i32000000000000000000
χ5566666666-3-3-3-3-3-300000000000000000022000000002222000000000000-1-1-1-1-1-1000000
χ5666666666-3-3-3-3-3-3000000000000000000-2-200000000-2-2-2-2000000000000111111000000
χ576666−3−3i3−3+3i3−3−3i3−3+3i3-33+3i323−3i32-33+3i323−3i320000000000000000002200000000−1−i3−1−i3−1+i3−1+i3000000000000-1-11+i321+i321−i321−i32000000
χ586666−3−3i3−3+3i3−3−3i3−3+3i3-33+3i323−3i32-33+3i323−3i32000000000000000000-2-2000000001+i31+i31−i31−i300000000000011−1−i32−1−i32−1+i32−1+i32000000
χ596666−3+3i3−3−3i3−3+3i3−3−3i3-33−3i323+3i32-33−3i323+3i320000000000000000002200000000−1+i3−1+i3−1−i3−1−i3000000000000-1-11−i321−i321+i321+i32000000
χ606666−3+3i3−3−3i3−3+3i3−3−3i3-33−3i323+3i32-33−3i323+3i32000000000000000000-2-2000000001−i31−i31+i31+i300000000000011−1+i32−1+i32−1−i32−1−i32000000
χ616-66-666-6-6-3-3-33330000000000000000002i−2i000000002i−2i2i−2i000000000000−ii−ii−ii000000
χ626-66-666-6-6-3-3-3333000000000000000000−2i2i00000000−2i2i−2i2i000000000000i−ii−ii−i000000
χ636-66-6−3−3i3−3+3i33+3i33−3i3-33+3i323−3i323−3−3i32−3+3i320000000000000000002i−2i000000002ζ11−2ζ112ζ7−2ζ7000000000000−ii−ζ11ζ11−ζ7ζ7000000
χ646-66-6−3−3i3−3+3i33+3i33−3i3-33+3i323−3i323−3−3i32−3+3i32000000000000000000−2i2i00000000−2ζ112ζ11−2ζ72ζ7000000000000i−iζ11−ζ11ζ7−ζ7000000
χ656-66-6−3+3i3−3−3i33−3i33+3i3-33−3i323+3i323−3+3i32−3−3i320000000000000000002i−2i000000002ζ7−2ζ72ζ11−2ζ11000000000000−ii−ζ7ζ7−ζ11ζ11000000
χ666-66-6−3+3i3−3−3i33−3i33+3i3-33−3i323+3i323−3+3i32−3−3i32000000000000000000−2i2i00000000−2ζ72ζ7−2ζ112ζ11000000000000i−iζ7−ζ7ζ11−ζ11000000
χ671818-9-9000000000066000000000-3-30000000000000000000000000000000000000000000
χ681818-9-90000000000-6-6000000000330000000000000000000000000000000000000000000
χ6918-18-9900000000006i−6i000000000−3i3i0000000000000000000000000000000000000000000
χ7018-18-990000000000−6i6i0000000003i−3i0000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.