Finite Group Databasebeta

← Group #14518081

Character table — Group #14518081

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51
size1222236666666999918181818181818181818181818242424242424242424727272727272162162162162162162
order13333266669993366669918181818181818181899999999999999924661212
χ1111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1
χ31111111111111−1+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−i32111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32
χ41111111111111−1+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−i32111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11−i321+i321−i321+i32
χ51111111111111−1−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+i32111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32
χ61111111111111−1−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+i32111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11+i321−i321+i321−i32
χ7222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000
χ82222222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-1-1-1-1-1-11−i321−i321−i321+i321+i321+i32000000
χ92222222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-1-1-1-1-1-11+i321+i321+i321−i321−i321−i32000000
χ102222222222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-12-1-12-1-1000000
χ112222222222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-12-1-12-1000000
χ122222222222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-12-1-12000000
χ132222222222-1-1-1−1+i3−1−i3−1+i3−1−i3−1+i3−1−i31−i321+i32-1-1-11−i321−i321−i321+i321+i321+i32222-1-1-1-1-1-1−1+i31−i321−i32−1−i31+i321+i32000000
χ142222222222-1-1-1−1+i3−1−i3−1+i3−1−i3−1+i3−1−i31−i321+i32-1-1-11−i321−i321−i321+i321+i321+i32-1-1-1222-1-1-11−i32−1+i31−i321+i32−1−i31+i32000000
χ152222222222-1-1-1−1+i3−1−i3−1+i3−1−i3−1+i3−1−i31−i321+i32-1-1-11−i321−i321−i321+i321+i321+i32-1-1-1-1-1-12221−i321−i32−1+i31+i321+i32−1−i3000000
χ162222222222-1-1-1−1−i3−1+i3−1−i3−1+i3−1−i3−1+i31+i321−i32-1-1-11+i321+i321+i321−i321−i321−i32222-1-1-1-1-1-1−1−i31+i321+i32−1+i31−i321−i32000000
χ172222222222-1-1-1−1−i3−1+i3−1−i3−1+i3−1−i3−1+i31+i321−i32-1-1-11+i321+i321+i321−i321−i321−i32-1-1-1222-1-1-11+i32−1−i31+i321−i32−1+i31−i32000000
χ182222222222-1-1-1−1−i3−1+i3−1−i3−1+i3−1−i3−1+i31+i321−i32-1-1-11+i321+i321+i321−i321−i321−i32-1-1-1-1-1-12221+i321+i32−1−i31−i321−i32−1+i3000000
χ1933333-1-1-1-1-133333-1-1-1-133-1-1-1-1-1-1-1-1-10000000000000001-111-1-1
χ2033333-1-1-1-1-133333-1-1-1-133-1-1-1-1-1-1-1-1-1000000000000000-11-1-111
χ2133333-1-1-1-1-1333−3+3i32−3−3i321−i321+i321−i321+i32−3+3i32−3−3i32-1-1-11−i321−i321−i321+i321+i321+i320000000000000001-1−1+i32−1−i321−i321+i32
χ2233333-1-1-1-1-1333−3+3i32−3−3i321−i321+i321−i321+i32−3+3i32−3−3i32-1-1-11−i321−i321−i321+i321+i321+i32000000000000000-111−i321+i32−1+i32−1−i32
χ2333333-1-1-1-1-1333−3−3i32−3+3i321+i321−i321+i321−i32−3−3i32−3+3i32-1-1-11+i321+i321+i321−i321−i321−i320000000000000001-1−1−i32−1+i321+i321−i32
χ2433333-1-1-1-1-1333−3−3i32−3+3i321+i321−i321+i321−i32−3−3i32−3+3i32-1-1-11+i321+i321+i321−i321−i321−i32000000000000000-111+i321−i32−1−i32−1+i32
χ2566666-2-2-2-2-2-3-3-366-2-2-2-2-3-3111111111000000000000000000000
χ2666666-2-2-2-2-2-3-3-3−3+3i3−3−3i31−i31+i31−i31+i33−3i323+3i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32000000000000000000000
χ2766666-2-2-2-2-2-3-3-3−3−3i3−3+3i31+i31−i31+i31−i33+3i323−3i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32000000000000000000000
χ2866-3-3-366-3-3-36-3-3000000006-3-3000000000000000000000000000
χ2966-3-3-366-3-3-3-36-300000000-36-3000000000000000000000000000
χ3066-3-3-366-3-3-3-3-3600000000-3-36000000000000000000000000000
χ3166-3-3-3-2-21116-3-30044-2-200-2114-2-24-2-2000000000000000000000
χ3266-3-3-3-2-21116-3-300−2+2i3−2−2i31−i31+i300-211−2+2i31−i31−i3−2−2i31+i31+i3000000000000000000000
χ3366-3-3-3-2-21116-3-300−2−2i3−2+2i31+i31−i300-211−2−2i31+i31+i3−2+2i31−i31−i3000000000000000000000
χ3466-3-3-3-2-2111-36-30044-2-2001-21-24-2-24-2000000000000000000000
χ3566-3-3-3-2-2111-36-300−2+2i3−2−2i31−i31+i3001-211−i3−2+2i31−i31+i3−2−2i31+i3000000000000000000000
χ3666-3-3-3-2-2111-36-300−2−2i3−2+2i31+i31−i3001-211+i3−2−2i31+i31−i3−2+2i31−i3000000000000000000000
χ3766-3-3-3-2-2111-3-360044-2-20011-2-2-24-2-24000000000000000000000
χ3866-3-3-3-2-2111-3-3600−2+2i3−2−2i31−i31+i30011-21−i31−i3−2+2i31+i31+i3−2−2i3000000000000000000000
χ3966-3-3-3-2-2111-3-3600−2−2i3−2+2i31+i31−i30011-21+i31+i3−2−2i31−i31−i3−2+2i3000000000000000000000
χ406-36-3-36-36-3-3000000000000000000000000003ζ+3ζ83ζ2+3ζ73ζ4+3ζ5000000000000
χ416-36-3-36-36-3-3000000000000000000000000003ζ2+3ζ73ζ4+3ζ53ζ+3ζ8000000000000
χ426-36-3-36-36-3-3000000000000000000000000003ζ4+3ζ53ζ+3ζ83ζ2+3ζ7000000000000
χ436-3-36-36-3-36-3000000000000000000000006-3-3000000000000000
χ446-3-36-36-3-36-300000000000000000000000-36-3000000000000000
χ456-3-36-36-3-36-300000000000000000000000-3-36000000000000000
χ466-3-3-366-3-3-36000000000000000000003ζ+3ζ83ζ2+3ζ73ζ4+3ζ5000000000000000000
χ476-3-3-366-3-3-36000000000000000000003ζ2+3ζ73ζ4+3ζ53ζ+3ζ8000000000000000000
χ486-3-3-366-3-3-36000000000000000000003ζ4+3ζ53ζ+3ζ83ζ2+3ζ7000000000000000000
χ4918-918-9-9-63-63300000000000000000000000000000000000000000
χ5018-9-918-9-633-6300000000000000000000000000000000000000000
χ5118-9-9-918-6333-600000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 9 (ζ9 = 1); i = ζ2.