Finite Group Databasebeta

← Group #14518125

Character table — Group #14518125

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size122223333366666666666666666666666666666666666666666666666666727272727272727272162162162162162162
order13333233663333333333366666666666666666666666666666666666666633399999924661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1
χ3222222222222222222222222222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1000000
χ4222222222222-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1000000
χ5222222222222-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1000000
χ6222222222222-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222000000
χ72-1-1-1222222-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-12-1-12-1-1000000
χ82-1-1-1222222-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-12-1-12-1000000
χ92-1-1-1222222-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-12-1-12000000
χ102-1-1-1222222-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-12-1-1-12-1-1-12000000
χ112-1-1-1222222-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-12-1-1-122-1-1000000
χ122-1-1-1222222-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-122-1-1-12-1000000
χ132-1-1-1222222-1-1-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-12-12-1000000
χ142-1-1-1222222-1-1-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222-12-12-1-1-1-12000000
χ152-1-1-1222222-1-1-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222-1-12-12-12-1-1000000
χ16333333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i320000000003333−3+3i32−3−3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i3200000000000000000000000000000000000011−1+i32−1−i32−1+i32−1−i32
χ17333333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i320000000003333−3+3i32−3−3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32000000000000000000000000000000000000-1-11−i321+i321−i321+i32
χ18333333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i320000000003333−3−3i32−3+3i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i3200000000000000000000000000000000000011−1−i32−1+i32−1−i32−1+i32
χ19333333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i320000000003333−3−3i32−3+3i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32000000000000000000000000000000000000-1-11+i321−i321+i321−i32
χ2033333-133-1-133333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000001-111-1-1
χ2133333-133-1-133333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000-11-1-111
χ2233333-1−3+3i32−3−3i321−i321+i32−3+3i32−3−3i32000000000-1-1-1-11−i321+i321−i321−i321−i321+i321+i321+i32222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i30000000001-1−1+i32−1−i321−i321+i32
χ2333333-1−3+3i32−3−3i321−i321+i32−3+3i32−3−3i32000000000-1-1-1-11−i321+i321−i321−i321−i321+i321+i321+i32222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3000000000-111−i321+i32−1+i32−1−i32
χ2433333-1−3−3i32−3+3i321+i321−i32−3−3i32−3+3i32000000000-1-1-1-11+i321−i321+i321+i321+i321−i321−i321−i32222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i30000000001-1−1−i32−1+i321+i321−i32
χ2533333-1−3−3i32−3+3i321+i321−i32−3−3i32−3+3i32000000000-1-1-1-11+i321−i321+i321+i321+i321−i321−i321−i32222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3000000000-111+i321−i32−1−i32−1+i32
χ2666666-266-2-266-3-3-3-3-3-3-3-3-3-2-2-2-2-2-2-2-2-2-2-2-2111111111111111111111111111000000000000000
χ2766666-2−3+3i3−3−3i31−i31+i3−3+3i3−3−3i3000000000-2-2-2-21−i31+i31−i31−i31−i31+i31+i31+i3-2-2-21−i31−i31−i31+i31+i31+i3-2-2-21−i31−i31−i31+i31+i31+i3-2-2-21−i31−i31−i31+i31+i31+i3000000000000000
χ2866666-2−3−3i3−3+3i31+i31−i3−3−3i3−3+3i3000000000-2-2-2-21+i31−i31+i31+i31+i31−i31−i31−i3-2-2-21+i31+i31+i31−i31−i31−i3-2-2-21+i31+i31+i31−i31−i31−i3-2-2-21+i31+i31+i31−i31−i31−i3000000000000000
χ2966-3-3-3600000003-303-303-36-3-3-30000000003-303-303-303-303-303-303-303-303-3000000000000000
χ3066-3-3-360000003-303-303-306-3-3-3000000003-303-303-303-303-303-303-303-303-30000000000000000
χ3166-3-3-36000000-303-303-3036-3-3-300000000-303-303-303-303-303-303-303-303-303000000000000000
χ3266-3-3-3-200440003-303-303-3-2111-2-24-2-24-2-24-51-211-2114-51-211-2114-51-211-211000000000000000
χ3366-3-3-3-20044003-303-303-30-2111-2-24-2-24-2-2-51411-211-2-51411-211-2-51411-211-2000000000000000
χ3466-3-3-3-2004400-303-303-303-2111-2-24-2-24-2-214-51-211-2114-51-211-2114-51-211-21000000000000000
χ3566-3-3-3-200−2+2i3−2−2i30003-303-303-3-21111−i31+i3−2+2i31−i31−i3−2−2i31+i31+i3-2111−i3−2−i31+2i31+i3−2+i31−2i3-2111−i3−2−i31+2i31+i3−2+i31−2i3-2111−i3−2−i31+2i31+i3−2+i31−2i3000000000000000
χ3666-3-3-3-200−2+2i3−2−2i3003-303-303-30-21111−i31+i3−2+2i31−i31−i3−2−2i31+i31+i311-2−2−i31+2i31−i3−2+i31−2i31+i311-2−2−i31+2i31−i3−2+i31−2i31+i311-2−2−i31+2i31−i3−2+i31−2i31+i3000000000000000
χ3766-3-3-3-200−2+2i3−2−2i300-303-303-303-21111−i31+i3−2+2i31−i31−i3−2−2i31+i31+i31-211+2i31−i3−2−i31−2i31+i3−2+i31-211+2i31−i3−2−i31−2i31+i3−2+i31-211+2i31−i3−2−i31−2i31+i3−2+i3000000000000000
χ3866-3-3-3-200−2−2i3−2+2i30003-303-303-3-21111+i31−i3−2−2i31+i31+i3−2+2i31−i31−i3-2111+i3−2+i31−2i31−i3−2−i31+2i3-2111+i3−2+i31−2i31−i3−2−i31+2i3-2111+i3−2+i31−2i31−i3−2−i31+2i3000000000000000
χ3966-3-3-3-200−2−2i3−2+2i3003-303-303-30-21111+i31−i3−2−2i31+i31+i3−2+2i31−i31−i311-2−2+i31−2i31+i3−2−i31+2i31−i311-2−2+i31−2i31+i3−2−i31+2i31−i311-2−2+i31−2i31+i3−2−i31+2i31−i3000000000000000
χ4066-3-3-3-200−2−2i3−2+2i300-303-303-303-21111+i31−i3−2−2i31+i31+i3−2+2i31−i31−i31-211−2i31+i3−2+i31+2i31−i3−2−i31-211−2i31+i3−2+i31+2i31−i3−2−i31-211−2i31+i3−2+i31+2i31−i3−2−i3000000000000000
χ416-36-3-3600000003-33-30-303-36-3-30000000003-303-303-33-303-303-30-303-303-303000000000000000
χ426-36-3-360000003-30-30303-3-36-3-3000000003-303-303-30-303-303-30303-303-303-3000000000000000
χ436-36-3-36000000-30303-33-30-36-3-300000000-303-303-30303-303-303-33-303-303-30000000000000000
χ446-36-3-3-200440003-33-30-3031-211-2-2-24-2-24-24-51-211-211-51411-211-214-51-211-21000000000000000
χ456-36-3-3-20044003-30-30303-31-211-2-2-24-2-24-2-51411-211-214-51-211-214-51-211-211000000000000000
χ466-36-3-3-2004400-30303-33-301-211-2-2-24-2-24-214-51-211-214-51-211-211-51411-211-2000000000000000
χ476-36-3-3-200−2+2i3−2−2i30003-33-30-3031-2111−i31+i31−i3−2+2i31−i31+i3−2−2i31+i3-2111−i3−2−i31+2i31+i3−2+i31−2i311-2−2−i31+2i31−i3−2+i31−2i31+i31-211+2i31−i3−2−i31−2i31+i3−2+i3000000000000000
χ486-36-3-3-200−2+2i3−2−2i3003-30-30303-31-2111−i31+i31−i3−2+2i31−i31+i3−2−2i31+i311-2−2−i31+2i31−i3−2+i31−2i31+i31-211+2i31−i3−2−i31−2i31+i3−2+i3-2111−i3−2−i31+2i31+i3−2+i31−2i3000000000000000
χ496-36-3-3-200−2+2i3−2−2i300-30303-33-301-2111−i31+i31−i3−2+2i31−i31+i3−2−2i31+i31-211+2i31−i3−2−i31−2i31+i3−2+i3-2111−i3−2−i31+2i31+i3−2+i31−2i311-2−2−i31+2i31−i3−2+i31−2i31+i3000000000000000
χ506-36-3-3-200−2−2i3−2+2i30003-33-30-3031-2111+i31−i31+i3−2−2i31+i31−i3−2+2i31−i3-2111+i3−2+i31−2i31−i3−2−i31+2i311-2−2+i31−2i31+i3−2−i31+2i31−i31-211−2i31+i3−2+i31+2i31−i3−2−i3000000000000000
χ516-36-3-3-200−2−2i3−2+2i3003-30-30303-31-2111+i31−i31+i3−2−2i31+i31−i3−2+2i31−i311-2−2+i31−2i31+i3−2−i31+2i31−i31-211−2i31+i3−2+i31+2i31−i3−2−i3-2111+i3−2+i31−2i31−i3−2−i31+2i3000000000000000
χ526-36-3-3-200−2−2i3−2+2i300-30303-33-301-2111+i31−i31+i3−2−2i31+i31−i3−2+2i31−i31-211−2i31+i3−2+i31+2i31−i3−2−i3-2111+i3−2+i31−2i31−i3−2−i31+2i311-2−2+i31−2i31+i3−2−i31+2i31−i3000000000000000
χ536-3-36-3600000003-3-3033-30-3-36-30000000003-303-303-3-303-303-3033-303-303-30000000000000000
χ546-3-36-360000003-3003-3-303-3-36-3000000003-303-303-3003-303-303-3-303-303-303000000000000000
χ556-3-36-36000000-3033-3003-3-3-36-300000000-303-303-3033-303-303-3003-303-303-3000000000000000
χ566-3-36-3-200440003-3-3033-3011-21-2-2-2-24-2-244-51-211-21114-51-211-21-51411-211-2000000000000000
χ576-3-36-3-20044003-3003-3-30311-21-2-2-2-24-2-24-51411-211-24-51-211-21114-51-211-21000000000000000
χ586-3-36-3-2004400-3033-3003-311-21-2-2-2-24-2-2414-51-211-21-51411-211-24-51-211-211000000000000000
χ596-3-36-3-200−2+2i3−2−2i30003-3-3033-3011-211−i31+i31−i31−i3−2+2i31+i31+i3−2−2i3-2111−i3−2−i31+2i31+i3−2+i31−2i31-211+2i31−i3−2−i31−2i31+i3−2+i311-2−2−i31+2i31−i3−2+i31−2i31+i3000000000000000
χ606-3-36-3-200−2+2i3−2−2i3003-3003-3-30311-211−i31+i31−i31−i3−2+2i31+i31+i3−2−2i311-2−2−i31+2i31−i3−2+i31−2i31+i3-2111−i3−2−i31+2i31+i3−2+i31−2i31-211+2i31−i3−2−i31−2i31+i3−2+i3000000000000000
χ616-3-36-3-200−2+2i3−2−2i300-3033-3003-311-211−i31+i31−i31−i3−2+2i31+i31+i3−2−2i31-211+2i31−i3−2−i31−2i31+i3−2+i311-2−2−i31+2i31−i3−2+i31−2i31+i3-2111−i3−2−i31+2i31+i3−2+i31−2i3000000000000000
χ626-3-36-3-200−2−2i3−2+2i30003-3-3033-3011-211+i31−i31+i31+i3−2−2i31−i31−i3−2+2i3-2111+i3−2+i31−2i31−i3−2−i31+2i31-211−2i31+i3−2+i31+2i31−i3−2−i311-2−2+i31−2i31+i3−2−i31+2i31−i3000000000000000
χ636-3-36-3-200−2−2i3−2+2i3003-3003-3-30311-211+i31−i31+i31+i3−2−2i31−i31−i3−2+2i311-2−2+i31−2i31+i3−2−i31+2i31−i3-2111+i3−2+i31−2i31−i3−2−i31+2i31-211−2i31+i3−2+i31+2i31−i3−2−i3000000000000000
χ646-3-36-3-200−2−2i3−2+2i300-3033-3003-311-211+i31−i31+i31+i3−2−2i31−i31−i3−2+2i31-211−2i31+i3−2+i31+2i31−i3−2−i311-2−2+i31−2i31+i3−2−i31+2i31−i3-2111+i3−2+i31−2i31−i3−2−i31+2i3000000000000000
χ656-3-3-366−3+3i3−3−3i3−3+3i3−3−3i33−3i323+3i32000000000-3-3-36−3+3i3−3−3i33−3i323−3i323−3i323+3i323+3i323+3i32000000000000000000000000000000000000000000
χ666-3-3-366−3−3i3−3+3i3−3−3i3−3+3i33+3i323−3i32000000000-3-3-36−3−3i3−3+3i33+3i323+3i323+3i323−3i323−3i323−3i32000000000000000000000000000000000000000000
χ676-3-3-36-266-2-2-3-3666-3-3-3-3-3-3111-2-2-2111111-2-2-2-2-2-2-2-2-2111111111111111111000000000000000
χ686-3-3-36-266-2-2-3-3-3-3-3666-3-3-3111-2-2-2111111111111111-2-2-2-2-2-2-2-2-2111111111000000000000000
χ696-3-3-36-266-2-2-3-3-3-3-3-3-3-3666111-2-2-2111111111111111111111111-2-2-2-2-2-2-2-2-2000000000000000
χ706-3-3-36-2−3+3i3−3−3i31−i31+i33−3i323+3i32000000000111-21−i31+i3−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32444−2+2i3−2+2i3−2+2i3−2−2i3−2−2i3−2−2i3-2-2-21−i31−i31−i31+i31+i31+i3-2-2-21−i31−i31−i31+i31+i31+i3000000000000000
χ716-3-3-36-2−3+3i3−3−3i31−i31+i33−3i323+3i32000000000111-21−i31+i3−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-2-2-21−i31−i31−i31+i31+i31+i3444−2+2i3−2+2i3−2+2i3−2−2i3−2−2i3−2−2i3-2-2-21−i31−i31−i31+i31+i31+i3000000000000000
χ726-3-3-36-2−3+3i3−3−3i31−i31+i33−3i323+3i32000000000111-21−i31+i3−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-2-2-21−i31−i31−i31+i31+i31+i3-2-2-21−i31−i31−i31+i31+i31+i3444−2+2i3−2+2i3−2+2i3−2−2i3−2−2i3−2−2i3000000000000000
χ736-3-3-36-2−3−3i3−3+3i31+i31−i33+3i323−3i32000000000111-21+i31−i3−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32444−2−2i3−2−2i3−2−2i3−2+2i3−2+2i3−2+2i3-2-2-21+i31+i31+i31−i31−i31−i3-2-2-21+i31+i31+i31−i31−i31−i3000000000000000
χ746-3-3-36-2−3−3i3−3+3i31+i31−i33+3i323−3i32000000000111-21+i31−i3−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-2-2-21+i31+i31+i31−i31−i31−i3444−2−2i3−2−2i3−2−2i3−2+2i3−2+2i3−2+2i3-2-2-21+i31+i31+i31−i31−i31−i3000000000000000
χ756-3-3-36-2−3−3i3−3+3i31+i31−i33+3i323−3i32000000000111-21+i31−i3−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-2-2-21+i31+i31+i31−i31−i31−i3-2-2-21+i31+i31+i31−i31−i31−i3444−2−2i3−2−2i3−2−2i3−2+2i3−2+2i3−2+2i3000000000000000

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