Finite Group Databasebeta

← Group #11923410

Character table — Group #11923410

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size12366666661216163232364848123666666612161632323648481236666666121616323236484812366666661216163232364848
order132226666623333466262226666626666466262226666626666466262226666626666466
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211111111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211111111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211111111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32
χ311111111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211111111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211111111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211111111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32
χ41111111111-11111-1-1-11111111111-11111-1-1-11111111111-11111-1-1-11111111111-11111-1-1-1
χ51111111111-1−1+i32−1−i32−1+i32−1−i32-11−i321+i321111111111-1−1+i32−1−i32−1+i32−1−i32-11−i321+i321111111111-1−1+i32−1−i32−1+i32−1−i32-11−i321+i321111111111-1−1+i32−1−i32−1+i32−1−i32-11−i321+i32
χ61111111111-1−1−i32−1+i32−1−i32−1+i32-11+i321−i321111111111-1−1−i32−1+i32−1−i32−1+i32-11+i321−i321111111111-1−1−i32−1+i32−1−i32−1+i32-11+i321−i321111111111-1−1−i32−1+i32−1−i32−1+i32-11+i321−i32
χ72-1222-1-1-1-1-1022-1-10002-1222-1-1-1-1-1022-1-10002-1222-1-1-1-1-1022-1-10002-1222-1-1-1-1-1022-1-1000
χ82-1222-1-1-1-1-10−1+i3−1−i31−i321+i320002-1222-1-1-1-1-10−1+i3−1−i31−i321+i320002-1222-1-1-1-1-10−1+i3−1−i31−i321+i320002-1222-1-1-1-1-10−1+i3−1−i31−i321+i32000
χ92-1222-1-1-1-1-10−1−i3−1+i31+i321−i320002-1222-1-1-1-1-10−1−i3−1+i31+i321−i320002-1222-1-1-1-1-10−1−i3−1+i31+i321−i320002-1222-1-1-1-1-10−1−i3−1+i31+i321−i32000
χ10333-1-13-1-1-1-130000-100333-1-13-1-1-1-130000-100333-1-13-1-1-1-130000-100333-1-13-1-1-1-130000-100
χ11333-1-13-1-1-1-1-30000100333-1-13-1-1-1-1-30000100333-1-13-1-1-1-1-30000100333-1-13-1-1-1-1-30000100
χ1266-22-2-222-2-20000000066-22-2-222-2-20000000066-22-2-222-2-20000000066-22-2-222-2-200000000
χ1366-2-22-2-2-2220000000066-2-22-2-2-2220000000066-2-22-2-2-2220000000066-2-22-2-2-22200000000
χ146-36-2-2-31111000000006-36-2-2-31111000000006-36-2-2-31111000000006-36-2-2-3111100000000
χ156-3-22-21−1+2i3−1−2i311000000006-3-22-21−1+2i3−1−2i311000000006-3-22-21−1+2i3−1−2i311000000006-3-22-21−1+2i3−1−2i31100000000
χ166-3-22-21−1−2i3−1+2i311000000006-3-22-21−1−2i3−1+2i311000000006-3-22-21−1−2i3−1+2i311000000006-3-22-21−1−2i3−1+2i31100000000
χ176-3-2-22111−1+2i3−1−2i3000000006-3-2-22111−1+2i3−1−2i3000000006-3-2-22111−1+2i3−1−2i3000000006-3-2-22111−1+2i3−1−2i300000000
χ186-3-2-22111−1−2i3−1+2i3000000006-3-2-22111−1−2i3−1+2i3000000006-3-2-22111−1−2i3−1+2i3000000006-3-2-22111−1−2i3−1+2i300000000
χ19111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2011111111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i32-11−i321+i3211111111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i32-11−i321+i32
χ2111111111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i32-11+i321−i3211111111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i32-11+i321−i32
χ221111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111
χ231111111111-1−1+i32−1−i32−1+i32−1−i32-11−i321+i32-1-1-1-1-1-1-1-1-1-111−i321+i321−i321+i321−1+i32−1−i321111111111-1−1+i32−1−i32−1+i32−1−i32-11−i321+i32-1-1-1-1-1-1-1-1-1-111−i321+i321−i321+i321−1+i32−1−i32
χ241111111111-1−1−i32−1+i32−1−i32−1+i32-11+i321−i32-1-1-1-1-1-1-1-1-1-111+i321−i321+i321−i321−1−i32−1+i321111111111-1−1−i32−1+i32−1−i32−1+i32-11+i321−i32-1-1-1-1-1-1-1-1-1-111+i321−i321+i321−i321−1−i32−1+i32
χ252-1222-1-1-1-1-1022-1-1000-21-2-2-2111110-2-2110002-1222-1-1-1-1-1022-1-1000-21-2-2-2111110-2-211000
χ262-1222-1-1-1-1-10−1+i3−1−i31−i321+i32000-21-2-2-21111101−i31+i3−1+i32−1−i320002-1222-1-1-1-1-10−1+i3−1−i31−i321+i32000-21-2-2-21111101−i31+i3−1+i32−1−i32000
χ272-1222-1-1-1-1-10−1−i3−1+i31+i321−i32000-21-2-2-21111101+i31−i3−1−i32−1+i320002-1222-1-1-1-1-10−1−i3−1+i31+i321−i32000-21-2-2-21111101+i31−i3−1−i32−1+i32000
χ28333-1-13-1-1-1-130000-100-3-3-311-31111-30000100333-1-13-1-1-1-130000-100-3-3-311-31111-30000100
χ29333-1-13-1-1-1-1-30000100-3-3-311-3111130000-100333-1-13-1-1-1-1-30000100-3-3-311-3111130000-100
χ3066-22-2-222-2-200000000-6-62-222-2-2220000000066-22-2-222-2-200000000-6-62-222-2-22200000000
χ3166-2-22-2-2-22200000000-6-622-2222-2-20000000066-2-22-2-2-22200000000-6-622-2222-2-200000000
χ326-36-2-2-3111100000000-63-6223-1-1-1-1000000006-36-2-2-3111100000000-63-6223-1-1-1-100000000
χ336-3-22-21−1+2i3−1−2i31100000000-632-22-11−2i31+2i3-1-1000000006-3-22-21−1+2i3−1−2i31100000000-632-22-11−2i31+2i3-1-100000000
χ346-3-22-21−1−2i3−1+2i31100000000-632-22-11+2i31−2i3-1-1000000006-3-22-21−1−2i3−1+2i31100000000-632-22-11+2i31−2i3-1-100000000
χ356-3-2-22111−1+2i3−1−2i300000000-6322-2-1-1-11−2i31+2i3000000006-3-2-22111−1+2i3−1−2i300000000-6322-2-1-1-11−2i31+2i300000000
χ366-3-2-22111−1−2i3−1+2i300000000-6322-2-1-1-11+2i31−2i3000000006-3-2-22111−1−2i3−1+2i300000000-6322-2-1-1-11+2i31−2i300000000
χ37111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3811111111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211111111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i32-11−i321+i32-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i32-11−i321+i32
χ3911111111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211111111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i32-11+i321−i32-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i32-11+i321−i32
χ401111111111-11111-1-1-11111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-1-11-1-1-1-1111
χ411111111111-1−1+i32−1−i32−1+i32−1−i32-11−i321+i321111111111-1−1+i32−1−i32−1+i32−1−i32-11−i321+i32-1-1-1-1-1-1-1-1-1-111−i321+i321−i321+i321−1+i32−1−i32-1-1-1-1-1-1-1-1-1-111−i321+i321−i321+i321−1+i32−1−i32
χ421111111111-1−1−i32−1+i32−1−i32−1+i32-11+i321−i321111111111-1−1−i32−1+i32−1−i32−1+i32-11+i321−i32-1-1-1-1-1-1-1-1-1-111+i321−i321+i321−i321−1−i32−1+i32-1-1-1-1-1-1-1-1-1-111+i321−i321+i321−i321−1−i32−1+i32
χ432-1222-1-1-1-1-1022-1-10002-1222-1-1-1-1-1022-1-1000-21-2-2-2111110-2-211000-21-2-2-2111110-2-211000
χ442-1222-1-1-1-1-10−1+i3−1−i31−i321+i320002-1222-1-1-1-1-10−1+i3−1−i31−i321+i32000-21-2-2-21111101−i31+i3−1+i32−1−i32000-21-2-2-21111101−i31+i3−1+i32−1−i32000
χ452-1222-1-1-1-1-10−1−i3−1+i31+i321−i320002-1222-1-1-1-1-10−1−i3−1+i31+i321−i32000-21-2-2-21111101+i31−i3−1−i32−1+i32000-21-2-2-21111101+i31−i3−1−i32−1+i32000
χ46333-1-13-1-1-1-130000-100333-1-13-1-1-1-130000-100-3-3-311-31111-30000100-3-3-311-31111-30000100
χ47333-1-13-1-1-1-1-30000100333-1-13-1-1-1-1-30000100-3-3-311-3111130000-100-3-3-311-3111130000-100
χ4866-22-2-222-2-20000000066-22-2-222-2-200000000-6-62-222-2-22200000000-6-62-222-2-22200000000
χ4966-2-22-2-2-2220000000066-2-22-2-2-22200000000-6-622-2222-2-200000000-6-622-2222-2-200000000
χ506-36-2-2-31111000000006-36-2-2-3111100000000-63-6223-1-1-1-100000000-63-6223-1-1-1-100000000
χ516-3-22-21−1+2i3−1−2i311000000006-3-22-21−1+2i3−1−2i31100000000-632-22-11−2i31+2i3-1-100000000-632-22-11−2i31+2i3-1-100000000
χ526-3-22-21−1−2i3−1+2i311000000006-3-22-21−1−2i3−1+2i31100000000-632-22-11+2i31−2i3-1-100000000-632-22-11+2i31−2i3-1-100000000
χ536-3-2-22111−1+2i3−1−2i3000000006-3-2-22111−1+2i3−1−2i300000000-6322-2-1-1-11−2i31+2i300000000-6322-2-1-1-11−2i31+2i300000000
χ546-3-2-22111−1−2i3−1+2i3000000006-3-2-22111−1−2i3−1+2i300000000-6322-2-1-1-11+2i31−2i300000000-6322-2-1-1-11+2i31−2i300000000
χ55111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111
χ5611111111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i32-11−i321+i32-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i32-11−i321+i3211111111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32
χ5711111111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i32-11+i321−i32-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i32-11+i321−i3211111111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32
χ581111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111111111111-11111-1-1-1
χ591111111111-1−1+i32−1−i32−1+i32−1−i32-11−i321+i32-1-1-1-1-1-1-1-1-1-111−i321+i321−i321+i321−1+i32−1−i32-1-1-1-1-1-1-1-1-1-111−i321+i321−i321+i321−1+i32−1−i321111111111-1−1+i32−1−i32−1+i32−1−i32-11−i321+i32
χ601111111111-1−1−i32−1+i32−1−i32−1+i32-11+i321−i32-1-1-1-1-1-1-1-1-1-111+i321−i321+i321−i321−1−i32−1+i32-1-1-1-1-1-1-1-1-1-111+i321−i321+i321−i321−1−i32−1+i321111111111-1−1−i32−1+i32−1−i32−1+i32-11+i321−i32
χ612-1222-1-1-1-1-1022-1-1000-21-2-2-2111110-2-211000-21-2-2-2111110-2-2110002-1222-1-1-1-1-1022-1-1000
χ622-1222-1-1-1-1-10−1+i3−1−i31−i321+i32000-21-2-2-21111101−i31+i3−1+i32−1−i32000-21-2-2-21111101−i31+i3−1+i32−1−i320002-1222-1-1-1-1-10−1+i3−1−i31−i321+i32000
χ632-1222-1-1-1-1-10−1−i3−1+i31+i321−i32000-21-2-2-21111101+i31−i3−1−i32−1+i32000-21-2-2-21111101+i31−i3−1−i32−1+i320002-1222-1-1-1-1-10−1−i3−1+i31+i321−i32000
χ64333-1-13-1-1-1-130000-100-3-3-311-31111-30000100-3-3-311-31111-30000100333-1-13-1-1-1-130000-100
χ65333-1-13-1-1-1-1-30000100-3-3-311-3111130000-100-3-3-311-3111130000-100333-1-13-1-1-1-1-30000100
χ6666-22-2-222-2-200000000-6-62-222-2-22200000000-6-62-222-2-2220000000066-22-2-222-2-200000000
χ6766-2-22-2-2-22200000000-6-622-2222-2-200000000-6-622-2222-2-20000000066-2-22-2-2-22200000000
χ686-36-2-2-3111100000000-63-6223-1-1-1-100000000-63-6223-1-1-1-1000000006-36-2-2-3111100000000
χ696-3-22-21−1+2i3−1−2i31100000000-632-22-11−2i31+2i3-1-100000000-632-22-11−2i31+2i3-1-1000000006-3-22-21−1+2i3−1−2i31100000000
χ706-3-22-21−1−2i3−1+2i31100000000-632-22-11+2i31−2i3-1-100000000-632-22-11+2i31−2i3-1-1000000006-3-22-21−1−2i3−1+2i31100000000
χ716-3-2-22111−1+2i3−1−2i300000000-6322-2-1-1-11−2i31+2i300000000-6322-2-1-1-11−2i31+2i3000000006-3-2-22111−1+2i3−1−2i300000000
χ726-3-2-22111−1−2i3−1+2i300000000-6322-2-1-1-11+2i31−2i300000000-6322-2-1-1-11+2i31−2i3000000006-3-2-22111−1−2i3−1+2i300000000

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