Finite Group Databasebeta

← Group #11929139

Character table — Group #11929139

Order 1248.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size11222222266666666121212121212121212121212131313132626262626262626262626262626262626262626262626262626262626262626262626262626
order122444444131326262626262652525252525252525252525233662222444466666666661212121212121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111−1+i32−1−i32−1+i32−1−i3211111111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32
χ411111111111111111111111111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-1-1−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32
χ511111111111111111111111111111−1−i32−1+i32−1−i32−1+i3211111111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32
χ611111111111111111111111111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-1-1−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32
χ711111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-111-1-111-1-1-1-111-1-1-1-111-1-111-1-1
χ811111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-11111-1-1-1-111-1-1-1-1-1-111-1-111
χ911111-1-1-1-1111111111111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i3211-1-111-1-1−1+i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32
χ1011111-1-1-1-1111111111111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32-1-111-1-111−1+i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32
χ1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i3211-1-111-1-1−1−i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32
χ1211111-1-1-1-1111111111111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32-1-111-1-111−1−i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32
χ13111-1-111-1-111111111-1-1-1-11111-1-1-1-111111-11-11-11-1111-11-11-11-1-1-111-1-1-1-111-1-11-11-11-11-1
χ14111-1-111-1-111111111-1-1-1-11111-1-1-1-11111-11-11-11-1111-11-11-11-11-1-111-1-1-1-111-1-1-11-11-11-11
χ15111-1-111-1-111111111-1-1-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1−i321-11-11-11-1−1+i32−1−i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i321−i321−i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321+i321+i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32
χ16111-1-111-1-111111111-1-1-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1−i32-11-11-11-11−1+i32−1−i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i321−i321−i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321+i321+i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i32
χ17111-1-111-1-111111111-1-1-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1+i321-11-11-11-1−1−i32−1+i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i321+i321+i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321−i321−i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32
χ18111-1-111-1-111111111-1-1-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1+i32-11-11-11-11−1−i32−1+i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i321+i321+i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321−i321−i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i32
χ19111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111-1-111-1-11111-1-111-1-11-1-1-1-111-1-1-1-1111-1-111-1-11
χ20111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-111-1-111-111-111-1-111-1-1-1-1-111-1-1-1-111-111-1-111-1
χ21111-1-1-1-11111111111-1-1-1-1-1-1-1-11111−1+i32−1−i32−1+i32−1−i321-1-111-1-11−1+i32−1−i32−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i321−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i32
χ22111-1-1-1-11111111111-1-1-1-1-1-1-1-11111−1+i32−1−i32−1+i32−1−i32-111-1-111-1−1+i32−1−i321−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i321−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i321−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i32
χ23111-1-1-1-11111111111-1-1-1-1-1-1-1-11111−1−i32−1+i32−1−i32−1+i321-1-111-1-11−1−i32−1+i32−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i321+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i32
χ24111-1-1-1-11111111111-1-1-1-1-1-1-1-11111−1−i32−1+i32−1−i32−1+i32-111-1-111-1−1−i32−1+i321+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i321+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i321+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i32
χ2511-11-11-11-111-1-1-1-11111-1-111-1-111-1-11111111-1-1-1-11-1-1111-1111-11-11-11-11-11-11-1-1-1-11-1-1-11
χ2611-11-11-11-111-1-1-1-11111-1-111-1-111-1-11111-1-1-11111-1-1-1-1-1-11-1-1-111-11-11-11-11-11-1111-1111-1
χ2711-11-11-11-111-1-1-1-11111-1-111-1-111-1-1−1+i32−1−i32−1+i32−1−i32111-1-1-1-111−i321+i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i321+i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1−i321+i321−i321−i321−i32−1+i321+i321+i321+i32−1−i32
χ2811-11-11-11-111-1-1-1-11111-1-111-1-111-1-1−1+i32−1−i32−1+i32−1−i32-1-1-11111-11−i321+i321−i321−i321−i32−1+i321+i321+i321+i32−1−i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i321+i32
χ2911-11-11-11-111-1-1-1-11111-1-111-1-111-1-1−1−i32−1+i32−1−i32−1+i32111-1-1-1-111+i321−i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i321−i32−1−i321+i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32−1+i321−i321+i321+i321+i32−1−i321−i321−i321−i32−1+i32
χ3011-11-11-11-111-1-1-1-11111-1-111-1-111-1-1−1−i32−1+i32−1−i32−1+i32-1-1-11111-11+i321−i321+i321+i321+i32−1−i321−i321−i321−i32−1+i32−1−i321+i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i321−i32
χ3111-11-1-11-1111-1-1-1-11111-1-1-1-111-1-111111111-11-1-11-1-1-111-1111-111-1-11-111-1-11-11-1-11-1-1-11-1
χ3211-11-1-11-1111-1-1-1-11111-1-1-1-111-1-1111111-1-11-111-11-1-1-1-11-1-1-11-11-1-11-111-1-11-1111-1111-11
χ3311-11-1-11-1111-1-1-1-11111-1-1-1-111-1-111−1+i32−1−i32−1+i32−1−i3211-11-1-11-11−i321+i32−1+i32−1+i321−i32−1+i32−1−i32−1−i321+i32−1−i32−1+i321−i321−i32−1+i321−i32−1+i32−1−i321+i321+i32−1−i321+i32−1−i321−i321−i32−1+i321−i321+i321+i32−1−i321+i32
χ3411-11-1-11-1111-1-1-1-11111-1-1-1-111-1-111−1+i32−1−i32−1+i32−1−i32-1-11-111-111−i321+i321−i321−i32−1+i321−i321+i321+i32−1−i321+i32−1+i321−i321−i32−1+i321−i32−1+i32−1−i321+i321+i32−1−i321+i32−1−i32−1+i32−1+i321−i32−1+i32−1−i32−1−i321+i32−1−i32
χ3511-11-1-11-1111-1-1-1-11111-1-1-1-111-1-111−1−i32−1+i32−1−i32−1+i3211-11-1-11-11+i321−i32−1−i32−1−i321+i32−1−i32−1+i32−1+i321−i32−1+i32−1−i321+i321+i32−1−i321+i32−1−i32−1+i321−i321−i32−1+i321−i32−1+i321+i321+i32−1−i321+i321−i321−i32−1+i321−i32
χ3611-11-1-11-1111-1-1-1-11111-1-1-1-111-1-111−1−i32−1+i32−1−i32−1+i32-1-11-111-111+i321−i321+i321+i32−1−i321+i321−i321−i32−1+i321−i32−1−i321+i321+i32−1−i321+i32−1−i32−1+i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i321+i32−1−i32−1+i32−1+i321−i32−1+i32
χ3711-1-111-1-1111-1-1-1-111-1-11111-1-1-1-11111111-111-11-1-1-1-11-1111-111-111-1-11-111-1-11-11-1-1-11-1-1
χ3811-1-111-1-1111-1-1-1-111-1-11111-1-1-1-1111111-11-1-11-111-1-1-11-1-1-11-1-1-111-1-11-111-1-111-1111-111
χ3911-1-111-1-1111-1-1-1-111-1-11111-1-1-1-111−1+i32−1−i32−1+i32−1−i321-111-11-1-11−i321+i32−1+i321−i32−1+i32−1+i32−1−i321+i32−1−i32−1−i321−i32−1+i32−1+i321−i321−i32−1+i321+i32−1−i32−1−i321+i321+i32−1−i321−i32−1+i321−i321−i321+i32−1−i321+i321+i32
χ4011-1-111-1-1111-1-1-1-111-1-11111-1-1-1-111−1+i32−1−i32−1+i32−1−i32-11-1-11-1111−i321+i321−i32−1+i321−i321−i321+i32−1−i321+i321+i321−i32−1+i32−1+i321−i321−i32−1+i321+i32−1−i32−1−i321+i321+i32−1−i32−1+i321−i32−1+i32−1+i32−1−i321+i32−1−i32−1−i32
χ4111-1-111-1-1111-1-1-1-111-1-11111-1-1-1-111−1−i32−1+i32−1−i32−1+i321-111-11-1-11+i321−i32−1−i321+i32−1−i32−1−i32−1+i321−i32−1+i32−1+i321+i32−1−i32−1−i321+i321+i32−1−i321−i32−1+i32−1+i321−i321−i32−1+i321+i32−1−i321+i321+i321−i32−1+i321−i321−i32
χ4211-1-111-1-1111-1-1-1-111-1-11111-1-1-1-111−1−i32−1+i32−1−i32−1+i32-11-1-11-1111+i321−i321+i32−1−i321+i321+i321−i32−1+i321−i321−i321+i32−1−i32−1−i321+i321+i32−1−i321−i32−1+i32−1+i321−i321−i32−1+i32−1−i321+i32−1−i32−1−i32−1+i321−i32−1+i32−1+i32
χ4311-1-11-111-111-1-1-1-111-1-111-1-11111-1-111111-1-1-1-1111-1-11-1-1-11-1-1-1-11-111-1-11-111-1-1111-1111
χ4411-1-11-111-111-1-1-1-111-1-111-1-11111-1-11111-11111-1-1-1-1-1-1111-1111-11-111-1-11-111-11-1-1-11-1-1-1
χ4511-1-11-111-111-1-1-1-111-1-111-1-11111-1-1−1+i32−1−i32−1+i32−1−i321-1-1-1-11111−i321+i32−1+i321−i321−i321−i32−1−i321+i321+i321+i321−i32−1+i321−i32−1+i32−1+i321−i321+i32−1−i321+i32−1−i32−1−i321+i321−i32−1+i32−1+i32−1+i321+i32−1−i32−1−i32−1−i32
χ4611-1-11-111-111-1-1-1-111-1-111-1-11111-1-1−1+i32−1−i32−1+i32−1−i32-11111-1-1-11−i321+i321−i32−1+i32−1+i32−1+i321+i32−1−i32−1−i32−1−i321−i32−1+i321−i32−1+i32−1+i321−i321+i32−1−i321+i32−1−i32−1−i321+i32−1+i321−i321−i321−i32−1−i321+i321+i321+i32
χ4711-1-11-111-111-1-1-1-111-1-111-1-11111-1-1−1−i32−1+i32−1−i32−1+i321-1-1-1-11111+i321−i32−1−i321+i321+i321+i32−1+i321−i321−i321−i321+i32−1−i321+i32−1−i32−1−i321+i321−i32−1+i321−i32−1+i32−1+i321−i321+i32−1−i32−1−i32−1−i321−i32−1+i32−1+i32−1+i32
χ4811-1-11-111-111-1-1-1-111-1-111-1-11111-1-1−1−i32−1+i32−1−i32−1+i32-11111-1-1-11+i321−i321+i32−1−i32−1−i32−1−i321−i32−1+i32−1+i32−1+i321+i32−1−i321+i32−1−i32−1−i321+i321−i32−1+i321−i32−1+i32−1+i321−i32−1−i321+i321+i321+i32−1+i321−i321−i321−i32
χ494-40000000440000-4-400000000000044-4-400000000000000000000000000000000000000
χ504-40000000440000-4-4000000000000−2+2i3−2−2i32−2i32+2i300000000000000000000000000000000000000
χ514-40000000440000-4-4000000000000−2−2i3−2+2i32+2i32−2i300000000000000000000000000000000000000
χ52666666666−1+132−1−132−1+132−1+132−1−132−1−132−1+132−1−132−1+132−1−132−1+132−1−132−1+132−1−132−1+132−1−132−1+132−1−132−1+132−1−132000000000000000000000000000000000000000000
χ53666666666−1−132−1+132−1−132−1−132−1+132−1+132−1−132−1+132−1−132−1+132−1−132−1+132−1−132−1+132−1−132−1+132−1−132−1+132−1−132−1+132000000000000000000000000000000000000000000
χ5466666-6-6-6-6−1+132−1−132−1+132−1+132−1−132−1−132−1+132−1−132−1+132−1−132−1+132−1−1321−1321+1321−1321+1321−1321+1321−1321+132000000000000000000000000000000000000000000
χ5566666-6-6-6-6−1−132−1+132−1−132−1−132−1+132−1+132−1−132−1+132−1−132−1+132−1−132−1+1321+1321−1321+1321−1321+1321−1321+1321−132000000000000000000000000000000000000000000
χ56666-6-666-6-6−1+132−1−132−1+132−1+132−1−132−1−132−1+132−1−1321−1321+1321−1321+132−1+132−1−132−1+132−1−1321−1321+1321−1321+132000000000000000000000000000000000000000000
χ57666-6-666-6-6−1−132−1+132−1−132−1−132−1+132−1+132−1−132−1+1321+1321−1321+1321−132−1−132−1+132−1−132−1+1321+1321−1321+1321−132000000000000000000000000000000000000000000
χ58666-6-6-6-666−1+132−1−132−1+132−1+132−1−132−1−132−1+132−1−1321−1321+1321−1321+1321−1321+1321−1321+132−1+132−1−132−1+132−1−132000000000000000000000000000000000000000000
χ59666-6-6-6-666−1−132−1+132−1−132−1−132−1+132−1+132−1−132−1+1321+1321−1321+1321−1321+1321−1321+1321−132−1−132−1+132−1−132−1+132000000000000000000000000000000000000000000
χ6066-66-66-66-6−1+132−1−1321−1321−1321+1321+132−1+132−1−132−1+132−1−1321−1321+132−1+132−1−1321−1321+132−1+132−1−1321−1321+132000000000000000000000000000000000000000000
χ6166-66-66-66-6−1−132−1+1321+1321+1321−1321−132−1−132−1+132−1−132−1+1321+1321−132−1−132−1+1321+1321−132−1−132−1+1321+1321−132000000000000000000000000000000000000000000
χ6266-66-6-66-66−1+132−1−1321−1321−1321+1321+132−1+132−1−132−1+132−1−1321−1321+1321−1321+132−1+132−1−1321−1321+132−1+132−1−132000000000000000000000000000000000000000000
χ6366-66-6-66-66−1−132−1+1321+1321+1321−1321−132−1−132−1+132−1−132−1+1321+1321−1321+1321−132−1−132−1+1321+1321−132−1−132−1+132000000000000000000000000000000000000000000
χ6466-6-666-6-66−1+132−1−1321−1321−1321+1321+132−1+132−1−1321−1321+132−1+132−1−132−1+132−1−1321−1321+1321−1321+132−1+132−1−132000000000000000000000000000000000000000000
χ6566-6-666-6-66−1−132−1+1321+1321+1321−1321−132−1−132−1+1321+1321−132−1−132−1+132−1−132−1+1321+1321−1321+1321−132−1−132−1+132000000000000000000000000000000000000000000
χ6666-6-66-666-6−1+132−1−1321−1321−1321+1321+132−1+132−1−1321−1321+132−1+132−1−1321−1321+132−1+132−1−132−1+132−1−1321−1321+132000000000000000000000000000000000000000000
χ6766-6-66-666-6−1−132−1+1321+1321+1321−1321−132−1−132−1+1321+1321−132−1−132−1+1321+1321−132−1−132−1+132−1−132−1+1321+1321−132000000000000000000000000000000000000000000
χ6812-120000000−1+13−1−132ζ−2ζ4−2ζ10+2ζ14+2ζ16−2ζ17+2ζ22−2ζ23−2ζ25+2ζ29+2ζ35−2ζ38−2ζ+2ζ4+2ζ10−2ζ14−2ζ16+2ζ17−2ζ22+2ζ23+2ζ25−2ζ29−2ζ35+2ζ38−2ζ2−2ζ5+2ζ7+2ζ8+2ζ11−2ζ19+2ζ20−2ζ28−2ζ31−2ζ32+2ζ34+2ζ372ζ2+2ζ5−2ζ7−2ζ8−2ζ11+2ζ19−2ζ20+2ζ28+2ζ31+2ζ32−2ζ34−2ζ371−131+13000000000000000000000000000000000000000000000000000000
χ6912-120000000−1+13−1−13−2ζ+2ζ4+2ζ10−2ζ14−2ζ16+2ζ17−2ζ22+2ζ23+2ζ25−2ζ29−2ζ35+2ζ382ζ−2ζ4−2ζ10+2ζ14+2ζ16−2ζ17+2ζ22−2ζ23−2ζ25+2ζ29+2ζ35−2ζ382ζ2+2ζ5−2ζ7−2ζ8−2ζ11+2ζ19−2ζ20+2ζ28+2ζ31+2ζ32−2ζ34−2ζ37−2ζ2−2ζ5+2ζ7+2ζ8+2ζ11−2ζ19+2ζ20−2ζ28−2ζ31−2ζ32+2ζ34+2ζ371−131+13000000000000000000000000000000000000000000000000000000
χ7012-120000000−1−13−1+13−2ζ2−2ζ5+2ζ7+2ζ8+2ζ11−2ζ19+2ζ20−2ζ28−2ζ31−2ζ32+2ζ34+2ζ372ζ2+2ζ5−2ζ7−2ζ8−2ζ11+2ζ19−2ζ20+2ζ28+2ζ31+2ζ32−2ζ34−2ζ37−2ζ+2ζ4+2ζ10−2ζ14−2ζ16+2ζ17−2ζ22+2ζ23+2ζ25−2ζ29−2ζ35+2ζ382ζ−2ζ4−2ζ10+2ζ14+2ζ16−2ζ17+2ζ22−2ζ23−2ζ25+2ζ29+2ζ35−2ζ381+131−13000000000000000000000000000000000000000000000000000000
χ7112-120000000−1−13−1+132ζ2+2ζ5−2ζ7−2ζ8−2ζ11+2ζ19−2ζ20+2ζ28+2ζ31+2ζ32−2ζ34−2ζ37−2ζ2−2ζ5+2ζ7+2ζ8+2ζ11−2ζ19+2ζ20−2ζ28−2ζ31−2ζ32+2ζ34+2ζ372ζ−2ζ4−2ζ10+2ζ14+2ζ16−2ζ17+2ζ22−2ζ23−2ζ25+2ζ29+2ζ35−2ζ38−2ζ+2ζ4+2ζ10−2ζ14−2ζ16+2ζ17−2ζ22+2ζ23+2ζ25−2ζ29−2ζ35+2ζ381+131−13000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 39 (ζ39 = 1); i = ζ9.