Finite Group Databasebeta

← Group #13057401

Character table — Group #13057401

Order 1344.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size11114444444666677777777121212121212242424242828282828282828282828282828282828282828282828282828282828282828282828282828
order1222224444471414143366666614142828282814282828224444446666666612121212121212121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111111111111111−1−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
χ4111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111111111-1-1-1-1-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−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−i321−i321−i321−i321−i32
χ5111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111111111111111−1+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
χ6111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111111111-1-1-1-1-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+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+i321+i321+i321+i321+i32
χ7111111-11-1-1-111111111111111-1-1-1-11-1-111-11-111-1-111111-11-1-1-11-1-1-11-1-1-1111-1-1-1111-1-1-1
χ8111111-11-1-1-111111111111111-1-1-1-11-1-11-11-11-1-1111111-11-11-1-11-1-1-11-1-1-1-1-1-1111-1-1-1111
χ9111111-11-1-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-11-1-111-11-111-1-1−1−i32−1−i32−1+i32−1+i32−1−i321+i32−1+i321−i321+i321−i32−1−i321+i321+i321+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i32
χ10111111-11-1-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-11-1-11-11-11-1-111−1−i32−1−i32−1+i32−1+i321+i32−1−i321−i32−1+i321+i321−i32−1−i321+i321+i321+i32−1+i321−i321−i321−i321+i321+i321+i32−1−i32−1−i32−1−i321−i321−i321−i32−1+i32−1+i32−1+i32
χ11111111-11-1-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1-1-11-1-111-11-111-1-1−1+i32−1+i32−1−i32−1−i32−1+i321−i32−1−i321+i321−i321+i32−1+i321−i321−i321−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i32
χ12111111-11-1-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1-1-11-1-11-11-11-1-111−1+i32−1+i32−1−i32−1−i321−i32−1+i321+i32−1−i321−i321+i32−1+i321−i321−i321−i32−1−i321+i321+i321+i321−i321−i321−i32−1+i32−1+i32−1+i321+i321+i321+i32−1−i32−1−i32−1−i32
χ1311111-11-11-1-1111111111111-1-111-1-111-1-11-111-1-11-11-11-11-11-111-11-1-1-11-1-11-1-111-11-1-111-1
χ1411111-11-11-1-1111111111111-1-111-1-111-1-1-11-1-111-111-11-1-11-1111-11-1-1-11-1-1-111-1-11-111-1-11
χ1511111-11-11-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111-1-111-1-11-111-1-11-1−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i32−1+i321+i32−1−i321+i321+i321−i32−1+i321−i321−i32−1−i321+i321+i32−1−i32−1−i321+i32−1+i321−i321−i32−1+i32−1+i321−i32
χ1611111-11-11-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111-1-111-1-1-11-1-111-11−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i32−1−i32−1+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
χ1711111-11-11-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111-1-111-1-11-111-1-11-1−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i32−1−i321−i32−1+i321−i321−i321+i32−1−i321+i321+i32−1+i321−i321−i32−1+i32−1+i321−i32−1−i321+i321+i32−1−i32−1−i321+i32
χ1811111-11-11-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111-1-111-1-1-11-1-111-11−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i32−1+i32−1−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
χ1911111-1-1-1-111111111111111-1-1-1-1111-11-1111-1-1-1-111-11-11111-1-1-1-111-1-1111-1-1-1-111-1-1-1-11
χ2011111-1-1-1-111111111111111-1-1-1-1111-11-1-1-1-11111-11-11-1-1-1-1-1-1-1-1-111-1-111-11111-1-11111-1
χ2111111-1-1-1-1111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1111-11-1111-1-1-1-11−1−i321+i32−1+i321−i32−1−i32−1−i32−1+i32−1+i321+i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1−i321+i321+i321+i321+i32−1−i32−1+i321−i321−i321−i321−i32−1+i32
χ2211111-1-1-1-1111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1111-11-1-1-1-11111-1−1−i321+i32−1+i321−i321+i321+i321−i321−i321+i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i32−1−i32−1−i32−1−i32−1−i321+i321−i32−1+i32−1+i32−1+i32−1+i321−i32
χ2311111-1-1-1-1111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1111-11-1111-1-1-1-11−1+i321−i32−1−i321+i32−1+i32−1+i32−1−i32−1−i321−i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1+i321−i321−i321−i321−i32−1+i32−1−i321+i321+i321+i321+i32−1−i32
χ2411111-1-1-1-1111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1111-11-1-1-1-11111-1−1+i321−i32−1−i321+i321−i321−i321+i321+i321−i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i32−1+i32−1+i32−1+i32−1+i321−i321+i32−1−i32−1−i32−1−i32−1−i321+i32
χ251111-111-1-1-1111111111111111-1-1-1-1-111-11-1-111-1-11-11-111-11-111-1-11-1-1-11-1-11-11-11-11-11-11
χ261111-111-1-1-1111111111111111-1-1-1-1-111-1-111-1-111-1-11-11-11-1111-1-11-1-1-11-11-11-11-11-11-11-1
χ271111-111-1-1-111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-1-111-11-1-111-1-111+i32−1−i321−i32−1+i32−1−i321+i32−1+i321−i32−1−i32−1+i321+i321+i32−1−i321+i321−i321−i32−1+i321−i321+i32−1−i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i321−i32−1+i32
χ281111-111-1-1-111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-1-111-1-111-1-111-11+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i32−1−i32−1+i321+i321+i32−1−i321+i321−i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32−1+i321−i32
χ291111-111-1-1-111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1-1-1-111-11-1-111-1-111−i32−1+i321+i32−1−i32−1+i321−i32−1−i321+i32−1+i32−1−i321−i321−i32−1+i321−i321+i321+i32−1−i321+i321−i32−1+i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i321+i32−1−i32
χ301111-111-1-1-111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1-1-1-111-1-111-1-111-11−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i32−1+i32−1−i321−i321−i32−1+i321−i321+i321+i32−1−i321+i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1−i321+i32
χ311111-11-1-111-1111111111111111111-1-1-1-111-1-11-11-1-11-111111-1-1-11-11-11-11-11-1-11-1-11-1-11-1
χ321111-11-1-111-1111111111111111111-1-1-1-1-1-111-11-11-11-11-1-1-1-1-1-1-11-11-11-111-111-111-111-11
χ331111-11-1-111-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111-1-1-1-111-1-11-11-11+i32−1−i321−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321−i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i321+i32−1−i321+i321+i32−1−i321+i321−i32−1+i321−i321−i32−1+i321−i32
χ341111-11-1-111-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111-1-1-1-1-1-111-11-111+i32−1−i321−i32−1+i321+i321+i321−i321−i321+i321−i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1+i321−i32−1+i32−1+i321−i32−1+i32
χ351111-11-1-111-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111-1-1-1-111-1-11-11-11−i32−1+i321+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321+i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i321−i32−1+i321−i321−i32−1+i321−i321+i32−1−i321+i321+i32−1−i321+i32
χ361111-11-1-111-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111-1-1-1-1-1-111-11-111−i32−1+i321+i32−1−i321−i321−i321+i321+i321−i321+i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1−i321+i32−1−i32−1−i321+i32−1−i32
χ371111-1-111-11-1111111111111-1-1-1-111-11-1111-11-11-1-1-1-1-1-11111111-1-111-1-11-1-111-1-1-1-111-1-1
χ381111-1-111-11-1111111111111-1-1-1-111-11-11-1-11-11-111-1-1-1-1-1-1-1-1111-1-111-1-1111-1-11111-1-111
χ391111-1-111-11-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-111-11-1111-11-11-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i321+i321+i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321−i321−i32
χ401111-1-111-11-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-111-11-11-1-11-11-1111+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1+i32−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ411111-1-111-11-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-111-11-1111-11-11-1-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i321−i321−i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321+i321+i32
χ421111-1-111-11-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-111-11-11-1-11-11-1111−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1−i32−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ431111-1-1-111-11111111111111-1-111-1-1-1-1111-1-1-1-1111-1-1-1-11-11-1-1-1111-1111-1-1-11-111-1-11-111
χ441111-1-1-111-11111111111111-1-111-1-1-1-111-11111-1-1-1-1-1-1-1-11-11-1-1111-1111-111-11-1-111-11-1-1
χ451111-1-1-111-111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111-1-1-1-1111-1-1-1-11111+i321+i321−i321−i32−1−i321+i32−1+i321−i321+i321−i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i321−i321+i321+i32−1−i321+i32−1−i32−1−i321−i321−i32−1+i321−i32−1+i32−1+i32
χ461111-1-1-111-111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111-1-1-1-111-11111-1-1-11+i321+i321−i321−i321+i32−1−i321−i32−1+i321+i321−i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i321−i32−1−i32−1−i321+i32−1−i321+i321+i32−1+i32−1+i321−i32−1+i321−i321−i32
χ471111-1-1-111-111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111-1-1-1-1111-1-1-1-11111−i321−i321+i321+i32−1+i321−i32−1−i321+i321−i321+i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i321+i321−i321−i32−1+i321−i32−1+i32−1+i321+i321+i32−1−i321+i32−1−i32−1−i32
χ481111-1-1-111-111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111-1-1-1-111-11111-1-1-11−i321−i321+i321+i321−i32−1+i321+i32−1−i321−i321+i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i321+i32−1+i32−1+i321−i32−1+i321−i321−i32−1−i32−1−i321+i32−1−i321+i321+i32
χ4944-4-4000000044-4-44444-4-4-4-4000000000000000000000000000000000000000000000000
χ5044-4-4000000044-4-4−2−2i3−2+2i3−2−2i3−2+2i32+2i32+2i32−2i32−2i3000000000000000000000000000000000000000000000000
χ5144-4-4000000044-4-4−2+2i3−2−2i3−2+2i3−2−2i32−2i32−2i32+2i32+2i3000000000000000000000000000000000000000000000000
χ524-44-400000004-4-4444-4-44-44-4000000000000000000000000000000000000000000000000
χ534-44-400000004-4-44−2−2i3−2+2i32+2i32−2i3−2−2i32+2i3−2+2i32−2i3000000000000000000000000000000000000000000000000
χ544-44-400000004-4-44−2+2i3−2−2i32−2i32+2i3−2+2i32−2i3−2−2i32+2i3000000000000000000000000000000000000000000000000
χ554-4-4400000004-44-444-4-4-44-44000000000000000000000000000000000000000000000000
χ564-4-4400000004-44-4−2−2i3−2+2i32+2i32−2i32+2i3−2−2i32−2i3−2+2i3000000000000000000000000000000000000000000000000
χ574-4-4400000004-44-4−2+2i3−2−2i32−2i32+2i32−2i3−2+2i32+2i3−2−2i3000000000000000000000000000000000000000000000000
χ5866666666666-1-1-1-100000000-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000000000
χ59666666-66-6-6-6-1-1-1-100000000-1-11111-111-100000000000000000000000000000000000000
χ6066666-66-66-6-6-1-1-1-10000000011-1-111-1-11100000000000000000000000000000000000000
χ6166666-6-6-6-666-1-1-1-1000000001111-1-1-11-1100000000000000000000000000000000000000
χ626666-666-6-6-66-1-1-1-100000000-1-111111-1-1100000000000000000000000000000000000000
χ636666-66-6-666-6-1-1-1-100000000-1-1-1-1-1-1111100000000000000000000000000000000000000
χ646666-6-666-66-6-1-1-1-1000000001111-1-11-11-100000000000000000000000000000000000000
χ656666-6-6-666-66-1-1-1-10000000011-1-11111-1-100000000000000000000000000000000000000
χ661212-12-120000000-2-22200000000000027−27000000000000000000000000000000000000000000
χ671212-12-120000000-2-222000000000000−2727000000000000000000000000000000000000000000
χ6812-1212-120000000-222-200000000−2i72i70000000000000000000000000000000000000000000000
χ6912-1212-120000000-222-2000000002i7−2i70000000000000000000000000000000000000000000000
χ7012-12-12120000000-22-22000000000027−2700000000000000000000000000000000000000000000
χ7112-12-12120000000-22-220000000000−272700000000000000000000000000000000000000000000

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