Finite Group Databasebeta

← Group #1017

Character table — Group #1017

Order 96.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51
size112222222222222221122222222222222211222222222222222
order122222222224444443666666666612121212121236666666666121212121212
χ1111111111111111111111111111111111111111111111111111
χ21111111-1-1-1-111-1-1-1-11111111-1-1-1-111-1-1-1-11111111-1-1-1-111-1-1-1-1
χ311111-1-111-1-1-1-111-1-111111-1-111-1-1-1-111-1-111111-1-111-1-1-1-111-1-1
χ411111-1-1-1-111-1-1-1-11111111-1-1-1-111-1-1-1-11111111-1-1-1-111-1-1-1-111
χ5111-1-1111-11-1-1-11-11-1111-1-1111-11-1-1-11-11-1111-1-1111-11-1-1-11-11-1
χ6111-1-111-11-11-1-1-11-11111-1-111-11-11-1-1-11-11111-1-111-11-11-1-1-11-11
χ7111-1-1-1-11-1-11111-1-11111-1-1-1-11-1-11111-1-11111-1-1-1-11-1-11111-1-11
χ8111-1-1-1-1-111-111-111-1111-1-1-1-1-111-111-111-1111-1-1-1-1-111-111-111-1
χ911-11-11-1111-11-1-1-1-1111-11-11-1111-11-1-1-1-1111-11-11-1111-11-1-1-1-11
χ1011-11-11-1-1-1-111-1111-111-11-11-1-1-1-111-1111-111-11-11-1-1-1-111-1111-1
χ1111-11-1-1111-11-11-1-11-111-11-1-1111-11-11-1-11-111-11-1-1111-11-11-1-11-1
χ1211-11-1-11-1-11-1-1111-1111-11-1-11-1-11-1-1111-1111-11-1-11-1-11-1-1111-11
χ1311-1-111-11-111-11-11-1-111-1-111-11-111-11-11-1-111-1-111-11-111-11-11-1-1
χ1411-1-111-1-11-1-1-111-11111-1-111-1-11-1-1-111-11111-1-111-1-11-1-1-111-111
χ1511-1-11-111-1-1-11-1-111111-1-11-111-1-1-11-1-111111-1-11-111-1-1-11-1-1111
χ1611-1-11-11-11111-11-1-1-111-1-11-11-11111-11-1-1-111-1-11-11-11111-11-1-1-1
χ174-40000000000000004-40000000000000004-4000000000000000
χ1811111111111111111−1+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−i32−1−i32−1−i32−1−i32−1−i32
χ191111111-1-1-1-111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32
χ2011111-1-111-1-1-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32
χ2111111-1-1-1-111-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ22111-1-1111-11-1-1-11-11-1−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32
χ23111-1-111-11-11-1-1-11-11−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i321+i32−1−i321+i32−1−i32
χ24111-1-1-1-11-1-11111-1-11−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32
χ25111-1-1-1-1-111-111-111-1−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32
χ2611-11-11-1111-11-1-1-1-11−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32
χ2711-11-11-1-1-1-111-1111-1−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i32
χ2811-11-1-1111-11-11-1-11-1−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i32
χ2911-11-1-11-1-11-1-1111-11−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32
χ3011-1-111-11-111-11-11-1-1−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32
χ3111-1-111-1-11-1-1-111-111−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32
χ3211-1-11-111-1-1-11-1-1111−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32
χ3311-1-11-11-11111-11-1-1-1−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32
χ344-4000000000000000−2+2i32−2i3000000000000000−2−2i32+2i3000000000000000
χ3511111111111111111−1−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+i32−1+i32−1+i32−1+i32−1+i32
χ361111111-1-1-1-111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32
χ3711111-1-111-1-1-1-111-1-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32
χ3811111-1-1-1-111-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ39111-1-1111-11-1-1-11-11-1−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32
χ40111-1-111-11-11-1-1-11-11−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i321−i32−1+i321−i32−1+i32
χ41111-1-1-1-11-1-11111-1-11−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32
χ42111-1-1-1-1-111-111-111-1−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32
χ4311-11-11-1111-11-1-1-1-11−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32
χ4411-11-11-1-1-1-111-1111-1−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i32
χ4511-11-1-1111-11-11-1-11-1−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i32
χ4611-11-1-11-1-11-1-1111-11−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32
χ4711-1-111-11-111-11-11-1-1−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32
χ4811-1-111-1-11-1-1-111-111−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32
χ4911-1-11-111-1-1-11-1-1111−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32
χ5011-1-11-11-11111-11-1-1-1−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32
χ514-4000000000000000−2−2i32+2i3000000000000000−2+2i32−2i3000000000000000

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