Finite Group Databasebeta

← Group #10623944

Character table — Group #10623944

Order 720.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24
size11221515202024242424242430303030404060609090
order1236223651015153030446636121244
χ1111111111111111111111111
χ211111111111111-1-11111-1-1-1-1
χ31-11-11-11-11-111-1-1i−i1-11-1i−ii−i
χ41-11-11-11-11-111-1-1−ii1-11-1−ii−ii
χ522-1-1222222-1-1-1-100-1-1-1-10000
χ62-2-112-22-22-2-1-11100-11-110000
χ744440011-1-1-1-1-1-1220011-1-100
χ844440011-1-1-1-1-1-1-2-200111100
χ94-44-4001-1-11-1-1112i−2i001-1−ii00
χ104-44-4001-1-11-1-111−2i2i001-1i−i00
χ11555511-1-10000001111-1-111-1-1
χ12555511-1-1000000-1-111-1-1-1-111
χ135-55-51-1-11000000i−i1-1-11i−i−ii
χ145-55-51-1-11000000−ii1-1-11−iii−i
χ156666-2-20011111100-2-2000000
χ1666-3-3-2-20011−1−i152−1+i152−1−i152−1+i1520011000000
χ1766-3-3-2-20011−1+i152−1−i152−1+i152−1−i1520011000000
χ186-66-6-22001-111-1-100-22000000
χ196-6-33-22001-1−1−i152−1+i1521+i1521−i152001-1000000
χ206-6-33-22001-1−1+i152−1−i1521−i1521+i152001-1000000
χ2188-4-40022-2-211110000-1-10000
χ228-8-44002-2-2211-1-10000-110000
χ231010-5-522-2-200000000-1-1110000
χ2410-10-552-2-2200000000-111-10000

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