Finite Group Databasebeta

← Group #72220249

Character table — Group #72220249

Order 5184.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42
size118888161616161818323272728181144144144144144144144144144144162162162162162162162162162162162162648648
order12336633664436222266666666121244448888888844
χ1111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111-1-111-1-1-1-1-1-1-1-111111111111111-1-1
χ411111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ51111111111-1-1111-11111-1-111-1-1-1-1-1-1111111-1-1-1-11-1
χ61111111111-1-1111-11111-1-111-1-1-1-1-1-111-1-1-1-11111-11
χ71111111111-1-111-1111-1-111-1-111-1-1-1-1111111-1-1-1-1-11
χ81111111111-1-111-1111-1-111-1-111-1-1-1-111-1-1-1-111111-1
χ92222222222222200220000000022-2-2-2-20000000000
χ1022222222222-22200-2-2000000002-20000i2i2−i2−i2i2i2−i2−i200
χ1122222222222-22200-2-2000000002-20000−i2−i2i2i2−i2−i2i2i200
χ122222222222-222200-2-200000000-220000i2i2−i2−i2−i2−i2i2i200
χ132222222222-222200-2-200000000-220000−i2−i2i2i2i2i2−i2−i200
χ142222222222-2-222002200000000-2-222-2-20000000000
χ152-222-2-222-2-2002-2002-20000000000002-200002i−2i2i−2i00
χ162-222-2-222-2-2002-2002-20000000000002-20000−2i2i−2i2i00
χ172-222-2-222-2-2002-2002-2000000000000-222i−2i2i−2i000000
χ182-222-2-222-2-2002-2002-2000000000000-22−2i2i−2i2i000000
χ192-222-2-222-2-2002-200-2200000000002-2002−2−222−2−2200
χ202-222-2-222-2-2002-200-2200000000002-200−222−2−222−200
χ212-222-2-222-2-2002-200-220000000000-22002−2−22−222−200
χ222-222-2-222-2-2002-200-220000000000-2200−222−22−2−2200
χ23888-18-1-1-1-1-108-1-122002-12-1-1-1-1-10-100000000000000
χ24888-18-1-1-1-1-108-1-1-2-200-21-2111110-100000000000000
χ25888-18-1-1-1-1-10-8-1-12-2002-1-21-1-1110100000000000000
χ26888-18-1-1-1-1-10-8-1-1-2200-212-111-1-10100000000000000
χ2788-18-18-1-1-1-180-1-12200-12-12-1-1-1-1-1000000000000000
χ2888-18-18-1-1-1-180-1-1-2-2001-21-21111-1000000000000000
χ2988-18-18-1-1-1-1-80-1-12-200-121-2-1-1111000000000000000
χ3088-18-18-1-1-1-1-80-1-1-22001-2-1211-1-11000000000000000
χ311616-2-2-2-27-27-200-2-2040000-2-200110000000000000000
χ321616-2-2-2-27-27-200-2-20-400002200-1-10000000000000000
χ331616-2-2-2-2-27-2700-2-24000-2-20011000000000000000000
χ341616-2-2-2-2-27-2700-2-2-40002200-1-1000000000000000000
χ3516-1616-2-162-2-22200-220000000000000000000000000000
χ3616-16-2162-16-2-22200-220000000000000000000000000000
χ3716-16-2-2227-2-7200-2200000000003-30000000000000000
χ3816-16-2-2227-2-7200-220000000000-330000000000000000
χ3916-16-2-222-272-700-22000000003-3000000000000000000
χ4016-16-2-222-272-700-2200000000-33000000000000000000
χ413232-4-4-4-4-4-4-4-400550000000000000000000000000000
χ4232-32-4-444-4-444005-50000000000000000000000000000

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