Finite Group Databasebeta

← Group #10593486

Character table — Group #10593486

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42
size111144444444488889999121212121212121224242424242424243636363636
order12222336666666666222244444444121212121212121224444
χ1111111111111111111111111111111111111111111
χ211111111111111111111111-1-111-1-11111-1-1-1-11-1-1-1-1
χ3111111111111111111111-1-111-1-111-1-1-1-111111-1-1-1-1
χ4111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ51111-111111111-1-1-1-111111111-1-1-1-111-1-111-1-1-111-1-1
χ61111-111111111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-111
χ71111-111111111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-111
χ81111-111111111-1-1-1-11111-1-1-1-11111-1-111-1-111-111-1-1
χ922222222222222222-2-2-2-20000000000000000-20000
χ102222-222222222-2-2-2-2-2-2-2-2000000000000000020000
χ1122-2-20222-22-2-2-200002-22-20000002i−2i0000002i−2i00000
χ1222-2-20222-22-2-2-200002-22-2000000−2i2i000000−2i2i00000
χ1322-2-20222-22-2-2-20000-22-22002i−2i000000002i−2i0000000
χ1422-2-20222-22-2-2-20000-22-2200−2i2i00000000−2i2i0000000
χ152-22-2022-22-22-2-200002-2-222i−2i0000002i−2i00000000000
χ162-22-2022-22-22-2-200002-2-22−2i2i000000−2i2i00000000000
χ172-22-2022-22-22-2-20000-222-200002i−2i00002i−2i000000000
χ182-22-2022-22-22-2-20000-222-20000−2i2i0000−2i2i000000000
χ192-2-22022-2-2-2-222000022-2-200000000000000000002i−2i
χ202-2-22022-2-2-2-222000022-2-20000000000000000000−2i2i
χ212-2-22022-2-2-2-2220000-2-222000000000000000002-200
χ222-2-22022-2-2-2-2220000-2-22200000000000000000-2200
χ23444441-21-2-211-211-2-20000002200220000-1-1-1-100000
χ24444441-21-2-211-211-2-2000000-2-200-2-20000111100000
χ2544444-21-211-2-21-2-211000022002200-1-1-1-1000000000
χ2644444-21-211-2-21-2-2110000-2-200-2-2001111000000000
χ274444-41-21-2-211-2-1-1220000002200-2-20000-1-11100000
χ284444-41-21-2-211-2-1-122000000-2-20022000011-1-100000
χ294444-4-21-211-2-2122-1-100002200-2-200-1-111000000000
χ304444-4-21-211-2-2122-1-10000-2-200220011-1-1000000000
χ3144-4-401-212-2-1-123-3000000002i−2i002i−2i0000−ii−ii00000
χ3244-4-401-212-2-1-123-300000000−2i2i00−2i2i0000i−ii−i00000
χ3344-4-401-212-2-1-12-33000000002i−2i00−2i2i0000−iii−i00000
χ3444-4-401-212-2-1-12-3300000000−2i2i002i−2i0000i−i−ii00000
χ354-44-40-2121-1-22-1003-300002i−2i002i−2i00−ii−ii000000000
χ364-44-40-2121-1-22-1003-30000−2i2i00−2i2i00i−ii−i000000000
χ374-44-40-2121-1-22-100-3300002i−2i00−2i2i00−iii−i000000000
χ384-44-40-2121-1-22-100-330000−2i2i002i−2i00i−i−ii000000000
χ3988-8-80-42-4-2244-200000000000000000000000000000
χ408-88-802-4-2-442-2400000000000000000000000000000
χ418-8-8802-4-244-22-400000000000000000000000000000
χ428-8-880-424-2-24-4200000000000000000000000000000

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