Finite Group Databasebeta

← Group #72237716

Character table — Group #72237716

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43
size112336881212121212121212121224242424242424242424242424242464646464128128128128128128
order124224222222222244224444444444444336666661212
χ11111111111111111111111111111111111111111111
χ2111111111111111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32
χ3111111111111111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32
χ4111111-1-11111-1-1-1-111-1-11111-1-1111-1-1-1-11111-1-1-1-111
χ5111111-1-11111-1-1-1-111-1-11111-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32
χ6111111-1-11111-1-1-1-111-1-11111-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32
χ711-111-11-1111111-1-1111-1-1-1-1-11-111-111-1-111111-11-1-1-1
χ811-111-11-1111111-1-1111-1-1-1-1-11-111-111-1-1−1+i32−1−i32−1+i32−1−i32−1+i321−i32−1−i321+i321−i321+i32
χ911-111-11-1111111-1-1111-1-1-1-1-11-111-111-1-1−1−i32−1+i32−1−i32−1+i32−1−i321+i32−1+i321−i321+i321−i32
χ1011-111-1-111111-1-11111-11-1-1-1-1-1111-1-1-1111111-11-11-1-1
χ1111-111-1-111111-1-11111-11-1-1-1-1-1111-1-1-111−1+i32−1−i32−1+i32−1−i321−i32−1+i321+i32−1−i321−i321+i32
χ1211-111-1-111111-1-11111-11-1-1-1-1-1111-1-1-111−1−i32−1+i32−1−i32−1+i321+i32−1−i321−i32−1+i321+i321−i32
χ133333333333-1-13333-1-1-1-13-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ1433333333-1-133-1-1-1-1-1-1-1-1-13-1-133-1-1-1-1-1-1-10000000000
χ1533333333-1-1-1-1-1-1-1-13333-1-1-1-1-1-1-1-13-1-1-1-10000000000
χ1633333333-1-1-1-1-1-1-1-1-1-1-1-1-1-13-1-1-13-1-13-13-10000000000
χ1733333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-13-1-1-13-1-13-130000000000
χ18333333-3-333-1-1-3-3-3-3-1-1113-1-1-111-1-1-111110000000000
χ19333333-3-3-1-1331111-1-111-13-1-1-3-3-1-1-111110000000000
χ20333333-3-3-1-1-1-1111133-3-3-1-1-1-111-1-1311110000000000
χ21333333-3-3-1-1-1-11111-1-111-1-13-1113-1-1-31-310000000000
χ22333333-3-3-1-1-1-11111-1-111-1-1-1311-13-11-31-30000000000
χ2333-333-33-333-1-133-3-3-1-1-11-3111-11-1-11-1-1110000000000
χ2433-333-33-3-1-133-1-111-1-1-111-3113-3-1-11-1-1110000000000
χ2533-333-33-3-1-1-1-1-1-111333-31111-11-1-1-3-1-1110000000000
χ2633-333-33-3-1-1-1-1-1-111-1-1-11111-3-11-131-131-30000000000
χ2733-333-33-3-1-1-1-1-1-111-1-1-1111-31-113-113-1-310000000000
χ2833-333-3-3333-1-1-3-333-1-11-1-31111-1-1-1111-1-10000000000
χ2933-333-3-33-1-13311-1-1-1-11-11-311-33-1-1111-1-10000000000
χ3033-333-3-33-1-1-1-111-1-133-3311111-1-1-1-311-1-10000000000
χ3133-333-3-33-1-1-1-111-1-1-1-11-1111-31-1-1311-3-130000000000
χ3233-333-3-33-1-1-1-111-1-1-1-11-111-311-13-11-313-10000000000
χ338-808-8000000000000000000000000000022-2-2000000
χ348-808-80000000000000000000000000000−1+i3−1−i31−i31+i3000000
χ358-808-80000000000000000000000000000−1−i3−1+i31+i31−i3000000
χ36121212-4-4-40000004-44-4000000000000000000000000000
χ37121212-4-4-4000000-44-44000000000000000000000000000
χ381212-12-4-440000004-4-44000000000000000000000000000
χ391212-12-4-44000000-444-4000000000000000000000000000
χ4012-120-440004-44-400004-40000000000000000000000000
χ4112-120-440004-4-440000-440000000000000000000000000
χ4212-120-44000-444-40000-440000000000000000000000000
χ4312-120-44000-44-4400004-40000000000000000000000000

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