Finite Group Databasebeta

← Group #72231837

Character table — Group #72231837

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size1133888121212121212242424242424242424242424242424242464646464128128128128128128
order122222422444422224444444444444336666661212
χ11111111111111111111111111111111111111111
χ2111111111111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32
χ3111111111111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32
χ411111-1-1-1-111-1-111-1-1-1111-1-11111-1-1-111111-11-1-1-1
χ511111-1-1-1-111-1-111-1-1-1111-1-11111-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i321−i32−1−i321+i321−i321+i32
χ611111-1-1-1-111-1-111-1-1-1111-1-11111-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i321+i32−1+i321−i321+i321−i32
χ71111-11-1-1-111-1-1-1-111-111-11-111-1-111-11111-11-11-1-1
χ81111-11-1-1-111-1-1-1-111-111-11-111-1-111-1−1+i32−1−i32−1+i32−1−i321−i32−1+i321+i32−1−i321−i321+i32
χ91111-11-1-1-111-1-1-1-111-111-11-111-1-111-1−1−i32−1+i32−1−i32−1+i321+i32−1−i321−i32−1+i321+i321−i32
χ101111-1-11111111-1-1-1-1111-1-1111-1-1-1-111111-1-1-1-111
χ111111-1-11111111-1-1-1-1111-1-1111-1-1-1-11−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32
χ121111-1-11111111-1-1-1-1111-1-1111-1-1-1-11−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32
χ13333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-13-13-13-1-10000000000
χ143333333-1-133-1-13-1-1-13-1-1-13-1-1-1-1-1-1-1-10000000000
χ153333333-1-1-1-133-133-1-13-1-1-1-1-1-1-1-1-1-1-10000000000
χ163333333-1-1-1-1-1-1-1-1-13-1-133-1-1-1-1-1-1-1-130000000000
χ173333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-13-13-13-13-10000000000
χ1833333-3-31133113-111-3-1-1-1-31-1-1-1-11110000000000
χ1933333-3-311-1-111-1-1111-1-1-11-3-13-131-310000000000
χ2033333-3-311-1-111-1-11-31-13311-1-1-1-111-30000000000
χ2133333-3-311-1-1-3-3-13-3113-1-111-1-1-1-11110000000000
χ2233333-3-3-3-3-1-111-1-1111-1-1-1113-13-1-3110000000000
χ233333-33-3113311-31-1-1-3-1-1131-1-111-1-110000000000
χ243333-33-311-1-11111-131-13-3-11-1-111-1-1-30000000000
χ253333-33-311-1-11111-1-11-1-11-1-3-131-3-1310000000000
χ263333-33-311-1-1-3-31-33-113-11-11-1-111-1-110000000000
χ273333-33-3-3-3-1-11111-1-11-1-11-113-1-313-110000000000
χ283333-3-3333-1-1-1-11111-1-1-111-13-1-31-31-10000000000
χ293333-3-33-1-133-1-1-31113-1-11-3-1-1-11111-10000000000
χ303333-3-33-1-1-1-1331-3-31-13-111-1-1-11111-10000000000
χ313333-3-33-1-1-1-1-1-11111-1-1-1113-131-31-3-10000000000
χ323333-3-33-1-1-1-1-1-1111-3-1-13-31-1-1-1111130000000000
χ338-88-80000000000000000000000000022-2-2000000
χ348-88-800000000000000000000000000−1+i3−1−i31−i31+i3000000
χ358-88-800000000000000000000000000−1−i3−1+i31+i31−i3000000
χ3612-12-440004-44-44-4000000000000000000000000000
χ3712-12-440004-4-44-44000000000000000000000000000
χ3812-12-44000-444-4-44000000000000000000000000000
χ3912-12-44000-44-444-4000000000000000000000000000
χ402424-8-8000000000000000000000000000000000000

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