Finite Group Databasebeta

← Group #72279216

Character table — Group #72279216

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size1133333333338881212121212121212121212121212121212121212121212122424242424242464646464128128128128128128
order12222222222244422222222444444444444444444444443366121212121212
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ31111111111111111111111111111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ41111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111111-1-11-1-1
χ51111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111−1−i32−1+i32−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32
χ61111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111−1+i32−1−i32−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32
χ7111111111111-11-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-111111111-11-1-11-1
χ8111111111111-11-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11111−1−i32−1+i32−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i32
χ9111111111111-11-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11111−1+i32−1−i32−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i32
χ10111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111111-1-11-1-11
χ11111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111−1−i32−1+i32−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i32
χ12111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111−1+i32−1−i32−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i32
χ13333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1333-1-1-1-10000000000
χ143333333333333-3-3-1-1-1-1-1-1-1-111111111111111113-3-3-1-1-1-10000000000
χ15333333333333-33-311111111-1-1-1-1-1-1-1-111111111-33-3-1-1-1-10000000000
χ16333333333333-3-331111111111111111-1-1-1-1-1-1-1-1-3-33-1-1-1-10000000000
χ1733-1-1-1-1-1-1-1-13333333-1-1-1-1-1-133-1-1-1-1-1-133-1-1-1-1-1-1-1-1-13-1-1-10000000000
χ1833-1-1-1-1-1-1-1-133333-1-133-1-1-1-1-1-133-1-1-1-1-1-133-1-1-1-1-1-1-1-13-1-10000000000
χ1933-1-1-1-1-1-1-1-133333-1-1-1-133-1-1-1-1-1-133-1-1-1-1-1-133-1-1-1-1-1-1-13-10000000000
χ2033-1-1-1-1-1-1-1-133333-1-1-1-1-1-133-1-1-1-1-1-133-1-1-1-1-1-133-1-1-1-1-1-130000000000
χ2133-1-1-1-1-1-1-1-1333-3-333-1-1-1-1-1-1-3-3111111-3-3111111-1113-1-1-10000000000
χ2233-1-1-1-1-1-1-1-1333-3-3-1-133-1-1-1-111-3-3111111-3-31111-111-13-1-10000000000
χ2333-1-1-1-1-1-1-1-1333-3-3-1-1-1-133-1-11111-3-3111111-3-311-111-1-13-10000000000
χ2433-1-1-1-1-1-1-1-1333-3-3-1-1-1-1-1-133111111-3-3111111-3-3-111-1-1-130000000000
χ2533-1-1-1-1-1-1-1-133-33-3111111-3-3-1-1-1-1-1-133111111-3-31-11-1-1-130000000000
χ2633-1-1-1-1-1-1-1-133-33-31111-3-311-1-1-1-133-1-11111-3-3111-11-1-13-10000000000
χ2733-1-1-1-1-1-1-1-133-33-311-3-31111-1-133-1-1-1-111-3-311111-11-13-1-10000000000
χ2833-1-1-1-1-1-1-1-133-33-3-3-311111133-1-1-1-1-1-1-3-31111111-113-1-1-10000000000
χ2933-1-1-1-1-1-1-1-133-3-33111111-3-3111111-3-3-1-1-1-1-1-13311-1-1-1-130000000000
χ3033-1-1-1-1-1-1-1-133-3-331111-3-3111111-3-311-1-1-1-133-1-111-1-1-13-10000000000
χ3133-1-1-1-1-1-1-1-133-3-3311-3-3111111-3-31111-1-133-1-1-1-111-1-13-1-10000000000
χ3233-1-1-1-1-1-1-1-133-3-33-3-3111111-3-311111133-1-1-1-1-1-111-13-1-1-10000000000
χ334-44444-4-4-4-4-440000000000000000000000000000000000-2-222000000
χ344-44444-4-4-4-4-4400000000000000000000000000000000001+i31−i3−1−i3−1+i3000000
χ354-44444-4-4-4-4-4400000000000000000000000000000000001−i31+i3−1+i3−1−i3000000
χ366-66-2-2-2222-62-20002-22-22-22-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i00000000000000000
χ376-66-2-2-2222-62-20002-22-22-22-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i00000000000000000
χ386-66-2-2-2222-62-2000-22-22-22-222i−2i2i−2i2i−2i2i−2i−2i2i−2i2i−2i2i−2i2i00000000000000000
χ396-66-2-2-2222-62-2000-22-22-22-22−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i00000000000000000
χ406-6-26-2-222-622-20002-22-2-22-222i−2i−2i2i2i−2i−2i2i2i−2i−2i2i−2i2i2i−2i00000000000000000
χ416-6-26-2-222-622-20002-22-2-22-22−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i00000000000000000
χ426-6-26-2-222-622-2000-22-222-22-22i−2i−2i2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i00000000000000000
χ436-6-26-2-222-622-2000-22-222-22-2−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i00000000000000000
χ446-6-2-26-22-6222-20002-2-222-2-222i−2i−2i2i−2i2i2i−2i2i−2i2i−2i−2i2i−2i2i00000000000000000
χ456-6-2-26-22-6222-20002-2-222-2-22−2i2i2i−2i2i−2i−2i2i−2i2i−2i2i2i−2i2i−2i00000000000000000
χ466-6-2-26-22-6222-2000-222-2-222-22i−2i−2i2i−2i2i2i−2i−2i2i−2i2i2i−2i2i−2i00000000000000000
χ476-6-2-26-22-6222-2000-222-2-222-2−2i2i2i−2i2i−2i−2i2i2i−2i2i−2i−2i2i−2i2i00000000000000000
χ486-6-2-2-26-62222-20002-2-22-222-22i−2i2i−2i−2i2i−2i2i2i−2i−2i2i2i−2i−2i2i00000000000000000
χ496-6-2-2-26-62222-20002-2-22-222-2−2i2i−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i2i−2i00000000000000000
χ506-6-2-2-26-62222-2000-222-22-2-222i−2i2i−2i−2i2i−2i2i−2i2i2i−2i−2i2i2i−2i00000000000000000
χ516-6-2-2-26-62222-2000-222-22-2-22−2i2i−2i2i2i−2i2i−2i2i−2i−2i2i2i−2i−2i2i00000000000000000
χ52121212-4-4-4-4-4-412-4-400000000000000000000000000000000000000000000
χ531212-412-4-4-4-412-4-4-400000000000000000000000000000000000000000000
χ541212-4-412-4-412-4-4-4-400000000000000000000000000000000000000000000
χ551212-4-4-41212-4-4-4-4-400000000000000000000000000000000000000000000
χ5612-12-4-4-4-44444-121200000000000000000000000000000000000000000000

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