Finite Group Databasebeta

← Group #72278392

Character table — Group #72278392

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size113388812121212121212121212121212122424242424242424242424242464646464128128128128128128
order12224442222224444444422444444444443366121212121212
χ111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ31111111111111111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ411111-1-111-1-1-1-11111-1-1-1-11-111-1111-11-1-1-111111-1-11-1-1
χ511111-1-111-1-1-1-11111-1-1-1-11-111-1111-11-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32
χ611111-1-111-1-1-1-11111-1-1-1-11-111-1111-11-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32
χ71111-11-1-1-111-1-111-1-111-1-1-1111-111-11-11-1-11111-11-1-11-1
χ81111-11-1-1-111-1-111-1-111-1-1-1111-111-11-11-1-1−1−i32−1+i32−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i32
χ91111-11-1-1-111-1-111-1-111-1-1-1111-111-11-11-1-1−1+i32−1−i32−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i32
χ101111-1-11-1-1-1-11111-1-1-1-111-1-111111-1-1-1-1111111-1-11-1-11
χ111111-1-11-1-1-1-11111-1-1-1-111-1-111111-1-1-1-111−1−i32−1+i32−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i32
χ121111-1-11-1-1-1-11111-1-1-1-111-1-111111-1-1-1-111−1+i32−1−i32−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i32
χ13333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-13-1-1-1-1-1-1-133-10000000000
χ143333333-1-133-1-1-1-1-1-1-1-1-1-1-1-1-13-1-1-1-1-13-1-130000000000
χ153333333-1-1-1-133-1-13333-1-1-1-1-1-1-13-1-1-1-1-1-1-10000000000
χ163333333-1-1-1-1-1-133-1-1-1-1-1-1-1-1-1-13-1-133-1-1-1-10000000000
χ173333333-1-1-1-1-1-1-1-1-1-1-1-13333-1-1-1-13-1-1-1-1-1-10000000000
χ1833333-3-3331111-1-1-1-11111-113-11-1-1-11-1-3-310000000000
χ1933333-3-3-1-1111133-1-11111-11-1-1-3-1-13-3-11110000000000
χ2033333-3-3-1-11111-1-1-1-111-3-33-3-1-11-13-11-11110000000000
χ2133333-3-3-1-111-3-3-1-133-3-311-11-1-113-1-11-11110000000000
χ2233333-3-3-1-1-3-311-1-1-1-11111-11-131-1-1-11311-30000000000
χ233333-33-3113311-1-111-1-1111-1-131-1-11-1-3-11-30000000000
χ243333-33-311-1-1113311-1-1111-1-1-1-3-1-1-331-1110000000000
χ253333-33-311-1-111-1-111-1-1-3-3-33-1-11-131-11-1110000000000
χ263333-33-311-1-1-3-3-1-1-3-333111-1-1-113-11-11-1110000000000
χ273333-33-3-3-3-1-111-1-111-1-1111-13-11-1-11-113-310000000000
χ283333-3-33111133-1-1-3-3-3-3-1-111-1-1-13-11111-1-10000000000
χ293333-3-331111-1-1331111-1-111-1-13-1-1-3-311-1-10000000000
χ303333-3-331111-1-1-1-1111133-3-3-1-1-1-131111-1-10000000000
χ313333-3-3311-3-3-1-1-1-11111-1-111-13-1-1-111-31-130000000000
χ323333-3-33-3-311-1-1-1-11111-1-1113-1-1-1-1111-33-10000000000
χ334-4-440000000004-40000000000000000000-2-222000000
χ344-4-440000000004-400000000000000000001+i31−i3−1−i3−1+i3000000
χ354-4-440000000004-400000000000000000001−i31+i3−1+i3−1−i3000000
χ361212-4-40004-44-4000000004-400000000000000000000000
χ371212-4-40004-4-4400000000-4400000000000000000000000
χ381212-4-4000-444-400000000-4400000000000000000000000
χ391212-4-4000-44-44000000004-400000000000000000000000
χ4012-124-400000004-4004i−4i4i−4i0000000000000000000000000
χ4112-124-400000004-400−4i4i−4i4i0000000000000000000000000
χ4212-124-40000000-44004i−4i−4i4i0000000000000000000000000
χ4312-124-40000000-4400−4i4i4i−4i0000000000000000000000000
χ4412-12-1212000000000-4400000000000000000000000000000

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