Finite Group Databasebeta

← Group #72278680

Character table — Group #72278680

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43
size1133888121212121212121212121212242424242424242424242424242464646464128128128128128128
order122222422222222444422444444444444336666661212
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
χ411111-1-11111-1-1-1-1-1-1-1-11-11111-1111-1-1-1-111111-11-1-1-1
χ511111-1-11111-1-1-1-1-1-1-1-11-11111-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i321−i32−1−i321+i321−i321+i32
χ611111-1-11111-1-1-1-1-1-1-1-11-11111-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i321+i32−1+i321−i321+i321−i32
χ71111-11-111-1-111-1-1-1-1-1-1-11111-111-1-111-1-11111-11-11-1-1
χ81111-11-111-1-111-1-1-1-1-1-1-11111-111-1-111-1-1−1+i32−1−i32−1+i32−1−i321−i32−1+i321+i32−1−i321−i321+i32
χ91111-11-111-1-111-1-1-1-1-1-1-11111-111-1-111-1-1−1−i32−1+i32−1−i32−1+i321+i32−1−i321−i32−1+i321+i321−i32
χ101111-1-1111-1-1-1-1111111-1-1111-1-11-1-1-1-1111111-1-1-1-111
χ111111-1-1111-1-1-1-1111111-1-1111-1-11-1-1-1-111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32
χ121111-1-1111-1-1-1-1111111-1-1111-1-11-1-1-1-111−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32
χ133333333333333-1-133-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ143333333-1-1-1-1-1-133-1-1-1-1-1-1-1-1-1-1-133-13-1-1-10000000000
χ153333333-1-1-1-1-1-1-1-1-1-133-1-13-1-1-1-1-1-13-13-1-10000000000
χ163333333-1-1-1-1-1-1-1-1-1-1-1-13-1-13-1-13-1-1-1-1-13-10000000000
χ173333333-1-1-1-1-1-1-1-1-1-1-1-1-13-1-133-1-1-1-1-1-1-130000000000
χ1833333-3-33333-3-311-3-311-11-1-1-1-11-1-1-111110000000000
χ1933333-3-3-1-1-1-11111111131-13-1-1-3-1-1-111-310000000000
χ2033333-3-3-1-1-1-111111111-1-3-1-1331-1-1-1111-30000000000
χ2133333-3-3-1-1-1-1111111-3-3-113-1-1-11-1-131-3110000000000
χ2233333-3-3-1-1-1-111-3-31111-11-1-1-1-1133-1-31110000000000
χ233333-33-333-3-33311-3-3111-1-1-1-11-1-111-1-1110000000000
χ243333-33-3-1-111-1-111111113-1-13-3-1-111-1-11-30000000000
χ253333-33-3-1-111-1-1111111-3-1-13-113-111-1-1-310000000000
χ263333-33-3-1-111-1-11111-3-31-13-1-11-1-11-3-13110000000000
χ273333-33-3-1-111-1-1-3-311111-1-1-1-11-13-313-1110000000000
χ283333-3-3333-3-3-3-3-1-133-1-111-1-1-111-11111-1-10000000000
χ293333-3-33-1-1111133-1-1-1-111-1-1-1113-31-31-1-10000000000
χ303333-3-33-1-11111-1-1-1-133113-1-111-11-31-3-1-10000000000
χ313333-3-33-1-11111-1-1-1-1-1-11-3-1-13-31-11111-130000000000
χ323333-3-33-1-11111-1-1-1-1-1-1-31-13-11-3-111113-10000000000
χ338-88-80000000000000000000000000000022-2-2000000
χ348-88-800000000000000000000000000000−1+i3−1−i31−i31+i3000000
χ358-88-800000000000000000000000000000−1−i3−1+i31+i31−i3000000
χ361212-4-4000004-44-4004-400000000000000000000000000
χ371212-4-4000004-4-4400-4400000000000000000000000000
χ381212-4-400000-444-400-4400000000000000000000000000
χ391212-4-400000-44-44004-400000000000000000000000000
χ4012-12-440004-400004-4004-4000000000000000000000000
χ4112-12-440004-40000-4400-44000000000000000000000000
χ4212-12-44000-4400004-400-44000000000000000000000000
χ4312-12-44000-440000-44004-4000000000000000000000000

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