Finite Group Databasebeta

← Group #72239991

Character table — Group #72239991

Order 3072.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size133333466666666121212121224242424242424242424242424242424256256256256133333466666666121212121224242424242424242424242424242424256256256256
order12444422244444424444888888888888888833662244442224444442444488888888888888886666
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111−1−i32−1+i32−1−i32−1+i32111111111111111111111111111111111111−1−i32−1+i32−1−i32−1+i32
χ3111111111111111111111111111111111111−1+i32−1−i32−1+i32−1−i32111111111111111111111111111111111111−1+i32−1−i32−1+i32−1−i32
χ4222222-2-2-2-2-2-2-2-2-22222-20000000000000000-1-111222222-2-2-2-2-2-2-2-2-22222-20000000000000000-1-111
χ5222222-2-2-2-2-2-2-2-2-22222-200000000000000001+i321−i32−1−i32−1+i32222222-2-2-2-2-2-2-2-2-22222-200000000000000001+i321−i32−1−i32−1+i32
χ6222222-2-2-2-2-2-2-2-2-22222-200000000000000001−i321+i32−1+i32−1−i32222222-2-2-2-2-2-2-2-2-22222-200000000000000001−i321+i32−1+i32−1−i32
χ733333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000033333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000
χ83333333-1-1-1-1-1-1-1-1-1-1-1-1311111111−1+2i−1+2i−1+2i−1+2i−1−2i−1−2i−1−2i−1−2i00003333333-1-1-1-1-1-1-1-1-1-1-1-1311111111−1+2i−1+2i−1+2i−1+2i−1−2i−1−2i−1−2i−1−2i0000
χ93333333-1-1-1-1-1-1-1-1-1-1-1-1311111111−1−2i−1−2i−1−2i−1−2i−1+2i−1+2i−1+2i−1+2i00003333333-1-1-1-1-1-1-1-1-1-1-1-1311111111−1−2i−1−2i−1−2i−1−2i−1+2i−1+2i−1+2i−1+2i0000
χ103333333-1-1-1-1-1-1-1-1-1-1-1-13−1+2i−1+2i−1+2i−1+2i−1−2i−1−2i−1−2i−1−2i1111111100003333333-1-1-1-1-1-1-1-1-1-1-1-13−1+2i−1+2i−1+2i−1+2i−1−2i−1−2i−1−2i−1−2i111111110000
χ113333333-1-1-1-1-1-1-1-1-1-1-1-13−1−2i−1−2i−1−2i−1−2i−1+2i−1+2i−1+2i−1+2i1111111100003333333-1-1-1-1-1-1-1-1-1-1-1-13−1−2i−1−2i−1−2i−1−2i−1+2i−1+2i−1+2i−1+2i111111110000
χ1233-1-1-1-1333-1-1-1-1-1-13-1-1-1-111−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i000033-1-1-1-1333-1-1-1-1-1-13-1-1-1-111−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i0000
χ1333-1-1-1-1333-1-1-1-1-1-13-1-1-1-111−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i000033-1-1-1-1333-1-1-1-1-1-13-1-1-1-111−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i0000
χ1433-1-1-1-1333-1-1-1-1-1-13-1-1-1-1−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11000033-1-1-1-1333-1-1-1-1-1-13-1-1-1-1−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i110000
χ1533-1-1-1-1333-1-1-1-1-1-13-1-1-1-1−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11000033-1-1-1-1333-1-1-1-1-1-13-1-1-1-1−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i110000
χ1633-1-1-1-13-1-133-1-1-1-1-13-1-1-11−1+2i1−1−2i−1−2i1−1+2i11−1−2i1−1+2i−1+2i1−1−2i1000033-1-1-1-13-1-133-1-1-1-1-13-1-1-11−1+2i1−1−2i−1−2i1−1+2i11−1−2i1−1+2i−1+2i1−1−2i10000
χ1733-1-1-1-13-1-133-1-1-1-1-13-1-1-11−1−2i1−1+2i−1+2i1−1−2i11−1+2i1−1−2i−1−2i1−1+2i1000033-1-1-1-13-1-133-1-1-1-1-13-1-1-11−1−2i1−1+2i−1+2i1−1−2i11−1+2i1−1−2i−1−2i1−1+2i10000
χ1833-1-1-1-13-1-133-1-1-1-1-13-1-1-1−1+2i1−1−2i11−1−2i1−1+2i−1−2i1−1+2i11−1+2i1−1−2i000033-1-1-1-13-1-133-1-1-1-1-13-1-1-1−1+2i1−1−2i11−1−2i1−1+2i−1−2i1−1+2i11−1+2i1−1−2i0000
χ1933-1-1-1-13-1-133-1-1-1-1-13-1-1-1−1−2i1−1+2i11−1+2i1−1−2i−1+2i1−1−2i11−1−2i1−1+2i000033-1-1-1-13-1-133-1-1-1-1-13-1-1-1−1−2i1−1+2i11−1+2i1−1−2i−1+2i1−1−2i11−1−2i1−1+2i0000
χ2033-1-1-1-13-1-1-1-133-1-1-1-13-1-11−1+2i−1−2i1−1−2i11−1+2i−1+2i11−1−2i1−1−2i−1+2i1000033-1-1-1-13-1-1-1-133-1-1-1-13-1-11−1+2i−1−2i1−1−2i11−1+2i−1+2i11−1−2i1−1−2i−1+2i10000
χ2133-1-1-1-13-1-1-1-133-1-1-1-13-1-11−1−2i−1+2i1−1+2i11−1−2i−1−2i11−1+2i1−1+2i−1−2i1000033-1-1-1-13-1-1-1-133-1-1-1-13-1-11−1−2i−1+2i1−1+2i11−1−2i−1−2i11−1+2i1−1+2i−1−2i10000
χ2233-1-1-1-13-1-1-1-133-1-1-1-13-1-1−1+2i11−1−2i1−1−2i−1+2i11−1+2i−1−2i1−1−2i11−1+2i000033-1-1-1-13-1-1-1-133-1-1-1-13-1-1−1+2i11−1−2i1−1−2i−1+2i11−1+2i−1−2i1−1−2i11−1+2i0000
χ2333-1-1-1-13-1-1-1-133-1-1-1-13-1-1−1−2i11−1+2i1−1+2i−1−2i11−1−2i−1+2i1−1+2i11−1−2i000033-1-1-1-13-1-1-1-133-1-1-1-13-1-1−1−2i11−1+2i1−1+2i−1−2i11−1−2i−1+2i1−1+2i11−1−2i0000
χ2433-1-1-1-13-1-1-1-1-1-133-1-1-13-13-1-1-1-13-1-1-1-1-13-1-13-1000033-1-1-1-13-1-1-1-1-1-133-1-1-13-13-1-1-1-13-1-1-1-1-13-1-13-10000
χ2533-1-1-1-13-1-1-1-1-1-133-1-1-13-1-13-1-13-1-1-1-1-13-1-1-1-13000033-1-1-1-13-1-1-1-1-1-133-1-1-13-1-13-1-13-1-1-1-1-13-1-1-1-130000
χ2633-1-1-1-13-1-1-1-1-1-133-1-1-13-1-1-13-1-1-1-13-13-1-13-1-1-1000033-1-1-1-13-1-1-1-1-1-133-1-1-13-1-1-13-1-1-1-13-13-1-13-1-1-10000
χ2733-1-1-1-13-1-1-1-1-1-133-1-1-13-1-1-1-13-1-13-13-1-1-1-13-1-1000033-1-1-1-13-1-1-1-1-1-133-1-1-13-1-1-1-13-1-13-13-1-1-1-13-1-10000
χ28666666-622222222-2-2-2-2-600000000000000000000666666-622222222-2-2-2-2-600000000000000000000
χ2966-2-2-2-2-6222222-6-6-2-2-2620000000000000000000066-2-2-2-2-6222222-6-6-2-2-26200000000000000000000
χ3066-2-2-2-2-62222-6-622-2-26-220000000000000000000066-2-2-2-2-62222-6-622-2-26-2200000000000000000000
χ3166-2-2-2-2-622-6-62222-26-2-220000000000000000000066-2-2-2-2-622-6-62222-26-2-2200000000000000000000
χ3266-2-2-2-2-6-6-62222226-2-2-220000000000000000000066-2-2-2-2-6-6-62222226-2-2-2200000000000000000000
χ3312-444−4+8i−4−8i04-44i−4i4i−4i4-4000000000000000000000000012-444−4+8i−4−8i04-44i−4i4i−4i4-40000000000000000000000000
χ3412-444−4+8i−4−8i0-44−4i4i−4i4i-44000000000000000000000000012-444−4+8i−4−8i0-44−4i4i−4i4i-440000000000000000000000000
χ3512-444−4−8i−4+8i04-4−4i4i−4i4i4-4000000000000000000000000012-444−4−8i−4+8i04-4−4i4i−4i4i4-40000000000000000000000000
χ3612-444−4−8i−4+8i0-444i−4i4i−4i-44000000000000000000000000012-444−4−8i−4+8i0-444i−4i4i−4i-440000000000000000000000000
χ3712-4−4+8i−4−8i4404-44i−4i−4i4i-44000000000000000000000000012-4−4+8i−4−8i4404-44i−4i−4i4i-440000000000000000000000000
χ3812-4−4+8i−4−8i440-44−4i4i4i−4i4-4000000000000000000000000012-4−4+8i−4−8i440-44−4i4i4i−4i4-40000000000000000000000000
χ3912-4−4−8i−4+8i4404-4−4i4i4i−4i-44000000000000000000000000012-4−4−8i−4+8i4404-4−4i4i4i−4i-440000000000000000000000000
χ4012-4−4−8i−4+8i440-444i−4i−4i4i4-4000000000000000000000000012-4−4−8i−4+8i440-444i−4i−4i4i4-40000000000000000000000000
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ42111111111111111111111111111111111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i32
χ43111111111111111111111111111111111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i32
χ44222222-2-2-2-2-2-2-2-2-22222-20000000000000000-1-111-2-2-2-2-2-2222222222-2-2-2-22000000000000000011-1-1
χ45222222-2-2-2-2-2-2-2-2-22222-200000000000000001+i321−i32−1−i32−1+i32-2-2-2-2-2-2222222222-2-2-2-220000000000000000−1−i32−1+i321+i321−i32
χ46222222-2-2-2-2-2-2-2-2-22222-200000000000000001−i321+i32−1+i32−1−i32-2-2-2-2-2-2222222222-2-2-2-220000000000000000−1+i32−1−i321−i321+i32
χ4733333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-311111111111111110000
χ483333333-1-1-1-1-1-1-1-1-1-1-1-1311111111−1+2i−1+2i−1+2i−1+2i−1−2i−1−2i−1−2i−1−2i0000-3-3-3-3-3-3-3111111111111-3-1-1-1-1-1-1-1-11−2i1−2i1−2i1−2i1+2i1+2i1+2i1+2i0000
χ493333333-1-1-1-1-1-1-1-1-1-1-1-1311111111−1−2i−1−2i−1−2i−1−2i−1+2i−1+2i−1+2i−1+2i0000-3-3-3-3-3-3-3111111111111-3-1-1-1-1-1-1-1-11+2i1+2i1+2i1+2i1−2i1−2i1−2i1−2i0000
χ503333333-1-1-1-1-1-1-1-1-1-1-1-13−1+2i−1+2i−1+2i−1+2i−1−2i−1−2i−1−2i−1−2i111111110000-3-3-3-3-3-3-3111111111111-31−2i1−2i1−2i1−2i1+2i1+2i1+2i1+2i-1-1-1-1-1-1-1-10000
χ513333333-1-1-1-1-1-1-1-1-1-1-1-13−1−2i−1−2i−1−2i−1−2i−1+2i−1+2i−1+2i−1+2i111111110000-3-3-3-3-3-3-3111111111111-31+2i1+2i1+2i1+2i1−2i1−2i1−2i1−2i-1-1-1-1-1-1-1-10000
χ5233-1-1-1-1333-1-1-1-1-1-13-1-1-1-111−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i0000-3-31111-3-3-3111111-31111-1-11−2i1+2i-1-11−2i1+2i-1-11−2i1+2i-1-11−2i1+2i0000
χ5333-1-1-1-1333-1-1-1-1-1-13-1-1-1-111−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i0000-3-31111-3-3-3111111-31111-1-11+2i1−2i-1-11+2i1−2i-1-11+2i1−2i-1-11+2i1−2i0000
χ5433-1-1-1-1333-1-1-1-1-1-13-1-1-1-1−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i110000-3-31111-3-3-3111111-311111−2i1+2i-1-11−2i1+2i-1-11−2i1+2i-1-11−2i1+2i-1-10000
χ5533-1-1-1-1333-1-1-1-1-1-13-1-1-1-1−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i110000-3-31111-3-3-3111111-311111+2i1−2i-1-11+2i1−2i-1-11+2i1−2i-1-11+2i1−2i-1-10000
χ5633-1-1-1-13-1-133-1-1-1-1-13-1-1-11−1+2i1−1−2i−1−2i1−1+2i11−1−2i1−1+2i−1+2i1−1−2i10000-3-31111-311-3-311111-3111-11−2i-11+2i1+2i-11−2i-1-11+2i-11−2i1−2i-11+2i-10000
χ5733-1-1-1-13-1-133-1-1-1-1-13-1-1-11−1−2i1−1+2i−1+2i1−1−2i11−1+2i1−1−2i−1−2i1−1+2i10000-3-31111-311-3-311111-3111-11+2i-11−2i1−2i-11+2i-1-11−2i-11+2i1+2i-11−2i-10000
χ5833-1-1-1-13-1-133-1-1-1-1-13-1-1-1−1+2i1−1−2i11−1−2i1−1+2i−1−2i1−1+2i11−1+2i1−1−2i0000-3-31111-311-3-311111-31111−2i-11+2i-1-11+2i-11−2i1+2i-11−2i-1-11−2i-11+2i0000
χ5933-1-1-1-13-1-133-1-1-1-1-13-1-1-1−1−2i1−1+2i11−1+2i1−1−2i−1+2i1−1−2i11−1−2i1−1+2i0000-3-31111-311-3-311111-31111+2i-11−2i-1-11−2i-11+2i1−2i-11+2i-1-11+2i-11−2i0000
χ6033-1-1-1-13-1-1-1-133-1-1-1-13-1-11−1+2i−1−2i1−1−2i11−1+2i−1+2i11−1−2i1−1−2i−1+2i10000-3-31111-31111-3-31111-311-11−2i1+2i-11+2i-1-11−2i1−2i-1-11+2i-11+2i1−2i-10000
χ6133-1-1-1-13-1-1-1-133-1-1-1-13-1-11−1−2i−1+2i1−1+2i11−1−2i−1−2i11−1+2i1−1+2i−1−2i10000-3-31111-31111-3-31111-311-11+2i1−2i-11−2i-1-11+2i1+2i-1-11−2i-11−2i1+2i-10000
χ6233-1-1-1-13-1-1-1-133-1-1-1-13-1-1−1+2i11−1−2i1−1−2i−1+2i11−1+2i−1−2i1−1−2i11−1+2i0000-3-31111-31111-3-31111-3111−2i-1-11+2i-11+2i1−2i-1-11−2i1+2i-11+2i-1-11−2i0000
χ6333-1-1-1-13-1-1-1-133-1-1-1-13-1-1−1−2i11−1+2i1−1+2i−1−2i11−1−2i−1+2i1−1+2i11−1−2i0000-3-31111-31111-3-31111-3111+2i-1-11−2i-11−2i1+2i-1-11+2i1−2i-11−2i-1-11+2i0000
χ6433-1-1-1-13-1-1-1-1-1-133-1-1-13-13-1-1-1-13-1-1-1-1-13-1-13-10000-3-31111-3111111-3-3111-31-31111-311111-311-310000
χ6533-1-1-1-13-1-1-1-1-1-133-1-1-13-1-13-1-13-1-1-1-1-13-1-1-1-130000-3-31111-3111111-3-3111-311-311-311111-31111-30000
χ6633-1-1-1-13-1-1-1-1-1-133-1-1-13-1-1-13-1-1-1-13-13-1-13-1-1-10000-3-31111-3111111-3-3111-3111-31111-31-311-31110000
χ6733-1-1-1-13-1-1-1-1-1-133-1-1-13-1-1-1-13-1-13-13-1-1-1-13-1-10000-3-31111-3111111-3-3111-31111-311-31-31111-3110000
χ68666666-622222222-2-2-2-2-600000000000000000000-6-6-6-6-6-66-2-2-2-2-2-2-2-22222600000000000000000000
χ6966-2-2-2-2-6222222-6-6-2-2-26200000000000000000000-6-622226-2-2-2-2-2-266222-6-200000000000000000000
χ7066-2-2-2-2-62222-6-622-2-26-2200000000000000000000-6-622226-2-2-2-266-2-222-62-200000000000000000000
χ7166-2-2-2-2-622-6-62222-26-2-2200000000000000000000-6-622226-2-266-2-2-2-22-622-200000000000000000000
χ7266-2-2-2-2-6-6-62222226-2-2-2200000000000000000000-6-62222666-2-2-2-2-2-2-6222-200000000000000000000
χ7312-444−4+8i−4−8i04-44i−4i4i−4i4-40000000000000000000000000-124-4-44−8i4+8i0-44−4i4i−4i4i-440000000000000000000000000
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χ7512-444−4−8i−4+8i04-4−4i4i−4i4i4-40000000000000000000000000-124-4-44+8i4−8i0-444i−4i4i−4i-440000000000000000000000000
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χ7712-4−4+8i−4−8i4404-44i−4i−4i4i-440000000000000000000000000-1244−8i4+8i-4-40-44−4i4i4i−4i4-40000000000000000000000000
χ7812-4−4+8i−4−8i440-44−4i4i4i−4i4-40000000000000000000000000-1244−8i4+8i-4-404-44i−4i−4i4i-440000000000000000000000000
χ7912-4−4−8i−4+8i4404-4−4i4i4i−4i-440000000000000000000000000-1244+8i4−8i-4-40-444i−4i−4i4i4-40000000000000000000000000
χ8012-4−4−8i−4+8i440-444i−4i−4i4i4-40000000000000000000000000-1244+8i4−8i-4-404-4−4i4i4i−4i-440000000000000000000000000

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