Finite Group Databasebeta

← Group #91908

Character table — Group #91908

Order 480.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39
size1122244455668888810101010101010151515152020202020242430303030
order12346510122244152030606044444664444121212121220204444
χ1111111111111111111111111111111111111111
χ2111111111111111111-1-1-1-111-1-1-1-11-1-1-1-11111-1-1
χ31111111111-1-1111111111111-1-1-1-111111-1-1-1-1-1-1
χ41111111111-1-1111111-1-1-1-11111111-1-1-1-1-1-1-1-111
χ511111111-1-11111111-1ii−i−i-1-1ii−i−i-1ii−i−i11-1-1i−i
χ611111111-1-11111111-1−i−iii-1-1−i−iii-1−i−iii11-1-1−ii
χ711111111-1-1-1-111111-1ii−i−i-1-1−i−iii-1ii−i−i-1-111−ii
χ811111111-1-1-1-111111-1−i−iii-1-1ii−i−i-1−i−iii-1-111i−i
χ9111-1111-1111-11-11-1-1-11-11-1111111-11-11-11-11-1-1-1
χ10111-1111-1111-11-11-1-1-1-11-1111-1-1-1-1-1-11-111-11-111
χ11111-1111-111-111-11-1-1-11-11-111-1-1-1-1-11-11-1-11-1111
χ12111-1111-111-111-11-1-1-1-11-11111111-1-11-11-11-11-1-1
χ13111-1111-1-1-11-11-11-1-11i−i−ii-1-1ii−i−i1i−i−ii1-1-11−ii
χ14111-1111-1-1-11-11-11-1-11−iii−i-1-1−i−iii1−iii−i1-1-11i−i
χ15111-1111-1-1-1-111-11-1-11i−i−ii-1-1−i−iii1i−i−ii-111-1i−i
χ16111-1111-1-1-1-111-11-1-11−iii−i-1-1ii−i−i1−iii−i-111-1−ii
χ1722-12-122-12200-12-1-1-122222-1-10000-1-1-1-1-1000000
χ1822-12-122-12200-12-1-1-12-2-2-2-2-1-10000-11111000000
χ1922-12-122-1-2-200-12-1-1-1-22i2i−2i−2i1100001−i−iii000000
χ2022-12-122-1-2-200-12-1-1-1-2−2i−2i2i2i1100001ii−i−i000000
χ2122-1-2-12212200-1-2-111-22-22-2-1-100001-11-11000000
χ2222-1-2-12212200-1-2-111-2-22-22-1-1000011-11-1000000
χ2322-1-2-1221-2-200-1-2-11122i−2i−2i2i110000-1−iii−i000000
χ2422-1-2-1221-2-200-1-2-1112−2i2i2i−2i110000-1i−i−ii000000
χ252-220-22-202-20020-200000002-22-22-200000000000
χ262-220-22-202-20020-200000002-2-22-2200000000000
χ272-220-22-20-220020-20000000-222i−2i−2i2i00000000000
χ282-220-22-20-220020-20000000-22−2i2i2i−2i00000000000
χ2944444-1-140044-1-1-1-1-10000000000000000-1-10000
χ3044444-1-1400-4-4-1-1-1-1-10000000000000000110000
χ31444-44-1-1-4004-4-11-1110000000000000000-110000
χ32444-44-1-1-400-44-11-11100000000000000001-10000
χ334-4-2024-404-400-2020000000-22000000000000000
χ344-4-2024-40-4400-20200000002-2000000000000000
χ3588-48-4-2-2-400001-21110000000000000000000000
χ3688-4-8-4-2-240000121-1-10000000000000000000000
χ378-880-8-2200000-202000000000000000000000000
χ388-8-404-220000010-1−15150000000000000000000000
χ398-8-404-220000010-115−150000000000000000000000

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