Finite Group Databasebeta

← Group #152680

Character table — Group #152680

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size1122244444444448888881616161616161616161616161616323232323232
order12222224444444422444422444488888888888888
χ111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ31111111111111111111111-11-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111-1-111-1-111-1-1-1-1-111111iiii−i−i−i−i-1-1ii−i−i
χ6111111111-1-111-1-111-1-1-1-1-111111−i−i−i−iiiii-1-1−i−iii
χ7111111111-1-111-1-111-1-1-1-1-1-11-1-1-1iiii−i−i−i−i11−i−iii
χ8111111111-1-111-1-111-1-1-1-1-1-11-1-1-1−i−i−i−iiiii11ii−i−i
χ911111-1-1-1-11111-1-1111-1-1-111-11-1-1ii−i−iii−i−i1-1i−ii−i
χ1011111-1-1-1-11111-1-1111-1-1-111-11-1-1−i−iii−i−iii1-1−ii−ii
χ1111111-1-1-1-11111-1-1111-1-1-11-1-1-111ii−i−iii−i−i-11−ii−ii
χ1211111-1-1-1-11111-1-1111-1-1-11-1-1-111−i−iii−i−iii-11i−ii−i
χ1311111-1-1-1-1-1-1111111-1111-11-11-1-111-1-1-1-111-111-1-11
χ1411111-1-1-1-1-1-1111111-1111-11-11-1-1-1-11111-1-1-11-111-1
χ1511111-1-1-1-1-1-1111111-1111-1-1-1-11111-1-1-1-1111-1-111-1
χ1611111-1-1-1-1-1-1111111-1111-1-1-1-111-1-11111-1-11-11-1-11
χ17222222222222222-2-222-2-2-20-200000000000000000
χ18222222222-2-222-2-2-2-2-2-22220-200000000000000000
χ1922222-2-2-2-22222-2-2-2-22-222-20200000000000000000
χ2022222-2-2-2-2-2-22222-2-2-22-2-220200000000000000000
χ2122-22-20000002-2222-20-22-2000000002-22-200000000
χ2222-22-20000002-2222-20-22-200000000-22-2200000000
χ2322-22-20000002-222-220-2-220000002-200002-2000000
χ2422-22-20000002-222-220-2-22000000-220000-22000000
χ2522-22-20000002-2-2-22-202-22000000002i−2i−2i2i00000000
χ2622-22-20000002-2-2-22-202-2200000000−2i2i2i−2i00000000
χ2722-22-20000002-2-2-2-22022-20000002i−2i0000−2i2i000000
χ2822-22-20000002-2-2-2-22022-2000000−2i2i00002i−2i000000
χ294444444-4-400-4-40000000000000000000000000000
χ3044444-4-44400-4-40000000000000000000000000000
χ3144-44-4000044-440000-400000000000000000000000
χ3244-44-40000-4-4-440000400000000000000000000000
χ3344-4-444-400000000000000020-22-200000000000000
χ3444-4-444-4000000000000000-202-2200000000000000
χ3544-4-44-4400000000000000020-2-2200000000000000
χ3644-4-44-44000000000000000-2022-200000000000000
χ37888-8-8000000000000000000000000000000000000
χ388-8000004i−4i4-4004i−4i00000000000000000000000000
χ398-8000004i−4i-4400−4i4i00000000000000000000000000
χ408-800000−4i4i4-400−4i4i00000000000000000000000000
χ418-800000−4i4i-44004i−4i00000000000000000000000000

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