Finite Group Databasebeta

← Group #1986

Character table — Group #1986

Order 128.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38
size11111111222222224444444444444444448888
order12224444224444444444444444888888884444
χ111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ6111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ7111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ8111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ91111-1-1-1-1-1-11111-1-11-1ii−i−iii−i−iii−i−iii−i−i1-11-1
χ101111-1-1-1-1-1-11111-1-11-1ii−i−iii−i−i−i−iii−i−iii-11-11
χ111111-1-1-1-1-1-11111-1-11-1−i−iii−i−iiiii−i−iii−i−i-11-11
χ121111-1-1-1-1-1-11111-1-11-1−i−iii−i−iii−i−iii−i−iii1-11-1
χ131111-1-1-1-1-1-111-1-111-11ii−i−i−i−iiiii−i−i−i−iii1-1-11
χ141111-1-1-1-1-1-111-1-111-11ii−i−i−i−iii−i−iiiii−i−i-111-1
χ151111-1-1-1-1-1-111-1-111-11−i−iiiii−i−iii−i−i−i−iii-111-1
χ161111-1-1-1-1-1-111-1-111-11−i−iiiii−i−i−i−iiiii−i−i1-1-11
χ1722222222-2-2-2-22222-2-200000000000000000000
χ1822222222-2-2-2-2-2-2-2-22200000000000000000000
χ192222-2-2-2-222-2-222-2-2-2200000000000000000000
χ202222-2-2-2-222-2-2-2-2222-200000000000000000000
χ2122-2-222-2-22-22-20000000000000000002-22-20000
χ2222-2-222-2-22-22-2000000000000000000-22-220000
χ2322-2-222-2-2-22-22000000000000002i−2i2i−2i00000000
χ2422-2-222-2-2-22-2200000000000000−2i2i−2i2i00000000
χ2522-2-2-2-2222-2-22000000000000002-2-2200000000
χ2622-2-2-2-2222-2-2200000000000000-222-200000000
χ2722-2-2-2-222-222-20000000000000000002i−2i−2i2i0000
χ2822-2-2-2-222-222-2000000000000000000−2i2i2i−2i0000
χ292-22-22i−2i2i−2i00002-22i−2i001+i−1−i1−i−1+i1+i−1−i1−i−1+i000000000000
χ302-22-22i−2i2i−2i00002-22i−2i00−1−i1+i−1+i1−i−1−i1+i−1+i1−i000000000000
χ312-22-22i−2i2i−2i0000-22−2i2i001+i−1−i1−i−1+i−1−i1+i−1+i1−i000000000000
χ322-22-22i−2i2i−2i0000-22−2i2i00−1−i1+i−1+i1−i1+i−1−i1−i−1+i000000000000
χ332-22-2−2i2i−2i2i00002-2−2i2i001−i−1+i1+i−1−i1−i−1+i1+i−1−i000000000000
χ342-22-2−2i2i−2i2i00002-2−2i2i00−1+i1−i−1−i1+i−1+i1−i−1−i1+i000000000000
χ352-22-2−2i2i−2i2i0000-222i−2i001−i−1+i1+i−1−i−1+i1−i−1−i1+i000000000000
χ362-22-2−2i2i−2i2i0000-222i−2i00−1+i1−i−1−i1+i1−i−1+i1+i−1−i000000000000
χ374-4-444i−4i−4i4i000000000000000000000000000000
χ384-4-44−4i4i4i−4i000000000000000000000000000000

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