Finite Group Databasebeta

← Group #1295

Character table — Group #1295

Order 128.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38
size11111111222222224444444444444444448888
order12222222444444444488888888888888884444
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
χ511111111-1-1-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i11-1-1
χ611111111-1-1-1-1-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii-1-111
χ711111111-1-1-1-1-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-111
χ811111111-1-1-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii11-1-1
χ91-1-1111-1-111-1-111-1-11-111-1-111-1-1ii−i−iii−i−ii−ii−i
χ101-1-1111-1-111-1-111-1-11-111-1-111-1-1−i−iii−i−iii−ii−ii
χ111-1-1111-1-111-1-111-1-11-1-1-111-1-111ii−i−iii−i−i−ii−ii
χ121-1-1111-1-111-1-111-1-11-1-1-111-1-111−i−iii−i−iiii−ii−i
χ131-1-1111-1-1-1-111-1-1111-1ii−i−i−i−iii11-1-1-1-111−iii−i
χ141-1-1111-1-1-1-111-1-1111-1ii−i−i−i−iii-1-11111-1-1i−i−ii
χ151-1-1111-1-1-1-111-1-1111-1−i−iiiii−i−i11-1-1-1-111i−i−ii
χ161-1-1111-1-1-1-111-1-1111-1−i−iiiii−i−i-1-11111-1-1−iii−i
χ172222222222-2-2-2-222-2-200000000000000000000
χ1822222222-2-22222-2-2-2-200000000000000000000
χ1922-22-2-22-2002i−2i2i−2i0000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i0000
χ2022-22-2-22-2002i−2i2i−2i000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000
χ2122-22-2-22-200−2i2i−2i2i0000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i0000
χ2222-22-2-22-200−2i2i−2i2i000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000
χ2322-2-22-2-222i−2i00002i−2i001+i−1−i1+i−1−i1−i−1+i1−i−1+i000000000000
χ2422-2-22-2-222i−2i00002i−2i00−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000000000
χ2522-2-22-2-22−2i2i0000−2i2i001−i−1+i1−i−1+i1+i−1−i1+i−1−i000000000000
χ2622-2-22-2-22−2i2i0000−2i2i00−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000000000
χ272-222-2-2-22002i−2i−2i2i0000000000001+i−1−i−1−i1+i−1+i1−i1−i−1+i0000
χ282-222-2-2-22002i−2i−2i2i000000000000−1−i1+i1+i−1−i1−i−1+i−1+i1−i0000
χ292-222-2-2-2200−2i2i2i−2i0000000000001−i−1+i−1+i1−i−1−i1+i1+i−1−i0000
χ302-222-2-2-2200−2i2i2i−2i000000000000−1+i1−i1−i−1+i1+i−1−i−1−i1+i0000
χ312-22-22-22-22i−2i0000−2i2i001+i−1−i−1−i1+i1−i−1+i−1+i1−i000000000000
χ322-22-22-22-22i−2i0000−2i2i00−1−i1+i1+i−1−i−1+i1−i1−i−1+i000000000000
χ332-22-22-22-2−2i2i00002i−2i001−i−1+i−1+i1−i1+i−1−i−1−i1+i000000000000
χ342-22-22-22-2−2i2i00002i−2i00−1+i1−i1−i−1+i−1−i1+i1+i−1−i000000000000
χ352-2-2222-2-22222-2-2-2-2-2200000000000000000000
χ362-2-2222-2-2-2-2-2-22222-2200000000000000000000
χ37444-4-44-4-4000000000000000000000000000000
χ384-4-4-4-4444000000000000000000000000000000

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