Finite Group Databasebeta

← Group #174

Character table — Group #174

Order 40.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16
size1122225511222255
order1255101044221010101044
χ11111111111111111
χ2111111-1-1111111-1-1
χ31-111-1-1i−i1-111-1-1i−i
χ41-111-1-1−ii1-111-1-1−ii
χ522−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−5200
χ622−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+5200
χ72-2−1+52−1−521−521+52002-2−1+52−1−521−521+5200
χ82-2−1−52−1+521+521−52002-2−1−52−1+521+521−5200
χ911111111-1-1-1-1-1-1-1-1
χ10111111-1-1-1-1-1-1-1-111
χ111-111-1-1i−i-11-1-111−ii
χ121-111-1-1−ii-11-1-111i−i
χ1322−1+52−1−52−1+52−1−5200-2-21−521+521−521+5200
χ1422−1−52−1+52−1−52−1+5200-2-21+521−521+521−5200
χ152-2−1+52−1−521−521+5200-221−521+52−1+52−1−5200
χ162-2−1−52−1+521+521−5200-221+521−52−1−52−1+5200

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