Finite Group Databasebeta

SD16×C47⋊C16 #26128045

order12032
automorphism?
homologyAbelianization (H1) = C22×C16 · Schur multiplier (H2) = C22

Aliases

direct productSD16×C47⋊C16

Splittings

SylowC47 ⋊ C16×SD16

Subgroups

subgroupG/H
centerC2×C8D4×D47
commutatorC4×C47C22×C16
FrattiniC4×C8C22×D47
FittingC8×SD16×C47C2
socleC22×C47C8×D4
prime radicalC2×D4×C47C2×C8
cosocleC4×C8×C47C23
hypercenterC8×SD16D47
hypocenterC47C16×SD16
LCSG ▷ C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C2×C8 ◁ C4×C8 ◁ C8×SD16

238 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1400 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 81335);