Finite Group Databasebeta

M16×D13⋊C8 #16792568

order3328
automorphism?
homologyAbelianization (H1) = C22×C4×C8 · Schur multiplier (H2) = C24×C4

Aliases

direct productM16×D13⋊C8

Splittings

SylowC13 ⋊ C2×C8×M16

Subgroups

subgroupG/H
centerC42C22×#261
commutatorC2×C13C22×C4×C8
FrattiniC2×C4C23×#261
FittingC4×C13×M16C4
socleC22×C13C22×C42
prime radicalC23×D13C42
cosocleC4×Dic13C24
hypercenterC4×M16#261
hypocenterC13C2×C8×M16
LCSG ▷ C2×C13 ▷ C13
UCSC1 ◁ C42 ◁ C4×M16

1046 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1099217);