Finite Group Databasebeta

M16×#11745400 #28417395

order14912
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4

Aliases

direct productM16×#11745400

Splittings

FittingM16×C233 ⋊ C4
SylowC233 ⋊ C4×M16

Subgroups

subgroupG/H
center, FrattiniC4C22×#11745400
commutator, socleC2×C233C2×C42
FittingM16×C233C4
prime radicalC22×D233C2×C4
cosocleC4×D233C23
hypercenterM16#11745400
hypocenterC233C4×M16
LCSG ▷ C2×C233 ▷ C233
UCSC1 ◁ C4 ◁ M16

142 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1864

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14912, 1509);