Finite Group Databasebeta

M16×#11759967 #30657697

order16448
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4

Aliases

direct productM16×#11759967

Splittings

FittingM16×C257 ⋊ C4
SylowC257 ⋊ C4×M16

Subgroups

subgroupG/H
center, FrattiniC4C22×#11759967
commutator, socleC2×C257C2×C42
FittingM16×C257C4
prime radicalC22×D257C2×C4
cosocleC4×D257C23
hypercenterM16#11759967
hypocenterC257C4×M16
LCSG ▷ C2×C257 ▷ C257
UCSC1 ◁ C4 ◁ M16

142 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 2056

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16448, 1509);