Finite Group Databasebeta

M16×#13097544 #38763482

order25408
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4

Aliases

direct productM16×#13097544

Splittings

FittingM16×C397 ⋊ C4
SylowC397 ⋊ C4×M16

Subgroups

subgroupG/H
center, FrattiniC4C22×#13097544
commutator, socleC2×C397C2×C42
FittingM16×C397C4
prime radicalC22×D397C2×C4
cosocleC4×D397C23
hypercenterM16#13097544
hypocenterC397C4×M16
LCSG ▷ C2×C397 ▷ C397
UCSC1 ◁ C4 ◁ M16

142 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3176

Conjugacy classes & character table

1030 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(25408, 1509);