Finite Group Databasebeta

C19×C25×D31 #44441285

order29450
automorphism?
homologyAbelianization (H1) = C2×C19×C25 · Schur multiplier (H2) = C1

Aliases

direct productC19×C25×D31

Splittings

Fitting, HallC19×C25×C31 ⋊ C2
derived, SylowC31 ⋊ C2×C19×C25
HallC25×C31 ⋊ C2×C19
HallC19×C31 ⋊ C2×C25

Subgroups

subgroupG/H
center, hypercenterC19×C25D31
commutator, hypocenterC31C2×C19×C25
FrattiniC5C5×C19×D31
FittingC19×C25×C31C2
socleC5×C19×C31C2×C5
prime radicalC5×C19×D31C5
cosocleC5×C31C2×C5×C19
LCSG ▷ C31
UCSC1 ◁ C19×C25

24 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 14725

Conjugacy classes & character table

8075 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29450, 3);