Finite Group Databasebeta

C9×D13×C107 #38736686

order25038
automorphism?
homologyAbelianization (H1) = C2×C9×C107 · Schur multiplier (H2) = C1

Aliases

direct productC9×D13×C107

Splittings

Fitting, HallC9×C13×C107 ⋊ C2
derived, SylowC13 ⋊ C2×C9×C107
HallC13×C107 ⋊ C2×C9
HallC9×C13 ⋊ C2×C107

Subgroups

subgroupG/H
center, hypercenterC9×C107D13
commutator, hypocenterC13C2×C9×C107
FrattiniC3C3×D13×C107
FittingC9×C13×C107C2
socleC3×C13×C107C2×C3
prime radicalC3×D13×C107C3
cosocleC3×C13C2×C3×C107
LCSG ▷ C13
UCSC1 ◁ C9×C107

24 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 12519

Conjugacy classes & character table

7704 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(25038, 4);