Finite Group Databasebeta

C9×C13×D107 #38736685

order25038
automorphism?
homologyAbelianization (H1) = C2×C9×C13 · Schur multiplier (H2) = C1

Aliases

direct productC9×C13×D107
unambiguous semidirect productC107⋊(C2×C9×C13)

Splittings

Fitting, HallC9×C13×C107 ⋊ C2
derived, SylowC107 ⋊ C2×C9×C13
HallC13×C107 ⋊ C2×C9
HallC9×C107 ⋊ C2×C13

Subgroups

subgroupG/H
center, hypercenterC9×C13D107
commutator, hypocenterC107C2×C9×C13
FrattiniC3C3×C13×D107
FittingC9×C13×C107C2
socleC3×C13×C107C2×C3
prime radicalC3×C13×D107C3
cosocleC3×C107C2×C3×C13
LCSG ▷ C107
UCSC1 ◁ C9×C13

24 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 12519

Conjugacy classes & character table

6435 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(25038, 3);