Finite Group Databasebeta

← Prev (#38736683) Next (#38736685) →

C2×C107×C13⋊C9 #38736684

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

Aliases

direct productC2×C107×C13⋊C9
unambiguous semidirect product(C2×C13)⋊(C9×C107)
unambiguous semidirect product(C2×C13×C107)⋊C9

Splittings

derived, SylowC13 ⋊ C2×C9×C107
HallC2×C13×C107 ⋊ C9
HallC13×C107 ⋊ C2×C9
HallC2×C13 ⋊ C9×C107

Subgroups

subgroupG/H
center, hypercenterC2×C3×C107C13⋊C3
commutator, hypocenterC13C2×C9×C107
FrattiniC3C2×C13⋊C3×C107
Fitting, socle, prime radicalC2×C3×C13×C107C3
cosocleC3×C13C2×C3×C107
LCSG ▷ C13
UCSC1 ◁ C2×C3×C107

24 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 25038

Conjugacy classes & character table

4494 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(25038, 2);