Finite Group Databasebeta

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C2×C103×C13⋊C9 #37562917

order24102
automorphism?
homologyAbelianization (H1) = C2×C9×C103 · Schur multiplier (H2) = C1

Aliases

direct productC2×C103×C13⋊C9
unambiguous semidirect product(C2×C13)⋊(C9×C103)

Splittings

derived, SylowC13 ⋊ C2×C9×C103
HallC2×C13×C103 ⋊ C9
HallC13×C103 ⋊ C2×C9
HallC2×C13 ⋊ C9×C103

Subgroups

subgroupG/H
center, hypercenterC2×C3×C103C13⋊C3
commutator, hypocenterC13C2×C9×C103
FrattiniC3C2×C13⋊C3×C103
Fitting, socle, prime radicalC2×C3×C13×C103C3
cosocleC3×C13C2×C3×C103
LCSG ▷ C13
UCSC1 ◁ C2×C3×C103

24 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 24102

Conjugacy classes & character table

4326 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24102, 3);