Finite Group Databasebeta

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C11×C29×#1035 #44541989

order31900
automorphism?
homologyAbelianization (H1) = C4×C11×C29 · Schur multiplier (H2) = C1

Aliases

direct productC11×C29×#1035

Splittings

Fitting, HallC11×C25×C29 ⋊ C4
derived, SylowC25 ⋊ C4×C11×C29
HallC25×C29 ⋊ C4×C11
HallC11×C25 ⋊ C4×C29

Subgroups

subgroupG/H
center, hypercenterC11×C29#1035
commutator, hypocenterC25C4×C11×C29
FrattiniC5C11×AGL(1,𝔽5)×C29
FittingC11×C25×C29C4
socleC5×C11×C29AGL(1,𝔽5)
prime radicalC11×C29×D25C2
cosocleD25C2×C11×C29
LCSG ▷ C25
UCSC1 ◁ C11×C29

36 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 7975

Conjugacy classes & character table

3190 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31900, 24);