Finite Group Databasebeta

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C11×C49×D29 #44530487

order31262
automorphism?
homologyAbelianization (H1) = C2×C11×C49 · Schur multiplier (H2) = C1

Aliases

direct productC11×C49×D29

Splittings

Fitting, HallC11×C29×C49 ⋊ C2
derived, SylowC29 ⋊ C2×C11×C49
HallC29×C49 ⋊ C2×C11
HallC11×C29 ⋊ C2×C49

Subgroups

subgroupG/H
center, hypercenterC11×C49D29
commutator, hypocenterC29C2×C11×C49
FrattiniC7C7×C11×D29
FittingC11×C29×C49C2
socleC7×C11×C29C2×C7
prime radicalC7×C11×D29C7
cosocleC7×C29C2×C7×C11
LCSG ▷ C29
UCSC1 ◁ C11×C49

24 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 15631

Conjugacy classes & character table

8624 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31262, 3);