Finite Group Databasebeta

← Prev (#37587551) Next (#37587553) →

C4×C13×C157⋊C3 #37587552

order24492
isoclinismisoclinic class of C157⋊C3
automorphism?
homologyAbelianization (H1) = C3×C4×C13 · Schur multiplier (H2) = C1

Aliases

direct productC4×C13×C157⋊C3

Splittings

Fitting, HallC4×C13×C157 ⋊ C3
derived, SylowC157 ⋊ C3×C4×C13
HallC13×C157 ⋊ C3×C4
HallC4×C157 ⋊ C3×C13

Subgroups

subgroupG/H
center, hypercenterC4×C13C157⋊C3
commutator, hypocenterC157C3×C4×C13
FrattiniC2C2×C13×C157⋊C3
FittingC4×C13×C157C3
socleC2×C13×C157C2×C3
prime radicalC2×C13×C157⋊C3C2
cosocleC2×C157C2×C3×C13
LCSG ▷ C157
UCSC1 ◁ C4×C13

24 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

2860 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24492, 3);