Finite Group Databasebeta

C22×C4×D13⋊C8 #16807995

order3328
isoclinismisoclinic class of #261
automorphism?
homologyAbelianization (H1) = C23×C4×C8 · Schur multiplier (H2) = C29×C4

Aliases

direct productC22×C4×D13⋊C8

Splittings

derived, SylowC13 ⋊ C23×C4×C8

Subgroups

subgroupG/H
center, hypercenterC22×C42#261
commutator, hypocenterC13C23×C4×C8
FrattiniC22C24×#261
FittingC22×C42×C13C4
socleC24×C13C22×C4
prime radicalC24×D13C2×C4
cosocleC2×Dic13C25
LCSG ▷ C13
UCSC1 ◁ C22×C42

4638 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1664

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1114644);