Finite Group Databasebeta

#41×D13⋊C8 #16808453

order3328
automorphism?
homologyAbelianization (H1) = C24×C8 · Schur multiplier (H2) = C29

Aliases

direct product#41×D13⋊C8
unambiguous semidirect productD13⋊(C8×#41)

Splittings

SylowC13 ⋊ C2×C8×#41

Subgroups

subgroupG/H
centerC42C22×#261
commutatorC2×C13C24×C8
FrattiniC22C24×#261
FittingC4×C13×#41C4
socleC22×C13C24×C4
prime radicalC2×#41×D13C4
cosocleC2×Dic13C25
hypercenterC4×#41#261
hypocenterC13C2×C8×#41
LCSG ▷ C2×C13 ▷ C13
UCSC1 ◁ C42 ◁ C4×#41

2566 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1115102);