Finite Group Databasebeta

C2×C8×D13⋊C8 #16792562

order3328
isoclinismisoclinic class of #261
automorphism?
homologyAbelianization (H1) = C22×C82 · Schur multiplier (H2) = C25×C8

Aliases

direct productC2×C8×D13⋊C8
unambiguous semidirect productD13⋊(C2×C82)

Splittings

derived, SylowC13 ⋊ C22×C82

Subgroups

subgroupG/H
center, hypercenterC2×C4×C8#261
commutator, hypocenterC13C22×C82
FrattiniC2×C4C23×#261
FittingC2×C4×C8×C13C4
socleC23×C13C2×C42
prime radicalC23×D13C42
cosocleC4×Dic13C24
LCSG ▷ C13
UCSC1 ◁ C2×C4×C8

1342 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, 1099211);