Finite Group Databasebeta

C2×C4×D13⋊C16 #16806710

order3328
isoclinismisoclinic class of #261
automorphism?
homologyAbelianization (H1) = C22×C4×C16 · Schur multiplier (H2) = C25×C4

Aliases

direct productC2×C4×D13⋊C16

Splittings

derived, SylowC13 ⋊ C22×C4×C16

Subgroups

subgroupG/H
center, hypercenterC2×C4×C8#261
commutator, hypocenterC13C22×C4×C16
FrattiniC2×C4C23×#261
FittingC2×C4×C8×C13C4
socleC23×C13C22×C8
prime radicalC23×D13C2×C8
cosocleC2×#1055C24
LCSG ▷ C13
UCSC1 ◁ C2×C4×C8

1022 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, 1113359);