Finite Group Databasebeta

C2×D13⋊M64 #16807432

order3328
automorphism?
homologyAbelianization (H1) = C23×C16 · Schur multiplier (H2) = C25

Aliases

direct productC2×D13⋊M64
unambiguous semidirect productD13⋊(C2×M64)

Splittings

SylowC13 ⋊ C22×M64

Subgroups

subgroupG/H
centerC2×C16C2×#261
commutatorC2×C13C23×C16
FrattiniC8C23×#261
FittingC22×C13×C16C4
socleC22×C13C22×C16
prime radicalC23×D13C16
cosocle#6090C24
hypercenterC22×C16#261
hypocenterC13C22×M64
LCSG ▷ C2×C13 ▷ C13
UCSC1 ◁ C2×C16 ◁ C22×C16

502 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1114081);