Finite Group Databasebeta

C2×D13×C22⋊C16 #16015582

order3328
automorphism?
homologyAbelianization (H1) = C23×C16 · Schur multiplier (H2) = C27

Aliases

direct productC2×D13×C22⋊C16

Splittings

FittingC2×C13×C22⋊C16 ⋊ C2
SylowC13 ⋊ C22×C22⋊C16

Subgroups

subgroupG/H
centerC22×C8C22×D13
commutatorC2×C13C23×C16
FrattiniC2×C8C23×D13
FittingC2×C13×C22⋊C16C2
socleC23×C13C22×C8
prime radicalC24×D13C8
cosocleC2×C8×C13C24
hypercenterC2×C22⋊C16D13
hypocenterC13C22×C22⋊C16
LCSG ▷ C2×C13 ▷ C13
UCSC1 ◁ C22×C8 ◁ C2×C22⋊C16

1470 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 322231);