Finite Group Databasebeta

C4×#11719098 #16797199

order3328
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4

Aliases

direct productC4×#11719098

Splittings

FittingC4×C13×M16 ⋊ C4
SylowC13 ⋊ C4×#428

Subgroups

subgroupG/H
centerC2×C4C2×C4⋊#261
commutatorC4×C13C22×C42
FrattiniC2×C4C23×#261
FittingC4×C13×M16C4
socleC22×C13C22×C4⋊C4
prime radicalC23×D13C2×D4
cosocleC2×C4×D13C24
hypercenterC4×M16#261
hypocenterC13C4×#428
LCSG ▷ C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ C4×M16

1218 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 416

Conjugacy classes & character table

208 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1103848);