Finite Group Databasebeta

C4×#11719159 #16796880

order3328
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C25×C4

Aliases

direct productC4×#11719159

Splittings

SylowC13 ⋊ C4×#408

Subgroups

subgroupG/H
centerC22×C4C22×#261
commutatorC22×C13C22×C42
FrattiniC23C23×#261
FittingC2×C4×Q8×C13C4
socleC23×C13C23×C4
prime radicalC22×#6131C22
cosocleC22×Dic13C24
hypercenterC2×C4×Q8#261
hypocenterC13C4×#408
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C22×C4 ◁ C2×C4×Q8

1662 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1664

Conjugacy classes & character table

232 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1103529);