Finite Group Databasebeta

← Prev (#16785231) Next (#16785233) →

C4×#11718238 #16785232

order3328
automorphism?
homologyAbelianization (H1) = C43 · Schur multiplier (H2) = C23×C42

Aliases

direct productC4×#11718238

Splittings

FittingC4×C13×C22⋊C4 ⋊ C4
SylowC13 ⋊ C4×#342

Subgroups

subgroupG/H
centerC2×C4(C2×#261)⋊C4
commutatorC22×C13C43
FrattiniC24C22×#261
FittingC4×C13×C22⋊C4C4
socleC22×C13C2×#95
prime radical, cosocleC24×D13C23
hypercenterC4×C22⋊C4#261
hypocenterC13C4×#342
LCSG ▷ C22×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ C4×C22⋊C4

1482 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, 1091881);