Finite Group Databasebeta

C4×#11718274 #16785243

order3328
automorphism?
homologyAbelianization (H1) = C43 · Schur multiplier (H2) = C22×C42

Aliases

direct productC4×#11718274

Splittings

FittingC4×C13×M16 ⋊ C4
SylowC13 ⋊ C4×#344

Subgroups

subgroupG/H
centerC2×C4(C2×#261)⋊C4
commutatorC22×C13C43
FrattiniC22×C4C22×#261
FittingC4×C13×M16C4
socleC22×C13C2×#95
prime radicalC23×D13C22×C4
cosocleC22×C4×D13C23
hypercenterC4×M16#261
hypocenterC13C4×#344
LCSG ▷ C22×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ C4×M16

906 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

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, 1091892);