Finite Group Databasebeta

C4×#11719625 #16808024

order3328
automorphism?
homologyAbelianization (H1) = C23×C42 · Schur multiplier (H2) = C28×C4

Aliases

direct productC4×#11719625

Splittings

SylowC13 ⋊ C4×#568

Subgroups

subgroupG/H
centerC2×C4C23×#261
commutatorC2×C13C23×C42
FrattiniC22C24×#261
FittingC2×C4×Q8×C13C4
socleC22×C13C24×C4
prime radicalC22×#6131C22
cosocleC2×Dic13C25
hypercenterC2×C4×Q8#261
hypocenterC13C4×#568
LCSG ▷ C2×C13 ▷ C13
UCSC1 ◁ C2×C4 ◁ C2×C4×Q8

3250 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

256 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1114673);