Finite Group Databasebeta

C4×#11719169 #16796886

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

Aliases

direct productC4×#11719169

Splittings

SylowC13 ⋊ C4×#407

Subgroups

subgroupG/H
centerC22×C4C22×#261
commutatorC22×C13C22×C42
FrattiniC23C23×#261
FittingC24×C4×C13C4
socleC23×C13C23×C4
prime radicalC25×C13C2×C4
cosocleC22×Dic13C24
hypercenterC24×C4#261
hypocenterC13C4×#407
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C22×C4 ◁ C24×C4

2246 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

304 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1103535);