Finite Group Databasebeta

C4×D13×#101 #15860588

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

Aliases

direct productC4×D13×#101

Splittings

FittingC4×C13×#101 ⋊ C2
SylowC13 ⋊ C2×C4×#101

Subgroups

subgroupG/H
centerC2×C4C22⋊C4×D13
commutatorC22×C13C22×C42
FrattiniC22×C4C23×D13
FittingC4×C13×#101C2
socleC22×C13C22×C22⋊C4
prime radicalC23×D13C22×C4
cosocleC22×C4×C13C24
hypercenterC4×#101D13
hypocenterC13C2×C4×#101
LCSG ▷ C22×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ C4×#101

1538 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 167237);