Finite Group Databasebeta

C4×#11718554 #15861023

order3328
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4

Aliases

direct productC4×#11718554

Splittings

FittingC4×C13×#108 ⋊ C2
SylowC13 ⋊ C4×#430

Subgroups

subgroupG/H
centerC42D4×D13
commutatorC4×C13C22×C42
FrattiniC22×C4C23×D13
FittingC4×C13×#108C2
socleC22×C13C22×C4⋊C4
prime radicalC23×D13C2×Q8
cosocleC22×C4×C13C24
hypercenterC4×#108D13
hypocenterC13C4×#430
LCSG ▷ C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C42 ◁ C2×C42 ◁ C4×#108

1034 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 167672);