Finite Group Databasebeta

C4×#11763745 #17962911

order4352
automorphism?
homologyAbelianization (H1) = C2×C43 · Schur multiplier (H2) = C22×C44

Aliases

direct productC4×#11763745

Splittings

FittingC43×C17 ⋊ C4
SylowC17 ⋊ C4×#376

Subgroups

subgroupG/H
centerC2×C42C2×#595
commutatorC2×C17C2×C43
FrattiniC23C23×#595
FittingC43×C17C4
socleC23×C17C23×C4
prime radical, cosocleC23×D17C24
hypercenterC43#595
hypocenterC17C4×#376
LCSG ▷ C2×C17 ▷ C17
UCSC1 ◁ C2×C42 ◁ C43

2302 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1088

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4352, 1098155);