Finite Group Databasebeta

C4×#11763690 #17956645

order4352
automorphism?
homologyAbelianization (H1) = C43 · Schur multiplier (H2) = C22×C42

Aliases

direct productC4×#11763690

Splittings

SylowC17 ⋊ C4×#344

Subgroups

subgroupG/H
centerC2×C4(C2×#595)⋊C4
commutatorC22×C17C43
FrattiniC24C22×#595
FittingC4×C22⋊C4×C17C4
socleC22×C17C2×#95
prime radicalC24×C17C22×C4
cosocleC23×Dic17C23
hypercenterC4×C22⋊C4#595
hypocenterC17C4×#344
LCSG ▷ C22×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ C4×C22⋊C4

906 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1088

Conjugacy classes & character table

248 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4352, 1091889);