Finite Group Databasebeta

#95×D68 #16955795

order4352
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C28

Aliases

direct product#95×D68

Splittings

FittingC4×C17×#95 ⋊ C2
SylowC17 ⋊ D4×#95

Subgroups

subgroupG/H
center, FrattiniC24C23×D17
commutatorC22×C17C22×C42
FittingC4×C17×#95C2
socle, cosocleC24×C17C24
prime radicalC23×D68C22
hypercenterC4×#95D17
hypocenterC17D4×#95
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C24 ◁ C4×#95

3562 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 2176

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4352, 91039);