Finite Group Databasebeta

#95×#3624 #17956588

order4352
automorphism?
homologyAbelianization (H1) = C42×C8 · Schur multiplier (H2) = C23×C42

Aliases

direct product#95×#3624

Splittings

SylowC17 ⋊ C8×#95

Subgroups

subgroupG/H
center, FrattiniC24C22×#595
commutatorC2×C17C42×C8
FittingC2×C17×#95C4
socle, prime radicalC24×C17C22×C4
cosocleC23×Dic17C23
hypercenterC2×#95#595
hypocenterC17C8×#95
LCSG ▷ C2×C17 ▷ C17
UCSC1 ◁ C24 ◁ C2×#95

1174 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 4352

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4352, 1091832);