Finite Group Databasebeta

#95×D229 #28411324

order14656
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C25

Aliases

direct product#95×D229

Splittings

Fitting#95×C229 ⋊ C2
SylowC229 ⋊ C2×#95

Subgroups

subgroupG/H
center, FrattiniC23C22×D229
commutatorC2×C229C2×C42
Fitting#95×C229C2
socle, cosocleC23×C229C23
prime radicalC23×D229C22
hypercenter#95D229
hypocenterC229C2×#95
LCSG ▷ C2×C229 ▷ C229
UCSC1 ◁ C23 ◁ #95

330 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 7328

Conjugacy classes & character table

2320 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14656, 392);