Finite Group Databasebeta

#97×D229 #28411428

order14656
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C23

Aliases

direct product#97×D229

Splittings

Fitting#97×C229 ⋊ C2
SylowC229 ⋊ C2×#97

Subgroups

subgroupG/H
center, FrattiniC2×C4C22×D229
commutatorC2×C229C2×C42
Fitting#97×C229C2
socleC22×C229C22×C4
prime radicalC22×D229C2×C4
cosocleC2×C4×C229C23
hypercenter#97D229
hypocenterC229C2×#97
LCSG ▷ C2×C229 ▷ C229
UCSC1 ◁ C2×C4 ◁ #97

146 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, 496);