Finite Group Databasebeta

#97×D467 #44469984

order29888
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C23

Aliases

direct product#97×D467

Splittings

Fitting#97×C467 ⋊ C2
SylowC467 ⋊ C2×#97

Subgroups

subgroupG/H
center, FrattiniC2×C4C22×D467
commutatorC2×C467C2×C42
Fitting#97×C467C2
socleC22×C467C22×C4
prime radicalC22×D467C2×C4
cosocleC2×C4×C467C23
hypercenter#97D467
hypocenterC467C2×#97
LCSG ▷ C2×C467 ▷ C467
UCSC1 ◁ C2×C4 ◁ #97

146 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 14944

Conjugacy classes & character table

4700 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29888, 496);