Finite Group Databasebeta

#97×D463 #44444740

order29632
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C23

Aliases

direct product#97×D463

Splittings

Fitting#97×C463 ⋊ C2
SylowC463 ⋊ C2×#97

Subgroups

subgroupG/H
center, FrattiniC2×C4C22×D463
commutatorC2×C463C2×C42
Fitting#97×C463C2
socleC22×C463C22×C4
prime radicalC22×D463C2×C4
cosocleC2×C4×C463C23
hypercenter#97D463
hypocenterC463C2×#97
LCSG ▷ C2×C463 ▷ C463
UCSC1 ◁ C2×C4 ◁ #97

146 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 14816

Conjugacy classes & character table

4660 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29632, 496);