Finite Group Databasebeta

#97×D491 #44536672

order31424
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C23

Aliases

direct product#97×D491

Splittings

Fitting#97×C491 ⋊ C2
SylowC491 ⋊ C2×#97

Subgroups

subgroupG/H
center, FrattiniC2×C4C22×D491
commutatorC2×C491C2×C42
Fitting#97×C491C2
socleC22×C491C22×C4
prime radicalC22×D491C2×C4
cosocleC2×C4×C491C23
hypercenter#97D491
hypocenterC491C2×#97
LCSG ▷ C2×C491 ▷ C491
UCSC1 ◁ C2×C4 ◁ #97

146 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 15712

Conjugacy classes & character table

4940 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31424, 496);