Finite Group Databasebeta

#95×D491 #44536568

order31424
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C25

Aliases

direct product#95×D491

Splittings

Fitting#95×C491 ⋊ C2
SylowC491 ⋊ C2×#95

Subgroups

subgroupG/H
center, FrattiniC23C22×D491
commutatorC2×C491C2×C42
Fitting#95×C491C2
socle, cosocleC23×C491C23
prime radicalC23×D491C22
hypercenter#95D491
hypocenterC491C2×#95
LCSG ▷ C2×C491 ▷ C491
UCSC1 ◁ C23 ◁ #95

330 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, 392);