Finite Group Databasebeta

#95×D397 #38762365

order25408
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C25

Aliases

direct product#95×D397

Splittings

Fitting#95×C397 ⋊ C2
SylowC397 ⋊ C2×#95

Subgroups

subgroupG/H
center, FrattiniC23C22×D397
commutatorC2×C397C2×C42
Fitting#95×C397C2
socle, cosocleC23×C397C23
prime radicalC23×D397C22
hypercenter#95D397
hypocenterC397C2×#95
LCSG ▷ C2×C397 ▷ C397
UCSC1 ◁ C23 ◁ #95

330 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 12704

Conjugacy classes & character table

4000 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(25408, 392);