Finite Group Databasebeta

#95×D353 #36377630

order22592
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C25

Aliases

direct product#95×D353

Splittings

Fitting#95×C353 ⋊ C2
SylowC353 ⋊ C2×#95

Subgroups

subgroupG/H
center, FrattiniC23C22×D353
commutatorC2×C353C2×C42
Fitting#95×C353C2
socle, cosocleC23×C353C23
prime radicalC23×D353C22
hypercenter#95D353
hypocenterC353C2×#95
LCSG ▷ C2×C353 ▷ C353
UCSC1 ◁ C23 ◁ #95

330 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 11296

Conjugacy classes & character table

3560 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22592, 392);