Finite Group Databasebeta

#95×D443 #43247560

order28352
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C25

Aliases

direct product#95×D443

Splittings

Fitting#95×C443 ⋊ C2
SylowC443 ⋊ C2×#95

Subgroups

subgroupG/H
center, FrattiniC23C22×D443
commutatorC2×C443C2×C42
Fitting#95×C443C2
socle, cosocleC23×C443C23
prime radicalC23×D443C22
hypercenter#95D443
hypocenterC443C2×#95
LCSG ▷ C2×C443 ▷ C443
UCSC1 ◁ C23 ◁ #95

330 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 14176

Conjugacy classes & character table

4460 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(28352, 392);