Finite Group Databasebeta

#95×D383 #37588194

order24512
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C25

Aliases

direct product#95×D383

Splittings

Fitting#95×C383 ⋊ C2
SylowC383 ⋊ C2×#95

Subgroups

subgroupG/H
center, FrattiniC23C22×D383
commutatorC2×C383C2×C42
Fitting#95×C383C2
socle, cosocleC23×C383C23
prime radicalC23×D383C22
hypercenter#95D383
hypocenterC383C2×#95
LCSG ▷ C2×C383 ▷ C383
UCSC1 ◁ C23 ◁ #95

330 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 12256

Conjugacy classes & character table

3860 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24512, 392);