Finite Group Databasebeta

#95×D373 #37559265

order23872
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C25

Aliases

direct product#95×D373

Splittings

Fitting#95×C373 ⋊ C2
SylowC373 ⋊ C2×#95

Subgroups

subgroupG/H
center, FrattiniC23C22×D373
commutatorC2×C373C2×C42
Fitting#95×C373C2
socle, cosocleC23×C373C23
prime radicalC23×D373C22
hypercenter#95D373
hypocenterC373C2×#95
LCSG ▷ C2×C373 ▷ C373
UCSC1 ◁ C23 ◁ #95

330 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 11936

Conjugacy classes & character table

3760 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23872, 392);