Finite Group Databasebeta

#95×D367 #37554029

order23488
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C25

Aliases

direct product#95×D367

Splittings

Fitting#95×C367 ⋊ C2
SylowC367 ⋊ C2×#95

Subgroups

subgroupG/H
center, FrattiniC23C22×D367
commutatorC2×C367C2×C42
Fitting#95×C367C2
socle, cosocleC23×C367C23
prime radicalC23×D367C22
hypercenter#95D367
hypocenterC367C2×#95
LCSG ▷ C2×C367 ▷ C367
UCSC1 ◁ C23 ◁ #95

330 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 11744

Conjugacy classes & character table

3700 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23488, 392);