Finite Group Databasebeta

#95×D359 #37526286

order22976
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C25

Aliases

direct product#95×D359

Splittings

Fitting#95×C359 ⋊ C2
SylowC359 ⋊ C2×#95

Subgroups

subgroupG/H
center, FrattiniC23C22×D359
commutatorC2×C359C2×C42
Fitting#95×C359C2
socle, cosocleC23×C359C23
prime radicalC23×D359C22
hypercenter#95D359
hypocenterC359C2×#95
LCSG ▷ C2×C359 ▷ C359
UCSC1 ◁ C23 ◁ #95

330 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 11488

Conjugacy classes & character table

3620 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22976, 392);