Finite Group Databasebeta

#95×D479 #44500238

order30656
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C25

Aliases

direct product#95×D479

Splittings

Fitting#95×C479 ⋊ C2
SylowC479 ⋊ C2×#95

Subgroups

subgroupG/H
center, FrattiniC23C22×D479
commutatorC2×C479C2×C42
Fitting#95×C479C2
socle, cosocleC23×C479C23
prime radicalC23×D479C22
hypercenter#95D479
hypocenterC479C2×#95
LCSG ▷ C2×C479 ▷ C479
UCSC1 ◁ C23 ◁ #95

330 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 15328

Conjugacy classes & character table

4820 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30656, 392);