Finite Group Databasebeta

#95×D311 #34091537

order19904
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C25

Aliases

direct product#95×D311

Splittings

Fitting#95×C311 ⋊ C2
SylowC311 ⋊ C2×#95

Subgroups

subgroupG/H
center, FrattiniC23C22×D311
commutatorC2×C311C2×C42
Fitting#95×C311C2
socle, cosocleC23×C311C23
prime radicalC23×D311C22
hypercenter#95D311
hypocenterC311C2×#95
LCSG ▷ C2×C311 ▷ C311
UCSC1 ◁ C23 ◁ #95

330 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 9952

Conjugacy classes & character table

3140 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19904, 392);