Finite Group Databasebeta

#121×Dic31 #16848225

order3968
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C26

Aliases

direct product#121×Dic31

Splittings

SylowC31 ⋊ C4×#121

Subgroups

subgroupG/H
center, FrattiniC23C23×D31
commutatorC22×C31C23×C4
Fitting, prime radicalC2×C31×#121C2
socle, cosocleC23×C31C24
hypercenterC2×#121D31
hypocenterC31C4×#121
LCSG ▷ C22×C31 ▷ C31
UCSC1 ◁ C23 ◁ C2×#121

824 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1984

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 7024);