Finite Group Databasebeta

#41×Dic62 #16859291

order3968
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C28

Aliases

direct product#41×Dic62

Splittings

SylowC31 ⋊ Q8×#41

Subgroups

subgroupG/H
centerC2×C4C23×D31
commutator, socle, cosocleC22×C31C25
FrattiniC22C24×D31
FittingC4×#41×C31C2
prime radicalC2×#41×C31C22
hypercenterC4×#41D31
hypocenterC31Q8×#41
LCSG ▷ C22×C31 ▷ C31
UCSC1 ◁ C2×C4 ◁ C4×#41

1068 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1984

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 18090);