Finite Group Databasebeta

#41×#11759967 #30657803

order16448
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25

Aliases

direct product#41×#11759967

Splittings

Fitting#41×C257 ⋊ C4
SylowC257 ⋊ C4×#41

Subgroups

subgroupG/H
centerC4C22×#11759967
commutator, socleC2×C257C23×C4
FrattiniC2C23×#11759967
Fitting#41×C257C4
prime radical#41×D257C2
cosocleC2×D257C24
hypercenter#41#11759967
hypocenterC257C4×#41
LCSG ▷ C2×C257 ▷ C257
UCSC1 ◁ C4 ◁ #41

310 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 2056

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16448, 1615);