Finite Group Databasebeta

#41×#14556313 #49149015

order36928
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25

Aliases

direct product#41×#14556313

Splittings

Fitting#41×C577 ⋊ C4
SylowC577 ⋊ C4×#41

Subgroups

subgroupG/H
centerC4C22×#14556313
commutator, socleC2×C577C23×C4
FrattiniC2C23×#14556313
Fitting#41×C577C4
prime radical#41×D577C2
cosocleC2×D577C24
hypercenter#41#14556313
hypocenterC577C4×#41
LCSG ▷ C2×C577 ▷ C577
UCSC1 ◁ C4 ◁ #41

310 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 4616

Conjugacy classes & character table

1480 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(36928, 1615);