Finite Group Databasebeta

#41×Dic226 #28404154

order14464
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C28

Aliases

direct product#41×Dic226

Splittings

SylowC113 ⋊ Q8×#41

Subgroups

subgroupG/H
centerC2×C4C23×D113
commutator, socle, cosocleC22×C113C25
FrattiniC22C24×D113
FittingC4×#41×C113C2
prime radicalC2×#41×C113C22
hypercenterC4×#41D113
hypocenterC113Q8×#41
LCSG ▷ C22×C113 ▷ C113
UCSC1 ◁ C2×C4 ◁ C4×#41

1068 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 7232

Conjugacy classes & character table

2290 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14464, 18090);