Finite Group Databasebeta

#424×D113 #28399130

order14464
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25

Aliases

direct product#424×D113

Splittings

Fitting#424×C113 ⋊ C2
SylowC113 ⋊ C2×#424

Subgroups

subgroupG/H
center, FrattiniC2×C4C23×D113
commutator, socleC22×C113C23×C4
Fitting#424×C113C2
prime radicalC23×D113C2×C4
cosocleC2×C4×C113C24
hypercenter#424D113
hypocenterC113C2×#424
LCSG ▷ C22×C113 ▷ C113
UCSC1 ◁ C2×C4 ◁ #424

512 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3616

Conjugacy classes & character table

1624 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14464, 13066);