Finite Group Databasebeta

#466×D109 #28372596

order13952
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C26

Aliases

direct product#466×D109

Splittings

Fitting#466×C109 ⋊ C2
SylowC109 ⋊ C2×#466

Subgroups

subgroupG/H
centerC22C2×D4×D109
commutator, cosocleC2×C4×C109C24
FrattiniC2×C4C23×D109
Fitting#466×C109C2
socleC22×C109C22×D4
hypercenter#466D109
hypocenterC109C2×#466
LCSG ▷ C2×C4×C109 ▷ C2×C109 ▷ C109
UCSC1 ◁ C22 ◁ C22×C4 ◁ #466

616 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3488

Conjugacy classes & character table

1232 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13952, 14074);