Finite Group Databasebeta

C22×D109⋊C16 #28379992

order13952
automorphism?
homologyAbelianization (H1) = C23×C16 · Schur multiplier (H2) = C26

Aliases

direct productC22×D109⋊C16
unambiguous semidirect productD109⋊(C22×C16)

Splittings

derived, SylowC109 ⋊ C23×C16

Subgroups

subgroupG/H
center, hypercenterC22×C8#89137
commutator, hypocenterC109C23×C16
FrattiniC4C23×#89137
FittingC22×C8×C109C4
socleC23×C109C2×C8
prime radicalC23×D109C8
cosocle#11724784C24
LCSG ▷ C109
UCSC1 ◁ C22×C8

440 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 6976

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13952, 21470);