Finite Group Databasebeta

C4×D109⋊M16 #28379588

order13952
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4

Aliases

direct productC4×D109⋊M16

Splittings

SylowC109 ⋊ C2×C4×M16

Subgroups

subgroupG/H
centerC42C2×#89137
commutatorC2×C109C22×C42
FrattiniC22C23×#89137
FittingC2×C42×C109C4
socleC22×C109C23×C4
prime radicalC23×D109C2×C4
cosocleC2×Dic109C24
hypercenterC2×C42#89137
hypocenterC109C2×C4×M16
LCSG ▷ C2×C109 ▷ C109
UCSC1 ◁ C42 ◁ C2×C42

656 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3488

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13952, 21066);