Finite Group Databasebeta

C4×D113⋊M16 #28407130

order14464
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4

Aliases

direct productC4×D113⋊M16

Splittings

SylowC113 ⋊ C2×C4×M16

Subgroups

subgroupG/H
centerC42C2×#90673
commutatorC2×C113C22×C42
FrattiniC22C23×#90673
FittingC2×C42×C113C4
socleC22×C113C23×C4
prime radicalC23×D113C2×C4
cosocleC2×Dic113C24
hypercenterC2×C42#90673
hypocenterC113C2×C4×M16
LCSG ▷ C2×C113 ▷ C113
UCSC1 ◁ C42 ◁ C2×C42

656 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3616

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14464, 21066);