Finite Group Databasebeta

C22⋊C4×D937 #44472200

order29984
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C24

Aliases

direct productC22⋊C4×D937

Splittings

FittingC22⋊C4×C937 ⋊ C2
SylowC937 ⋊ C2×C22⋊C4

Subgroups

subgroupG/H
center, FrattiniC22C22×D937
commutatorC2×C937C22×C4
FittingC22⋊C4×C937C2
socle, cosocleC22×C937C23
prime radicalC23×D937C2
hypercenterC22⋊C4D937
hypocenterC937C2×C22⋊C4
LCSG ▷ C2×C937 ▷ C937
UCSC1 ◁ C22 ◁ C22⋊C4

132 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 7496

Conjugacy classes & character table

4700 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29984, 96);