Finite Group Databasebeta

C11×#4313 #14515470

order1936
isoclinismisoclinic class of Dic22
automorphism?
homologyAbelianization (H1) = C2×C4×C11 · Schur multiplier (H2) = C1

Aliases

direct productC11×#4313

Splittings

FittingC8×C112 ⋊ C2
SylowC112 ⋊ M16

Subgroups

subgroupG/H
centerC4×C11C2×D11
commutatorC2×C11C2×C4×C11
FrattiniC4C2×C11×D11
FittingC8×C112C2
socleC2×C112C2×C4
prime radicalC2×C11×D11C4
cosocleC4×C11C22×C11
hypercenterC8×C11D11
hypocenterC11C11×M16
LCSG ▷ C2×C11 ▷ C11
UCSC1 ◁ C4×C11 ◁ C8×C11

60 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 176

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1936, 64);