Finite Group Databasebeta

#127×C433 #28357108

order13856
nilpotency class2
isoclinismisoclinic class of #120
automorphism?
homologyAbelianization (H1) = C23×C433 · Schur multiplier (H2) = C22×C4

Aliases

direct product#127×C433

Subgroups

subgroupG/H
center, socleC22×C433C23
commutator, Frattini, cosocleC22C23×C433
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C22×C433 ◁ G

108 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 6928

Conjugacy classes & character table

6062 conjugacy classes. The character table is too large to display.

Relationships

Fitting subgroup of#42121555, #42121604, #42121978, …
maximal subgroup of#331×C433, #353×C433, #453×C433, …
maximal normal subgroup of#331×C433, #353×C433, #453×C433, …
maximal quotient of#384×C433, #390×C433, #392×C433, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13856, 34);