Finite Group Databasebeta

#127×C467 #28417841

order14944
nilpotency class2
isoclinismisoclinic class of #120
automorphism?
homologyAbelianization (H1) = C23×C467 · Schur multiplier (H2) = C22×C4

Aliases

direct product#127×C467

Subgroups

subgroupG/H
center, socleC22×C467C23
commutator, Frattini, cosocleC22C23×C467
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C22×C467 ◁ G

108 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 7472

Conjugacy classes & character table

6538 conjugacy classes. The character table is too large to display.

Relationships

Fitting subgroup of#44469781, #44469830, #44470204, …
maximal subgroup of#331×C467, #353×C467, #453×C467, …
maximal normal subgroup of#331×C467, #353×C467, #453×C467, …
maximal quotient of#384×C467, #390×C467, #392×C467, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14944, 34);