Finite Group Databasebeta

#121×C487 #29510097

order15584
nilpotency class2
isoclinismisoclinic class of #120
automorphism?
homologyAbelianization (H1) = C23×C487 · Schur multiplier (H2) = C23

Aliases

direct product#121×C487

Subgroups

subgroupG/H
center, socleC22×C487C23
commutator, Frattini, cosocleC22C23×C487
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C22×C487 ◁ G

94 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 7792

Conjugacy classes & character table

6818 conjugacy classes. The character table is too large to display.

Relationships

Fitting subgroup of#44528784, #44529183, #44529188, …
maximal subgroup of#327×C487, #447×C487, #448×C487, …
maximal normal subgroup of#327×C487, #447×C487, #448×C487, …
maximal quotient of#380×C487, #386×C487, #388×C487, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15584, 28);