Finite Group Databasebeta

#121×C463 #28414540

order14816
nilpotency class2
isoclinismisoclinic class of #120
automorphism?
homologyAbelianization (H1) = C23×C463 · Schur multiplier (H2) = C23

Aliases

direct product#121×C463

Subgroups

subgroupG/H
center, socleC22×C463C23
commutator, Frattini, cosocleC22C23×C463
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C22×C463 ◁ G

94 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 7408

Conjugacy classes & character table

6482 conjugacy classes. The character table is too large to display.

Relationships

Fitting subgroup of#44444527, #44444926, #44444931, …
maximal subgroup of#327×C463, #447×C463, #448×C463, …
maximal normal subgroup of#327×C463, #447×C463, #448×C463, …
maximal quotient of#380×C463, #386×C463, #388×C463, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14816, 28);