Finite Group Databasebeta

#127×C463 #28414546

order14816
nilpotency class2
isoclinismisoclinic class of #120
automorphism?
homologyAbelianization (H1) = C23×C463 · Schur multiplier (H2) = C22×C4

Aliases

direct product#127×C463

Subgroups

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

108 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#44444537, #44444586, #44444960, …
maximal subgroup of#331×C463, #353×C463, #453×C463, …
maximal normal subgroup of#331×C463, #353×C463, #453×C463, …
maximal quotient of#384×C463, #390×C463, #392×C463, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14816, 34);