Finite Group Databasebeta

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#125×C467 #28417839

order14944
nilpotency class2
isoclinismisoclinic class of #120
automorphism?
homologyAbelianization (H1) = C23×C467 · Schur multiplier (H2) = C2

Aliases

direct product#125×C467

Subgroups

subgroupG/H
center, socle, prime radicalC22×C467C23
commutator, Frattini, cosocleC22C23×C467
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C22×C467 ◁ G

56 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 14944

Conjugacy classes & character table

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

Relationships

Fitting subgroup of#44469779, #44470334, #44470341, …
maximal subgroup of#330×C467, #478×C467, #479×C467, …
maximal normal subgroup of#330×C467, #478×C467, #479×C467, …
maximal quotient of#382×C467, #387×C467, #389×C467, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14944, 32);