Finite Group DatabasebetaFinite Group Databasebeta| order | 13924 |
| automorphism | ? |
| homology | Abelianization (H1) = C4 · Schur multiplier (H2) = C59 |
No aliases for this group.
| Fitting, socle, derived, Sylow | C592 ⋊ C4 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini, hypercenter | C1 | G |
| commutator, Fitting, socle, hypocenter | C592 | C4 |
| prime radical, cosocle | C59⋊D59 | C2 |
| LCS | G ▷ C592 | |
| UCS | C1 | |
66 conjugacy classes of subgroups.
| transitive degree | μt(G) = 118 |
Polycyclic presentation:
2^2,59^2|a^2=b,c^a=c^31d^56,d^a=c^6d^28,c^b=c^58,d^b=d^58874 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13924, 9);