Finite Group DatabasebetaFinite Group Databasebeta| order | 24964 |
| automorphism | ? |
| homology | Abelianization (H1) = C4 · Schur multiplier (H2) = C79 |
No aliases for this group.
| Fitting, socle, derived, Sylow | C792 ⋊ C4 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini, hypercenter | C1 | G |
| commutator, Fitting, socle, hypocenter | C792 | C4 |
| prime radical, cosocle | C79⋊D79 | C2 |
| LCS | G ▷ C792 | |
| UCS | C1 | |
86 conjugacy classes of subgroups.
| transitive degree | μt(G) = 158 |
Polycyclic presentation:
2^2,79^2|a^2=b,c^a=c^73d^12,d^a=c^43d^6,c^b=c^78,d^b=d^781564 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(24964, 9);