Finite Group DatabasebetaFinite Group Databasebeta| order | 12100 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C52 · Schur multiplier (H2) = C5 |
| direct product | C5×#14559056 |
| derived, Sylow | C112 ⋊ C4×C52 |
| Hall | C5×#10597244 ⋊ C4 |
| Hall | C11×Dic11 ⋊ C52 |
100 conjugacy classes of subgroups.
250 conjugacy classes — view the full character table.
| maximal subgroup of | C3×C5×#14559056, C5×C3⋊#14559056 |
| maximal normal subgroup of | C3×C5×#14559056 |
| maximal quotient of | C3×C5×#14559056, C5×C3⋊#14559056 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12100, 123);