Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#11924566 |
| Sylow | C37 ⋊ C2×#137 |
258 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 258 conjugacy classes of subgroups — too many to draw. Only its 111 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 1184 |
382 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #17994963, #17994965, #17995067, … |
| maximal normal subgroup of | #17994963, #17994965, #17995067, … |
| maximal quotient of | C2×#14557541, C2×#14557534, C2×#14557576, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 1341);