Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#11924517 |
| Sylow | C37 ⋊ C2×#123 |
342 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 342 conjugacy classes of subgroups — too many to draw. Only its 127 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 1184 |
388 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #17995007, #17995009, #17995051, … |
| maximal normal subgroup of | #17995007, #17995009, #17995051, … |
| maximal quotient of | C2×#14557394, C2×#14557405, C2×#14557413, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 1050);