Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#11924557 |
| Fitting | C2×SD16×C37 ⋊ C2 |
| Sylow | C37 ⋊ C2×#135 |
266 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 266 conjugacy classes of subgroups — too many to draw. Only its 103 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 1184 |
280 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#11924557, #18003391, #18003468, … |
| maximal normal subgroup of | C4×#11924557, #18003391, #18003468, … |
| maximal quotient of | C2×#14557526, C2×#14557528, C2×#14557568, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 1330);