Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
| direct product | C2×#11924526 |
| Sylow | C37 ⋊ C2×#125 |
226 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 226 conjugacy classes of subgroups — too many to draw. Only its 119 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 2368 |
388 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #17992950, C4×#11924526, #17997153, … |
| maximal normal subgroup of | #17992950, C4×#11924526, #17997153, … |
| maximal quotient of | C2×#14557397, C2×#14557414, C2×#14557415, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 1069);