Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#11924468 |
| Sylow | C37 ⋊ C2×#106 |
130 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2368 |
604 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #17992695, #17992696, #17992701, … |
| maximal normal subgroup of | #17992695, #17992696, #17992701, … |
| maximal quotient of | C2×#14557284, #17993352, #17993367, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 580);