Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#11924492 |
| Sylow | C37 ⋊ C2×#117 |
330 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1184 |
400 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #17992907, #17992927, #17994327, … |
| maximal normal subgroup of | #17992907, #17992927, #17994327, … |
| maximal quotient of | C2×#14557378, C2×C22⋊C4×Dic37, C2×#14557384, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 1002);