Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | C2×#11924475 |
| Fitting | C2×C16×C37 ⋊ C2 |
| Sylow | C37 ⋊ C2×M32 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1184 |
616 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #17992735, C4×#11924475, #17996189, … |
| maximal normal subgroup of | #17992735, C4×#11924475, #17996189, … |
| maximal quotient of | C2×#14557308, C4×#11924475, C2×#14557312, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 963);