Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×D592 |
| Fitting | C2×C16×C37 ⋊ C2 |
| Sylow | C37 ⋊ C2×D16 |
98 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1184 |
598 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #17992773, #17992775, #17992785, … |
| maximal normal subgroup of | #17992773, #17992775, #17992785, … |
| maximal quotient of | C2×#14557335, C2×#14557359, C4×D592, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 970);