Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#11924479 |
| Fitting | C2×Q16×C37 ⋊ C2 |
| Sylow | C37 ⋊ C2×SD32 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1184 |
274 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #17996445, C4×#11924479, #17996458, … |
| maximal normal subgroup of | #17996445, C4×#11924479, #17996458, … |
| maximal quotient of | C2×#14557333, C2×#14557337, C2×#14557360, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 972);