Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#11924535 |
| Sylow | C37 ⋊ C2×C4⋊Q8 |
290 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2368 |
388 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #17995542, #17995546, #17995555, … |
| maximal normal subgroup of | #17995542, #17995546, #17995555, … |
| maximal quotient of | C2×#14557402, C2×#14557429, C2×#14557430, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 1092);