Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#10596966 |
| Fitting | C4×Q8×C37 ⋊ C2 |
| Sylow | C37 ⋊ C4×#41 |
310 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1184 |
400 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #17992977, #17992982, #17993029, … |
| maximal normal subgroup of | #17992977, #17992982, #17993029, … |
| maximal quotient of | C4×#11924494, C4×#11924498, C4×Q8×Dic37, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 1019);