Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×Q8×D37 |
| Fitting | C4×Q8×C37 ⋊ C2 |
| Sylow | C37 ⋊ C2×C4×Q8 |
298 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1184 |
400 conjugacy classes. The character table is too large to display.
| maximal subgroup of | Q8⋊C8×D37, #17992989, #17993023, … |
| maximal normal subgroup of | Q8⋊C8×D37, #17992989, #17993023, … |
| maximal quotient of | C4×C4⋊C4×D37, C4×#11924501, C4×Q8×Dic37, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 1012);