Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | M16×Dic37 |
| Sylow | C37 ⋊ C4×M16 |
142 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1184 |
400 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #17994387, #100×Dic37, #17994391, … |
| maximal normal subgroup of | #17994387, #100×Dic37, #17994391, … |
| maximal quotient of | M16×#64436, #17992877, #17992883, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 500);