Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23×C4 |
| direct product | C4×C22⋊Dic37 |
| Sylow | C37 ⋊ C4×C22⋊C4 |
258 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1184 |
616 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #17992442, #17992443, #17992448, … |
| maximal normal subgroup of | #17992442, #17992443, #17992448, … |
| maximal quotient of | C4×#11924443, #17992819, #17992823, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 397);