Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | C4×#10596934 |
| Sylow | C37 ⋊ C4×M16 |
142 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1184 |
616 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #17992432, #17992433, #17992445, … |
| maximal normal subgroup of | #17992432, #17992433, #17992445, … |
| maximal quotient of | C8×#10596934, #17992885, #17992893, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 502);