Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23 |
| direct product | C2×#11924447 |
| Sylow | C37 ⋊ C2×#97 |
146 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2368 |
616 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #17992426, #17992440, #17992477, … |
| maximal normal subgroup of | #17992426, #17992440, #17992477, … |
| maximal quotient of | C2×#14557255, #17992883, #17992888, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 498);