Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#11924501 |
| Sylow | C37 ⋊ C2×C4×Q8 |
298 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2368 |
400 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #17992918, #17992938, #17994391, … |
| maximal normal subgroup of | #17992918, #17992938, #17994391, … |
| maximal quotient of | C2×#14557384, C2×C4⋊C4×Dic37, C4×#11924501, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 1013);