Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#11924525 |
| Fitting | C22×Q8×C37 ⋊ C2 |
| Sylow | C37 ⋊ C2×#124 |
330 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1184 |
388 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #17994981, #17994997, #17994999, … |
| maximal normal subgroup of | #17994981, #17994997, #17994999, … |
| maximal quotient of | C2×#14557398, C2×#14557423, C2×#14557434, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 1067);