Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| isoclinism | isoclinic class of #64525 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C23×#64527 |
| Fitting | C23×Q8×C19 ⋊ C2 |
| Sylow | C19 ⋊ C23×SD16 |
1720 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1216 |
416 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #18089340, #18089344, #18089367, … |
| maximal normal subgroup of | #18089340, #18089344, #18089367, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 19228);