Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C23×#11929614 |
| Sylow | C79 ⋊ C23×Q16 |
1464 conjugacy classes of subgroups.
1616 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34195077, #34195078, #34195104, … |
| maximal normal subgroup of | #34195077, #34195078, #34195104, … |
| maximal quotient of | C23×#14579084, C23×#14579085, C23×#14579094, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 19232);