Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C23×#11929613 |
| Fitting | C23×C8×C79 ⋊ C2 |
| Sylow | C79 ⋊ C23×SD16 |
1720 conjugacy classes of subgroups.
2552 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34195072, #34195076, #34195099, … |
| maximal normal subgroup of | #34195072, #34195076, #34195099, … |
| maximal quotient of | C23×#14579083, C23×#14579086, C23×#14579093, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 19230);