Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#19099369 |
| Fitting | C22×SD16×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×#577 |
1460 conjugacy classes of subgroups.
1136 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34304177, #34304209, #34304261, … |
| maximal normal subgroup of | #34304177, #34304209, #34304261, … |
| maximal quotient of | C2×#23771921, C2×#23771928, C2×#23771991, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 19265);