Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#19099374 |
| Fitting | C2×H(5,𝔽2)×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×#577 |
1460 conjugacy classes of subgroups.
1370 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34304179, #34304185, #34304206, … |
| maximal normal subgroup of | #34304179, #34304185, #34304206, … |
| maximal quotient of | C2×#23771926, C2×#23771930, C2×#23771993, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 19270);