Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#14579190 |
| Fitting | C4×SD16×C79 ⋊ C2 |
| Sylow | C79 ⋊ C4×#137 |
484 conjugacy classes of subgroups.
1136 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C8×#14579190, #34257697, #34257711, … |
| maximal normal subgroup of | C8×#14579190, #34257697, #34257711, … |
| maximal quotient of | C8×#14579190, #34257858, #34257880, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 13324);