Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C22×C4 |
| direct product | C2×#19098284 |
| Sylow | C79 ⋊ C2×#322 |
248 conjugacy classes of subgroups.
2576 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34175098, #34175102, #34175133, … |
| maximal normal subgroup of | #34175098, #34175102, #34175133, … |
| maximal quotient of | C4×#19098284, C2×C79⋊#1273, #34178692, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 2785);