Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#19098633 |
| Fitting | C2×C4⋊C8×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×#435 |
564 conjugacy classes of subgroups.
1616 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34197500, #34286589, #34286594, … |
| maximal normal subgroup of | #34197500, #34286589, #34286594, … |
| maximal quotient of | C2×#23762228, C2×#23762242, C2×#23762235, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 13188);