Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
| direct product | C2×#19098980 |
| Sylow | C79 ⋊ C2×#504 |
368 conjugacy classes of subgroups.
1640 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34203367, #34203368, #34203373, … |
| maximal normal subgroup of | #34203367, #34203368, #34203373, … |
| maximal quotient of | C2×#23764997, C4×#19098980, C2×#23765014, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 17609);