Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#19099272 |
| Sylow | C79 ⋊ C2×#554 |
1200 conjugacy classes of subgroups.
1610 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34179916, #34254571, #34304819, … |
| maximal normal subgroup of | #34179916, #34254571, #34304819, … |
| maximal quotient of | C2×#23766278, C2×D4×Dic79⋊C4, C2×#23766305, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 18043);