Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#19098497 |
| Sylow | C79 ⋊ C2×#398 |
692 conjugacy classes of subgroups.
1604 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34210102, C4×#19098497, #34213652, … |
| maximal normal subgroup of | #34210102, C4×#19098497, #34213652, … |
| maximal quotient of | C2×#23761651, C2×#23761652, C2×#23761657, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 7744);