Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
| direct product | M16×Dic158 |
| Sylow | C79 ⋊ Q8×M16 |
388 conjugacy classes of subgroups.
1610 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34182603, #34182607, #34182617, … |
| maximal normal subgroup of | #34182603, #34182607, #34182617, … |
| maximal quotient of | M16×C4⋊Dic79, M16×Dic79⋊C4, #34286918, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 13463);