Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C2×#41×Dic79 |
| Sylow | C79 ⋊ C2×C4×#41 |
1728 conjugacy classes of subgroups.
1640 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34193676, #34193679, #34193731, … |
| maximal normal subgroup of | #34193676, #34193679, #34193731, … |
| maximal quotient of | C2×#117×Dic79, C2×C4×D4×Dic79, C2×C4×Q8×Dic79, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 17692);