Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#19098458 |
| Sylow | C79 ⋊ C2×#389 |
800 conjugacy classes of subgroups.
1616 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34187095, #34187113, C4×#19098458, … |
| maximal normal subgroup of | #34187095, #34187113, C4×#19098458, … |
| maximal quotient of | C2×Dic79⋊#95, C2×#23761632, C2×#23761635, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 6958);