Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
| direct product | C2×C8×Dic158 |
| Sylow | C79 ⋊ C2×C8×Q8 |
440 conjugacy classes of subgroups.
2576 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C8×#14579079, #34178843, C8×#14579086, … |
| maximal normal subgroup of | C8×#14579079, #34178843, C8×#14579086, … |
| maximal quotient of | C2×C8×C4⋊Dic79, C2×C8×Dic79⋊C4, C4×C8×Dic158, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 13431);