Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#14579139 |
| Fitting | C4×C4⋊C4×C79 ⋊ C2 |
| Sylow | C79 ⋊ C4×C22⋊Q8 |
656 conjugacy classes of subgroups.
1616 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C8×#14579139, #34295682, #34295692, … |
| maximal normal subgroup of | C8×#14579139, #34295682, #34295692, … |
| maximal quotient of | C4×#19098434, C4×#19098437, C4×#19098449, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 7043);