Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C2×C4×Q8×D79 |
| Fitting | C2×C4×Q8×C79 ⋊ C2 |
| Sylow | C79 ⋊ C22×C4×Q8 |
1664 conjugacy classes of subgroups.
1640 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34179638, #1461×D79, #1467×D79, … |
| maximal normal subgroup of | #34179638, #1461×D79, #1467×D79, … |
| maximal quotient of | C2×C4×C4⋊C4×D79, C42×Q8×D79, C2×C4×#14579126, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 17683);