Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C2×#19099039 |
| Fitting | C2×C4×Q8×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×#519 |
1488 conjugacy classes of subgroups.
1628 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34179689, #34254096, #34254097, … |
| maximal normal subgroup of | #34179689, #34254096, #34254097, … |
| maximal quotient of | C2×#23765754, C2×#23765764, C2×#23765765, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 17699);