Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C26 · Schur multiplier (H2) = C214 |
| direct product | C23×Q8×D79 |
| Fitting | C23×Q8×C79 ⋊ C2 |
| Sylow | C79 ⋊ C24×Q8 |
6264 conjugacy classes of subgroups.
1640 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #1446×D79, #34210653, #34210656, … |
| maximal normal subgroup of | #1446×D79, #34210653, #34210656, … |
| maximal quotient of | C23×C4⋊C4×D79, C22×C4×Q8×D79, C23×#14579126, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 19304);