Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#19098634 |
| Fitting | C23×C8×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×#435 |
564 conjugacy classes of subgroups.
2552 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34178822, #34178824, #34181168, … |
| maximal normal subgroup of | #34178822, #34178824, #34181168, … |
| maximal quotient of | C2×#23762229, C2×#23762243, C2×#23762236, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 13189);