Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | C22⋊C4×D316 |
| Fitting | C4×C22⋊C4×C79 ⋊ C2 |
| Sylow | C79 ⋊ D4×C22⋊C4 |
1252 conjugacy classes of subgroups.
1610 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34184687, #34184691, #34184715, … |
| maximal normal subgroup of | #34184687, #34184691, #34184715, … |
| maximal quotient of | C22⋊C4×(C2×D79)⋊C4, C22⋊C4×C4⋊Dic79, #95×D316, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 7333);