Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C26 |
| direct product | C8×D4×D79 |
| Fitting | C8×D4×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×C8×D4 |
616 conjugacy classes of subgroups.
1640 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D4⋊C16×D79, #34197974, #34198178, … |
| maximal normal subgroup of | D4⋊C16×D79, #34197974, #34198178, … |
| maximal quotient of | C8×D8×D79, C8×SD16×D79, C8×Q16×D79, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 13179);