Finite Group DatabasebetaFinite Group Databasebeta| order | 14176 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×Dic886 |
| Sylow | C443 ⋊ C4×Q8 |
70 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14176 |
3556 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #43247447, #43247449, C4×#20296775, … |
| maximal normal subgroup of | #43247447, #43247449, C4×#20296775, … |
| maximal quotient of | C4×C4⋊Dic443, C4×Dic443⋊C4, #43247600, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14176, 112);