Finite Group DatabasebetaFinite Group Databasebeta| order | 17984 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | Q8×#14555886 |
| Sylow | C281 ⋊ C8×Q8 |
102 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17984 |
2840 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49094100, SD16×#14555886, #49094107, … |
| maximal normal subgroup of | #49094100, SD16×#14555886, #49094107, … |
| maximal quotient of | C4⋊C4×#14555886, #49095862, #49096022, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17984, 675);