Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#11719521 |
| Fitting | C23×Q8×C13 ⋊ C2 |
| Sylow | C13 ⋊ C2×#536 |
1512 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
284 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15769449, #15769497, #15769512, … |
| maximal normal subgroup of | #15769449, #15769497, #15769512, … |
| maximal quotient of | C2×#13117422, C2×#13117429, C2×#13117460, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 17827);