Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C22×C4⋊C4×C17 ⋊ C2 |
| Sylow | C17 ⋊ #2579 |
584 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
Polycyclic presentation:
2^7,17|b^2=eg,c^2=g,b^a=be,c^a=cf,d^a=de,h^a=h^16,c^b=cg358 conjugacy classes — view the full character table.
| maximal subgroup of | #16932330, #16932335, #17088524, … |
| maximal normal subgroup of | #16932330, #16932335, #17088524, … |
| maximal quotient of | #16956719, #16957039, #16957686, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 9857);