Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×Dic136 |
| Sylow | C17 ⋊ C4×Q32 |
150 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2176 |
556 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16921776, #16921778, #16921782, … |
| maximal normal subgroup of | #16921776, #16921778, #16921782, … |
| maximal quotient of | C8×Dic136, #16946242, #16946316, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 6370);