Finite Group DatabasebetaFinite Group Databasebeta| order | 9616 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
| direct product | C2×#18012474 |
| derived, Sylow | C601 ⋊ C2×C8 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C22 | #14558894 |
| commutator, hypocenter | C601 | C2×C8 |
| Frattini | C2 | C2×#14558894 |
| Fitting, socle, prime radical | C22×C601 | C4 |
| cosocle | Dic601 | C22 |
| LCS | G ▷ C601 | |
| UCS | C1 ◁ C22 | |
22 conjugacy classes of subgroups.
616 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#18012474, #34063880, C22⋊#18012474, … |
| maximal normal subgroup of | C4×#18012474, #34063880, C22⋊#18012474, … |
| maximal quotient of | C4×#18012474, C22⋊#18012474, C4⋊#18012474, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9616, 47);