Finite Group DatabasebetaFinite Group Databasebeta| order | 16448 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
| direct product | C2×#22551583 |
| Sylow | C257 ⋊ C2×#125 |
226 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16448 |
2588 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #45665274, #45665276, #45665283, … |
| maximal normal subgroup of | #45665274, #45665276, #45665283, … |
| maximal quotient of | C2×#30656602, C2×#30656620, C2×#30656624, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16448, 1070);