Finite Group DatabasebetaFinite Group Databasebeta| order | 14368 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#20297746 |
| Sylow | C449 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7184 |
916 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #43272877, #43272883, #43272890, … |
| maximal normal subgroup of | #43272877, #43272883, #43272890, … |
| maximal quotient of | C2×#28385395, C4×#20297746, C2×#28385397, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14368, 232);