Finite Group DatabasebetaFinite Group Databasebeta| order | 18464 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | D4×#14556313 |
| Fitting | D4×C577 ⋊ C4 |
| Sylow | C577 ⋊ C4×D4 |
94 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2308 |
740 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D8×#14556313, SD16×#14556313, #49148988, … |
| maximal normal subgroup of | D8×#14556313, SD16×#14556313, #49148988, … |
| maximal quotient of | C22⋊C4×#14556313, C4⋊C4×#14556313, #49148896, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18464, 226);