Finite Group DatabasebetaFinite Group Databasebeta| order | 928 |
| isoclinism | isoclinic class of #90796 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×C22⋊#1181 |
| unambiguous semidirect product | D29⋊(C22⋊C4) |
| unambiguous semidirect product | (C2×#1181)⋊C22 |
| Fitting | C23×C29 ⋊ C4 |
| Sylow | C29 ⋊ C2×C22⋊C4 |
132 conjugacy classes of subgroups.
| transitive degree | μt(G) = 232 |
76 conjugacy classes — view the full character table.
| maximal subgroup of | #14272040, #14272041, C4×C22⋊#1181, … |
| maximal normal subgroup of | #14272040, #14272041, C4×C22⋊#1181, … |
| maximal quotient of | C2×(C2×#1181)⋊C4, C4×C22⋊#1181, #14272104, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(928, 211);