Finite Group DatabasebetaFinite Group Databasebeta| order | 1184 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C22⋊C4×C37 ⋊ C2 |
| Sylow | C37 ⋊ C4×D4 |
94 conjugacy classes of subgroups.
| transitive degree | μt(G) = 592 |
Polycyclic presentation:
2^5,37|a^2=e,c^2=e,b^a=bd,f^c=f^36200 conjugacy classes — view the full character table.
| maximal subgroup of | C4×D4×D37, C2×#11924496, C4×#10596964, … |
| maximal normal subgroup of | C4×D4×D37, C2×#11924496, C4×#10596964, … |
| maximal quotient of | #14557380, C22⋊C4×Dic37, #14557384, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1184, 106);