Finite Group DatabasebetaFinite Group Databasebeta| order | 1184 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#10596936 |
| Sylow | C37 ⋊ C2×C4⋊C4 |
92 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1184 |
308 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14557258, #14557384, C4×#10596936, … |
| maximal normal subgroup of | #14557258, #14557384, C4×#10596936, … |
| maximal quotient of | C2×#11924443, C4×#10596936, #14557391, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1184, 100);