Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#11924624 |
| Sylow | C37 ⋊ C2×#131 |
266 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1184 |
130 conjugacy classes — view the full character table.
| maximal subgroup of | #18010355, #18010373, #18010377, … |
| maximal normal subgroup of | #18010355, #18010373, #18010377, … |
| maximal quotient of | C2×#14558498, C4×#11924624, C2×#14558508, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 1626);