Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#11924543 |
| Sylow | C37 ⋊ C2×#131 |
266 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1184 |
400 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #17994398, #17994399, #17994434, … |
| maximal normal subgroup of | #17994398, #17994399, #17994434, … |
| maximal quotient of | C2×#14557489, C4×#11924543, C2×#14557500, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 1312);