Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C22×Q8×D37 |
| Fitting | C22×Q8×C37 ⋊ C2 |
| Sylow | C37 ⋊ C23×Q8 |
850 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1184 |
400 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #17994518, #17994529, #391×D37, … |
| maximal normal subgroup of | #17994518, #17994529, #391×D37, … |
| maximal quotient of | C22×C4⋊C4×D37, C2×C4×Q8×D37, C22×#11924501, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 1372);