Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4 |
| direct product | C4×#10596936 |
| Sylow | C37 ⋊ C4×C4⋊C4 |
194 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2368 |
616 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #17994457, C8×#10596936, #17994462, … |
| maximal normal subgroup of | #17994457, C8×#10596936, #17994462, … |
| maximal quotient of | C4×#11924443, #17992822, #17992824, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 402);