Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | D4×#64438 |
| Sylow | C37 ⋊ C8×D4 |
134 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1184 |
130 conjugacy classes — view the full character table.
| maximal subgroup of | D8×#64438, #18010176, SD16×#64438, … |
| maximal normal subgroup of | D8×#64438, #18010176, SD16×#64438, … |
| maximal quotient of | D8×#64438, SD16×#64438, Q16×#64438, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 1575);