Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | C2×C8×C37 ⋊ C4 |
| Sylow | C37 ⋊ #405 |
130 conjugacy classes of subgroups.
| transitive degree | μt(G) = 592 |
Polycyclic presentation:
2^6,37|a^2=d,b^2=e,d^2=f,c^b=cf,g^b=g^31,g^e=g^36184 conjugacy classes — view the full character table.
| maximal subgroup of | #18009645, #18009648, #18009649, … |
| maximal normal subgroup of | #18009645, #18009648, #18009649, … |
| maximal quotient of | C8×#10596957, C8×#10596953, #18009799, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 1512);