Finite Group DatabasebetaFinite Group Databasebeta| order | 11744 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C8×C367 ⋊ C2 |
| Sylow | C367 ⋊ #135 |
62 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,367|c^2=e,d^2=e,b^a=bd,d^a=de,f^a=f^366,d^b=de,f^b=f^3662942 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37553992, #37553994, #37553995, … |
| maximal normal subgroup of | #37553992, #37553994, #37553995, … |
| maximal quotient of | #37554183, #37554224, C4×D2936, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11744, 168);