Finite Group DatabasebetaFinite Group Databasebeta| order | 11936 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C4⋊C4×C373 ⋊ C2 |
| Sylow | C373 ⋊ C4×D4 |
94 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,373|a^2=e,c^2=e,b^a=bd,f^b=f^372,f^c=f^3721880 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37559502, #37559504, #37559507, … |
| maximal normal subgroup of | #37559502, #37559504, #37559507, … |
| maximal quotient of | #37559269, C4⋊C4×Dic373, #37559293, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11936, 108);