Finite Group DatabasebetaFinite Group Databasebeta| order | 11948 |
| isoclinism | isoclinic class of #1181 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C103 · Schur multiplier (H2) = C1 |
| direct product | C103×#1181 |
| Fitting, socle, Hall | C29×C103 ⋊ C4 |
| derived, Sylow | C29 ⋊ C4×C103 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C103 | #1181 |
| commutator, hypocenter | C29 | C4×C103 |
| Frattini | C1 | G |
| Fitting, socle | C29×C103 | C4 |
| prime radical | D29×C103 | C2 |
| cosocle | D29 | C2×C103 |
| LCS | G ▷ C29 | |
| UCS | C1 ◁ C103 | |
12 conjugacy classes of subgroups.
1133 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #1181×C103⋊C3, C3×C103×#1181, C103×C3⋊#1181 |
| maximal normal subgroup of | #1181×C103⋊C3, C3×C103×#1181 |
| maximal quotient of | C3×C103×#1181, C103×C3⋊#1181 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11948, 6);