Finite Group DatabasebetaFinite Group Databasebeta| order | 884 |
| isoclinism | isoclinic class of D13 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C17 · Schur multiplier (H2) = C1 |
| direct product | C17×Dic13 |
| derived, Sylow | C13 ⋊ C4×C17 |
| Hall | C13×C17 ⋊ C4 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C2×C17 | D13 |
| commutator, hypocenter | C13 | C4×C17 |
| Frattini | C2 | C17×D13 |
| Fitting, socle, prime radical | C2×C13×C17 | C2 |
| cosocle | C2×C13 | C2×C17 |
| LCS | G ▷ C13 | |
| UCS | C1 ◁ C2×C17 | |
12 conjugacy classes of subgroups.
| transitive degree | μt(G) = 884 |
272 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C17×#1057, #13183725, D17×Dic13, … |
| maximal normal subgroup of | C17×#1057, #13183725, D17×Dic13, … |
| maximal quotient of | C17×#1055, C2×C17×Dic13, C3×C17×Dic13, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(884, 1);