Finite Group DatabasebetaFinite Group Databasebeta| order | 18272 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×#22603718 |
| Fitting | C2×D4×C571 ⋊ C2 |
| Sylow | C571 ⋊ C2×D8 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9136 |
2864 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49142346, C4×#22603718, #49142375, … |
| maximal normal subgroup of | #49142346, C4×#22603718, #49142375, … |
| maximal quotient of | C2×#32912614, C2×#32912615, C2×#32912627, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18272, 156);