| order | 18176 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C23×C4 |
| direct product | C4×#17985726 |
| Fitting | C4×C4⋊C8×C71 ⋊ C2 |
| Sylow | C71 ⋊ C4×D4⋊C8 |
774 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9088 |
2912 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18176, 60163);