Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| isoclinism | isoclinic class of Dic74 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×C4×Dic74 |
| Sylow | C37 ⋊ C2×C4×Q8 |
298 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2368 |
616 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #17992919, #17992939, C2×#14557263, … |
| maximal normal subgroup of | #17992919, #17992939, C2×#14557263, … |
| maximal quotient of | C2×C4×C4⋊Dic37, C2×C4×#10596936, C42×Dic74, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 1014);