Finite Group DatabasebetaFinite Group Databasebeta| order | 944 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C4×C59 ⋊ C2 |
| Sylow | C59 ⋊ #41 |
| subgroup | G/H | |
|---|---|---|
| center | C4 | C2×D59 |
| commutator, socle, cosocle | C2×C59 | C23 |
| Frattini | C2 | C22×D59 |
| Fitting | C2×C4×C59 | C2 |
| hypercenter | C2×C4 | D59 |
| hypocenter | C59 | #41 |
| LCS | G ▷ C2×C59 ▷ C59 | |
| UCS | C1 ◁ C4 ◁ C2×C4 | |
40 conjugacy classes of subgroups.
| transitive degree | μt(G) = 472 |
Polycyclic presentation:
2^4,59|b^2=d,c^a=cd,e^a=e^58242 conjugacy classes — view the full character table.
| maximal subgroup of | #14273653, #14273655, #14273733, … |
| maximal normal subgroup of | #14273653, #14273655, #14273733, … |
| maximal quotient of | #14273684, #14273686, C4×C22⋊D59, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(944, 30);