Finite Group Databasebeta

C4×#95×D83 #35325471

order21248
automorphism?
homologyAbelianization (H1) = C2×C43 · Schur multiplier (H2) = C26×C42

Aliases

direct productC4×#95×D83

Splittings

FittingC4×#95×C83 ⋊ C2
SylowC83 ⋊ C2×C4×#95

Subgroups

subgroupG/H
centerC23×C4C22×D83
commutatorC2×C83C2×C43
FrattiniC24C23×D83
FittingC4×#95×C83C2
socle, cosocleC24×C83C24
prime radicalC24×D83C23
hypercenterC4×#95D83
hypocenterC83C2×C4×#95
LCSG ▷ C2×C83 ▷ C83
UCSC1 ◁ C23×C4 ◁ C4×#95

4462 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 10624

Conjugacy classes & character table

3440 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(21248, 90635);