Finite Group Databasebeta

C4×C239⋊#95 #44482768

order30592
automorphism?
homologyAbelianization (H1) = C43 · Schur multiplier (H2) = C23×C42

Aliases

direct productC4×C239⋊#95

Splittings

SylowC239 ⋊ C4×#95

Subgroups

subgroupG/H
centerC23×C4C2×D239
commutatorC2×C239C43
FrattiniC24C22×D239
FittingC22×C42×C239C2
socle, prime radical, cosocleC24×C239C23
hypercenterC22×C42D239
hypocenterC239C4×#95
LCSG ▷ C2×C239 ▷ C239
UCSC1 ◁ C23×C4 ◁ C22×C42

752 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 30592

Conjugacy classes & character table

7696 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30592, 2730);