Finite Group Databasebeta

C2×C491⋊#95 #44536569

order31424
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C25

Aliases

direct productC2×C491⋊#95
unambiguous semidirect product(C2×C491)⋊#95

Splittings

SylowC491 ⋊ C2×#95

Subgroups

subgroupG/H
centerC24C2×D491
commutatorC2×C491C2×C42
FrattiniC23C22×D491
FittingC23×C4×C491C2
socle, prime radicalC24×C491C22
cosocleC23×C491C23
hypercenterC23×C4D491
hypocenterC491C2×#95
LCSG ▷ C2×C491 ▷ C491
UCSC1 ◁ C24 ◁ C23×C4

330 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 31424

Conjugacy classes & character table

7880 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31424, 393);